From 7d79609fc285a28020228d50086ca5a5d951d43a Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 28 Oct 2022 20:40:14 +0100 Subject: [PATCH 01/88] reimplement equalPartition() --- CHANGELOG.md | 14 ++++ pom.xml | 7 +- src/main/java/micycle/pgs/PGS_Processing.java | 67 ++++++++++++------- src/main/java/micycle/pgs/PGS_Voronoi.java | 26 +++---- 4 files changed, 73 insertions(+), 41 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 8131f3c8..c5dac59a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -5,6 +5,20 @@ All notable changes to PGS will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). Dates are *YYYY-MM-DD*. +## **1.3.0** *(2022-xx-xx)* + +### Added +* + +### Changed +* Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). + +### Fixed +* + +### Removed +* + ## **1.3.0** *(2022-10-20)* ### Added diff --git a/pom.xml b/pom.xml index 03088dd5..03bb9bb6 100644 --- a/pom.xml +++ b/pom.xml @@ -4,7 +4,7 @@ 4.0.0 micycle PGS - 1.3.0 + 1.3.1-SNAPSHOT Processing Geometry Suite Geometric algorithms for Processing @@ -270,11 +270,6 @@ UniformNoise 1.1 - - com.github.micycle1 - polysplit - 1.1 - com.github.micycle1 space-filling-curves diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index 8af834f3..cc759600 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -4,6 +4,7 @@ import static micycle.pgs.PGS_Conversion.fromPShape; import static micycle.pgs.PGS_Conversion.toPShape; +import java.awt.geom.Rectangle2D; import java.util.ArrayDeque; import java.util.ArrayList; import java.util.Arrays; @@ -19,6 +20,9 @@ import java.util.stream.Stream; import java.util.stream.StreamSupport; +import org.apache.commons.math3.ml.clustering.CentroidCluster; +import org.apache.commons.math3.ml.clustering.Clusterable; +import org.apache.commons.math3.ml.clustering.KMeansPlusPlusClusterer; import org.locationtech.jts.algorithm.Angle; import org.locationtech.jts.algorithm.Orientation; import org.locationtech.jts.algorithm.hull.ConcaveHullOfPolygons; @@ -60,6 +64,8 @@ import org.tinfour.common.SimpleTriangle; import org.tinfour.common.Vertex; import org.tinfour.utils.TriangleCollector; +import org.tinfour.voronoi.BoundedVoronoiBuildOptions; +import org.tinfour.voronoi.BoundedVoronoiDiagram; import com.vividsolutions.jcs.conflate.coverage.CoverageCleaner; import com.vividsolutions.jcs.conflate.coverage.CoverageCleaner.Parameters; @@ -68,7 +74,6 @@ import com.vividsolutions.jump.feature.FeatureUtil; import com.vividsolutions.jump.task.DummyTaskMonitor; -import de.incentergy.geometry.impl.RandomPolygonSplitter; import micycle.balaban.BalabanSolver; import micycle.balaban.Point; import micycle.balaban.Segment; @@ -748,30 +753,47 @@ public static PShape convexPartition(PShape shape) { /** * Partitions a shape into N approximately equal-area polygonal cells. - *

- * This method produces a voronoi-like output. * - * @param shape a polygonal (non-group, no holes) shape - * @param parts number of roughly equal area partitons to create - * @param precise whether to use a subroutine that partitions the shape into - * more precisely equal partitions. The tradeoff here is - * computation time vs partition quality + * @param shape a polygonal (non-group, no holes) shape to partition + * @param parts number of roughly equal area partitons to create * @return a GROUP PShape, whose child shapes are partitions of the original * @since 1.3.0 */ - public static PShape equalPartition(final PShape shape, final int parts, boolean precise) { + @SuppressWarnings("unchecked") + public static PShape equalPartition(final PShape shape, final int parts) { final Geometry g = fromPShape(shape); - if (g.getGeometryType().equals(Geometry.TYPENAME_POLYGON)) { - RandomPolygonSplitter splitter = new RandomPolygonSplitter(); - List partitions; - if (precise) { - partitions = splitter.split((Polygon) g, parts, 10000, 3); - } else { - partitions = splitter.split((Polygon) g, parts, 2000, 5); - } - return toPShape(partitions); + if (g instanceof Polygonal) { + final Envelope e = g.getEnvelopeInternal(); + + int samples = (int) (e.getArea() / 100); // sample every ~10 units in x and y axes + + final List samplePoints = PGS_Processing.generateRandomGridPoints(shape, samples, false, 0.8); + KMeansPlusPlusClusterer clusterer = new KMeansPlusPlusClusterer<>(parts, 20); + List cl = samplePoints.stream().map(p -> (Clusterable) () -> new double[] { p.x, p.y }) + .collect(Collectors.toList()); + List> clusters = clusterer.cluster((Collection) cl); + List vertices = new ArrayList<>(); + clusters.forEach(c -> { + double[] p = c.getCenter().getPoint(); + vertices.add(new Vertex(p[0], p[1], 0)); + }); + + double x = e.getMinX(); + double y = e.getMinY(); + double w = e.getMaxX() - e.getMinX(); + double h = e.getMaxY() - e.getMinY(); + + final BoundedVoronoiBuildOptions options = new BoundedVoronoiBuildOptions(); + options.setBounds(new Rectangle2D.Double(x, y, w, h)); + + final BoundedVoronoiDiagram v = new BoundedVoronoiDiagram(vertices, options); + List faces = v.getPolygons().stream().map(PGS_Voronoi::toPolygon).collect(Collectors.toList()); + + faces = faces.parallelStream().map(f -> OverlayNG.overlay(f, g, OverlayNG.INTERSECTION)).collect(Collectors.toList()); + + return PGS_Conversion.toPShape(faces); } else { - System.err.println("equalPartition(): Input shape is not a polygon."); + System.err.println("equalPartition(): Input shape is not polygonal."); return shape; } } @@ -950,11 +972,10 @@ public static PShape cleanCoverage(PShape coverage, double distanceTolerance, do } private static Polygon toGeometry(Envelope envelope) { - return GEOM_FACTORY.createPolygon( - GEOM_FACTORY.createLinearRing(new Coordinate[] { new Coordinate(envelope.getMinX(), envelope.getMinY()), + return GEOM_FACTORY + .createPolygon(GEOM_FACTORY.createLinearRing(new Coordinate[] { new Coordinate(envelope.getMinX(), envelope.getMinY()), new Coordinate(envelope.getMaxX(), envelope.getMinY()), new Coordinate(envelope.getMaxX(), envelope.getMaxY()), - new Coordinate(envelope.getMinX(), envelope.getMaxY()), new Coordinate(envelope.getMinX(), envelope.getMinY()) }), - null); + new Coordinate(envelope.getMinX(), envelope.getMaxY()), new Coordinate(envelope.getMinX(), envelope.getMinY()) })); } /** diff --git a/src/main/java/micycle/pgs/PGS_Voronoi.java b/src/main/java/micycle/pgs/PGS_Voronoi.java index 2733537d..00d2b05c 100644 --- a/src/main/java/micycle/pgs/PGS_Voronoi.java +++ b/src/main/java/micycle/pgs/PGS_Voronoi.java @@ -16,7 +16,6 @@ import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.geom.Polygonal; import org.locationtech.jts.operation.overlayng.OverlayNG; -import org.tinfour.common.IIncrementalTin; import org.tinfour.common.IQuadEdge; import org.tinfour.common.Vertex; import org.tinfour.standard.IncrementalTin; @@ -85,17 +84,21 @@ public static PShape innerVoronoi(final PShape shape, final boolean constrain) { * @see #innerVoronoi(Collection) */ public static PShape innerVoronoi(final PShape shape, final boolean constrain, double[] bounds) { - final IIncrementalTin tin = PGS_Triangulation.delaunayTriangulationMesh(shape, null, false, 0, false); - final Geometry g = fromPShape(shape); + final List vertices = new ArrayList<>(); + final Coordinate[] coords = g.getCoordinates(); + for (int i = 0; i < coords.length; i++) { + vertices.add(new Vertex(coords[i].x, coords[i].y, 0, i)); + } + final BoundedVoronoiBuildOptions options = new BoundedVoronoiBuildOptions(); final double x, y, w, h; if (bounds == null) { final Envelope envelope = g.getEnvelopeInternal(); x = envelope.getMinX(); y = envelope.getMinY(); - w = envelope.getMaxX() - envelope.getMinX(); - h = envelope.getMaxY() - envelope.getMinY(); + w = envelope.getWidth(); + h = envelope.getHeight(); } else { x = bounds[0]; y = bounds[1]; @@ -104,7 +107,7 @@ public static PShape innerVoronoi(final PShape shape, final boolean constrain, d } options.setBounds(new Rectangle2D.Double(x, y, w, h)); - final BoundedVoronoiDiagram v = new BoundedVoronoiDiagram(tin.getVertices(), options); + final BoundedVoronoiDiagram v = new BoundedVoronoiDiagram(vertices, options); List faces = v.getPolygons().stream().map(PGS_Voronoi::toPolygon).collect(Collectors.toList()); if (constrain && g instanceof Polygonal) { @@ -251,14 +254,12 @@ public static PShape compoundVoronoi(PShape shape, double[] bounds) { final HashMap vertexCellMap = new HashMap<>(); voronoi.getPolygons().forEach(p -> vertexCellMap.put(p.getVertex(), p)); - PShape voronoiCells = new PShape(); - /* * There is a voronoi cell for each densified vertex. We first group densified * vertices by their source geometry and then union/dissolve the cells belonging * to each vertex group. */ - segmentVertexGroups.forEach(vertexGroup -> { + final List faces = segmentVertexGroups.parallelStream().map(vertexGroup -> { PShape cellSegments = new PShape(PConstants.GROUP); vertexGroup.forEach(segmentVertex -> { ThiessenPolygon thiessenCell = vertexCellMap.get(segmentVertex); @@ -272,16 +273,17 @@ public static PShape compoundVoronoi(PShape shape, double[] bounds) { cellSegments.addChild(cellSegment); } }); - voronoiCells.addChild(PGS_ShapeBoolean.unionMesh(cellSegments)); - }); + return PGS_ShapeBoolean.unionMesh(cellSegments); + }).collect(Collectors.toList()); + PShape voronoiCells = PGS_Conversion.flatten(faces); PGS_Conversion.setAllFillColor(voronoiCells, RGB.WHITE); PGS_Conversion.setAllStrokeColor(voronoiCells, RGB.PINK, 2); return voronoiCells; } - private static Polygon toPolygon(ThiessenPolygon polygon) { + static Polygon toPolygon(ThiessenPolygon polygon) { Coordinate[] coords = new Coordinate[polygon.getEdges().size() + 1]; int i = 0; for (IQuadEdge e : polygon.getEdges()) { From 4a1b6b1cddd83b4e30fb26636f96d14c7dc4d2a7 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 28 Oct 2022 20:59:31 +0100 Subject: [PATCH 02/88] refactor unionMesh --- .../java/micycle/pgs/PGS_ShapeBoolean.java | 19 ++++++++----------- 1 file changed, 8 insertions(+), 11 deletions(-) diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index e649bbf0..09d3dbc5 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -6,9 +6,10 @@ import java.util.ArrayList; import java.util.Arrays; import java.util.Collection; +import java.util.HashMap; import java.util.List; +import java.util.Map; import java.util.Objects; -import java.util.Set; import java.util.stream.Collectors; import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.prep.PreparedGeometry; @@ -140,12 +141,13 @@ public static PShape unionMesh(PShape mesh) { return mesh; } - final Set allEdges = PGS.makeHashSet(mesh.getChildCount() * 3); - final List duplicateEdges = new ArrayList<>(allEdges.size()); + Map edges = new HashMap<>(mesh.getChildCount() * 3); + + final List allEdges; /* * Compute set of unique edges belonging to the mesh (this set is equivalent to - * the boundary); ignore edges if they are seen more than once. + * the boundary). */ for (PShape child : mesh.getChildren()) { for (int i = 0; i < child.getVertexCount(); i++) { @@ -153,17 +155,12 @@ public static PShape unionMesh(PShape mesh) { final PVector b = child.getVertex((i + 1) % child.getVertexCount()); if (!a.equals(b)) { PEdge edge = new PEdge(a, b); - if (!allEdges.add(edge)) { // could use a bag collection here - duplicateEdges.add(edge); - } + edges.merge(edge, 1, Integer::sum); } } } - allEdges.removeAll(duplicateEdges); // allEdges now contains boundary edges only - if (allEdges.isEmpty()) { - return new PShape(); - } + allEdges = edges.entrySet().stream().filter(e -> e.getValue() == 1).map(e -> e.getKey()).collect(Collectors.toList()); /* * Now find a sequential/winding order for the vertices of the boundary. The From 9d04ab37e390d343877ba3a75e42848f751c76f1 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 13 Nov 2022 23:00:04 +0000 Subject: [PATCH 03/88] improve interpolation --- src/main/java/micycle/pgs/color/Palette.java | 104 ------------------ .../pgs/commons/ShapeInterpolation.java | 69 ++++++------ 2 files changed, 31 insertions(+), 142 deletions(-) delete mode 100644 src/main/java/micycle/pgs/color/Palette.java diff --git a/src/main/java/micycle/pgs/color/Palette.java b/src/main/java/micycle/pgs/color/Palette.java deleted file mode 100644 index 86cf7624..00000000 --- a/src/main/java/micycle/pgs/color/Palette.java +++ /dev/null @@ -1,104 +0,0 @@ -package micycle.pgs.color; - -/** - * A selection of color palettes. - *

- * All palettes were taken from (and are visible at) - * Roni Kaufman Color - * Pals. - * - * @author Michael Carleton - * - */ -public enum Palette { - - // @formatter:off - _1115(new String[] { "#ffe03d", "#fe4830", "#d33033", "#6d358a", "#1c509e", "#00953c" }), - ARCADE(new String[] { "#021d34", "#228fca", "#dcedf0" }), - ARCS(new String[] { "#ff3232", "#ff9932", "#ffff32", "#32ff32", "#32ffff", "#3232ff", "#ff32ff" }), - AVANTGARDE(new String[] { "#f398c3", "#cf3895", "#a0d28d", "#06b4b0", "#fef45f", "#fed000", "#0c163f" }), - BASE(new String[] { "#f2eb8a", "#fed000", "#fc8405", "#ed361a", "#e2f0f3", "#b3dce0", "#4464a1", "#203051", "#ffc5c7", "#f398c3", "#cf3895", "#6d358a", "#06b4b0", "#4b8a5f" }), - BRAIN(new String[] { "#ee726b", "#ffc5c7", "#fef9c6" }), - CHEDDAR(new String[] { "#ff7b00", "#ff8800", "#ff9500", "#ffa200", "#ffaa00", "#ffb700", "#ffc300" }), - CLOUDY(new String[] { "#044e9e", "#6190d3", "#fcf7ed", "#fcd494", "#f4b804" }), - COMMIT(new String[] { "#563d7c", "#0096d8", "#f4e361", "#f24679" }), - CONNECTION(new String[] { "#f24358", "#f2a643", "#f2e343", "#43f278", "#43a0f2", "#c343f2" }), - CUBE(new String[] { "#fde200", "#ef2626", "#5600ae", "#713df5" }), - CUBE_DARK(new String[] { "#d6d1b4", "#bab397", "#44473f", "#292e2a" }), - DATA(new String[] { "#f9f9f9", "#ff0000", "#0000ff" }), - EDIT(new String[] { "#1c1c1c", "#f47a9d", "#f4ea7a", "#f2f2f2" }), - ESCAPE(new String[] { "#f3e17e", "#dd483c", "#4b8a5f", "#0d150b", "#faf8e2" }), - EVENING(new String[] { "#ff4f19", "#15084d", "#5ce6e6" }), - FANS(new String[] { "#000000", "#83a6bc", "#faece1", "#bab1a8" }), - FLAT(new String[] { "#203051", "#4464a1", "#62b6de", "#b3dce0", "#e2f0f3" }), - FREAK(new String[] { "#07224f", "#ed361a", "#fc8405", "#f7c72a" }), - HER(new String[] { "#cd1440", "#fafafa" }), - HOMAGE(new String[] { "#fef9c6", "#ffcc4d", "#f5b800", "#56a1c4", "#4464a1", "#ee726b", "#df5f50", "#5a3034" }), - JELLY(new String[] { "#102340", "#fe01ec", "#8a07da" }), - LEFT(new String[] { "#070213", "#1c0541", "#300560", "#3e137f", "#412287", "#3b3d8c", "#e6f41c" }), - LESSON(new String[] { "#ed225d", "#3caf65", "#0d40bf", "#f5b800", "#2a2a2a" }), - LIGHT(new String[] { "#00b2b4", "#fdd35b", "#3b4696", "#f4737d", "#333333" }), - LIZARD(new String[] { "#fff247", "#47e9ff", "#8447ff", "#ff47ce" }), - MARBLE(new String[] { "#218ad4", "#76df55", "#0b1435", "#ffffff" }), - META(new String[] { "#226699", "#dd2e44", "#ffcc4d" }), - MONDRIAN(new String[] { "#0a0a0a", "#f7f3f2", "#0077e1", "#f5d216", "#fc3503" }), - MORNING(new String[] { "#ffd919", "#262104", "#fffbe6" }), - NORTH(new String[] { "#dc060e", "#ffd400", "#0064b0", "#001a5b", "#ffffff" }), - OPTICAL(new String[] { "#f2eb8a", "#fed000", "#fc8405", "#ed361a", "#e2f0f3", "#b3dce0", "#4464a1", "#203051", "#ffc5c7", "#f398c3", "#cf3895", "#6d358a", "#06b4b0", "#4b8a5f" }), - PAINT(new String[] { "#b30000", "#e6cf00", "#1283b3", "#fafafa", "#0a0a0a" }), - PIE(new String[] { "#fdcc01", "#f60001", "#001ea6", "#007d45", "#040a07", "#f1ebf7" }), - PLAY(new String[] { "#e20404", "#fcd202", "#ffffff", "#000000" }), - REPETITION(new String[] { "#2c2060", "#4bd3e5", "#fffbe6", "#ffd919", "#ff4f19" }), - SCIENCE(new String[] { "#ffe819", "#000000" }), - SHEETS(new String[] { "#025760", "#7fd0d3", "#b3ead7", "#eff7F5", "#fae9c1", "#f8ca75", "#e88d44" }), - SPLASH(new String[] { "#32312e", "#795330", "#c7ae82", "#f5f2e3" }), - STARS(new String[] { "#0a1966", "#ffef0d", "#fafafa" }), - TEK(new String[] { "#fcf7ed", "#c6c3ba", "#a5a29b", "#fcde97", "#fccf64" }), - TEN(new String[] { "#fffbe6", "#050505", "#abcd5e", "#29ac9f", "#14976b", "#b3dce0", "#62b6de", "#2b67af", "#f589a3", "#ef562f", "#fc8405", "#f9d531" }), - TROLL(new String[] { "#294984", "#6ca0a7", "#ffc789", "#df5f50", "#5a3034", "#fff1dd" }), - TROPICAL(new String[] { "#3f7373", "#4d8c8c", "#5ba6a6", "#69bfbf", "#77d9d9", "#f0de84", "#c5d419" }), - WAVE(new String[] { "#008cff", "#0099ff", "#00a5ff", "#00b2ff", "#00bfff", "#00cbff", "#00d8ff", "#00e5ff", "#00f2ff", "#00ffff" }), - WHEEL(new String[] { "#ffe140", "#ffa922", "#1bc0c6", "#2484ae", "#134e6e" }); - // @formatter:on - - private final String[] value; - private final int[] intValue; - - private Palette(String[] value) { - this.value = value; - this.intValue = RGB.hexToColor(value); - } - - public String[] stringValue() { - return value; - } - - public String[] stringValue(int rotation) { - return rotate(stringValue(), rotation); - } - - public int[] intValue() { - return intValue; - } - - public int[] intValue(int rotation) { - return rotate(intValue, rotation); - } - - private static int[] rotate(int[] data, int rotation) { - int[] result = new int[data.length]; - for (int i = 0; i < data.length; i++) { - result[(i + (data.length - rotation)) % data.length] = data[i]; - } - return result; - } - - private static String[] rotate(String[] data, int rotation) { - String[] result = new String[data.length]; - for (int i = 0; i < data.length; i++) { - result[(i + (data.length - rotation)) % data.length] = data[i]; - } - return result; - } - -} diff --git a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java index d25e9b2a..83bc5ae4 100644 --- a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java +++ b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java @@ -1,14 +1,13 @@ package micycle.pgs.commons; import java.util.Collections; - +import java.util.Random; import org.locationtech.jts.algorithm.Orientation; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.geom.LinearRing; -import org.locationtech.jts.linearref.LengthIndexedLine; /** * Best-guess interpolation between any two linear rings. @@ -25,6 +24,8 @@ public class ShapeInterpolation { * Break-up single polygon to interpolate with a multipolygon. * See https://github.com/veltman/openvis/blob/master/README.md * See 'Guaranteed intersection-free polygon morphing' + * See CGAl Shape Deformation: https://doc.cgal.org/latest/Barycentric_coordinates_2/index.html#title10 + * https://homepages.inf.ed.ac.uk/tkomura/cav/presentation14_2018.pdf * RAP C++ : https://github.com/catherinetaylor2/Shape_Interpolation/blob/master/rigid_interp.cpp * and https://github.com/deliagander/ARAPShapeInterpolation */ @@ -44,42 +45,33 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { } // find the "smaller" ring (as measured by number of vertices) - LinearRing smaller, bigger; + CoordinateList smaller, bigger; boolean smallerIsTo = false; if (from.getNumPoints() > to.getNumPoints()) { - bigger = from; - smaller = to; + bigger = new CoordinateList(from.getCoordinates(), false); + smaller = new CoordinateList(to.getCoordinates(), false); smallerIsTo = true; } else { - bigger = to; - smaller = from; + bigger = new CoordinateList(to.getCoordinates(), false); + smaller = new CoordinateList(from.getCoordinates(), false); } - CoordinateList smallerLine, biggerLine; - if (from.getNumPoints() == to.getNumPoints()) { - // don't attempt to densify if same number of points - smallerLine = new CoordinateList(smaller.getCoordinates()); - smallerLine.remove(smallerLine.size() - 1); // remove closing vertex - } else { - /* - * Sample the ring that has fewer vertices N times (in this case each new edge - * is the same length). An alternative approach would be to split existing edges - * (starting with the longest) until it has N vertices. - */ - final LengthIndexedLine l = new LengthIndexedLine(smaller); - smallerLine = new CoordinateList(); // densified version of smaller - - int n = bigger.getNumPoints() - 1; // don't count closed vertex - final double length = l.getEndIndex(); // perimeter length - for (int i = 0; i < n; i++) { - double index = i / (n - 1d); - smallerLine.add(l.extractPoint(index * length)); - } + bigger.closeRing(); // ensure closed + smaller.closeRing(); // ensure closed + smaller.remove(smaller.size() - 1); // unclose (to be closed later, after array rotation) + bigger.remove(bigger.size() - 1); // unclose (to be closed later, after array rotation) + + final int diff = bigger.size() - smaller.size(); + Random r = new Random(1337); + for (int i = 0; i < diff; i++) { + int index = r.nextInt(smaller.size() - 1); + Coordinate a = smaller.get(index); + Coordinate c = smaller.get(index + 1); + Coordinate b = new Coordinate((a.x + c.x) / 2, (a.y + c.y) / 2); // midpoint + smaller.add(index + 1, b); // insert b between a and c (shift c onwards right) } - biggerLine = new CoordinateList(bigger.getCoordinates(), true); - biggerLine.remove(biggerLine.size() - 1); // remove closing vertex - int n = biggerLine.size(); // number of coords (unclosed) + final int n = bigger.size(); // number of coords (unclosed) int bestOffset = 0; double min = Double.MAX_VALUE; @@ -92,7 +84,7 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { double sumOfSquares = 0; for (int i = 0; i < n; i++) { - sumOfSquares += distSq(smallerLine.get((offset + i) % n), biggerLine.get(i)); + sumOfSquares += distSq(smaller.get((offset + i) % n), bigger.get(i)); } if (sumOfSquares < min) { @@ -105,17 +97,17 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { } if (bestOffset != 0) { - Collections.rotate(smallerLine, -bestOffset); + Collections.rotate(smaller, -bestOffset); } - smallerLine.closeRing(); - biggerLine.closeRing(); + smaller.closeRing(); + bigger.closeRing(); if (smallerIsTo) { - this.to = smallerLine; - this.from = biggerLine; + this.to = smaller; + this.from = bigger; } else { - this.from = smallerLine; - this.to = biggerLine; + this.from = smaller; + this.to = bigger; } } @@ -132,6 +124,7 @@ private static Coordinate lerp(Coordinate from, Coordinate to, double t) { } private static double distSq(Coordinate a, Coordinate b) { + // dont use Coordinate.distance() because it uses Math.hypot() (slower!) double dx = a.x - b.x; double dy = a.y - b.y; return (dx * dx + dy * dy); From a7bd7d9d043001b70dc395727971d1e71bdefdf3 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 18 Dec 2022 15:50:55 +0000 Subject: [PATCH 04/88] small source change --- src/main/java/micycle/pgs/PGS_Hull.java | 41 +++++++++++++------------ 1 file changed, 22 insertions(+), 19 deletions(-) diff --git a/src/main/java/micycle/pgs/PGS_Hull.java b/src/main/java/micycle/pgs/PGS_Hull.java index 923824a3..596d8333 100644 --- a/src/main/java/micycle/pgs/PGS_Hull.java +++ b/src/main/java/micycle/pgs/PGS_Hull.java @@ -78,25 +78,6 @@ public static PShape concaveHull(PShape shapeSet, double concavity, boolean tigh return toPShape(hull.getHull()); } - /** - * Computes the concave hull of a point set using a breadth-first method. - * - * @param points - * @param threshold euclidean distance threshold - * @return - * @since 1.1.0 - * @see #concaveHullDFS(List, double) - * @see #concaveHullBFS2(List, double) - */ - public static PShape concaveHullBFS(List points, double concavity) { - concavity *= concavity; // square to make output change more linearly as concavity goes 0...1 - // Geometry g = fromPShape(PGS_Conversion.toPointsPShape(points)); - Geometry g = prepareConcaveGeometry(points); - org.locationtech.jts.algorithm.hull.ConcaveHull concaveHull = new org.locationtech.jts.algorithm.hull.ConcaveHull(g); - concaveHull.setMaximumEdgeLengthRatio(concavity); - return toPShape(concaveHull.getHull()); - } - /** * Computes the concave hull of a point set using a depth-first method. In * contrast to the BFS method, the depth-first approach produces shapes that are @@ -117,6 +98,28 @@ public static PShape concaveHullDFS(List points, double threshold) { return toPShape(hull.getConcaveHullDFS(new TriCheckerChi(threshold))); } + /** + * Computes the concave hull of a point set using a breadth-first method. + * + * @param points + * @param edgeLengthRatio Sets the target maximum edge length ratio for the + * concave hull. The edge length ratio is a fraction of + * the difference between the longest and shortest edge + * lengths in the Delaunay Triangulation of the input + * points. It is a value in the range 0 to 1. + * @return + * @since 1.1.0 + * @see #concaveHullDFS(List, double) + * @see #concaveHullBFS2(List, double) + */ + public static PShape concaveHullBFS(List points, double edgeLengthRatio) { + edgeLengthRatio *= edgeLengthRatio; // square to make output change more linearly as concavity goes 0...1 + Geometry g = prepareConcaveGeometry(points); + org.locationtech.jts.algorithm.hull.ConcaveHull concaveHull = new org.locationtech.jts.algorithm.hull.ConcaveHull(g); + concaveHull.setMaximumEdgeLengthRatio(edgeLengthRatio); + return toPShape(concaveHull.getHull()); + } + /** * Computes the concave hull of a point set using a different algorithm. This * approach has a more "organic" structure compared to other concaveBFS method. From babe46540281590cd4190f8b2e5160374daa226f Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 26 Dec 2022 21:05:17 +0000 Subject: [PATCH 05/88] exchange java random for XoRoShiRo128PlusRandom --- pom.xml | 5 + src/main/java/micycle/pgs/PGS_Coloring.java | 4 +- src/main/java/micycle/pgs/PGS_Conversion.java | 4 +- src/main/java/micycle/pgs/PGS_PointSet.java | 4 +- src/main/java/micycle/pgs/PGS_Processing.java | 4 +- .../pgs/commons/PoissonDistributionJRUS.java | 4 +- .../pgs/commons/PolygonDecomposition.java | 93 +++++++++++-------- .../pgs/commons/ShapeInterpolation.java | 5 +- .../micycle/pgs/FastPolygonizerTests.java | 3 +- 9 files changed, 72 insertions(+), 54 deletions(-) diff --git a/pom.xml b/pom.xml index 03bb9bb6..ac589892 100644 --- a/pom.xml +++ b/pom.xml @@ -316,6 +316,11 @@ polyline-decoder 5b6f55fc1a + + it.unimi.dsi + dsiutils + 2.7.2 + diff --git a/src/main/java/micycle/pgs/PGS_Coloring.java b/src/main/java/micycle/pgs/PGS_Coloring.java index 792f2d85..a030a055 100644 --- a/src/main/java/micycle/pgs/PGS_Coloring.java +++ b/src/main/java/micycle/pgs/PGS_Coloring.java @@ -4,7 +4,6 @@ import java.util.Collection; import java.util.List; import java.util.Map; -import java.util.Random; import org.jgrapht.alg.color.ColorRefinementAlgorithm; import org.jgrapht.alg.color.LargestDegreeFirstColoring; @@ -16,6 +15,7 @@ import org.jgrapht.graph.DefaultEdge; import org.locationtech.jts.noding.SegmentString; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.pgs.color.RGB; import micycle.pgs.commons.GeneticColoring; import micycle.pgs.commons.RLFColoring; @@ -231,7 +231,7 @@ private static Coloring findColoring(Collection shapes, Coloring switch (coloringAlgorithm) { case RANDOM : // randomly ordered sequential - coloring = new RandomGreedyColoring<>(graph, new Random()).getColoring(); + coloring = new RandomGreedyColoring<>(graph, new XoRoShiRo128PlusRandom()).getColoring(); break; case SMALLEST_DEGREE_LAST : coloring = new SmallestDegreeLastColoring<>(graph).getColoring(); diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index f3b960e1..4624cd72 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -24,7 +24,6 @@ import java.util.HashSet; import java.util.List; import java.util.Map; -import java.util.Random; import java.util.Set; import java.util.stream.Collectors; @@ -62,6 +61,7 @@ import it.rambow.master.javautils.PolylineEncoder; import it.rambow.master.javautils.Track; import it.rambow.master.javautils.Trackpoint; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.pgs.commons.PEdge; import processing.core.PConstants; import processing.core.PMatrix; @@ -752,7 +752,7 @@ public static SimpleGraph toGraph(PShape shape) { public static PShape fromGraph(SimpleGraph graph, double normalizationFactor, double boundsX, double boundsY) { normalizationFactor = Math.min(Math.max(normalizationFactor, 0.001), 1); LayoutAlgorithm2D layout; - layout = new IndexedFRLayoutAlgorithm2D<>(50, 0.7, normalizationFactor, new Random(1337)); + layout = new IndexedFRLayoutAlgorithm2D<>(50, 0.7, normalizationFactor, new XoRoShiRo128PlusRandom(1337)); LayoutModel2D model = new MapLayoutModel2D<>(new Box2D(boundsX, boundsY)); layout.layout(graph, model); diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index 821b9fd4..50836c96 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -3,7 +3,6 @@ import java.util.ArrayList; import java.util.Collections; import java.util.List; -import java.util.Random; import java.util.SplittableRandom; import java.util.stream.Collectors; import java.util.stream.IntStream; @@ -17,6 +16,7 @@ import org.tinfour.common.IIncrementalTin; import org.tinspin.index.kdtree.KDTree; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.PoissonDistributionJRUS; import processing.core.PShape; @@ -711,7 +711,7 @@ public static List nRooksLDS(double xMin, double yMin, double xMax, dou final double h = yMax - yMin; final List rookPositions = IntStream.range(0, n).boxed().collect(Collectors.toList()); - Collections.shuffle(rookPositions, new Random(seed)); + Collections.shuffle(rookPositions, new XoRoShiRo128PlusRandom(seed)); final float offset = 1.0f / (n * 2); diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index cc759600..c3fe5583 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -14,7 +14,6 @@ import java.util.HashSet; import java.util.Iterator; import java.util.List; -import java.util.Random; import java.util.SplittableRandom; import java.util.stream.Collectors; import java.util.stream.Stream; @@ -74,6 +73,7 @@ import com.vividsolutions.jump.feature.FeatureUtil; import com.vividsolutions.jump.task.DummyTaskMonitor; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.balaban.BalabanSolver; import micycle.balaban.Point; import micycle.balaban.Segment; @@ -455,7 +455,7 @@ public static List generateRandomPoints(PShape shape, int points, long randomPoints.add(new PVector((float) rX, (float) rY)); } } else if (remaining < 0) { - Collections.shuffle(randomPoints, new Random(seed)); // shuffle so that points are removed from regions randomly + Collections.shuffle(randomPoints, new XoRoShiRo128PlusRandom(seed)); // shuffle so that points are removed from regions randomly return randomPoints.subList(0, points); } diff --git a/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java b/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java index 65fc1725..2cbbc86c 100644 --- a/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java +++ b/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java @@ -3,9 +3,9 @@ import java.util.ArrayList; import java.util.Collections; import java.util.List; -import java.util.Random; import java.util.SplittableRandom; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import processing.core.PVector; /** @@ -116,7 +116,7 @@ public List generate(double xmin, double ymin, double xmax, double ymax double radius2 = (Math.sqrt(0.5) * ((xmax - xmin) * (ymax - ymin))) / n; double radius = Math.sqrt(radius2); List pointz = generate(xmin, ymin, xmax, ymax, radius, 11); - Collections.shuffle(pointz, new Random(1337)); + Collections.shuffle(pointz, new XoRoShiRo128PlusRandom(1337)); return pointz.subList(0, Math.min(pointz.size(), n)); // use min() in case undershoot } diff --git a/src/main/java/micycle/pgs/commons/PolygonDecomposition.java b/src/main/java/micycle/pgs/commons/PolygonDecomposition.java index 46c003ce..5d8a81cf 100644 --- a/src/main/java/micycle/pgs/commons/PolygonDecomposition.java +++ b/src/main/java/micycle/pgs/commons/PolygonDecomposition.java @@ -1,25 +1,25 @@ /* * Copyright (c) 2010-2020 William Bittle http://www.dyn4j.org/ * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without modification, are permitted + * + * Redistribution and use in source and binary forms, with or without modification, are permitted * provided that the following conditions are met: - * - * * Redistributions of source code must retain the above copyright notice, this list of conditions + * + * * Redistributions of source code must retain the above copyright notice, this list of conditions * and the following disclaimer. - * * Redistributions in binary form must reproduce the above copyright notice, this list of conditions - * and the following disclaimer in the documentation and/or other materials provided with the + * * Redistributions in binary form must reproduce the above copyright notice, this list of conditions + * and the following disclaimer in the documentation and/or other materials provided with the * distribution. - * * Neither the name of the copyright holder nor the names of its contributors may be used to endorse or + * * Neither the name of the copyright holder nor the names of its contributors may be used to endorse or * promote products derived from this software without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR - * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND - * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR - * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, - * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER - * IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR + * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND + * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER + * IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ package micycle.pgs.commons; @@ -32,7 +32,6 @@ import org.dyn4j.geometry.Geometry; import org.dyn4j.geometry.Segment; import org.dyn4j.geometry.Vector2; -import org.dyn4j.resources.Messages; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.GeometryFactory; import org.locationtech.jts.geom.Polygon; @@ -45,7 +44,7 @@ * This algorithm is a O(nr) complexity algorithm where n is the number of input * vertices and r is the number of output convex polygons. This algorithm can * achieve optimal decompositions, however this is not guaranteed. - * + * * @author William Bittle * @version 3.1.10 * @see Bayazit @@ -70,13 +69,15 @@ public static List decompose(Polygon polygon) { */ private static List decompose(Vector2... points) { // check for null array - if (points == null) - throw new NullPointerException(Messages.getString("geometry.decompose.nullArray")); + if (points == null) { + throw new NullPointerException("Points are null."); + } // get the number of points int size = points.length; // check the size - if (size < 4) - throw new IllegalArgumentException(Messages.getString("geometry.decompose.invalidSize")); + if (size < 4) { + throw new IllegalArgumentException("Points have invalid size (<4)."); + } // get the winding order double winding = Geometry.getWinding(points); @@ -105,7 +106,7 @@ private static List decompose(Vector2... points) { /** * Internal recursive method to decompose the given polygon into convex * sub-polygons. - * + * * @param polygon the polygon to decompose * @param polygons the list to store the convex polygons resulting from the * decomposition @@ -206,12 +207,14 @@ private static void decomposePolygon(List polygon, List polygo lower.addAll(polygon.subList(i, upperIndex + 1)); lower.add(s); upper.add(s); - if (lowerIndex != 0) + if (lowerIndex != 0) { upper.addAll(polygon.subList(lowerIndex, size)); + } upper.addAll(polygon.subList(0, i + 1)); } else { - if (i != 0) + if (i != 0) { lower.addAll(polygon.subList(i, size)); + } lower.addAll(polygon.subList(0, upperIndex + 1)); lower.add(s); upper.add(s); @@ -230,8 +233,9 @@ private static void decomposePolygon(List polygon, List polygo int jmod = j % size; Vector2 q = polygon.get(jmod); - if (q == p || q == p0 || q == p1) + if (q == p || q == p0 || q == p1) { continue; + } // check the distance first, since this is generally // a much faster operation than checking if its visible @@ -247,12 +251,14 @@ private static void decomposePolygon(List polygon, List polygo // once we find the closest partition the polygon if (i < closestIndex) { lower.addAll(polygon.subList(i, closestIndex + 1)); - if (closestIndex != 0) + if (closestIndex != 0) { upper.addAll(polygon.subList(closestIndex, size)); + } upper.addAll(polygon.subList(0, i + 1)); } else { - if (i != 0) + if (i != 0) { lower.addAll(polygon.subList(i, size)); + } lower.addAll(polygon.subList(0, closestIndex + 1)); upper.addAll(polygon.subList(closestIndex, i + 1)); } @@ -275,7 +281,6 @@ private static void decomposePolygon(List polygon, List polygo // if we get here, we know the given polygon has 0 reflex vertices // and is therefore convex, add it to the list of convex polygons if (polygon.size() < 3) { - System.err.println(Messages.getString("geometry.decompose.crossingEdges")); return; } Vector2[] vertices = new Vector2[polygon.size()]; @@ -293,7 +298,7 @@ private static void decomposePolygon(List polygon, List polygo * Returns true if the given vertex, b, is a reflex vertex. *

* A reflex vertex is a vertex who's interior angle is greater than 180 degrees. - * + * * @param p0 the vertex to test * @param p the previous vertex * @param p1 the next vertex @@ -307,7 +312,7 @@ private static boolean isReflex(Vector2 p0, Vector2 p, Vector2 p1) { /** * Returns true if the given point p is to the left of the line created by a-b. - * + * * @param a the first point of the line * @param b the second point of the line * @param p the point to test @@ -320,7 +325,7 @@ private static boolean left(Vector2 a, Vector2 b, Vector2 p) { /** * Returns true if the given point p is to the left or on the line created by * a-b. - * + * * @param a the first point of the line * @param b the second point of the line * @param p the point to test @@ -332,7 +337,7 @@ private static boolean leftOn(Vector2 a, Vector2 b, Vector2 p) { /** * Returns true if the given point p is to the right of the line created by a-b. - * + * * @param a the first point of the line * @param b the second point of the line * @param p the point to test @@ -345,7 +350,7 @@ private static boolean right(Vector2 a, Vector2 b, Vector2 p) { /** * Returns true if the given point p is to the right or on the line created by * a-b. - * + * * @param a the first point of the line * @param b the second point of the line * @param p the point to test @@ -358,7 +363,7 @@ private static boolean rightOn(Vector2 a, Vector2 b, Vector2 p) { /** * Returns true if the given lines intersect and returns the intersection point * in the p parameter. - * + * * @param a1 the first point of the first line * @param a2 the second point of the first line * @param b1 the first point of the second line @@ -399,7 +404,7 @@ private static boolean getIntersection(Vector2 a1, Vector2 a2, Vector2 b1, Vecto /** * Returns true if the vertex at index i can see the vertex at index j. - * + * * @param polygon the current polygon * @param i the ith vertex * @param j the jth vertex @@ -421,31 +426,37 @@ private static boolean isVisible(List polygon, int i, int j) { // can i see j if (isReflex(iv0, iv, iv1)) { - if (leftOn(iv, iv0, jv) && rightOn(iv, iv1, jv)) + if (leftOn(iv, iv0, jv) && rightOn(iv, iv1, jv)) { return false; + } } else { - if (rightOn(iv, iv1, jv) || leftOn(iv, iv0, jv)) + if (rightOn(iv, iv1, jv) || leftOn(iv, iv0, jv)) { return false; + } } // can j see i if (isReflex(jv0, jv, jv1)) { - if (leftOn(jv, jv0, iv) && rightOn(jv, jv1, iv)) + if (leftOn(jv, jv0, iv) && rightOn(jv, jv1, iv)) { return false; + } } else { - if (rightOn(jv, jv1, iv) || leftOn(jv, jv0, iv)) + if (rightOn(jv, jv1, iv) || leftOn(jv, jv0, iv)) { return false; + } } // make sure the segment from i to j doesn't intersect any edges for (int k = 0; k < s; k++) { int ki1 = k + 1 == s ? 0 : k + 1; - if (k == i || k == j || ki1 == i || ki1 == j) + if (k == i || k == j || ki1 == i || ki1 == j) { continue; + } Vector2 k1 = polygon.get(k); Vector2 k2 = polygon.get(ki1); Vector2 in = Segment.getSegmentIntersection(iv, jv, k1, k2); - if (in != null) + if (in != null) { return false; + } } return true; diff --git a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java index 83bc5ae4..57f5e02a 100644 --- a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java +++ b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java @@ -1,7 +1,8 @@ package micycle.pgs.commons; import java.util.Collections; -import java.util.Random; +import java.util.SplittableRandom; + import org.locationtech.jts.algorithm.Orientation; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; @@ -62,7 +63,7 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { bigger.remove(bigger.size() - 1); // unclose (to be closed later, after array rotation) final int diff = bigger.size() - smaller.size(); - Random r = new Random(1337); + SplittableRandom r = new SplittableRandom(1337); for (int i = 0; i < diff; i++) { int index = r.nextInt(smaller.size() - 1); Coordinate a = smaller.get(index); diff --git a/src/test/java/micycle/pgs/FastPolygonizerTests.java b/src/test/java/micycle/pgs/FastPolygonizerTests.java index 5f40dce7..fa8e60bd 100644 --- a/src/test/java/micycle/pgs/FastPolygonizerTests.java +++ b/src/test/java/micycle/pgs/FastPolygonizerTests.java @@ -17,6 +17,7 @@ import org.locationtech.jts.noding.SegmentString; import org.locationtech.jts.operation.polygonize.Polygonizer; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.pgs.commons.PEdge; import processing.core.PShape; @@ -97,7 +98,7 @@ void testSimpleHalfDangling() { @SuppressWarnings("unchecked") @Test void testRobustnessRandomly() { - Random r = new Random(1337); + Random r = new XoRoShiRo128PlusRandom(0); for (int k = 0; k < 100; k++) { List segmentStrings = new ArrayList<>(111 + k); for (int i = 0; i < 111 + k; i++) { From 3269a6c01caa88e088960ab0f2c63a899be6c4b8 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 29 Dec 2022 01:45:21 +0000 Subject: [PATCH 06/88] reimplment discrete curve evolution --- CHANGELOG.md | 3 +- src/main/java/micycle/pgs/PGS_Morphology.java | 11 +- .../pgs/commons/DiscreteCurveEvolution.java | 174 ++++++++++++------ 3 files changed, 120 insertions(+), 68 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index c5dac59a..8cbd910a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -5,13 +5,14 @@ All notable changes to PGS will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). Dates are *YYYY-MM-DD*. -## **1.3.0** *(2022-xx-xx)* +## **1.3.1** *(2022-xx-xx)* ### Added * ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). +* Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particulary on large inputs. ### Fixed * diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index 5e5dbf02..ad6b0351 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -210,8 +210,7 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { LinearRing[] dceRings = new LinearRing[rings.length]; for (int i = 0; i < rings.length; i++) { LinearRing ring = rings[i]; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution( - Math.max(4, (int) Math.round(removeFraction * ring.getNumPoints()))); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * ring.getNumPoints())); dceRings[i] = PGS.GEOM_FACTORY.createLinearRing(dce.process(ring)); } LinearRing[] holes = null; @@ -221,7 +220,7 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { return toPShape(PGS.GEOM_FACTORY.createPolygon(dceRings[0], holes)); } else if (g instanceof LineString) { LineString l = (LineString) g; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution(Math.max(4, (int) Math.round(removeFraction * l.getNumPoints()))); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * l.getNumPoints())); return toPShape(PGS.GEOM_FACTORY.createLineString(dce.process(l))); } else { System.err.println(g.getGeometryType() + " are not supported for the simplifyDCE() method (yet)."); @@ -246,14 +245,14 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { * @see #simplifyDCE(PShape, double) */ public static PShape simplifyDCE(PShape shape, int targetNumVertices) { - targetNumVertices += 1; // as to not count the closing vertex in the number Geometry g = fromPShape(shape); if (g instanceof Polygon) { + targetNumVertices += 1; // as to not count the closing vertex in the number LinearRing[] rings = new LinearRingIterator(g).getLinearRings(); LinearRing[] dceRings = new LinearRing[rings.length]; for (int i = 0; i < rings.length; i++) { LinearRing ring = rings[i]; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution(Math.max(4, targetNumVertices)); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution(targetNumVertices); dceRings[i] = PGS.GEOM_FACTORY.createLinearRing(dce.process(ring)); } LinearRing[] holes = null; @@ -263,7 +262,7 @@ public static PShape simplifyDCE(PShape shape, int targetNumVertices) { return toPShape(PGS.GEOM_FACTORY.createPolygon(dceRings[0], holes)); } else if (g instanceof LineString) { LineString l = (LineString) g; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution(Math.max(4, targetNumVertices)); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution(targetNumVertices); return toPShape(PGS.GEOM_FACTORY.createLineString(dce.process(l))); } else { System.err.println(g.getGeometryType() + " are not supported for the simplifyDCE() method (yet)."); diff --git a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java index 0455edd6..9228886f 100644 --- a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java +++ b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java @@ -1,117 +1,169 @@ package micycle.pgs.commons; -import java.util.ArrayList; +import java.util.Arrays; import java.util.List; +import java.util.TreeSet; +import java.util.stream.Collectors; -import org.apache.commons.math3.complex.Complex; import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.CoordinateList; import org.locationtech.jts.geom.LineString; import net.jafama.FastMath; /** - * Convexity Rule for Shape Decomposition Based on Discrete Contour Evolution. + * Discrete Curve Evolution simplifies polygonal curves, neglecting minor + * distortions while preserving perceptual appearance. The main idea of the + * process is a stepwise elimination of kinks (vertex where consecutive line + * segments meet) that are least relevant to the shape of the polygonal curve. + * The relevance of kinks is intended to reflect their contribution to the + * overall shape of the polygonal curve. + *

+ * The shape relevance of every kink can be defined by the turn angle and the + * lengths of the neighboring line segments; tthe larger both the relative + * lengths and the turn angle of a kink, the greater is its contribution to the + * shape of a curve. * - * @author Diego Catalano * @author Michael Carleton */ public class DiscreteCurveEvolution { - // from github.com/DiegoCatalano/Catalano-Framework/ - - private int vertices; + /*- + * Relevance measure was lifted from github.com/DiegoCatalano/Catalano-Framework, + * which implements 'Convexity Rule for Shape Decomposition Based on Discrete + * Contour Evolution'. + * This implementation uses doubly-linked coordinates + ordered set for better + * time complexity (nlogn vs n^2). + */ - public DiscreteCurveEvolution() { - this(20); - } + private int vertexPreserveCount; /** * * @param vertices the number of vertices to preserve */ public DiscreteCurveEvolution(int vertices) { - this.vertices = vertices; + this.vertexPreserveCount = vertices; } + /** + * + * @param lineString a closed or unclosed LineString + * @return + */ public Coordinate[] process(LineString lineString) { return process(lineString.getCoordinates()); } public Coordinate[] process(Coordinate[] coords) { - if (vertices > coords.length) { - vertices = Math.min(coords.length, vertices); -// throw new IllegalArgumentException("Number of points left must be higher than number of the shape."); + boolean closed = coords[0].equals2D(coords[coords.length - 1]); + int vertexRemoveCount = Math.min(coords.length - vertexPreserveCount, coords.length - (closed ? 4 : 2)); + + /* + * Create linked coordinates, then link each one to its neighbours once all have + * been instantiated. + */ + final List linkedCoords = Arrays.asList(coords).stream().map(c -> new LinkedCoordinate(c)) + .collect(Collectors.toList()); + for (int i = 0; i < linkedCoords.size(); i++) { + LinkedCoordinate prev = linkedCoords.get(i == 0 ? linkedCoords.size() - 1 : i - 1); + LinkedCoordinate next = linkedCoords.get(i == linkedCoords.size() - 1 ? 0 : i + 1); + linkedCoords.get(i).assignLinks(prev, next); } - List complex = new ArrayList<>(); - for (int i = 0; i < coords.length; i++) { - complex.add(new Complex(coords[i].x, coords[i].y)); + if (!closed) { // unlink start and end if coords are unclosed + linkedCoords.get(0).markAsStart(); + linkedCoords.get(linkedCoords.size() - 1).markAsEnd(); } - for (int i = 0; i < coords.length - vertices; i++) { - double[] angleMeasure = angle(complex); - int index = minIndex(angleMeasure); - complex.remove(index); + /* + * The first element of the treeset is always the LinkedCoordinate having the + * least relevance. When it is removed, its neighbors must also be removed, + * re-linked then re-inserted with their new relevance values. + */ + final TreeSet t = new TreeSet<>(linkedCoords); + for (int i = 0; i < vertexRemoveCount; i++) { + LinkedCoordinate removed = t.pollFirst(); + LinkedCoordinate previous = removed.prev; + LinkedCoordinate next = removed.next; + t.remove(previous); // temporarily remove prev coordinate + t.remove(next); // temporarily remove next coordinate + previous.relinkToNext(next); // mutually link prev and next (and recompute relevance) + t.add(previous); // re-add (with new relevance score) + t.add(next); // re-add (with new relevance score) } - Coordinate[] newShape = new Coordinate[complex.size()]; + CoordinateList output = new CoordinateList(); - for (int i = 0; i < complex.size(); i++) { - newShape[i] = new Coordinate(complex.get(i).getReal(), complex.get(i).getImaginary()); + LinkedCoordinate first = closed ? t.first() : linkedCoords.get(0); + LinkedCoordinate current = first; + do { + output.add(current.c); + } while ((current = current.next) != first && current != null); + if (closed) { + output.closeRing(); } - return newShape; + return output.toCoordinateArray(); } - private double[] angle(List z) { - int n = z.size(); - double max = -Double.MAX_VALUE; + /** + * Models a "kink". + */ + private static class LinkedCoordinate implements Comparable { - double[] his = new double[n]; - for (int j = 1; j < n - 1; j++) { - Complex c = z.get(j - 1).subtract(z.get(j + 1)); - double lm = magnitude(c); + final Coordinate c; + LinkedCoordinate prev, next; + double relevance; - c = z.get(j).subtract(z.get(j + 1)); - double lr = magnitude(c); + public LinkedCoordinate(Coordinate c) { + this.c = c; + } - c = z.get(j - 1).subtract(z.get(j)); - double ll = magnitude(c); + void assignLinks(LinkedCoordinate prev, LinkedCoordinate next) { + this.prev = prev; + this.next = next; + computeRelevance(); + } - double alpha = FastMath.acos((lr * lr + ll * ll - lm * lm) / (2 * lr * ll)); + void markAsStart() { + this.prev = null; + relevance = Double.MAX_VALUE / 2; + } - // turning angle (0-180) - double a = 180 - alpha * 180 / Math.PI; + void markAsEnd() { + this.next = null; + relevance = Double.MAX_VALUE; + } - // the original relevance measure - his[j] = a * lr * ll / (lr + ll); + void relinkToNext(LinkedCoordinate newNext) { + this.next = newNext; // link me to other + next.prev = this; // link other to me - if (his[j] > max) { - max = his[j]; - } + this.computeRelevance(); + newNext.computeRelevance(); } - his[0] = max; - his[n - 1] = max; + void computeRelevance() { + if (prev == null || next == null) { + relevance = prev == null ? Double.MAX_VALUE / 2 : Double.MAX_VALUE; + return; + } + double uv = prev.c.distance(c); + double vw = c.distance(next.c); + double uw = prev.c.distance(next.c); - return his; - } + double alpha = FastMath.acos((vw * vw + uv * uv - uw * uw) / (2 * vw * uv)); - private static double magnitude(Complex c) { - return Math.sqrt(c.getReal() * c.getReal() + c.getImaginary() * c.getImaginary()); - } + double a = 180 - alpha * 180 / Math.PI; // turning angle (0-180) + relevance = a * vw * uv / (vw + uv); + } - private static int minIndex(double[] matrix) { - int index = 0; - double min = Double.MAX_VALUE; - for (int i = 0; i < matrix.length; i++) { - double currentValue = Math.min(min, matrix[i]); - if (currentValue < min) { - min = currentValue; - index = i; - } + @Override + public int compareTo(LinkedCoordinate o) { + return Double.compare(this.relevance, o.relevance); } - return index; + } } \ No newline at end of file From ed84ee0c1aa6e257314090e3c76716e292cbf599 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 29 Dec 2022 17:28:13 +0000 Subject: [PATCH 07/88] add sobolLDS() --- CHANGELOG.md | 6 +- README.md | 8 ++- resources/point_set/sobolLDS.gif | Bin 0 -> 173092 bytes src/main/java/micycle/pgs/PGS_PointSet.java | 76 +++++++++++++++++++- 4 files changed, 85 insertions(+), 5 deletions(-) create mode 100644 resources/point_set/sobolLDS.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 8cbd910a..eaade17b 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -8,14 +8,14 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ## **1.3.1** *(2022-xx-xx)* ### Added -* +* `sobolLDS()` to `PGS_PointSet`. Generates a 2D set of deterministic stratified points from the Sobol low discrepancy sequence. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). -* Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particulary on large inputs. +* Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particularly on large inputs. ### Fixed -* +* A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. ### Removed * diff --git a/README.md b/README.md index 766268f6..c1d2125b 100644 --- a/README.md +++ b/README.md @@ -732,15 +732,21 @@ Much of the functionality (but by no means all) is demonstrated below: + Sobol LDS N-Rooks LDS Distance Prune Hilbert Sort - EMST + + + + EMST + + diff --git a/resources/point_set/sobolLDS.gif b/resources/point_set/sobolLDS.gif new file mode 100644 index 0000000000000000000000000000000000000000..cdf67487baa4407744ea1fe7e6ed940dd27a87fe GIT binary patch literal 173092 zcmc$`cRbaN|2}@saU71-A)93H9ge;%HdUsX|2T~bn!o}OJ+R<*mko0*ww=j4^1o{^JNP*qiP z@;mn<_#5P(d!B~csaSzfT*9OIRJw(0mlHE&n)uR_9hl4t_J$lPA2xo)W-Jq z)^!zWxA!{p3%a{LcXNV`}PfeUmifqB8T97Hjrr_7-oQ%QoCM zj%mfvB-zO$x^is0&4tqGY3!v-HOfaz94|-NKAx&@mgU@Qp09T8w`>YotaHCvKK}H5 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z7yeWCT90NM*0nac@C_Fh*?xM;TO?>wT%oaTo8>K@n#Av)+H7FBrqn*lh#RFZJ{&M- zC?}6oXAJ|y9(3>!SA@{oDb^KI1d)d106oPSqh{D3BEsO%dCO{sB?&I(4720e;BR{h pwaU^r6@!j{hqyxQfgc3=;D7s9&EU~+0oa5Qe9gpCqzZwE{vSYFAU*&9 literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index 50836c96..8d4c8152 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -9,6 +9,7 @@ import org.apache.commons.math3.random.RandomGenerator; import org.apache.commons.math3.random.Well19937c; +import org.apache.commons.math3.util.FastMath; import org.apache.commons.math3.util.Pair; import org.jgrapht.alg.interfaces.SpanningTreeAlgorithm; import org.jgrapht.alg.spanning.PrimMinimumSpanningTree; @@ -42,6 +43,9 @@ private PGS_PointSet() { /** * Returns a filtered copy of the input, containing no points that are within * the distanceTolerance of each other. + *

+ * This method can be used to convert a random point set into a blue-noise-like + * (poisson) point set. * * @param points list of points to filter * @param distanceTolerance a point that is within this distance of a previously @@ -53,7 +57,7 @@ public static List prunePointsWithinDistance(List points, doub final List newPoints = new ArrayList<>(); for (PVector p : points) { final double[] coords = new double[] { p.x, p.y }; - if (tree.getNodeCount() == 0 || tree.query1NN(coords).dist() > distanceTolerance) { + if (tree.size() == 0 || tree.query1NN(coords).dist() > distanceTolerance) { tree.insert(coords, p); newPoints.add(p); } @@ -729,6 +733,76 @@ public static List nRooksLDS(double xMin, double yMin, double xMax, dou return points; } + /** + * Generates a 2D set of deterministic stratified points (bounded by a + * rectangle) from the Sobol low discrepancy sequence (LDS). + *

+ * A Sobol sequence is a low-discrepancy sequence with the property that for all + * values of N,its subsequence (x1, ... xN) has a low discrepancy. It can be + * used to generate pseudo-randompoints in a space S, which are + * equi-distributed. + * + * @param xMin x-coordinate of boundary minimum + * @param yMin y-coordinate of boundary minimum + * @param xMax x-coordinate of boundary maximum + * @param yMax y-coordinate of boundary maximum + * @param n number of points to generate + * @since 1.3.1 + * @return + */ + public static List sobolLDS(double xMin, double yMin, double xMax, double yMax, int n) { + final double w = xMax - xMin; + final double h = yMax - yMin; + final int dimension = 2; + final int BITS = 52; + final double SCALE = FastMath.pow(2, BITS); + final long[][] direction = new long[dimension][BITS + 1]; + final long[] x = new long[dimension]; + final int[] m = new int[] { 0, 1 }; + final int a = 0; + final int s = m.length - 1; + + for (int i = 1; i <= BITS; i++) { + direction[0][i] = 1l << (BITS - i); + } + + // init direction vector + final int d = 1; + for (int i = 1; i <= s; i++) { + direction[d][i] = ((long) m[i]) << (BITS - i); + } + for (int i = s + 1; i <= BITS; i++) { + direction[d][i] = direction[d][i - s] ^ (direction[d][i - s] >> s); + for (int k = 1; k <= s - 1; k++) { + direction[d][i] ^= ((a >> (s - 1 - k)) & 1) * direction[d][i - k]; + } + } + + List output = new ArrayList<>(n); + for (int i = 1; i < n; i++) { + + // find the index c of the rightmost 0 + int c = 1; + int value = i - 1; + while ((value & 1) == 1) { + value >>= 1; + c++; + } + + x[0] ^= direction[0][c]; + x[1] ^= direction[1][c]; + double vX = x[0] / SCALE; + vX *= w; + vX += xMin; + double vY = x[1] / SCALE; + vY *= h; + vY += yMin; + output.add(new PVector((float) vX, (float) vY)); + } + + return output; + } + /** * Computes the Euclidean minimum spanning tree (EMST) of a set of * points. From 98608358371cb5ec1470bdb38df844638cb544eb Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 2 Jan 2023 23:16:54 +0000 Subject: [PATCH 08/88] add cluster() --- CHANGELOG.md | 1 + README.md | 2 + resources/point_set/cluster.png | Bin 0 -> 393494 bytes src/main/java/micycle/pgs/PGS_PointSet.java | 68 +++++++++++++++++++- 4 files changed, 70 insertions(+), 1 deletion(-) create mode 100644 resources/point_set/cluster.png diff --git a/CHANGELOG.md b/CHANGELOG.md index eaade17b..0579b6e8 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -9,6 +9,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Added * `sobolLDS()` to `PGS_PointSet`. Generates a 2D set of deterministic stratified points from the Sobol low discrepancy sequence. +* `cluster()` to `PGS_PointSet`. Clusters a collection points into N groups (using k-means). ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index c1d2125b..bac01567 100644 --- a/README.md +++ b/README.md @@ -745,9 +745,11 @@ Much of the functionality (but by no means all) is demonstrated below: EMST + Cluster + diff --git a/resources/point_set/cluster.png b/resources/point_set/cluster.png new file mode 100644 index 0000000000000000000000000000000000000000..d6c1290aad7b4f31cc45125ac6ef7444358d5205 GIT binary patch literal 393494 zcmeFYWm{aq5-v&-2=49#cXtg0cN^T9!QGu8f#5zk1a}DT?(XjHZo$v&ea`*~_uKuj zo>|kYXZ15()g^De6{f5xg^WOe00jkwEF&$h3I+A$=sy?SXUIrT_m5i02fTx{wlfqI z4%L6IPco{MSCBz;7YQvFHG4A`cVj0Il$xETgR!#_I<0M3e0W|u<+Ao(JUC-6XETn{ zuEn#Vh=+?u!wAQujN;^&v2Z#%<|Hm_Wzbx|ddc(R*QiX(x|n|96P8qSz4YEh(0_ap zzP$Azgs#|`9u0{_|czgxwNUZ4MS1HIHL+)yGkt&v{(pwnVfBtMWRJ6Y_NJ6QdZ$dHv- zc@O=c`3`Rs|CRRMP5|+?`x@GE2YaPic+D!e6bpZr=j^Thi!Y*ZJ-LHL10y;nA`(PN zv__==zUxei{zs)K03^4M8$w=_3l`sCJ3VIZ=d(34j~A;R$`OhRR+ieS8ycvV)j?jF 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+ * K-means finds the N cluster centers and assigns points to the nearest cluster + * center, such that the squared (euclidean) distances from the cluster are + * minimised. + * + * @param points list of points to cluster + * @param groups desired number of clustered groups + * @since 1.3.1 + * @see #cluster(Collection, int, long) + * @return list of groups, where each group is a list of PVectors + */ + public static List> cluster(Collection points, int groups) { + return cluster(points, groups, System.currentTimeMillis()); + } + + /** + * Clusters points into N groups, using k-means clustering. + *

+ * K-means finds the N cluster centers and assigns points to the nearest cluster + * center, such that the squared (euclidean) distances from the cluster are + * minimised. + * + * @param points list of points to cluster + * @param groups desired number of clustered groups + * @param seed random seed + * @since 1.3.1 + * @return list of groups, where each group is a list of PVectors + * @see #cluster(Collection, int) + */ + public static List> cluster(Collection points, int groups, long seed) { + RandomGenerator r = new XoRoShiRo128PlusRandomGenerator(seed); + Clusterer kmeans = new KMeansPlusPlusClusterer<>(groups, 25, new EuclideanDistance(), r); + List pointz = points.stream().map(p -> new CPVector(p)).collect(Collectors.toList()); + + List> clusters = new ArrayList<>(groups); + kmeans.cluster(pointz).forEach(cluster -> { + clusters.add(cluster.getPoints().stream().map(p -> p.p).collect(Collectors.toList())); + }); + + return clusters; + } + /** * Generates a set of random (uniform) points that lie within a bounding * rectangle. @@ -885,4 +936,19 @@ private static void vanDerCorput(float[][] values, int base, int axis, boolean s } } + private static class CPVector implements Clusterable { + final PVector p; + final double[] point; + + CPVector(PVector p) { + this.p = p; + point = new double[] { p.x, p.y }; + } + + @Override + public double[] getPoint() { + return point; + } + } + } From a7a401f843e132c2c1dc49956c62dd1aa8b88ec0 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Tue, 3 Jan 2023 00:17:59 +0000 Subject: [PATCH 09/88] assorted refactor/spelling --- src/main/java/micycle/pgs/PGS_Conversion.java | 7 ++++-- src/main/java/micycle/pgs/PGS_PointSet.java | 3 +-- .../pgs/commons/DiscreteCurveEvolution.java | 25 ++++++++++++------- .../pgs/commons/FarthestPointPair.java | 2 +- .../pgs/commons/MinimumBoundingTriangle.java | 2 +- src/main/java/micycle/pgs/commons/PEdge.java | 9 +++++-- .../pgs/commons/PoissonDistributionJRUS.java | 12 ++++++--- .../micycle/pgs/commons/TangencyPack.java | 6 ++--- .../pgs/commons/TriangleSubdivision.java | 7 +++--- 9 files changed, 47 insertions(+), 26 deletions(-) diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 4624cd72..6ded35e4 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -1062,10 +1062,13 @@ public static PShape fromPVector(Collection vertices) { } /** - * Generates a simple closed polygon (assumes no holes) from the list of - * vertices (varargs). + * Generates a shape from a list of vertices. If the list of vertices is closed + * (first and last vertices are the same), the vertices are interpreted as a + * closed polygon (having no holes); if the list is unclosed, they are treated + * as a linestring. * * @param vertices list of (un)closed shape vertices + * @return a PATH PShape (either open linestring or closed polygon) * @see #fromPVector(List) */ public static PShape fromPVector(PVector... vertices) { diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index 2746e024..cbd7d4e5 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -13,7 +13,6 @@ import org.apache.commons.math3.ml.clustering.KMeansPlusPlusClusterer; import org.apache.commons.math3.ml.distance.EuclideanDistance; import org.apache.commons.math3.random.RandomGenerator; -import org.apache.commons.math3.random.Well19937c; import org.apache.commons.math3.util.FastMath; import org.apache.commons.math3.util.Pair; @@ -259,7 +258,7 @@ public static List gaussian(double centerX, double centerY, double sd, * @see #gaussian(double, double, double, int) non-seeded gaussian() */ public static List gaussian(double centerX, double centerY, double sd, int n, long seed) { - final RandomGenerator random = new Well19937c(seed); + final RandomGenerator random = new XoRoShiRo128PlusRandomGenerator(seed); final List points = new ArrayList<>(n); for (int i = 0; i < n; i++) { final float x = (float) (sd * random.nextGaussian() + centerX); diff --git a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java index 9228886f..4eac592f 100644 --- a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java +++ b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java @@ -20,7 +20,7 @@ * overall shape of the polygonal curve. *

* The shape relevance of every kink can be defined by the turn angle and the - * lengths of the neighboring line segments; tthe larger both the relative + * lengths of the neighboring line segments; the larger both the relative * lengths and the turn angle of a kink, the greater is its contribution to the * shape of a curve. * @@ -60,15 +60,15 @@ public Coordinate[] process(Coordinate[] coords) { int vertexRemoveCount = Math.min(coords.length - vertexPreserveCount, coords.length - (closed ? 4 : 2)); /* - * Create linked coordinates, then link each one to its neighbours once all have - * been instantiated. + * Create unlinked LinkedCoordinates, then link each one to its neighbours once + * all have been instantiated. */ final List linkedCoords = Arrays.asList(coords).stream().map(c -> new LinkedCoordinate(c)) .collect(Collectors.toList()); for (int i = 0; i < linkedCoords.size(); i++) { LinkedCoordinate prev = linkedCoords.get(i == 0 ? linkedCoords.size() - 1 : i - 1); LinkedCoordinate next = linkedCoords.get(i == linkedCoords.size() - 1 ? 0 : i + 1); - linkedCoords.get(i).assignLinks(prev, next); + linkedCoords.get(i).linkTo(prev, next); } if (!closed) { // unlink start and end if coords are unclosed @@ -108,7 +108,8 @@ public Coordinate[] process(Coordinate[] coords) { } /** - * Models a "kink". + * A doubly-linked coordinate; models a "kink" in a linestring where consecutive + * line segments meet. */ private static class LinkedCoordinate implements Comparable { @@ -120,7 +121,7 @@ public LinkedCoordinate(Coordinate c) { this.c = c; } - void assignLinks(LinkedCoordinate prev, LinkedCoordinate next) { + void linkTo(LinkedCoordinate prev, LinkedCoordinate next) { this.prev = prev; this.next = next; computeRelevance(); @@ -128,7 +129,7 @@ void assignLinks(LinkedCoordinate prev, LinkedCoordinate next) { void markAsStart() { this.prev = null; - relevance = Double.MAX_VALUE / 2; + relevance = Double.MAX_VALUE - 1; // -1 because treeset values must be unique } void markAsEnd() { @@ -136,6 +137,12 @@ void markAsEnd() { relevance = Double.MAX_VALUE; } + /** + * Mutually links this LC ('previous' in the chain) with the other LC ('next' in + * the chain'), and updates the relevancy measure of both. + * + * @param newNext this LC's new 'next' LC + */ void relinkToNext(LinkedCoordinate newNext) { this.next = newNext; // link me to other next.prev = this; // link other to me @@ -144,9 +151,9 @@ void relinkToNext(LinkedCoordinate newNext) { newNext.computeRelevance(); } - void computeRelevance() { + private void computeRelevance() { if (prev == null || next == null) { - relevance = prev == null ? Double.MAX_VALUE / 2 : Double.MAX_VALUE; + relevance = prev == null ? Double.MAX_VALUE - 1 : Double.MAX_VALUE; return; } double uv = prev.c.distance(c); diff --git a/src/main/java/micycle/pgs/commons/FarthestPointPair.java b/src/main/java/micycle/pgs/commons/FarthestPointPair.java index c3309a49..a933234a 100644 --- a/src/main/java/micycle/pgs/commons/FarthestPointPair.java +++ b/src/main/java/micycle/pgs/commons/FarthestPointPair.java @@ -22,7 +22,7 @@ * * @author Robert Sedgewick * @author Kevin Wayne - * @author Adapeted by Michael Carleton + * @author Adapted by Michael Carleton */ public class FarthestPointPair { diff --git a/src/main/java/micycle/pgs/commons/MinimumBoundingTriangle.java b/src/main/java/micycle/pgs/commons/MinimumBoundingTriangle.java index b9406d0d..73407197 100644 --- a/src/main/java/micycle/pgs/commons/MinimumBoundingTriangle.java +++ b/src/main/java/micycle/pgs/commons/MinimumBoundingTriangle.java @@ -34,7 +34,7 @@ *

* O'Rourke provides a θ(n) algorithm for finding the minimal enclosing triangle * of a 2D convex polygon with n vertices. However, the overall - * complexity for the convex computation is O(nlog(n)) because a convex hull + * complexity for the concave computation is O(nlog(n)) because a convex hull * must first be computed for the input geometry. * * @author Python * Note: PEdges PEdge(a, b) and PEdge(b, a) are - * consided equal. + * considered equal. * * @author Michael Carleton * @@ -25,7 +25,7 @@ public PEdge(double x1, double y1, double x2, double y2) { } /** - * Rounds (mutates) the vertices of this PEdge. + * Rounds (mutates) the vertex coordinates of this PEdge to their closest ints. * * @return this PEdge */ @@ -41,6 +41,11 @@ public PVector midpoint() { return a.copy().add(b).div(2); } + /** + * Calculates the Euclidean distance of this PEdge. + * + * @return + */ public float length() { return a.dist(b); } diff --git a/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java b/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java index 2cbbc86c..9617a0f4 100644 --- a/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java +++ b/src/main/java/micycle/pgs/commons/PoissonDistributionJRUS.java @@ -99,9 +99,9 @@ public List generate(double xmin, double ymin, double xmax, double ymax /** * Generates a poisson point set having N points. After generating - * an initial set of ~N (hereafter N') points (the actual number - * tends to overshoot the target by a few percent), N'-N points are - * removed from the inital set. + * an initial set of approximately N (hereafter N') points (the + * actual number tends to overshoot the target by a few percent), + * N'-N points are removed from the initial set. * * @param xmin x-coordinate of boundary minimum * @param ymin y-coordinate of boundary minimum @@ -116,6 +116,10 @@ public List generate(double xmin, double ymin, double xmax, double ymax double radius2 = (Math.sqrt(0.5) * ((xmax - xmin) * (ymax - ymin))) / n; double radius = Math.sqrt(radius2); List pointz = generate(xmin, ymin, xmax, ymax, radius, 11); + /* + * TODO rather than shuffle the entire list, perform Fisher–Yates shuffle on the + * last k items (those that will be removed) only. + */ Collections.shuffle(pointz, new XoRoShiRo128PlusRandom(1337)); return pointz.subList(0, Math.min(pointz.size(), n)); // use min() in case undershoot } @@ -207,6 +211,8 @@ private boolean far(double x, double y, double minDistSquared) { } /** + * Inclusive random? + * * @param min - The minimum. * @param max - The maximum. * @return A random double between these numbers (inclusive the minimum and diff --git a/src/main/java/micycle/pgs/commons/TangencyPack.java b/src/main/java/micycle/pgs/commons/TangencyPack.java index f44fe1c8..34ff2caf 100644 --- a/src/main/java/micycle/pgs/commons/TangencyPack.java +++ b/src/main/java/micycle/pgs/commons/TangencyPack.java @@ -434,9 +434,9 @@ private void place(final Vertex centre) { private static double tangentAngle(double a, double b, double c) { /* - * Overall computation time is actually reduced by forgoing trig approximation - * functions (tangentAngleFast()), because the slight inaccuracies mean solution - * converges more slowly and ends up doing more iterations overall. + * Overall computation time is actually reduced by foregoing trig approximation + * functions (such as tangentAngleFast()), because the slight inaccuracies cause + * solution to converge more slowly, performing more iterations overall. */ final double q = b * c; final double o = 1 - 2 * q / (a * a + a * (b + c) + q); diff --git a/src/main/java/micycle/pgs/commons/TriangleSubdivision.java b/src/main/java/micycle/pgs/commons/TriangleSubdivision.java index 7eaa7d3c..928a8cee 100644 --- a/src/main/java/micycle/pgs/commons/TriangleSubdivision.java +++ b/src/main/java/micycle/pgs/commons/TriangleSubdivision.java @@ -1,8 +1,8 @@ package micycle.pgs.commons; import org.apache.commons.math3.random.RandomGenerator; -import org.apache.commons.math3.random.Well19937c; +import it.unimi.dsi.util.XoRoShiRo128PlusRandomGenerator; import micycle.pgs.color.RGB; import processing.core.PApplet; import processing.core.PConstants; @@ -11,13 +11,14 @@ /** * Balanced triangle subdivision. - * https://openprocessing.org/sketch/970715 * * @author Michael Carleton * */ public class TriangleSubdivision { + // implements openprocessing.org/sketch/970715 + private static final double VARIANCE = 0.1; // gaussian variance private final int maxDiv; @@ -33,7 +34,7 @@ public TriangleSubdivision(double width, double height, int maxDepth, long seed) this.width = width; this.height = height; maxDiv = maxDepth; - random = new Well19937c(seed); + random = new XoRoShiRo128PlusRandomGenerator(seed); } public PShape divide() { From 764d475e0e9b974ca17e1f60305ca43001ded666 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 5 Jan 2023 13:40:41 +0000 Subject: [PATCH 10/88] fix fromJava2D; add from/toArray() --- CHANGELOG.md | 2 + src/main/java/micycle/pgs/PGS_Conversion.java | 55 ++++++++++++++++++- .../java/micycle/pgs/PGS_ConversionTests.java | 16 ++++++ 3 files changed, 71 insertions(+), 2 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 0579b6e8..24e18d1b 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -10,6 +10,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Added * `sobolLDS()` to `PGS_PointSet`. Generates a 2D set of deterministic stratified points from the Sobol low discrepancy sequence. * `cluster()` to `PGS_PointSet`. Clusters a collection points into N groups (using k-means). +* `double[][]` conversion methods to `PGS_Conversion`. Converts simple PShapes to and from their `double[p1, p2][x, y]` representation. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). @@ -17,6 +18,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. +* Shape Y coordinates were being inverted during `fromJava2D()` conversion. ### Removed * diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 6ded35e4..62de3a62 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -9,6 +9,8 @@ import static processing.core.PConstants.QUADRATIC_VERTEX; import java.awt.Shape; +import java.awt.geom.AffineTransform; +import java.awt.geom.PathIterator; import java.io.IOException; import java.io.OutputStream; import java.io.PrintStream; @@ -81,7 +83,8 @@ * Geometry conversion. *

* This class features 2 boolean flags that affect conversion that you may wish - * to look at: {@link #PRESERVE_STYLE} and {@link #HANDLE_MULTICONTOUR}. + * to look at: {@link #PRESERVE_STYLE} (default=true) and + * {@link #HANDLE_MULTICONTOUR} (default=false). * * @author Michael Carleton * @@ -1018,9 +1021,11 @@ public static Shape toJava2D(PShape shape) { * @return a PShape representing the Java2D shape * @since 1.3.0 */ + public static PShape fromJava2D(Shape shape) { if (shape != null) { - return toPShape(ShapeReader.read(shape, BEZIER_SAMPLE_DISTANCE, GEOM_FACTORY)); + PathIterator pathIt = shape.getPathIterator(AffineTransform.getScaleInstance(1, 1), BEZIER_SAMPLE_DISTANCE); + return toPShape(ShapeReader.read(pathIt, GEOM_FACTORY)); } else { return new PShape(); } @@ -1075,6 +1080,52 @@ public static PShape fromPVector(PVector... vertices) { return fromPVector(Arrays.asList(vertices)); } + /** + * Converts a simple PShape into an array of its coordinates. + * + * @param shape a simple shape (closed polygon or open line) represented by + * a coordinate array [[x1, y1], [x2, y2]...] + * @param keepClosed flag to determine whether to keep the (last) closing vertex + * in the output if the input formed a closed polygon + * @return coordinate array in the form [[x1, y1], [x2, y2]] + * @since 1.3.1 an array of coordinates representing the PShape + * @see #fromArray(double[][]) + */ + public static double[][] toArray(PShape shape, boolean keepClosed) { + List points = toPVector(shape); // CLOSE + if (shape.isClosed() && keepClosed) { + points.add(points.get(0)); // since toPVector returns unclosed view + } + double[][] out = new double[points.size()][2]; + for (int i = 0; i < points.size(); i++) { + PVector point = points.get(i); + out[i][0] = point.x; + out[i][1] = point.y; + } + return out; + } + + /** + * Creates a PShape from an array of doubles representing coordinates. + * + * @param shape coordinate array representing a simple shape (closed polygon or + * open line) [[x1, y1], [x2, y2]...] + * @param close close the coordinates (if unclosed) + * @return a PShape represented by the coordinates + * @since 1.3.1 + * @see #toArray(PShape) + */ + public static PShape fromArray(double[][] shape, boolean close) { + List points = new ArrayList<>(shape.length); + for (double[] p : shape) { + points.add(new PVector((float) p[0], (float) p[1])); + } + if (close && !points.get(0).equals(points.get(points.size() - 1))) { + points.add(new PVector((float) shape[0][0], (float) shape[0][1])); + } + return fromPVector(points); + } + /** * Flattens a collection of PShapes into a single GROUP PShape which has the * input shapes as its children. diff --git a/src/test/java/micycle/pgs/PGS_ConversionTests.java b/src/test/java/micycle/pgs/PGS_ConversionTests.java index 74135a1e..a1820851 100644 --- a/src/test/java/micycle/pgs/PGS_ConversionTests.java +++ b/src/test/java/micycle/pgs/PGS_ConversionTests.java @@ -520,6 +520,7 @@ void testGeoJSONIO() { assertTrue(PGS_ShapePredicates.equalsNorm(shape, in)); } + @Test void testJava2DIO() { final PShape shape = new PShape(PShape.GEOMETRY); shape.beginShape(); @@ -533,6 +534,21 @@ void testJava2DIO() { assertTrue(PGS_ShapePredicates.equalsNorm(shape, in)); } + + @Test + void testArrayIO() { + final PShape shape = new PShape(PShape.GEOMETRY); + shape.beginShape(); + shape.vertex(1, 1); + shape.vertex(10, 0); + shape.vertex(33, 10); + shape.endShape(PShape.CLOSE); + + double[][] s = PGS_Conversion.toArray(shape, true); + PShape in = PGS_Conversion.fromArray(s, false); + + assertTrue(PGS_ShapePredicates.equalsNorm(shape, in)); + } private static boolean pointsAreEqual(Coordinate c, PVector p) { return (c.x == p.x && c.y == p.y); From 40f377a9abb376ac3ac76de1a3b9f07abedaef2b Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 5 Jan 2023 14:15:17 +0000 Subject: [PATCH 11/88] add median methods --- CHANGELOG.md | 7 +- README.md | 3 + resources/point_set/weightedMedian.png | Bin 0 -> 61049 bytes src/main/java/micycle/pgs/PGS_Conversion.java | 33 ++-- src/main/java/micycle/pgs/PGS_PointSet.java | 26 +++ .../java/micycle/pgs/PGS_ShapePredicates.java | 23 ++- .../micycle/pgs/commons/GeometricMedian.java | 171 ++++++++++++++++++ 7 files changed, 248 insertions(+), 15 deletions(-) create mode 100644 resources/point_set/weightedMedian.png create mode 100644 src/main/java/micycle/pgs/commons/GeometricMedian.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 24e18d1b..8086c3a6 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -5,16 +5,19 @@ All notable changes to PGS will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). Dates are *YYYY-MM-DD*. -## **1.3.1** *(2022-xx-xx)* +## **1.3.1** *(2023-xx-xx)* ### Added -* `sobolLDS()` to `PGS_PointSet`. Generates a 2D set of deterministic stratified points from the Sobol low discrepancy sequence. +* `sobolLDS()` to `PGS_PointSet`. Generates a set of 2D deterministic stratified points from the Sobol low discrepancy sequence. * `cluster()` to `PGS_PointSet`. Clusters a collection points into N groups (using k-means). * `double[][]` conversion methods to `PGS_Conversion`. Converts simple PShapes to and from their `double[p1, p2][x, y]` representation. +* `weightedMedian()` to `PGS_PointSet`. Finds the geometric median point of a set of weighted sample points. +* `median()` to `PGS_ShapePredicates`. Computes the geometric median location of a shape's vertices. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). * Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particularly on large inputs. +* `toPVector()` now works on GROUP shapes (returning vertices from all child shapes). ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/README.md b/README.md index bac01567..df0aa0e5 100644 --- a/README.md +++ b/README.md @@ -192,6 +192,7 @@ Much of the functionality (but by no means all) is demonstrated below: * Distance * Area * Centroid +* Median ## *Contour* @@ -746,10 +747,12 @@ Much of the functionality (but by no means all) is demonstrated below: EMST Cluster + Weighted Median + diff --git a/resources/point_set/weightedMedian.png b/resources/point_set/weightedMedian.png new file mode 100644 index 0000000000000000000000000000000000000000..c0891bad7ee8a96c0575776c68444104bc9e310f GIT binary patch literal 61049 zcmdSBg;!Ny)HQq&1TjEC5hRroNs&$w6_ApWE@|oRP*FrmS{ezFR=Pn@y1VPr9n$r! z!|!?DXMF#`_c?|G#^v5~_St*wwdb01uIu|!M(o<> 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zRUA1r(kbC0YWzr6K2Ma+`j&fcDzVPfCi}RVIXGC@*i>ZyKUBjHd;oxrb^~$$r&(zP&oBPIl z9dMIlTYI}?wr}vz{w>S3owzoB(&o&1ei83&V3%^_PZr|>8D__n#c5LhB^z(a`@XxdQ zdh*@f`ny|Se|`6E9}{q2+yT}@bN}!7eD3z^S7B@8YKwtJv2yRL|Je5V`T6=E5AApD z{>>+EckyPW$>f)s|0V#Fi06*UcY7qCUXT607r4>y)2Elf?2?@PUq(twPQs#g>2oFq zjX=;*pG+FNFM%qC|MNk+K^a points) { } /** - * Returns the vertices of a PShape as an unclosed list of PVector - * coordinates. + * Extracts the vertices of a PShape into list of PVectors. + *

+ * If the input shape forms a closed polygon, this method returns an + * unclosed view of the shape (without the last closing vertex, which is + * identical to the first). + *

+ * If the input shape has a GROUP type, vertices from all children shapes are + * flattened and returned. * - * @param shape a non-GROUP PShape - * @return + * @param shape a PShape of any type + * @return all vertices of the input */ public static List toPVector(PShape shape) { - if (shape.getFamily() == PShape.PRIMITIVE) { - // getVertex() doesn't work on PShape primitives - shape = toPShape(fromPrimitive(shape)); - } - final ArrayList vertices = new ArrayList<>(); - for (int i = 0; i < shape.getVertexCount(); i++) { - vertices.add(shape.getVertex(i)); - } + // use getChildren() incase shape is GROUP + final List vertices = new ArrayList<>(); + getChildren(shape).forEach(s -> { + if (s.getFamily() == PShape.PRIMITIVE) { + // getVertex() doesn't work on PShape primitives + s = toPShape(fromPrimitive(s)); + } + for (int i = 0; i < s.getVertexCount(); i++) { + vertices.add(s.getVertex(i)); + } + }); if (!vertices.isEmpty() && vertices.get(0).equals(vertices.get(vertices.size() - 1))) { vertices.remove(vertices.size() - 1); } diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index cbd7d4e5..c65a4b9f 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -8,6 +8,9 @@ import java.util.stream.Collectors; import java.util.stream.IntStream; +import javax.vecmath.Point3d; +import javax.vecmath.Point4d; + import org.apache.commons.math3.ml.clustering.Clusterable; import org.apache.commons.math3.ml.clustering.Clusterer; import org.apache.commons.math3.ml.clustering.KMeansPlusPlusClusterer; @@ -24,6 +27,7 @@ import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import it.unimi.dsi.util.XoRoShiRo128PlusRandomGenerator; +import micycle.pgs.commons.GeometricMedian; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.PoissonDistributionJRUS; import processing.core.PShape; @@ -181,6 +185,28 @@ public static List> cluster(Collection points, int groups return clusters; } + /** + * Finds the geometric median point of a set of weighted sample points. + *

+ * The median point is the point that minimises the sum of (weighted) distances + * to the sample points. + *

+ * Points are expressed as PVectors; the z coordinate is used as the weight for + * each point. Weights must be positive. If every point has a weight of 0 (z=0), + * the function returns the median as if each point had an equal non-zero + * weight (set to 1). + * + * @param points list of points, where the z coordinate is point weight + * @since 1.3.1 + * @return 2D median point + */ + public static PVector weightedMedian(Collection points) { + boolean allZero = points.stream().allMatch(p -> p.z == 0); + Point4d[] wp = points.stream().map(p -> new Point4d(p.x, p.y, 0, allZero ? 1 : p.z)).toArray(Point4d[]::new); + Point3d median = GeometricMedian.median(wp, 1e-3, 50); + return new PVector((float) median.x, (float) median.y); + } + /** * Generates a set of random (uniform) points that lie within a bounding * rectangle. diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index 7a9952d4..4d79e95d 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -7,6 +7,9 @@ import java.util.Collections; import java.util.List; +import javax.vecmath.Point3d; +import javax.vecmath.Point4d; + import org.locationtech.jts.algorithm.Angle; import org.locationtech.jts.algorithm.MinimumBoundingCircle; import org.locationtech.jts.algorithm.MinimumDiameter; @@ -20,6 +23,7 @@ import org.locationtech.jts.geom.Point; import org.locationtech.jts.geom.Polygon; +import micycle.pgs.commons.GeometricMedian; import micycle.trapmap.TrapMap; import processing.core.PConstants; import processing.core.PShape; @@ -239,6 +243,23 @@ public static PVector centroid(PShape shape) { } return null; } + + /** + * Computes the geometric median location of a shape's vertices. + *

+ * The median point is the point that minimises the sum of distances to the + * shape vertices. + * + * @param shape + * @return median point + * @since 1.3.1 + */ + public static PVector median(PShape shape) { + List points = PGS_Conversion.toPVector(shape); + Point4d[] wp = points.stream().map(p -> new Point4d(p.x, p.y, 0, 1)).toArray(Point4d[]::new); + Point3d median = GeometricMedian.median(wp, 1e-3, 50); + return new PVector((float) median.x, (float) median.y); + } /** * Computes the horizontal width of a shape (the width of its bounding-box). @@ -347,7 +368,7 @@ public static double sphericity(final PShape shape) { } /** - * Measures the elongation of a shape; the ratio of the shapes bounding box's + * Measures the elongation of a shape; the ratio of a shape's bounding box * length to its width. * * @param shape diff --git a/src/main/java/micycle/pgs/commons/GeometricMedian.java b/src/main/java/micycle/pgs/commons/GeometricMedian.java new file mode 100644 index 00000000..ccc6740f --- /dev/null +++ b/src/main/java/micycle/pgs/commons/GeometricMedian.java @@ -0,0 +1,171 @@ +package micycle.pgs.commons; + +import javax.vecmath.Point3d; +import javax.vecmath.Point4d; + +/** + * Computes 2D/3D weighted geometric median. + * + * @author Michael Carleton + * + */ +public final class GeometricMedian { + + // java port of + // https://github.com/postgis/postgis/blob/master/liblwgeom/lwgeom_median.c + + private static double DBL_EPSILON = 1E-11; + + /** + * Computes the median point of the input point set. + * + * @param points array of x,y,z,w where w is the weight; weights must be + * non-negative + * @param tol tolerance + * @param max_iter max iterations + * @return median point of input + */ + public static Point3d median(Point4d[] points, double tol, int max_iter) { + /* + * We need to count this ourselves so we can exclude empties and weightless + * points. + */ + int npoints = points.length; + + Point3d median = init_guess(points, npoints); + + iterate_4d(median, points, npoints, max_iter, tol); + + return median; + } + + private static Point3d init_guess(Point4d[] points, int npoints) { + Point3d guess = new Point3d(); + double mass = 0; + int i; + for (i = 0; i < npoints; i++) { + guess.x += points[i].x * points[i].w; + guess.y += points[i].y * points[i].w; + guess.z += points[i].z * points[i].w; + mass += points[i].w; + } + guess.x /= mass; + guess.y /= mass; + guess.z /= mass; + return guess; + } + + private static int iterate_4d(Point3d curr, final Point4d[] points, final int npoints, final int max_iter, final double tol) { + int i, iter; + double delta; + double sum_curr = 0, sum_next = 0; + boolean hit = false; + double[] distances = new double[npoints]; + + sum_curr = calc_weighted_distances_3d(curr, points, npoints, distances); + + for (iter = 0; iter < max_iter; iter++) { + Point3d next = new Point3d(); + double denom = 0; + + /* Calculate denom to get the next point */ + for (i = 0; i < npoints; i++) { + /* + * we need to use lower epsilon than in FP_IS_ZERO in the loop for calculation + * to converge + */ + if (distances[i] > DBL_EPSILON) { + next.x += points[i].x / distances[i]; + next.y += points[i].y / distances[i]; + next.z += points[i].z / distances[i]; + denom += 1.0 / distances[i]; + } else { + hit = true; + } + } + + if (denom < DBL_EPSILON) { + /* No movement - Final point */ + break; + } + + /* Calculate the new point */ + next.x /= denom; + next.y /= denom; + next.z /= denom; + + /* + * If any of the intermediate points in the calculation is found in the set of + * input points, the standard Weiszfeld method gets stuck with a divide-by-zero. + * + * To get ourselves out of the hole, we follow an alternate procedure to get the + * next iteration, as described in: + * + * Vardi, Y. and Zhang, C. (2011) "A modified Weiszfeld algorithm for the + * Fermat-Weber location problem." Math. Program., Ser. A 90: 559-566. DOI + * 10.1007/s101070100222 + * + * Available online at the time of this writing at + * http://www.stat.rutgers.edu/home/cunhui/papers/43.pdf + */ + if (hit) { + double dx = 0, dy = 0, dz = 0; + double d_sqr; + hit = false; + + for (i = 0; i < npoints; i++) { + if (distances[i] > DBL_EPSILON) { + dx += (points[i].x - curr.x) / distances[i]; + dy += (points[i].y - curr.y) / distances[i]; + dz += (points[i].z - curr.z) / distances[i]; + } + } + + d_sqr = Math.sqrt(dx * dx + dy * dy + dz * dz); + if (d_sqr > DBL_EPSILON) { + double r_inv = Math.max(0, 1.0 / d_sqr); // note + next.x = (1.0 - r_inv) * next.x + r_inv * curr.x; + next.y = (1.0 - r_inv) * next.y + r_inv * curr.y; + next.z = (1.0 - r_inv) * next.z + r_inv * curr.z; + } + } + + /* Check movement with next point */ + sum_next = calc_weighted_distances_3d(next, points, npoints, distances); + delta = sum_curr - sum_next; + if (delta < tol) { + break; + } else { + curr.x = next.x; + curr.y = next.y; + curr.z = next.z; + sum_curr = sum_next; + } + } + + return iter; + } + + private static double calc_weighted_distances_3d(final Point3d curr, final Point4d[] points, int npoints, + double[] distances) { + int i; + double weight = 0.0; + for (i = 0; i < npoints; i++) { + double dist = distance3d_pt_pt(curr, points[i]); + distances[i] = dist / points[i].w; + weight += dist * points[i].w; + } + + return weight; + } + + private static double distance3d_pt_pt(Point3d p0, Point4d p1) { + double dx, dy, dz; + + dx = p0.x - p1.x; + dy = p0.y - p1.y; + dz = p0.z - p1.z; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + +} From c4f91ce7d31b624e2494e32ad0d44aec63f201c1 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 6 Jan 2023 11:12:53 +0000 Subject: [PATCH 12/88] add rsfc --- CHANGELOG.md | 1 + README.md | 2 + resources/pgs/rsfc.gif | Bin 0 -> 34085 bytes .../java/micycle/pgs/PGS_Construction.java | 44 ++++ .../pgs/commons/RandomSpaceFillingCurve.java | 231 ++++++++++++++++++ 5 files changed, 278 insertions(+) create mode 100644 resources/pgs/rsfc.gif create mode 100644 src/main/java/micycle/pgs/commons/RandomSpaceFillingCurve.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 8086c3a6..784ea5da 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -13,6 +13,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `double[][]` conversion methods to `PGS_Conversion`. Converts simple PShapes to and from their `double[p1, p2][x, y]` representation. * `weightedMedian()` to `PGS_PointSet`. Finds the geometric median point of a set of weighted sample points. * `median()` to `PGS_ShapePredicates`. Computes the geometric median location of a shape's vertices. +* `createRandomSFCurve()` to `PGS_Construction`. Creates a random space-filling curve. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index df0aa0e5..0f831a95 100644 --- a/README.md +++ b/README.md @@ -683,9 +683,11 @@ Much of the functionality (but by no means all) is demonstrated below: Koch Snowflake Blobbie + RSFC + diff --git a/resources/pgs/rsfc.gif b/resources/pgs/rsfc.gif new file mode 100644 index 0000000000000000000000000000000000000000..073025f867c319ee5a9e2dfd952c94c0ed46dc76 GIT binary patch literal 34085 zcmbr_WlS9b+wggcI}|DI?kz3u?o!;{wJq)xcejHa+}#iEdT@7lcjvIZpZm#XH+etp zPBNKfGMSGv$#wnyQZkawpi zD=X{m?VX;UK0Q7C`1p8#fB*M1#RrO_gqo_Dh_VDb>sOdh|GD)H3(NlR%KYzy`p;{j z5Ft>X5Q(L0a(V(0u^IJ-YjXQSF{xxTrEBvBBJsc5tPR)Z556^ta(tCs1F z)D?nLznYF_%G4Jrgu*zStc}zcPi6}XeL<9MD4EWePD~*#Ybc#9R?devXKXB+FW0KK z87plpU#vFjiy)C}s#vbKnk~}@H&w1S|B6*Ws>rbmLz-JR3+c)8UFi6m3% zY=6Eznk52}t_r_AUhRUjmAX3LU!QJ^HRDJMpkQCZ-JrbC-wUVw(5Oqc0#G@RwgNFF z>9>P$RF1km;|P?uLx^3EwnNE7=y$@XQ?$0B-+icsp=o);p#Gu}q+tfIELiP^;`JWI 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z!GCuU?{=&;!F`kq`i%fX*kxS;%pat#Bjj#Be(G`lqNh=5*9K-uLa+?L(^pR4QOO9yH}`T9BZ*R6lnyLyNkphj+`6M(ptw`8o^f^$L|MH z!&xxI*%PAQBk0*P6*ZwzG&wciU!~g>RNJ|fGkRq-x$E4IA2m58D@<>R<*L=h1jj1Y z)+)tDDsSy`Orw$Xu=ZWl3fJ!ICYv_po8p4^5FhtR#9M#+eb>OO)i;YW=-H6fT``(A zB}LwVP&8XMIs`f%LN^_V0Znxl4rKRC|4xnDv_{#QFZvEm<#%m7RO2B4;p z#c}(IpW%sXV z&bsW*x=T+0wTnIUslBmFeVFGFB=1s>7nZ4mNpUW)9C6Yki_?Y!OX<2It?R^R1ryXI~m#SYf!mTnHB?)FFXja)Y7effD}H zBlk!|6sWafa)kQnD5vr$pFRf&M1fjzCSOl18Yn2Qa)6rh@FnvyH}f+`^E4k`olx_f zP;)i!&c17NoOts(M|0Bx?NBNW|nt%WRA^sIjVPs_>cWHEJAX8& + * A space-filling curve is a continuous curve that (in this case) traverses + * every cell of a grid exactly once. + * + * @param nColumns number of columns in the underlying grid + * @param nRows number of rows in the underlying grid + * @param cellWidth visual/pixel width of each cell + * @param cellHeight visual/pixel width of each cell + * @return a stroked PATH PShape + * @see #createRandomSFCurve(int, int, double, double, long) + * @since 1.3.1 + */ + public static PShape createRandomSFCurve(int nColumns, int nRows, double cellWidth, double cellHeight) { + return createRandomSFCurve(nColumns, nRows, cellWidth, cellHeight, System.currentTimeMillis()); + } + + /** + * Creates a random space-filling curve, having a specific random seed. + *

+ * A space-filling curve is a continuous curve that (in this case) traverses + * every cell of a grid exactly once. + * + * @param nColumns number of columns in the underlying grid + * @param nRows number of rows in the underlying grid + * @param cellWidth visual/pixel width of each cell + * @param cellHeight visual/pixel width of each cell + * @param seed random seed + * @return a stroked PATH PShape + * @see #createRandomSFCurve(int, int, double, double) + * @since 1.3.1 + */ + public static PShape createRandomSFCurve(int nColumns, int nRows, double cellWidth, double cellHeight, long seed) { + RandomSpaceFillingCurve factory = new RandomSpaceFillingCurve(nColumns, nRows, seed); + PShape curve = factory.getCurve((float) cellWidth, (float) cellHeight); + curve.setFill(255); + curve.setStroke(0); + curve.setStrokeWeight(3); + + return curve; + } + /** * Creates a closed Sierpiński curve (a recursive space-filling curve), having a * user-defined degree/order. diff --git a/src/main/java/micycle/pgs/commons/RandomSpaceFillingCurve.java b/src/main/java/micycle/pgs/commons/RandomSpaceFillingCurve.java new file mode 100644 index 00000000..35321d47 --- /dev/null +++ b/src/main/java/micycle/pgs/commons/RandomSpaceFillingCurve.java @@ -0,0 +1,231 @@ +package micycle.pgs.commons; + +import java.util.ArrayDeque; +import java.util.ArrayList; +import java.util.Collections; +import java.util.List; +import java.util.Random; +import java.util.stream.Collectors; +import java.util.stream.Stream; + +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; +import processing.core.PConstants; +import processing.core.PShape; + +/** + * Generates random space-filling curves. + *

+ * A space-filling curve is a continuous curve that traverses every point of an + * plane exactly once. + *

+ * This class implements the technique described in "Context-based space filling + * curves" by Dafner et al, and is based on this + * javascript implementation by Claudio Esperança. + * + * @author Michael Carleton + * + */ +public class RandomSpaceFillingCurve { + + private final Random random; + + private final int ncols, nrows; + private boolean[] grid; + private List edges; + private ArrayDeque cellVisitQueue; + private Connect[] connect; + private List path; + + private final int nrows2, ncols2; + private List edges2; + + /** + * Instantiates a random space-filling curve. The curve is created upon + * initialisation. + * + * @param ncols number of cells in the x direction (columns) + * @param nrows number of cells in the y direction (rows) + */ + public RandomSpaceFillingCurve(int ncols, int nrows) { + this(ncols, nrows, System.currentTimeMillis()); + } + + /** + * Instantiates a random space-filling curve, having a given random seed. The + * curve is created upon initialisation. + * + * @param ncols number of cells in the x direction (columns) + * @param nrows number of cells in the y direction (rows) + * @param seed + */ + public RandomSpaceFillingCurve(int ncols, int nrows, long seed) { + random = new XoRoShiRo128PlusRandom(seed); + this.ncols = ncols; + this.nrows = nrows; + nrows2 = 2 * nrows; + ncols2 = 2 * ncols; + + gridSpanningTree(); + hamiltonianFromSpanningTree(); + } + + public PShape getCurve(float cellWidth, float cellHeight) { + cellWidth /= 2; + cellHeight /= 2; + PShape curve = new PShape(PShape.PATH); + curve.setStrokeWeight(3); + curve.setFill(true); + curve.setStroke(true); + curve.setFill(-1231234); + curve.setStrokeJoin(PConstants.MITER); + + curve.beginShape(); + for (Integer i : path) { + curve.vertex(((i % ncols2) + 0.5f) * cellWidth + 0.5f, ((i / ncols2) + 0.5f) * cellHeight + 0.5f); + } + curve.endShape(PConstants.CLOSE); + + return curve; + } + + public PShape getSkeleton(float cellWidth, float cellHeight) { + PShape skeleton = new PShape(PShape.GEOMETRY); + skeleton.setStrokeWeight(2); + skeleton.setStroke(true); + skeleton.setStrokeJoin(PConstants.MITER); + skeleton.setStrokeCap(PConstants.SQUARE); + + skeleton.beginShape(PConstants.LINES); + for (Edge e : edges) { + skeleton.vertex(((e.k % ncols) + 0.5f) * cellWidth + 0.5f, ((e.k / ncols) + 0.5f) * cellHeight + 0.5f); + skeleton.vertex(((e.n % ncols) + 0.5f) * cellWidth + 0.5f, ((e.n / ncols) + 0.5f) * cellHeight + 0.5f); + } + skeleton.endShape(); + + return skeleton; + } + + private void gridSpanningTree() { + grid = new boolean[ncols * nrows]; + edges = new ArrayList<>(); + + cellVisitQueue = new ArrayDeque<>(); + cellVisitQueue.add(new int[] { random.nextInt(ncols * nrows), -1 }); + while (!cellVisitQueue.isEmpty()) { + visit(cellVisitQueue.pollLast()); + } + edges.remove(0); + + connect = Stream.iterate(0, x -> x + 1).limit(ncols * nrows).map(i -> new Connect()).toArray(Connect[]::new); + + for (Edge e : edges) { + int i = e.k; + int j = e.n; + if (i > j) { // swap + int tmp = i; + i = j; + j = tmp; + } + if (i / ncols == j / ncols) { + connect[i].right = connect[j].left = true; + } else { + connect[i].down = connect[j].up = true; + } + } + } + + private void visit(int[] in) { + int k = in[0]; + int parentN = in[1]; + if (grid[k]) { + return; + } + + edges.add(new Edge(k, parentN)); + grid[k] = true; + final int i = k % ncols; + final int j = k / ncols; + + List neighbors = new ArrayList<>(4); + if (i > 0) { + neighbors.add(k - 1); + } + if (j > 0) { + neighbors.add(k - ncols); + } + if (i + 1 < ncols) { + neighbors.add(k + 1); + } + if (j + 1 < nrows) { + neighbors.add(k + ncols); + } + + Collections.shuffle(neighbors, random); + for (Integer n : neighbors) { + if (!grid[n]) { + cellVisitQueue.add(new int[] { n, k }); + } + } + } + + private void hamiltonianFromSpanningTree() { + edges2 = new ArrayList<>(); + int i = 0; + for (Connect cell : connect) { + if (cell.right) { + edges2.add(new Edge(index2(i, 1, 0), index2(i, 2, 0))); + edges2.add(new Edge(index2(i, 1, 1), index2(i, 2, 1))); + } else { + edges2.add(new Edge(index2(i, 1, 0), index2(i, 1, 1))); + } + if (!cell.left) { + edges2.add(new Edge(index2(i, 0, 0), index2(i, 0, 1))); + } + if (cell.down) { + edges2.add(new Edge(index2(i, 0, 1), index2(i, 0, 2))); + edges2.add(new Edge(index2(i, 1, 1), index2(i, 1, 2))); + } else { + edges2.add(new Edge(index2(i, 0, 1), index2(i, 1, 1))); + } + if (!cell.up) { + edges2.add(new Edge(index2(i, 0, 0), index2(i, 1, 0))); + } + i++; + } + + List> link = Stream.iterate(0, x -> x + 1).limit(ncols2 * nrows2).map(q -> new ArrayList()) + .collect(Collectors.toList()); + for (Edge e : edges2) { + link.get(e.k).add(e.n); + link.get(e.n).add(e.k); + } + + int j = 0; + path = new ArrayList<>(); + boolean[] visited = new boolean[edges2.size()]; + for (int k = edges2.size(); k > 0; k--) { + path.add(j); + visited[j] = true; + j = visited[link.get(j).get(0)] ? link.get(j).get(1) : link.get(j).get(0); + } + } + + private int index2(int i, int dcol, int drow) { + return ((i / ncols) * 2 + drow) * ncols2 + (i % ncols) * 2 + dcol; + } + + private class Edge { + int k, n; + + Edge(int k, int n) { + this.k = k; + this.n = n; + } + } + + private class Connect { + boolean left, right, up, down; + } + +} From db75c984f1cd42adbaf27a5d924a4497f4b1a8ae Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 7 Jan 2023 12:12:56 +0000 Subject: [PATCH 13/88] assorted refactor --- examples/leafColoring/leafColoring.pde | 13 +++++-------- src/main/java/micycle/pgs/PGS_Conversion.java | 2 +- src/main/java/micycle/pgs/PGS_Optimisation.java | 2 +- src/main/java/micycle/pgs/PGS_Processing.java | 7 ++++++- .../java/micycle/pgs/commons/GeometricMedian.java | 4 +++- .../pgs/commons/MaximumInscribedRectangle.java | 3 ++- 6 files changed, 18 insertions(+), 13 deletions(-) diff --git a/examples/leafColoring/leafColoring.pde b/examples/leafColoring/leafColoring.pde index 6f3442af..dac52f2a 100644 --- a/examples/leafColoring/leafColoring.pde +++ b/examples/leafColoring/leafColoring.pde @@ -4,26 +4,23 @@ import micycle.pgs.PGS_Coloring.ColoringAlgorithm; import java.util.List; import org.tinfour.common.IIncrementalTin; -String leafSVG = ""; +String leafPolyline = "ai`tvCagmtmAojbVgpiw@oijDucv[b__AoflYp`xn@{xq|B|hbNsheT|pcTqyfP~es}@mxp\\|rcHm_tK|lbGchfp@sriAuys[u`oFutiYqdgKqypUe_rOieiPmn}Po{{IykyQywuCykrThd|@ulhYf_~GcchiAd~yg@q}yhA~hgq@iuovBf}oiBi~iSzniC{oqi@aosVs`cS{|nCklwUzhrC_qu|Bhn}{@ogshAl`ai@}yhfB`sza@}hsY_yRao}YalcKyezHygiPv_lCsv}WjjlOkyk\\vqgbAgocoA|fmc@ymcy@f~qVw~vs@~scFuatc@d_tGejtLjqgrBkusmA|dqaAslne@p{eJyrbQc_hAiazS}i|]yn{k@}saCe}fRjwbFm_~Qbclc@i~sg@zxmDcdaRozcFyg{Sgdpg@_qxt@`cbAa`sWdc{Kgq|TdrcS_viR~amXit_K||daCkz{\\hjmXoazI`tcH{fbOnfnPe|~u@jvdNihzLtewzAso~PxiccA_yhXddrWqkeOxc|Ou`tP~aeGc}lQg_q@capQ_lfRsisWukzsAiabg@||uMm}ei@xw_Me|eKn_jkDkpti@diauAqvxMvygX_h~a@~rkhAkczh@zk{dAwopSp_lo@{{hYtpdeBgounAxaccAoxrj@pudp@oogRj~pkC{xf[dkef@e~gSro~}@aben@`x|Li~iPfcIekxP_x}Mqrwe@unr|Aoa|jDk|hpBq`o~Dcrgq@gygbB{vmcAavggDstkn@adkaCyld\\_hfbBc~fNsbolAz|_G{}jQ`hga@kcuM??rfzg@wigGbvpKp`s{@x_xc@fprjBtpdeBp{lvFpw~cAbj_`Cjlz_BjrbiEtsbr@zj}}An{adAzdfqB|zbj@auoM~_tRkmuMbv`tBopbtBvw`j@mwad@fgleDoyytBhxh]wsh]tsnv@kcwwAj`dXmc~[nqygAtfIhnpUgtaF`orPwa}NdsuLuovX~mbScoux@fk~NityVphpz@mrnq@`ojx@ct~g@`d_|@m}sb@tfdWfxuKz{zDjdqSuuvInonTcrfAlw}_@d`mFdkdZvojQldnQ`wmTjswC|v_Y_daHto`_@}c`Vnzek@qeuj@ngu\\seld@hnfRsdcO`uqr@mpdXnvdgAkmfVbzk~@mw~gAz_mx@mbho@njrr@aezVnolR_sKxz|KbwpGtkePxgo|@fwnIzv}J|xoQpqcAtuzfAmw|Vt{gZoi{AjybUjikKbnvM|_eg@ndoGfh`GpsxMssH~cxU{}`Hn~miCgtusAf}pg@ye_SnxgxGq_}l@h}mr@zgyA~}jMl~xFzhkF~pdKuesAnxw[kzjIlzxJyh`uBhsfjAgvr`@tfi^gj~r@jng|@uk~~Avvwv@ezhNfxsPu`_IhlsTc}zLpabgA_tkrA|bmm@ogkxAnwsnAksrq@`mzY{|dUj|}Q}gcQvpqWwk~Kpji[mivExge]p}Rlje]xnoGtbyYz}aX~ekS~||Vhw_Kh~tx@bfnM~uao@}snArf`Sc{_Krglf@yqzc@l_bRqo{JrrgkAjkwCfmqrB`uqVtrlQ`hdG|w}h@tddq@vtaOldsJ~rcT`irDhgjl@luq@zk}pA_}}Jfen\\n_bBn|sv@r__Qdmxx@vahD`e}lB|myXlkbPbpfGtuw@bgzX{xtLj_vh@qixd@vkieAetjAdygVrw{Bfi|WhaiVrxnZvxwwC`xuaBn}b^nd}^~urUbyrn@xzuO``iTdazUld|Ptf|z@|voa@danVxhna@b`vRvlaSz~uu@dojf@t{o[tcsMjpdz@dkpSb_aVjgbQtrn@fqrN_yro@`inj@gtdGdhdT|oxAh|dUlruLbx_VxppWzwtVbr`oAvx{q@f_wLzfceApdqHrhnTvnwMtjjOb||m@vvq`@~jtNxqgy@lirJp}gUhziNnc`Nzqll@fxmQr}`vC|~xwAp_bqBlcuw@lcdNtzvS{psG||vSkpbUju~Ggd_fAz}kIk`{k@}wwFwgeq@vrkAohln@fg}Oy~leAj}wg@{xiPh_mAeo~lAgcgDizs}@zp|To__}@mqaDud|nBtgsF_vbtAh{\\o_gR`xiFet}hAv_jj@ycrLogcAyrjjAev}a@oqpeDg~l|@wvy`@gybFile]ka[szzS~kaEac~Jh{mQwpoF~wz]mhz@hoxa@hkjM`ob_Am~s@h`sT}p`LdzsMkipR|gfCosux@mjcFo}u]grqOayqu@e~mNg|bRrzdAej~c@vikSygdQrz}BsdmUoru@}mq_B_ss[y`zUadn@}lml@j}dGc`qhBaxdJk}aWdqjAykqTlaeHkhgQbykQavjDzxrQfagBlbrShhsKnz_WjxepDp{bgE~kre@rca]fpqGzt|MnmlF`||o@bs_Y~hsk@rrrp@dfii@rbkx@~hta@xb{x@xz}k@vrjShbbZwq{Lte_r@tvdIniwYdt~JdfcIljmn@rvcTlt~aAre}OxgzM`ynJzgd~Bz_toCtiim@ft_j@l|uUbvp[xrqKzxoXfet@x|{Saj`I`buMiwjTn|eCkks[knqDupsf@ypeScptp@_o}Jgnia@}wgB}lpVfzoCurzo@ngf[kiqXxagHg}hoB`nbXsbr|@v~xBy{fUlqlEytwLbl}P{nhCzu{Vl`uvAxypzEzhs\\fo{|@nkdGl|ja@sniAxoqRafqIhhdTy}~A~yq_@`hpRxjp~@fymNxdngAbzsPr{nb@tugFx~sn@qh{Eponq@hmkCthuVz}dtAtsrjEjrqHdmfdBpizJ|lbw@zroDrwlw@wqtDjvoa@c`eK~mvEgpkSyqpJc__t@exlq@wu_f@kzi[ekj~@as~]gnzkAglrn@icf_BgmejAukut@_y~s@umqPsihJyot_@u|mIomqPychIwszj@gb~d@uygrAwnvzA{ncRqecNyvhSoppDawyaAdhj@o_ux@mbk{AgvneAu`ib@qcsRkfmOkqpJqthUq{qLq|p{@urjL_ogQ_ysSertGco_\\f_Assqe@`~hNqsmc@loua@kxl_@nvur@spod@vdbwAsblo@lawQucoPlphL{ijH~{{R}jbLb|h|BwtbNrcay@aocUjzwFwueS_j{DuffO}hjP{beIc`sYswnBwbwzAy_lMck_s@crh\\mwjq@q_tz@y~neAgamAeqjT`rmLiuyjAsm\\_wxVkimG}jhQw`xUozxNoeiu@}naK{ppEc|_Jut}a@msplDkjtPurah@iafKe~oIoz_m@sd~Qq_dS{faLi~|Kw}dQ_gnGswdZ{_uYocfhDihdPy|pw@es}e@wuuw@i`fQcvqMwkfWy~fGqxyXks_BugdUbwsC{hsQdflK}|fN~ugS}jnTvprr@{mxf@nth_Ak}fHnbjZypjIh_vbAe}`Ptcbn@ch~]hzio@ovzQtd_k@i}uPzrxtAwkmH|{iUalqJjhlJs__NnlqAsypg@m`aM{giw@eugf@ejpZskrFcz~TtupJgasKdpcMal{Bp}pQftrC~|kq@{qjD~tfnAccuZ|wvxCehjKpghQwe`m@fvok@ibjOlzrUqhgc@|`alAi`mg@bundAc~oKvlpd@ke~c@pect@_qq[~qekAuzzIpmcPwhcvAv~zlA_wcWpwpf@_aja@|ko}AqkhSjmxTc|yWvxyKu~{Yfe~@kelUe_cEeoyImhlQe{mZiywpCrqwDg_vgA_jsCwx~g@f|_@_va|AcmsHajhR}hsj@up}k@m_mI_uzT}f_H_f}v@mtjJscyQ{hyd@oiuTqonKki_Nc}wf@eru~Aa{mPky}RcqhWulqIyc_~@geyDelsR}xtFklaK_v~MsedE}ajWsciBetz~@sq|F_lze@eyjh@qlglAil_Bap~Ul}yEs~weAeb~Eec_Sgp`i@mqvYslyK_vbLu|jFqjpPwprAmi|W|ocHqpmzB}c~AgpdY}hsHux~RobsP{xmRyifTabiLscaVigkEguqoBfbdFof~f@miyFakdMul|PwewBylzUt`o\\k|y_Bndob@wqqqCz{nS{euv@|mnh@om|yAbzxAaimSwobCgtoR"; PShape leaf; PShape meshShape; void setup() { - size(800, 800, FX2D); + size(1000, 1000, FX2D); smooth(); - leaf = new PShapeSVG(parseXML(leafSVG)); - leaf = PGS_Transformation.scale(leaf, 1.4 * 1.6f); - leaf = PGS_Transformation.rotateAroundCenter(leaf, -0.6f); + leaf = PGS_Conversion.fromEncodedPolyline(leafPolyline); leaf = PGS_Transformation.translateCentroidTo(leaf, width / 2f, height / 2f); - leaf = PGS_Morphology.simplify(leaf, 1); meshShape = meshColorShape(leaf); } void draw() { background(0, 0, 40); - shape(PGS_Morphology.fieldWarp(meshShape, 15, 0.5,frameCount/300f, false, 1337)); + shape(PGS_Morphology.fieldWarp(meshShape, 15, 0.5, frameCount/300f, false, 1337)); } public void mouseMoved() { @@ -33,7 +30,7 @@ public void mouseMoved() { PShape meshColorShape(PShape shape) { List points = PGS_PointSet.poisson(0, 0, width, height, 45 + mouseX/33f, 10); IIncrementalTin mesh = PGS_Triangulation.delaunayTriangulationMesh(shape, points, true, 1, true); - + String[] palette; if (mouseX > width/2) { meshShape = PGS_Meshing.urquhartFaces(mesh, true); diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 62b4ad3f..6439fed0 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -948,7 +948,7 @@ public static String toEncodedPolyline(PShape shape) { Track line = new Track(); toPVector(shape).forEach(p -> line.addTrackpoint(new Trackpoint(p.x, p.y))); line.addTrackpoint(line.getTrackpoints().get(0)); // close - // PolylineEncoder.createEncodings() writes to console, so supress that... + // PolylineEncoder.createEncodings() writes to console, so suppress that... PrintStream old = System.out; System.setOut(new PrintStream(new OutputStream() { public void write(int b) throws IOException { diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 92d48750..840dfed9 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -214,7 +214,7 @@ public static PShape minimumBoundingTriangle(PShape shape) { * The minimum diameter is defined to be the width of the smallest band that * contains the shape, where a band is a strip of the plane defined by two * parallel lines. This can be thought of as the smallest hole that the geometry - * can bemoved through, with a single rotation. + * can be moved through, with a single rotation. * * @param shape * @return diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index c3fe5583..eb575106 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -605,6 +605,7 @@ public static PShape removeSmallHoles(PShape shape, double areaThreshold) { } private static Polygon removeSmallHoles(Polygon polygon, double areaThreshold) { + // TODO construct polygon from holes[] (rather than difference!) Polygon noHolePol = GEOM_FACTORY.createPolygon(polygon.getExteriorRing()); for (int i = 0; i < polygon.getNumInteriorRing(); i++) { final LinearRing hole = polygon.getInteriorRingN(i); @@ -660,9 +661,13 @@ public static PShape split(PShape shape) { /** * Splits a shape into 4^(1+recursions) rectangular partitions. + *

+ * Note: this operation is different to merely overlaying a grid on the shape + * and then splitting. Instead, during each recursion, the envelope of the + * parent is divided into 4 quadrants, but the envelope may be rectangular. * * @param shape - * @param splitDepth + * @param splitDepth number of split recursions to perform * @return a GROUP PShape, where each child shape is some quadrant partition of * the original shape * @see #split(PShape) diff --git a/src/main/java/micycle/pgs/commons/GeometricMedian.java b/src/main/java/micycle/pgs/commons/GeometricMedian.java index ccc6740f..24956309 100644 --- a/src/main/java/micycle/pgs/commons/GeometricMedian.java +++ b/src/main/java/micycle/pgs/commons/GeometricMedian.java @@ -14,7 +14,9 @@ public final class GeometricMedian { // java port of // https://github.com/postgis/postgis/blob/master/liblwgeom/lwgeom_median.c - private static double DBL_EPSILON = 1E-11; + private static final double DBL_EPSILON = 1E-11; + + private GeometricMedian() {} /** * Computes the median point of the input point set. diff --git a/src/main/java/micycle/pgs/commons/MaximumInscribedRectangle.java b/src/main/java/micycle/pgs/commons/MaximumInscribedRectangle.java index b3fcc502..d3964ea5 100644 --- a/src/main/java/micycle/pgs/commons/MaximumInscribedRectangle.java +++ b/src/main/java/micycle/pgs/commons/MaximumInscribedRectangle.java @@ -8,6 +8,7 @@ import org.locationtech.jts.geom.prep.PreparedGeometry; import org.locationtech.jts.geom.prep.PreparedGeometryFactory; +import net.jafama.FastMath; import net.metaopt.swarm.FitnessFunction; import net.metaopt.swarm.pso.Particle; import net.metaopt.swarm.pso.Swarm; @@ -112,7 +113,7 @@ private static final Polygon rectFromCoords(double[] position) { Coordinate[] coords = new Coordinate[5]; PVector base = new PVector((float) x, (float) y); - PVector dir1 = new PVector((float) Math.cos(a), (float) Math.sin(a)); + PVector dir1 = new PVector((float) FastMath.cos(a), (float) FastMath.sin(a)); PVector dir2 = dir1.copy().rotate((float) Math.PI * 0.5f); PVector base2 = base.copy().add(dir1.copy().mult((float) w)); coords[0] = coordFromPVector(base); From 22095844b98a91da335ce7b6962e94353906c59d Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 7 Jan 2023 15:01:11 +0000 Subject: [PATCH 14/88] add maximumPermimeterSquare and rectPack() --- CHANGELOG.md | 2 + README.md | 8 +- pom.xml | 5 + resources/optimisation/mis.png | Bin 0 -> 48124 bytes resources/optimisation/rectPack.gif | Bin 0 -> 100911 bytes resources/optimisation/rectPackBins.gif | Bin 0 -> 77358 bytes src/main/java/micycle/pgs/PGS.java | 26 ++++ .../java/micycle/pgs/PGS_Optimisation.java | 141 ++++++++++++++++++ 8 files changed, 180 insertions(+), 2 deletions(-) create mode 100644 resources/optimisation/mis.png create mode 100644 resources/optimisation/rectPack.gif create mode 100644 resources/optimisation/rectPackBins.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 784ea5da..8d32eb21 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -14,6 +14,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `weightedMedian()` to `PGS_PointSet`. Finds the geometric median point of a set of weighted sample points. * `median()` to `PGS_ShapePredicates`. Computes the geometric median location of a shape's vertices. * `createRandomSFCurve()` to `PGS_Construction`. Creates a random space-filling curve. +* `maximumPerimeterSquare()` to `PGS_Optimisation`. Finds the largest square whose 4 vertices each lie on the perimeter of a shape. +* `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 0f831a95..99f0b899 100644 --- a/README.md +++ b/README.md @@ -512,13 +512,14 @@ Much of the functionality (but by no means all) is demonstrated below: Maximum Inscribed Circle Minimum Bounding Rectangle - Maximum Inscribed Rectangle + Maximum Inscribed Rectangle + Maximum Perimeter Square - + @@ -558,9 +559,12 @@ Much of the functionality (but by no means all) is demonstrated below: + Rectangle Bin Pack Hilbert Sort Faces + + diff --git a/pom.xml b/pom.xml index ac589892..a9faa28a 100644 --- a/pom.xml +++ b/pom.xml @@ -321,6 +321,11 @@ dsiutils 2.7.2 + + com.github.micycle1 + RectPacking + 9178e79df3 + diff --git a/resources/optimisation/mis.png b/resources/optimisation/mis.png new file mode 100644 index 0000000000000000000000000000000000000000..eb5caf7e85eafc09bcfb5000e9119d5bd82fc15b GIT binary patch literal 48124 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micycle.pgs.commons.Nullable; import micycle.pgs.commons.PEdge; +import processing.core.PConstants; import processing.core.PShape; import processing.core.PVector; @@ -98,6 +99,12 @@ static final double distance(Point a, Point b) { double deltaY = a.getX() - b.getX(); return Math.sqrt(deltaX * deltaX + deltaY * deltaY); } + + static final double distanceSq(PVector a, PVector b) { + float dx = a.x - b.x; + float dy = a.y - b.y; + return (dx * dx + dy * dy); + } static final LineString createLineString(PVector a, PVector b) { return GEOM_FACTORY.createLineString(new Coordinate[] { coordFromPVector(a), coordFromPVector(b) }); @@ -110,6 +117,25 @@ static final SegmentString createSegmentString(PVector a, PVector b) { static final Point createPoint(double x, double y) { return GEOM_FACTORY.createPoint(new Coordinate(x, y)); } + + /** + * Creates a stroked rectangle. + */ + static final PShape createRect(double x, double y, double w, double h) { + final PShape rect = new PShape(PShape.PATH); + rect.setFill(true); + rect.setFill(255); + rect.setStroke(true); + rect.setStrokeWeight(4); + rect.setStroke(RGB.PINK); + rect.beginShape(); + rect.vertex((float) x, (float) y); + rect.vertex((float) (x + w), (float) y); + rect.vertex((float) (x + w), (float) (y + h)); + rect.vertex((float) x, (float) (y + h)); + rect.endShape(PConstants.CLOSE); + return rect; + } static final Point pointFromPVector(PVector p) { return GEOM_FACTORY.createPoint(new Coordinate(p.x, p.y)); diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 840dfed9..a5cd4ea0 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -2,6 +2,7 @@ import static micycle.pgs.PGS_Conversion.fromPShape; import static micycle.pgs.PGS_Conversion.toPShape; +import static processing.core.PConstants.GROUP; import static micycle.pgs.PGS_Construction.createEllipse; import java.util.ArrayList; @@ -15,14 +16,21 @@ import org.locationtech.jts.algorithm.MinimumDiameter; import org.locationtech.jts.algorithm.construct.LargestEmptyCircle; import org.locationtech.jts.algorithm.construct.MaximumInscribedCircle; +import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.Envelope; import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.LineString; +import org.locationtech.jts.geom.Location; import org.locationtech.jts.geom.Point; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.operation.distance.DistanceOp; +import org.locationtech.jts.simplify.DouglasPeuckerSimplifier; import org.locationtech.jts.util.GeometricShapeFactory; +import almadina.rectpacking.RBPSolution; +import almadina.rectpacking.Rect; +import almadina.rectpacking.RectPacking.PackingHeuristic; import micycle.pgs.color.RGB; import micycle.pgs.commons.ClosestPointPair; import micycle.pgs.commons.FarthestPointPair; @@ -136,6 +144,71 @@ public static PShape maximumInscribedAARectangle(PShape shape, boolean fast) { return toPShape(shapeFactory.createRectangle()); } + /** + * Finds the largest area perimeter square of the input. A perimeter + * square is a square whose 4 vertices each lie on the perimeter of the + * input shape (within the given tolerance). + *

+ * If the input is convex, the output forms a fully inscribed square; if the + * input is concave the output is not necessarily inscribed. + *

+ * Does not respect holes (for now...). + * + * @param shape + * @param tolerance a value of 2-5 is usually suitable + * @return shape representing the maximum square + * @since 1.3.1 + */ + public static PShape maximumPerimeterSquare(PShape shape, double tolerance) { + shape = PGS_Morphology.simplify(shape, tolerance / 2); + final Polygon p = (Polygon) PGS_Conversion.fromPShape(shape); + Geometry buffer = p.getExteriorRing().buffer(tolerance / 2, 4); + final Envelope e = buffer.getEnvelopeInternal(); + buffer = DouglasPeuckerSimplifier.simplify(buffer, tolerance / 2); + final IndexedPointInAreaLocator pia = new IndexedPointInAreaLocator(buffer); + shape = PGS_Processing.densify(shape, Math.max(0.5, tolerance)); // min of 0.5 + final List points = PGS_Conversion.toPVector(shape); + + double maxDiagonal = 0; + PVector[] maxAreaVertices = new PVector[0]; + for (int i = 0; i < points.size(); i++) { + for (int j = 0; j < points.size(); j++) { + final PVector a = points.get(i); + final PVector b = points.get(j); + double dist = PGS.distanceSq(a, b); + + if (dist < maxDiagonal) { + continue; + } + + final PVector m = PVector.add(a, b).div(2); + final PVector n = new PVector(b.y - a.y, a.x - b.x).div(2); + final PVector c = PVector.sub(m, n); + + final PVector d = PVector.add(m, n); + // do envelope checks first -- slightly faster + if (within(c, e) && within(d, e)) { + if (pia.locate(new Coordinate(c.x, c.y)) != Location.EXTERIOR) { + if (pia.locate(new Coordinate(d.x, d.y)) != Location.EXTERIOR) { + maxDiagonal = dist; + maxAreaVertices = new PVector[] { a, c, b, d, a }; // closed vertices + } + } + } + } + } + + PShape out = PGS_Conversion.fromPVector(maxAreaVertices); + out.setStroke(true); + out.setStroke(micycle.pgs.color.RGB.PINK); + out.setStrokeWeight(4); + return out; + } + + private static boolean within(PVector p, Envelope rect) { + return p.x >= rect.getMinX() && p.x <= rect.getMaxX() && p.y <= rect.getMaxY() && p.y >= rect.getMinY(); + } + /** * Computes the Minimum Bounding Circle (MBC) for the points in a Geometry. The * MBC is the smallest circle which covers all the vertices of the input shape @@ -245,6 +318,74 @@ public static PShape largestEmptyCircle(PShape obstacles, double tolerance) { Polygon circle = createEllipse(PGS.coordFromPoint(lec.getCenter()), wh, wh); return toPShape(circle); } + + public enum RectPackHeuristic { + + /** + * Packs rectangles such that the wasted/empty area within the bin is minimised. + * This heuristic tends to generate packings that are less dense but are better + * at covering the whole area (particularly if there is much spare area) than + * the other heuristics. + */ + BestAreaFit(PackingHeuristic.BestAreaFit), + /** + * Packs rectangles such that the total touching perimeter length is maximised. + * In practice, rectangles are packed against the left-most and upper-most + * boundary of the bin first. + */ + TouchingPerimeter(PackingHeuristic.TouchingPerimeter), + /** + * Packs rectangles such that the distance between the top-right corner of each + * rectangle and that of the bin is maximised. + */ + TopRightCornerDistance(PackingHeuristic.TopRightCornerDistance); + + private final PackingHeuristic h; + + private RectPackHeuristic(PackingHeuristic h) { + this.h = h; + } + } + + /** + * Packs a collection of rectangles, according to the given packing heuristic, + * into rectangular 2D bin(s). Within each bin rectangles are packed flush with + * each other, having no overlap. Each rectangle is packed parallel to the edges + * of the plane. + *

+ * When packed rectangles fill one bin, any remaining rectangles will be packed + * into additional bin(s). + * + * @param rectangles a collection of rectangles (represented by PVectors), + * specifying their width (.x) and height (.y) + * @param binWidth the width of each bin's area in which to pack the + * rectangles + * @param binHeight the height of each bin's area in which to pack the + * rectangles + * @param heuristic the packing heuristic to use. The heuristic determines + * rules for how every subsequent rectangle is placed + * @since 1.3.1 + * @return a GROUP PShape, where each immediate child is a GROUP shape + * corresponding to a bin; the child shapes of each bin are rectangles. + * Bins are positioned at (0, 0). + */ + public static PShape rectPack(List rectangles, int binWidth, int binHeight, RectPackHeuristic heuristic) { + RBPSolution packer = new RBPSolution(binWidth, binHeight); + List rects = rectangles.stream().map(p -> Rect.of((int) Math.round(p.x), (int) Math.round(p.y))) + .collect(Collectors.toList()); + + packer.pack(rects, heuristic.h); + + PShape bins = new PShape(GROUP); + packer.getBins().forEach(bin -> { + PShape binGroup = new PShape(GROUP); + bin.getPackedRects().forEach(r -> { + binGroup.addChild(PGS.createRect(r.x, r.y, r.width, r.height)); + }); + bins.addChild(binGroup); + }); + return bins; + } /** * Returns the nearest point of the shape to the given point. If the shape is From f8f2da1cb1a5d4cbb6b83042f50d6e81970e53be Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 9 Jan 2023 10:43:50 +0000 Subject: [PATCH 15/88] swap interpolate() args --- CHANGELOG.md | 1 + pom.xml | 3 ++- src/main/java/micycle/pgs/PGS_Conversion.java | 11 +++++++++++ src/main/java/micycle/pgs/PGS_Morphology.java | 19 +++++++++++-------- .../pgs/commons/ShapeInterpolation.java | 6 ++++++ 5 files changed, 31 insertions(+), 9 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 8d32eb21..b35862f0 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -25,6 +25,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. * Shape Y coordinates were being inverted during `fromJava2D()` conversion. +* The `from` and `to` arguments for `interpolate()` are now the correct way round. ### Removed * diff --git a/pom.xml b/pom.xml index a9faa28a..47efa255 100644 --- a/pom.xml +++ b/pom.xml @@ -50,6 +50,7 @@ 3.4.0 false + micycle.pgs.* @@ -309,7 +310,7 @@ com.github.openjump-gis topology-extension - f41ae6744c + 2.0.4 com.github.scoutant diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 6439fed0..e0415078 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -660,6 +660,17 @@ private static Geometry fromPrimitive(PShape shape) { } return GEOM_FACTORY.createPolygon(); // empty polygon } + + /** + * Transforms a variable arg list of points into a POINTS PShape. + * + * @param vertices + * @return a POINTS PShape + * @since 1.3.1 + */ + public static final PShape toPointsPShape(PVector... vertices) { + return toPointsPShape(Arrays.asList(vertices)); + } /** * Transforms a list of points into a POINTS PShape. diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index ad6b0351..3c64250a 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -95,7 +95,7 @@ public static PShape buffer(PShape shape, double buffer, OffsetStyle bufferStyle * @param startDistance the starting buffer amount * @param endDistance the terminating buffer amount * @return a polygonal shape representing the variable buffer region (which may - * beempty) + * be empty) * @since 1.3.0 */ public static PShape variableBuffer(PShape shape, double startDistance, double endDistance) { @@ -459,6 +459,9 @@ public static PShape radialWarp(PShape shape, double magnitude, double warpOffse perturbation *= magnitude * 2; coord.add(heading.normalize().mult(perturbation)); // add perturbation to vertex }); + if (!coords.get(0).equals(coords.get(coords.size() - 1))) { + coords.add(coords.get(0)); + } return PGS_Conversion.fromPVector(coords); } @@ -612,13 +615,13 @@ public static PShape fieldWarp(PShape shape, double magnitude, double noiseScale * @see #interpolate(PShape, PShape, int) */ public static PShape interpolate(PShape from, PShape to, double interpolationFactor) { - final Geometry toGeom = fromPShape(to); final Geometry fromGeom = fromPShape(from); + final Geometry toGeom = fromPShape(to); if (toGeom.getGeometryType().equals(Geometry.TYPENAME_POLYGON) && fromGeom.getGeometryType().equals(Geometry.TYPENAME_POLYGON)) { - final ShapeInterpolation tween = new ShapeInterpolation(toGeom, fromGeom); + final ShapeInterpolation tween = new ShapeInterpolation(fromGeom, toGeom); return toPShape(PGS.GEOM_FACTORY.createPolygon(tween.tween(interpolationFactor))); } else { - System.err.println("morph() accepts holeless single polygons only (for now)."); + System.err.println("interpolate() accepts holeless single polygons only (for now)."); return from; } } @@ -643,10 +646,10 @@ public static PShape interpolate(PShape from, PShape to, double interpolationFac * @see #interpolate(PShape, PShape, double) */ public static PShape interpolate(PShape from, PShape to, int frames) { - final Geometry toGeom = fromPShape(to); final Geometry fromGeom = fromPShape(from); + final Geometry toGeom = fromPShape(to); if (toGeom.getGeometryType().equals(Geometry.TYPENAME_POLYGON) && fromGeom.getGeometryType().equals(Geometry.TYPENAME_POLYGON)) { - final ShapeInterpolation tween = new ShapeInterpolation(toGeom, fromGeom); + final ShapeInterpolation tween = new ShapeInterpolation(fromGeom, toGeom); final float fraction = 1f / (frames - 1); PShape out = new PShape(); for (int i = 0; i < frames; i++) { @@ -654,7 +657,7 @@ public static PShape interpolate(PShape from, PShape to, int frames) { } return out; } else { - System.err.println("morph() accepts holeless single polygons only (for now)."); + System.err.println("interpolate() accepts holeless single polygons only (for now)."); return from; } } @@ -667,7 +670,7 @@ public static PShape interpolate(PShape from, PShape to, int frames) { * * @param shape shape to reduce * @param precision the exact grid size with which to round shape vertices. - * shoule be non-zero and positive + * should be non-zero and positive * @return reduced copy of input * @since 1.3.0 */ diff --git a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java index 57f5e02a..680fca6c 100644 --- a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java +++ b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java @@ -113,6 +113,12 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { } public Coordinate[] tween(double t) { + if (t == 0) { + return from.toCoordinateArray(); + } else if (t == 1) { + return to.toCoordinateArray(); + } + t %= 1; CoordinateList morph = new CoordinateList(); for (int i = 0; i < from.size(); i++) { morph.add(lerp(from.get(i), to.get(i), t), true); From 892c3c5e0bcf4a06b1c49afd8c4d51ab233e06e0 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 9 Jan 2023 14:20:02 +0000 Subject: [PATCH 16/88] fixup doyle spiral impl --- CHANGELOG.md | 1 + .../java/micycle/pgs/commons/DoyleSpiral.java | 197 +++++++++++------- 2 files changed, 124 insertions(+), 74 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index b35862f0..e351009d 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -21,6 +21,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). * Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particularly on large inputs. * `toPVector()` now works on GROUP shapes (returning vertices from all child shapes). +* Improved *Doyle Spiral* implementation. Outputs on some combinations of argument inputs should be better. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/commons/DoyleSpiral.java b/src/main/java/micycle/pgs/commons/DoyleSpiral.java index 6bd396b4..cc5bac46 100644 --- a/src/main/java/micycle/pgs/commons/DoyleSpiral.java +++ b/src/main/java/micycle/pgs/commons/DoyleSpiral.java @@ -1,14 +1,13 @@ package micycle.pgs.commons; -import static java.lang.Math.pow; -import static java.lang.Math.sin; - -import java.util.HashSet; -import java.util.Set; +import static net.jafama.FastMath.pow; +import static net.jafama.FastMath.sin; +import java.util.ArrayList; +import java.util.List; import processing.core.PVector; -import static java.lang.Math.cos; +import static net.jafama.FastMath.cos; import static java.lang.Math.PI; /** @@ -19,169 +18,220 @@ * @author Java port by Michael Carleton * */ -@java.lang.SuppressWarnings({"java:S2184", "java:S1905", "java:S100"}) +@java.lang.SuppressWarnings({ "java:S100" }) public class DoyleSpiral { // https://bl.ocks.org/robinhouston/6096950 // https://github.com/robinhouston/doyle-spirals - /* - * NOTE In methods that calculate p / q, leaving this as integer division - * (versus double division), results in no missing circles around the center (as - * is the case with double division on some p & q) but some circles are - * duplicated (hence a set is returned). - */ - - private double maxRadius = 500; - private Set circles; + private final double maxRadius; + private List circles; - /** - * Creates a Doyle spiral having the given parameters. Parameters p and q - * control the number of arms the spiral has in each direction. - * - * @param p at least 2 - * @param q at least p + 1 - * @param maxRadius the maximum radius of the packing arrangement (the maximum - * distance a circle centroid can be from the center of the - * arrangement) - */ public DoyleSpiral(int p, int q, double maxRadius) { p = Math.max(p, 2); q = Math.max(q, p + 1); this.maxRadius = maxRadius; - circles = new HashSet<>(); + circles = new ArrayList<>(); Doyle root = new Doyle(p, q); - double[] start = root.a; - for (int i = 0; i < q; i++) { - spiral(root.r, start, root.a); - start = cmul(start, root.b); + double[] Q; + final double mod_b = hypot(root.b); + +// Q = new double[] { 1e-3, 0 }; // min radius of 1e-3 +// for (int i = 0; i < p; i++) { +// double[] c = Q; +// double d = hypot(c); +// while (d < maxRadius) { +// circles.add(makeCircle(c[0], c[1], d * root.r)); +// c = cmul(c, root.b); +// d *= mod_b; +// } +// Q = cmul(Q, root.a); +// } + final float scale = (float) pow(root.z, -10); + maxRadius = maxRadius / scale; + Q = new double[] { 1, 0 }; + for (int i = 0; i < p; i++) { + double[] c = Q; + double d = hypot(c); + while (d < maxRadius) { + PVector circle = makeCircle(c[0], c[1], d * root.r).mult(scale); + circles.add(circle); + c = cmul(c, root.b); + d *= mod_b; + } + Q = cmul(Q, root.a); } } /** - * Centered on (0, 0). + * Returns a list of circles comprising the spriral. The spiral is centered on + * (0, 0). * - * @return + * @return list of PVector circles where .z refers to radius of circle */ - public Set getCircles() { + public List getCircles() { return circles; } - private void spiral(double r, double[] start_point, double[] delta) { - final double mod_delta = modulus(delta); + void spiral(double r, double[] start_point, double[] delta) { + final double mod_delta = hypot(delta); double[] q = start_point; - for (double mod_q = modulus(q); mod_q < maxRadius; mod_q *= mod_delta) { - circles.add(new PVector((float) q[0], (float) q[1], (float) (mod_q * r))); + for (double mod_q = hypot(q); mod_q < maxRadius; mod_q *= mod_delta) { + circles.add(makeCircle(q[0], q[1], mod_q * r)); q = cmul(q, delta); } } + private PVector makeCircle(double x, double y, double r) { +// double[] mobius = transformCircle(x, y, r); +// x = mobius[0]; +// y = mobius[1]; +// r = mobius[2]; + return new PVector((float) x, (float) y, (float) r); + } + + // https://gist.github.com/robinhouston/6098310 + private static double[] transformCircle(double x, double y, double r) { + // The image of a circle under the Möbius transformation + double[] a = transformPoint(x - r, y); + double[] b = transformPoint(x + r, y); + double[] c = transformPoint(x, y + r); + return circleThroughPoints(a, b, c); + } + + private static double[] transformPoint(double x, double y) { + // Möbius transformation that maps (0, 1, ∞) to (-1, 0, 1) + double denom = (x + 1) * (x + 1) + y * y; + return new double[] { (x * x - 1 + y * y) / denom, 2 * y / denom }; + } + + private static double[] circleThroughPoints(double[] a, double[] b, double[] c) { + // The unique circle passing through three non-collinear points + double na = a[0] * a[0] + a[1] * a[1]; + double nb = b[0] * b[0] + b[1] * b[1]; + double nc = c[0] * c[0] + c[1] * c[1]; + double y = ((a[0] - b[0]) * (nb - nc) - (b[0] - c[0]) * (na - nb)) + / (2 * (b[1] - a[1]) * (b[0] - c[0]) - 2 * (a[0] - b[0]) * (c[1] - b[1])), + x = (na - nb + 2 * (b[1] - a[1]) * y) / (2 * (a[0] - b[0])), + r = Math.sqrt((x - a[0]) * (x - a[0]) + (y - a[1]) * (y - a[1])); + return new double[] { x, y, r }; + } + private static double[] cmul(double[] w, double[] z) { return new double[] { w[0] * z[0] - w[1] * z[1], w[0] * z[1] + w[1] * z[0] }; } - private static double modulus(double[] p) { + private static double[] crot(double[] z, double theta) { + return cmul(z, new double[] { Math.cos(theta), Math.sin(theta) }); + } + + private static double hypot(double[] p) { return Math.sqrt(p[0] * p[0] + p[1] * p[1]); } - private static double _d(double z, double t, int p, int q) { + private static double _d(double z, double t, double p, double q) { // The square of the distance between z*e^(it) and z*e^(it)^(p/q). - double w = pow(z, p / (int) q), s = (p * t + 2 * PI) / q; + double w = pow(z, p / q), s = (p * t + 2 * PI) / q; return (pow(z * cos(t) - w * cos(s), 2) + pow(z * sin(t) - w * sin(s), 2)); } - private static double ddz_d(double z, double t, int p, int q) { + private static double ddz_d(double z, double t, double p, double q) { // The partial derivative of _d with respect to z. - double w = pow(z, p / (int) q), s = (p * t + 2 * PI) / q, ddz_w = (p / (int) q) * pow(z, (p - q) / (int) q); + double w = pow(z, p / q), s = (p * t + 2 * PI) / q, ddz_w = (p / q) * pow(z, (p - q) / q); return (2 * (w * cos(s) - z * cos(t)) * (ddz_w * cos(s) - cos(t)) + 2 * (w * sin(s) - z * sin(t)) * (ddz_w * sin(s) - sin(t))); } - private static double ddt_d(double z, double t, int p, int q) { + private static double ddt_d(double z, double t, double p, double q) { // The partial derivative of _d with respect to t. - double w = pow(z, p / (int) q), s = (p * t + 2 * PI) / q, dds_t = (p / (int) q); + double w = pow(z, p / q), s = (p * t + 2 * PI) / q, dds_t = (p / q); return (2 * (z * cos(t) - w * cos(s)) * (-z * sin(t) + w * sin(s) * dds_t) + 2 * (z * sin(t) - w * sin(s)) * (z * cos(t) - w * cos(s) * dds_t)); } - private static double _s(double z, double t, int p, int q) { + private static double _s(double z, double t, double p, double q) { // The square of the sum of the origin-distance of z*e^(it) and // the origin-distance of z*e^(it)^(p/q). - return pow(z + pow(z, p / (int) q), 2); + return pow(z + pow(z, p / q), 2); } - private static double ddz_s(double z, double t, int p, int q) { + private static double ddz_s(double z, double t, double p, double q) { // The partial derivative of _s with respect to z. - double w = pow(z, p / (int) q), ddz_w = (p / (int) q) * pow(z, (p - q) / (int) q); + double w = pow(z, p / q), ddz_w = (p / q) * pow(z, (p - q) / q); return 2 * (w + z) * (ddz_w + 1); } - private static double _r(double z, double t, int p, int q) { + private static double _r(double z, double t, double p, double q) { // The square of the radius-ratio implied by having touching circles - // centred at z*e^(it) and z*e^(it)^(p/q). + // centred at ze^(it) and ze^(it)^(p/q). return _d(z, t, p, q) / _s(z, t, p, q); } - private static double ddz_r(double z, double t, int p, int q) { + private static double ddz_r(double z, double t, double p, double q) { // The partial derivative of _r with respect to z. return (ddz_d(z, t, p, q) * _s(z, t, p, q) - _d(z, t, p, q) * ddz_s(z, t, p, q)) / pow(_s(z, t, p, q), 2); } - private static double ddt_r(double z, double t, int p, int q) { + private static double ddt_r(double z, double t, double p, double q) { // The partial derivative of _r with respect to t. return (ddt_d(z, t, p, q) * _s(z, t, p, q) - /* - _d(z,t,p,q) * ddt_s(z,t,p,q) */ // omitted because ddt_s is constant at zero + /* - _d(z,t,p,q) * ddt_s(z,t,p,q) */ // This term is zero. ) / pow(_s(z, t, p, q), 2); } private static class Doyle { - private static double epsilon = 1e-10; + private static final double EPSILON = 1e-10; - int p, q; - double[] a, b; + final double p, q; - private Doyle(int p, int q) { + boolean ok = false; + double z; + double t; + double r; + + double[] a; + double[] b; + + public Doyle(double p, double q) { this.p = p; this.q = q; - find_root(2, 0); + + findRoot(2, 0); + if (!ok) { System.err.println("Failed to find root for p=" + p + ", q=" + q); } + a = new double[] { z * cos(t), z * sin(t) }; - double corootZ = pow(z, p / (int) q); + double corootZ = pow(z, p / q); double corootT = (p * t + 2 * PI) / q; b = new double[] { corootZ * cos(corootT), corootZ * sin(corootT) }; } - boolean ok = false; - double z, t, r; - - private void find_root(double z, double t) { + private void findRoot(double z, double t) { while (true) { double v_f = _f(z, t), v_g = _g(z, t); - if (-epsilon < v_f && v_f < epsilon && -epsilon < v_g && v_g < epsilon) { - ok = true; + if (-EPSILON < v_f && v_f < EPSILON && -EPSILON < v_g && v_g < EPSILON) { this.z = z; this.t = t; this.r = Math.sqrt(_r(z, t, 0, 1)); + ok = true; return; } double a = ddz_f(z, t), b = ddt_f(z, t), c = ddz_g(z, t), d = ddt_g(z, t); double det = a * d - b * c; - if (-epsilon < det && det < epsilon) { - ok = false; + if (-EPSILON < det && det < EPSILON) { return; } z -= (d * v_f - b * v_g) / det; t -= (a * v_g - c * v_f) / det; - if (z < epsilon) { - ok = false; + if (z < EPSILON) { return; } } @@ -200,16 +250,15 @@ private double ddt_f(double z, double t) { } private double _g(double z, double t) { - return _r(z, t, 0, 1) - _r(pow(z, p / (int) q), (p * t + 2 * PI) / q, 0, 1); + return _r(z, t, 0, 1) - _r(pow(z, p / q), (p * t + 2 * PI) / q, 0, 1); } private double ddz_g(double z, double t) { - return ddz_r(z, t, 0, 1) - ddz_r(pow(z, p / (int) q), (p * t + 2 * PI) / q, 0, 1) * (p / (int) q) * pow(z, (p - q) / (int) q); + return ddz_r(z, t, 0, 1) - ddz_r(pow(z, p / q), (p * t + 2 * PI) / q, 0, 1) * (p / q) * pow(z, (p - q) / q); } private double ddt_g(double z, double t) { - return ddt_r(z, t, 0, 1) - ddt_r(pow(z, p / (int) q), (p * t + 2 * PI) / q, 0, 1) * (p / (int) q); + return ddt_r(z, t, 0, 1) - ddt_r(pow(z, p / q), (p * t + 2 * PI) / q, 0, 1) * (p / q); } } - } From d90db211eb823461dc5124301c79aeb60da5720a Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 16 Jan 2023 13:17:07 +0000 Subject: [PATCH 17/88] improve holes(); add reorderChildren() + scaleAreaTo(); fix heart --- CHANGELOG.md | 4 ++- .../java/micycle/pgs/PGS_Construction.java | 19 +++++++------ src/main/java/micycle/pgs/PGS_Conversion.java | 26 +++++++++++++++-- .../java/micycle/pgs/PGS_ShapePredicates.java | 28 +++++++++++++------ .../java/micycle/pgs/PGS_Transformation.java | 17 +++++++++++ .../micycle/pgs/PGS_ShapePredicatesTests.java | 10 +++++++ 6 files changed, 82 insertions(+), 22 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index e351009d..e5f162a3 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -10,18 +10,20 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Added * `sobolLDS()` to `PGS_PointSet`. Generates a set of 2D deterministic stratified points from the Sobol low discrepancy sequence. * `cluster()` to `PGS_PointSet`. Clusters a collection points into N groups (using k-means). -* `double[][]` conversion methods to `PGS_Conversion`. Converts simple PShapes to and from their `double[p1, p2][x, y]` representation. +* `double[][]` conversion methods to `PGS_Conversion`. Converts simple PShapes to and from their `double[p1, p2, ...][x, y]` representation. * `weightedMedian()` to `PGS_PointSet`. Finds the geometric median point of a set of weighted sample points. * `median()` to `PGS_ShapePredicates`. Computes the geometric median location of a shape's vertices. * `createRandomSFCurve()` to `PGS_Construction`. Creates a random space-filling curve. * `maximumPerimeterSquare()` to `PGS_Optimisation`. Finds the largest square whose 4 vertices each lie on the perimeter of a shape. * `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). +* `reorderChildren()` to `PGS_Conversion`. Reorders the child shapes of a shape according to given comparator. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). * Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particularly on large inputs. * `toPVector()` now works on GROUP shapes (returning vertices from all child shapes). * Improved *Doyle Spiral* implementation. Outputs on some combinations of argument inputs should be better. +* `PGS_ShapePredicates.holes()` now supports GROUP shapes. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_Construction.java b/src/main/java/micycle/pgs/PGS_Construction.java index ca9426fa..9a27ca10 100644 --- a/src/main/java/micycle/pgs/PGS_Construction.java +++ b/src/main/java/micycle/pgs/PGS_Construction.java @@ -230,13 +230,13 @@ public static PShape createStar(double centerX, double centerY, int numRays, dou *

* In order for the shape to not self intersect a + b should be less than 1. * - * @param centerX The x coordinate of the center - * @param centerY The y coordinate of the center + * @param centerX The x coordinate of the center + * @param centerY The y coordinate of the center * @param maxWidth - * @param a blob parameter. a + b should be less than 1 - * @param b blob parameter.a + b should be less than 1 - * @param c blob parameter - * @param d blob parameter + * @param a blob parameter. a + b should be less than 1 + * @param b blob parameter.a + b should be less than 1 + * @param c blob parameter + * @param d blob parameter * @return * @since 1.3.0 */ @@ -288,14 +288,15 @@ public static PShape createHeart(final double centerX, final double centerY, fin heart.setFill(RGB.WHITE); heart.beginShape(); - final int points = 180; + final double length = 6.3855 * width; // Arc length of parametric curve from wolfram alpha + final int points = (int) length / 2; // sample every 2 units along curve (roughly) final double angleInc = Math.PI * 2 / points; double angle = 0; while (angle < Math.PI * 2) { final double s = FastMath.sin(angle); double vx = s * s * s; double vy = 13 * FastMath.cos(angle) - 5 * FastMath.cos(2 * angle) - 2 * FastMath.cos(3 * angle) - FastMath.cos(4 * angle); - vy /= 17; // normalise to 1 + vy /= 16; // normalise to 1 heart.vertex((float) (centerX + vx * width / 2), (float) (centerY - vy * width / 2)); angle += angleInc; } @@ -561,7 +562,7 @@ public static PShape createRandomSFCurve(int nColumns, int nRows, double cellWid curve.setFill(255); curve.setStroke(0); curve.setStrokeWeight(3); - + return curve; } diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index e0415078..e49125fa 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -22,6 +22,7 @@ import java.util.Arrays; import java.util.Collection; import java.util.Collections; +import java.util.Comparator; import java.util.HashMap; import java.util.HashSet; import java.util.List; @@ -75,8 +76,8 @@ * Geometries (amongst other formats). Also includes helper/utility * methods for PShapes. *

- * Methods in this class are used by the library internally but are kept - * accessible for more advanced user use cases. + * Some conversion methods in this class are used by the library internally but + * are kept accessible/public for more advanced user use cases. *

* Notably, JTS geometries do not support bezier curves so any bezier curves are * finely subdivided into straight linestrings during PShape -> JTS @@ -660,7 +661,7 @@ private static Geometry fromPrimitive(PShape shape) { } return GEOM_FACTORY.createPolygon(); // empty polygon } - + /** * Transforms a variable arg list of points into a POINTS PShape. * @@ -1294,6 +1295,25 @@ public static PShape setAllStrokeToFillColor(PShape shape, double strokeWeight) return shape; } + /** + * Reorders the child shapes of a given shape. + *

+ * Creates a new GROUP shape, having the same children as the input, but in a + * different order; child shapes of the new shape are ordered according to the + * given comparator. + * + * @param shape a GROUP shape + * @param comparator PShape comparison function + * @return a new GROUP PShape object having its children in a different order. + * Child shapes reference the same objects as the input. + * @since 1.3.1 + */ + public static PShape reorderChildren(PShape shape, Comparator comparator) { + List children = getChildren(shape); + children.sort(comparator); + return flatten(children); + } + /** * Calls setFill(false) on a PShape and all its children. This method mutates * the input shape. diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index 4d79e95d..9aacc927 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -22,6 +22,7 @@ import org.locationtech.jts.geom.Location; import org.locationtech.jts.geom.Point; import org.locationtech.jts.geom.Polygon; +import org.locationtech.jts.geom.util.PolygonExtracter; import micycle.pgs.commons.GeometricMedian; import micycle.trapmap.TrapMap; @@ -41,9 +42,9 @@ private PGS_ShapePredicates() { } /** - * Determines whether the outer shape contains the inner shape (meaning every - * point of the inner shape is a point of the outer shape). A shape is - * considered to contain itself itself. + * Determines whether the outer shape fully contains the inner shape. A shape is + * considered to contain itself. Points of the inner shape that lie on the + * boundary of the outer shape are considered to be contained. * * @param outer * @param inner @@ -70,8 +71,8 @@ public static boolean containsPoint(PShape shape, PVector point) { /** * Determines whether a shape contains every point from a list of points. It is * faster to use method rather than than calling - * {@link #containsPoint(PShape, PVector)} repeatedly. Points that lie on the - * boundary of the shape are considered to be contained. + * {@link #containsPoint(PShape, PVector) containsPoint()} repeatedly. Any + * points that lie on the boundary of the shape are considered to be contained. * * @param shape * @param points list of points to check @@ -243,7 +244,7 @@ public static PVector centroid(PShape shape) { } return null; } - + /** * Computes the geometric median location of a shape's vertices. *

@@ -390,12 +391,21 @@ public static double elongation(final PShape shape) { } /** - * Computes the number of holes in a shape. + * Counts the number of holes in a shape. * - * @return + * @param shape a polygonal shape (can be a GROUP shape having multiple + * polygons) + * @return total number of holes in the shape */ public static int holes(PShape shape) { - return ((Polygon) fromPShape(shape)).getNumInteriorRing(); // NOTE assume a single polygon + @SuppressWarnings("unchecked") + List polygons = PolygonExtracter.getPolygons(fromPShape(shape)); + + int holes = 0; + for (Polygon p : polygons) { + holes += p.getNumInteriorRing(); + } + return holes; } /** diff --git a/src/main/java/micycle/pgs/PGS_Transformation.java b/src/main/java/micycle/pgs/PGS_Transformation.java index 6793327e..e40b0d8e 100644 --- a/src/main/java/micycle/pgs/PGS_Transformation.java +++ b/src/main/java/micycle/pgs/PGS_Transformation.java @@ -74,6 +74,23 @@ public static PShape originScale(PShape shape, double scale) { return toPShape(t.transform(g)); } + /** + * Scales the given PShape to the target area, relative to its center point. + * + * @param shape The PShape to be scaled. + * @param targetArea The target area for the shape. + * @return The scaled PShape (now having an area of targetArea). + * @since 1.3.1 + */ + public static PShape scaleAreaTo(PShape shape, double targetArea) { + Geometry geometry = fromPShape(shape); + double area = geometry.getArea(); + double scalingFactor = Math.sqrt(targetArea / area); + Coordinate c = geometry.getCentroid().getCoordinate(); + AffineTransformation t = AffineTransformation.scaleInstance(scalingFactor, scalingFactor, c.x, c.y); + return toPShape(t.transform(geometry)); + } + /** * Resizes a shape (based on its envelope) to the given dimensions, relative to * its center point. diff --git a/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java b/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java index 9b36855d..faa6ebae 100644 --- a/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java +++ b/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java @@ -56,5 +56,15 @@ void testMaximumInteriorAngle() { assertEquals(Math.PI / 2, PGS_ShapePredicates.maximumInteriorAngle(square)); assertEquals(Math.PI / 3, PGS_ShapePredicates.maximumInteriorAngle(triangle), EPSILON); } + + @Test + void testHoles() { + assertEquals(0, PGS_ShapePredicates.holes(square)); + PShape withHole = PGS_ShapeBoolean.subtract(square, PGS_Transformation.scale(square, 0.5)); + assertEquals(1, PGS_ShapePredicates.holes(withHole)); + PShape groupHoles = PGS_Conversion.flatten(withHole, withHole); + assertEquals(2, PGS_ShapePredicates.holes(groupHoles)); + + } } From 52f7173eb33cf5425b5254bd2ba2d97eea4943d1 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 16 Jan 2023 13:17:39 +0000 Subject: [PATCH 18/88] few argument handling improvements --- CHANGELOG.md | 2 ++ src/main/java/micycle/pgs/PGS_Hull.java | 9 +++++++++ src/main/java/micycle/pgs/PGS_Morphology.java | 2 ++ src/main/java/micycle/pgs/PGS_Voronoi.java | 3 +++ 4 files changed, 16 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index e5f162a3..62195d0a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -17,6 +17,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `maximumPerimeterSquare()` to `PGS_Optimisation`. Finds the largest square whose 4 vertices each lie on the perimeter of a shape. * `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). * `reorderChildren()` to `PGS_Conversion`. Reorders the child shapes of a shape according to given comparator. +* `scaleAreaTo()` to `PGS_Transformation`. Scales a given shape to a target shape area. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). @@ -29,6 +30,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. * Shape Y coordinates were being inverted during `fromJava2D()` conversion. * The `from` and `to` arguments for `interpolate()` are now the correct way round. +* Hearts produced by `PGS_Construction.createHeart()` were slightly squished in the vertical direction. ### Removed * diff --git a/src/main/java/micycle/pgs/PGS_Hull.java b/src/main/java/micycle/pgs/PGS_Hull.java index 596d8333..e51045b5 100644 --- a/src/main/java/micycle/pgs/PGS_Hull.java +++ b/src/main/java/micycle/pgs/PGS_Hull.java @@ -91,6 +91,9 @@ public static PShape concaveHull(PShape shapeSet, double concavity, boolean tigh * @see #concaveHullBFS2(List, double) */ public static PShape concaveHullDFS(List points, double threshold) { + if (points == null || points.isEmpty()) { + return new PShape(); + } threshold *= threshold * threshold; List closestList = PGS_Optimisation.farthestPointPair(points); threshold *= closestList.get(0).dist(closestList.get(1)); @@ -113,6 +116,9 @@ public static PShape concaveHullDFS(List points, double threshold) { * @see #concaveHullBFS2(List, double) */ public static PShape concaveHullBFS(List points, double edgeLengthRatio) { + if (points == null || points.isEmpty()) { + return new PShape(); + } edgeLengthRatio *= edgeLengthRatio; // square to make output change more linearly as concavity goes 0...1 Geometry g = prepareConcaveGeometry(points); org.locationtech.jts.algorithm.hull.ConcaveHull concaveHull = new org.locationtech.jts.algorithm.hull.ConcaveHull(g); @@ -144,6 +150,9 @@ public static PShape concaveHullBFS(List points, double edgeLengthRatio * @see #concaveHullBFS(List, double) */ public static PShape concaveHullBFS2(List points, double threshold) { + if (points == null || points.isEmpty()) { + return new PShape(); + } // threshold*=threshold*threshold; /*- * (from https://doi.org/10.1016/j.patcog.2008.03.023) diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index 3c64250a..b206927c 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -119,6 +119,7 @@ public static PShape variableBuffer(PShape shape, double startDistance, double e * @see #dilationErosion(PShape, double) */ public static PShape erosionDilation(PShape shape, double buffer) { + buffer = Math.abs(buffer); return toPShape(fromPShape(shape).buffer(-buffer).buffer(buffer)); } @@ -136,6 +137,7 @@ public static PShape erosionDilation(PShape shape, double buffer) { * @see #erosionDilation(PShape, double) */ public static PShape dilationErosion(PShape shape, double buffer) { + buffer = Math.abs(buffer); return toPShape(fromPShape(shape).buffer(buffer).buffer(-buffer)); } diff --git a/src/main/java/micycle/pgs/PGS_Voronoi.java b/src/main/java/micycle/pgs/PGS_Voronoi.java index 00d2b05c..89e7c492 100644 --- a/src/main/java/micycle/pgs/PGS_Voronoi.java +++ b/src/main/java/micycle/pgs/PGS_Voronoi.java @@ -87,6 +87,9 @@ public static PShape innerVoronoi(final PShape shape, final boolean constrain, d final Geometry g = fromPShape(shape); final List vertices = new ArrayList<>(); final Coordinate[] coords = g.getCoordinates(); + if (coords.length < 3) { // at least 3 vertices are required + return new PShape(); + } for (int i = 0; i < coords.length; i++) { vertices.add(new Vertex(coords[i].x, coords[i].y, 0, i)); } From 06b16f24aa242bc45c6ff3618e1bf5af2753d558 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 16 Jan 2023 18:00:56 +0000 Subject: [PATCH 19/88] add circleCoverage --- README.md | 2 + src/main/java/micycle/pgs/PGS.java | 20 +++++-- .../java/micycle/pgs/PGS_Optimisation.java | 56 ++++++++++++++++++- 3 files changed, 69 insertions(+), 9 deletions(-) diff --git a/README.md b/README.md index 99f0b899..317d4fdb 100644 --- a/README.md +++ b/README.md @@ -559,10 +559,12 @@ Much of the functionality (but by no means all) is demonstrated below: + Circle Covering Rectangle Bin Pack Hilbert Sort Faces + diff --git a/src/main/java/micycle/pgs/PGS.java b/src/main/java/micycle/pgs/PGS.java index 8c08e2ca..c68cfe1c 100644 --- a/src/main/java/micycle/pgs/PGS.java +++ b/src/main/java/micycle/pgs/PGS.java @@ -137,17 +137,25 @@ static final PShape createRect(double x, double y, double w, double h) { return rect; } - static final Point pointFromPVector(PVector p) { + static final Point pointFromPVector(final PVector p) { return GEOM_FACTORY.createPoint(new Coordinate(p.x, p.y)); } - static final Coordinate coordFromPoint(Point p) { + static final Coordinate coordFromPoint(final Point p) { return new Coordinate(p.getX(), p.getY()); } - static final Coordinate coordFromPVector(PVector p) { + static final Coordinate coordFromPVector(final PVector p) { return new Coordinate(p.x, p.y); } + + static final Coordinate[] toCoords(final List points) { + final Coordinate[] coords = new Coordinate[points.size()]; + for (int i = 0; i < coords.length; i++) { + coords[i] = coordFromPVector(points.get(i)); + } + return coords; + } static final PVector toPVector(Coordinate c) { return new PVector((float) c.x, (float) c.y); @@ -244,17 +252,17 @@ static final PShape polygonizeEdges(Collection edges) { * @return a GROUP PShape, where each child shape represents a polygon face * formed by the given edges */ - static final PShape polygonizeSegments(Collection segments, boolean node) { + public static final PShape polygonizeSegments(Collection segments, boolean node) { if (node) { segments = nodeSegmentStrings(segments); } - final Collection meshEdges = new ArrayList<>(segments.size()); + final List meshEdges = new ArrayList<>(segments.size()); segments.forEach(ss -> { // ss is not necessarily a single edge (can be many connected edges) for (int i = 0; i < ss.size() - 1; i++) { meshEdges.add(new PEdge(toPVector(ss.getCoordinate(i)), toPVector(ss.getCoordinate(i + 1)))); } }); - Collections.shuffle((List) meshEdges); + Collections.shuffle(meshEdges); return polygonizeEdges(meshEdges); } diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index a5cd4ea0..d0461bda 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -22,9 +22,11 @@ import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.LineString; import org.locationtech.jts.geom.Location; +import org.locationtech.jts.geom.MultiPoint; import org.locationtech.jts.geom.Point; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.operation.distance.DistanceOp; +import org.locationtech.jts.shape.random.RandomPointsInGridBuilder; import org.locationtech.jts.simplify.DouglasPeuckerSimplifier; import org.locationtech.jts.util.GeometricShapeFactory; @@ -38,6 +40,7 @@ import micycle.pgs.commons.MaximumInscribedRectangle; import micycle.pgs.commons.MinimumBoundingEllipse; import micycle.pgs.commons.MinimumBoundingTriangle; +import micycle.pgs.commons.SeededRandomPointsInGridBuilder; import processing.core.PShape; import processing.core.PVector; @@ -318,7 +321,55 @@ public static PShape largestEmptyCircle(PShape obstacles, double tolerance) { Polygon circle = createEllipse(PGS.coordFromPoint(lec.getCenter()), wh, wh); return toPShape(circle); } - + + /** + * Covers a polygon with n circles such that no circle’s center lies outside the + * polygon. Circles will generally cover most of the shape and have some mutual + * overlap. + * + * @param shape shape to cover + * @param n number of circles to generate + * @return A list of PVectors, each representing one circle: (.x, .y) represent + * the center point and .z represents radius. + * @see #circleCoverage(PShape, int, long) + * @since 1.3.1 + */ + public static List circleCoverage(PShape shape, int n) { + return circleCoverage(shape, n, System.currentTimeMillis()); + } + + /** + * Covers a polygon with n circles such that no circle’s center lies outside the + * polygon. Circles will generally cover most of the shape and have some mutual + * overlap. + * + * @param shape shape to cover + * @param n number of circles to generate + * @param seed random seed + * @return A list of PVectors, each representing one circle: (.x, .y) represent + * the center point and .z represents radius. + * @see #circleCoverage(PShape, int) + * @since 1.3.1 + */ + public static List circleCoverage(PShape shape, int n, long seed) { + int nSeedPoints = (int) (PGS_ShapePredicates.area(shape) / 100); // ~one point every 10 units + List points = PGS_Processing.generateRandomGridPoints(shape, nSeedPoints, false, 0.5, seed); + points.addAll(PGS_Conversion.toPVector(shape)); // incl. shape vertices + + List circles = new ArrayList<>(n); + PGS_PointSet.cluster(points, n, seed).forEach(group -> { + if (group.size() < 2) { // unlikely + return; + } + Geometry clusterPoints = PGS.GEOM_FACTORY.createMultiPointFromCoords(PGS.toCoords(group)); + MinimumBoundingCircle mbc = new MinimumBoundingCircle(clusterPoints); + Coordinate mbcp = mbc.getCentre(); + circles.add(new PVector((float) mbcp.x, (float) mbcp.y, (float) mbc.getRadius())); + }); + + return circles; + } + public enum RectPackHeuristic { /** @@ -371,8 +422,7 @@ private RectPackHeuristic(PackingHeuristic h) { */ public static PShape rectPack(List rectangles, int binWidth, int binHeight, RectPackHeuristic heuristic) { RBPSolution packer = new RBPSolution(binWidth, binHeight); - List rects = rectangles.stream().map(p -> Rect.of((int) Math.round(p.x), (int) Math.round(p.y))) - .collect(Collectors.toList()); + List rects = rectangles.stream().map(p -> Rect.of(Math.round(p.x), Math.round(p.y))).collect(Collectors.toList()); packer.pack(rects, heuristic.h); From cb6308f247de93b19234612f71467687d3ddcb13 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Tue, 17 Jan 2023 19:07:44 +0000 Subject: [PATCH 20/88] stabilise RLF --- src/main/java/micycle/pgs/commons/RLFColoring.java | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/src/main/java/micycle/pgs/commons/RLFColoring.java b/src/main/java/micycle/pgs/commons/RLFColoring.java index e9a9ceb5..d574c51e 100644 --- a/src/main/java/micycle/pgs/commons/RLFColoring.java +++ b/src/main/java/micycle/pgs/commons/RLFColoring.java @@ -1,6 +1,7 @@ package micycle.pgs.commons; import java.util.HashSet; +import java.util.LinkedHashSet; import java.util.Map; import java.util.Objects; import java.util.Set; @@ -72,7 +73,7 @@ public class RLFColoring implements VertexColoringAlgorithm { public RLFColoring(Graph graph) { this.graph = Objects.requireNonNull(graph, "Graph cannot be null"); - U = new HashSet<>(graph.vertexSet()); + U = new LinkedHashSet<>(graph.vertexSet()); W = new HashSet<>(graph.vertexSet().size()); C = CollectionUtil.newHashMapWithExpectedSize(graph.vertexSet().size()); neighborCache = new NeighborCache<>(graph); From ae5a39368ddf7f7078ed9e9fb28e9c4c3ffe412a Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 21 Jan 2023 11:10:31 +0000 Subject: [PATCH 21/88] add tests, and other assorted improvements --- CHANGELOG.md | 1 + resources/optimisation/circleCoverage.gif | Bin 0 -> 923786 bytes .../java/micycle/pgs/PGS_Construction.java | 2 + .../java/micycle/pgs/PGS_Optimisation.java | 4 +- src/main/java/micycle/pgs/PGS_Processing.java | 55 +++++++++--------- src/main/java/micycle/pgs/PGS_SegmentSet.java | 8 +-- .../java/micycle/pgs/PGS_ShapeBoolean.java | 3 + .../java/micycle/pgs/PGS_Transformation.java | 3 +- .../java/micycle/pgs/PGS_Triangulation.java | 21 ++++--- .../micycle/pgs/FastPolygonizerTests.java | 5 +- .../micycle/pgs/PGS_TransformationTests.java | 46 +++++++++++++++ .../micycle/pgs/PGS_TriangulationTests.java | 27 +++++++++ 12 files changed, 126 insertions(+), 49 deletions(-) create mode 100644 resources/optimisation/circleCoverage.gif create mode 100644 src/test/java/micycle/pgs/PGS_TransformationTests.java create mode 100644 src/test/java/micycle/pgs/PGS_TriangulationTests.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 62195d0a..fe36a2d0 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -18,6 +18,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). * `reorderChildren()` to `PGS_Conversion`. Reorders the child shapes of a shape according to given comparator. * `scaleAreaTo()` to `PGS_Transformation`. Scales a given shape to a target shape area. +* `circleCoverage()` to `PGS_Optimsation`. Covers a polygon with n circles. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. 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* * @author Nicolas Fortin of Ifsttar UMRAE + * @author Small changes by Michael Carleton */ public class VisibilityPolygon { @@ -64,11 +64,10 @@ public class VisibilityPolygon { private List originalSegments = new ArrayList<>(); private double epsilon = 1e-8; // epsilon to help avoid degeneracies private int numPoints = 96; - private IndexedPointInAreaLocator locator; /** - * @param maxDistance maximum distance constraint for visibility polygon, from - * view point + * @param maxDistance maximum distance (from the view point) constraint for the + * visibility polygon */ public VisibilityPolygon(double maxDistance) { this.maxDistance = maxDistance; @@ -79,30 +78,25 @@ public VisibilityPolygon() { } /** + * Returns a polygonal geometry that represents the isovist for a collection of + * view points. An isovist is the set of all points visible from a given point + * in a space, considering occlusions caused by the environment. * - * @param viewPoints - * @param addEnvelope If true add circle bounding box. This function does not - * work properly if the view point is not enclosed by - * segments - * @return a polygonal geometry -- either a single polygon or multipolygon (when - * disjoint) + * @param viewPoints the collection of view points from which the isovist is + * computed. + * @param addEnvelope a boolean flag indicating whether to include a circle + * bounding box in the resulting geometry. + * @return a polygonal geometry representing the isovist. The geometry returned + * may be a single polygon or a multipolygon comprising multiple + * disjoint polygons. */ public Geometry getIsovist(Collection viewPoints, boolean addEnvelope) { - List vps = new ArrayList<>(viewPoints); // new container - if (!addEnvelope && locator != null) { - vps.removeIf(p -> locator.locate(p) == Location.EXTERIOR); - } List polys = new ArrayList<>(); - vps.forEach(p -> { - polys.add(getIsovist(p, addEnvelope)); - }); + viewPoints.forEach(p -> polys.add(getIsovist(p, addEnvelope))); if (polys.size() == 1) { return polys.get(0); } else if (polys.size() == 2) { -// Geometry[] snapped = GeometrySnapper.snap(polys.get(0), polys.get(1), 1e-3); -// System.out.println(GeometrySnapper.computeOverlaySnapTolerance(polys.get(1), polys.get(0))); return polys.get(0).union(polys.get(1)); -// return snapped[0].union(snapped[1]); } return CascadedPolygonUnion.union(polys); } @@ -422,7 +416,6 @@ public void setEpsilon(double epsilon) { * @param geometry Geometry collection, LineString or Polygon instance */ public void addGeometry(Geometry geometry) { - locator = new IndexedPointInAreaLocator(geometry); if (geometry instanceof LineString) { addLineString(originalSegments, (LineString) geometry); } else if (geometry instanceof Polygon) { From 641c66ee8d3c45348338d97f9e2aa65a586a4670 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 18 Mar 2023 12:24:27 +0000 Subject: [PATCH 41/88] assorted javadoc --- src/main/java/micycle/pgs/PGS_Conversion.java | 4 ++++ src/main/java/micycle/pgs/PGS_Hull.java | 16 ++++++++++------ src/main/java/micycle/pgs/PGS_Morphology.java | 7 ++++--- src/main/java/micycle/pgs/PGS_Optimisation.java | 13 +++++++------ src/main/java/micycle/pgs/PGS_ShapeBoolean.java | 6 +++--- .../java/micycle/pgs/PGS_ShapePredicates.java | 9 ++++++--- .../java/micycle/pgs/PGS_Transformation.java | 2 +- src/main/java/micycle/pgs/PGS_Triangulation.java | 2 +- 8 files changed, 36 insertions(+), 23 deletions(-) diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 907aacce..d129f2c8 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -834,6 +834,10 @@ public static SimpleGraph toDualGraph(PShape mesh) { return toDualGraph(getChildren(mesh)); } + /** + * @param meshFaces collection of faces comprising a conforming mesh. + * @return + */ static SimpleGraph toDualGraph(Collection meshFaces) { final SimpleGraph graph = new SimpleGraph<>(DefaultEdge.class); // map of which edge belong to each face; used to detect half-edges diff --git a/src/main/java/micycle/pgs/PGS_Hull.java b/src/main/java/micycle/pgs/PGS_Hull.java index baa4e811..4b9119ae 100644 --- a/src/main/java/micycle/pgs/PGS_Hull.java +++ b/src/main/java/micycle/pgs/PGS_Hull.java @@ -86,21 +86,22 @@ public static PShape concaveHull(PShape shapeSet, double concavity, boolean tigh * more contiguous/less branching and spiral-like. * * @param points - * @param threshold euclidean distance threshold + * @param concavity a factor value between 0 and 1, specifying how concave the + * output is (where 1 is maximal concavity) * @return * @since 1.1.0 * @see #concaveHullBFS(List, double) * @see #concaveHullBFS2(List, double) */ - public static PShape concaveHullDFS(List points, double threshold) { + public static PShape concaveHullDFS(List points, double concavity) { if (points == null || points.isEmpty()) { return new PShape(); } - threshold *= threshold * threshold; + concavity *= concavity * concavity; // linearise a little bit List closestList = PGS_Optimisation.farthestPointPair(points); - threshold *= closestList.get(0).dist(closestList.get(1)); + concavity *= closestList.get(0).dist(closestList.get(1)); ConcaveHull hull = new ConcaveHull(prepareConcaveGeometry(points)); - return toPShape(hull.getConcaveHullDFS(new TriCheckerChi(threshold))); + return toPShape(hull.getConcaveHullDFS(new TriCheckerChi(concavity))); } /** @@ -111,7 +112,10 @@ public static PShape concaveHullDFS(List points, double threshold) { * concave hull. The edge length ratio is a fraction of * the difference between the longest and shortest edge * lengths in the Delaunay Triangulation of the input - * points. It is a value in the range 0 to 1. + * points. It is a value in the range 0.0 to 1; at 0.0 it + * produces a concave hull of minimum area that is still + * connected; 1.0 produces the convex hull. + * * @return * @since 1.1.0 * @see #concaveHullDFS(List, double) diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index 1b967282..535edb01 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -528,15 +528,16 @@ public static PShape radialWarp(PShape shape, double magnitude, double warpOffse * perimeter at some frequency. * * @param shape single polygonal shape - * @param magnitude maxiumum perpendicular displacement along the shape + * @param magnitude maximum perpendicular displacement along the shape * perimeter - * @param frequency sine wave frequency + * @param frequency sine wave frequency. Values less than 1 will result in an + * offset that does not smoothly join up. * @param phase sine wave phase. corresponds to the fraction (0...1) around * the shape perimeter where the wave starts (0 displacement). * @return * @since 1.3.0 */ - public static PShape sineWarp(PShape shape, double magnitude, int frequency, double phase) { + public static PShape sineWarp(PShape shape, double magnitude, double frequency, double phase) { Geometry g = fromPShape(shape); if (g instanceof Polygonal) { if (g.getGeometryType().equals(Geometry.TYPENAME_MULTIPOLYGON)) { diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 4e142848..c0f59e62 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -18,6 +18,7 @@ import org.locationtech.jts.algorithm.construct.MaximumInscribedCircle; import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.CoordinateList; import org.locationtech.jts.geom.Envelope; import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.LineString; @@ -601,9 +602,9 @@ public static PVector solveApollonius(PVector c1, PVector c2, PVector c3, int s1 } /** - * Computes a visibility polygon / isovist, which is the set of all points - * visible from a given point in a space, considering occlusions caused by - * obstacles. In this case, obstacles comprise the line segments of input shape. + * Computes a visibility polygon / isovist, the area visible from a given point + * in a space, considering occlusions caused by obstacles. In this case, + * obstacles comprise the line segments of input shape. * * @param obstacles shape representing obstacles, which may have any manner of * polygon and line geometries. @@ -620,9 +621,9 @@ public static PShape visibilityPolygon(PShape obstacles, PVector viewPoint) { } /** - * Computes a visibility polygon / isovist, which is the set of all points - * visible from a set of given points in space, considering occlusions caused by - * obstacles. In this case, obstacles comprise the line segments of input shape. + * Computes a visibility polygon / isovist, the area visible from a set of given + * points in space, considering occlusions caused by obstacles. In this case, + * obstacles comprise the line segments of input shape. * * @param obstacles shape representing obstacles, which may have any manner of * polygon and line geometries. diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index 47bb119d..55b1de1b 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -158,8 +158,8 @@ private static PShape unionMeshWithHoles(final PShape mesh) { * * @deprecated */ - private static PShape unionMeshWithoutHoles(final PShape mesh) { - Map edges = new HashMap<>(mesh.getChildCount() * 3); + static PShape unionMeshWithoutHoles(final Collection mesh) { + Map edges = new HashMap<>(); final List allEdges; @@ -167,7 +167,7 @@ private static PShape unionMeshWithoutHoles(final PShape mesh) { * Compute set of unique edges belonging to the mesh (this set is equivalent to * the boundary, assuming a holeless mesh). */ - for (PShape child : mesh.getChildren()) { + for (PShape child : mesh) { for (int i = 0; i < child.getVertexCount(); i++) { final PVector a = child.getVertex(i); final PVector b = child.getVertex((i + 1) % child.getVertexCount()); diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index fcb30941..51fd7067 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -166,7 +166,7 @@ public static PShape findContainingShape(PShape groupShape, PVector point) { try { map = new TrapMap(PGS_Conversion.getChildren(PGS_Transformation.shear(groupShape, .00001, 0))); } catch (Exception e2) { - System.err.println(e.getLocalizedMessage()); + System.err.println(e.getMessage()); return new PShape(); } } @@ -246,9 +246,11 @@ public static double density(PShape shape) { /** * Computes the centroid of a shape. A centroid is the center of mass of the * shape. + *

+ * If the input is a polygon, the centroid will always lie inside it. * * @param shape - * @return null if point is empty (geometry empty) + * @return null if geometry empty */ public static PVector centroid(PShape shape) { Point point = fromPShape(shape).getCentroid(); @@ -262,7 +264,8 @@ public static PVector centroid(PShape shape) { * Computes the geometric median location of a shape's vertices. *

* The median point is the point that minimises the sum of distances to the - * shape vertices. + * shape vertices. If the input is a concave polygon, the median may not lie + * inside it. * * @param shape * @return median point diff --git a/src/main/java/micycle/pgs/PGS_Transformation.java b/src/main/java/micycle/pgs/PGS_Transformation.java index 2192551f..c0a03f98 100644 --- a/src/main/java/micycle/pgs/PGS_Transformation.java +++ b/src/main/java/micycle/pgs/PGS_Transformation.java @@ -264,7 +264,7 @@ public static PShape touchScale(PShape shape, PShape boundary, double tolerance) * * @param shape shape to translate * @param x the value to translate by in the x direction - * @param y the value to translate by in the x direction + * @param y the value to translate by in the y direction * @return translated copy of input */ public static PShape translate(PShape shape, double x, double y) { diff --git a/src/main/java/micycle/pgs/PGS_Triangulation.java b/src/main/java/micycle/pgs/PGS_Triangulation.java index f8e9dd7f..08419ca9 100644 --- a/src/main/java/micycle/pgs/PGS_Triangulation.java +++ b/src/main/java/micycle/pgs/PGS_Triangulation.java @@ -277,7 +277,7 @@ public static IIncrementalTin delaunayTriangulationMesh(@Nullable PShape shape, */ refinementVertices.clear(); TriangleCollector.visitSimpleTriangles(tin, t -> { - if (t.getArea() > 50) { // don't refine small triangles + if (t.getArea() > 99) { // don't refine small triangles final Coordinate center = centroid(t); // use centroid rather than circumcircle center if (pretty || pointLocator.locate(center) != Location.EXTERIOR) { refinementVertices.add(new Vertex(center.x, center.y, Double.NaN)); From e248e2e72a49f3af43ec8c1e3401d8115cb1df8f Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 19 Mar 2023 16:12:35 +0000 Subject: [PATCH 42/88] smoothMesh() --- CHANGELOG.md | 1 + README.md | 2 + resources/meshing/smooth.gif | Bin 0 -> 828138 bytes src/main/java/micycle/pgs/PGS_Meshing.java | 32 ++ src/main/java/micycle/pgs/commons/PMesh.java | 303 +++++++++++++++++++ 5 files changed, 338 insertions(+) create mode 100644 resources/meshing/smooth.gif create mode 100644 src/main/java/micycle/pgs/commons/PMesh.java diff --git a/CHANGELOG.md b/CHANGELOG.md index c769abc7..987a9583 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -33,6 +33,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Additional method signature for `PGS_Processing.fromPVector()` that accepts a random seed. * `visibilityPolygon()` to `PGS_Optimisation`. Computes the area visible from a given point in a space, considering occlusions caused by obstacles. * Additional method signature for `PGS_CirclePacking.stochasticPack()` that accepts a random seed. +* `smoothMesh()` to `PGS_Meshing`. Smoothes a mesh via iterative weighted Laplacian smoothing. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 41ad484d..b6af0962 100644 --- a/README.md +++ b/README.md @@ -515,10 +515,12 @@ Much of the functionality (but by no means all) is demonstrated below: Split Quadrangulation Spiral Quadrangulation + Mesh Smoothing + diff --git a/resources/meshing/smooth.gif b/resources/meshing/smooth.gif new file mode 100644 index 0000000000000000000000000000000000000000..4ec1bcf4318063cb168ab25e0cd1405f99bd7c17 GIT binary patch literal 828138 zcmV(~K+nHNNk%w1Ve|p?0ayS4A^!_bMO0HmK~P09E-(WD0000X`2++C0000i00000 z^a1n%r2qgZ3IZ(-127W=F&YIm9tJoe200}NJ1Pi0E(t(03PL&zMm`NlLk>zv4^2xD zPE8O{R}xfX6kBN)UTqg(a2H{77-M-EW_=oHg&b^+9dME!bD1D_q#}H*B!ROfgt#Y$ zx+jReD2c==jm#^N*e#dfFPr2ro#-*2?KPwBMyu~nu?@_SuO|I}yu<%f?@K>_& zXS(unzVms)^oPjxlFjy-(f6m<__W>myx{uB<@?s`{NC{W==A>n{s{g60SFvOu%N+% z2oow?$grWqhY%x5oJg^v#fum-YTU@NqsNaRLy8oJq5$ z&6_xL>fFh*r_Y~2g9;r=w5ZXeNRujE%CxD|r%fOt?uiw9b0}CEZxUk{Fh!ZPb%($`R$B-jS 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zxBoQnLW(*C@a{~?DpFaqPOg>Qi%IF-PT>I<4o0N>IK9niRKwmOjHq4vT%qbxGnsT=I!_)-{jGH41t%}0m;@fID! n)MNaABW&9LAN@ZcgNs+~#)F#0BsWPU#G@#yCQ~bA7W#hx1a2TO literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index 8d4c8152..2746e024 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -1,16 +1,22 @@ package micycle.pgs; import java.util.ArrayList; +import java.util.Collection; import java.util.Collections; import java.util.List; import java.util.SplittableRandom; import java.util.stream.Collectors; import java.util.stream.IntStream; +import org.apache.commons.math3.ml.clustering.Clusterable; +import org.apache.commons.math3.ml.clustering.Clusterer; +import org.apache.commons.math3.ml.clustering.KMeansPlusPlusClusterer; +import org.apache.commons.math3.ml.distance.EuclideanDistance; import org.apache.commons.math3.random.RandomGenerator; import org.apache.commons.math3.random.Well19937c; import org.apache.commons.math3.util.FastMath; import org.apache.commons.math3.util.Pair; + import org.jgrapht.alg.interfaces.SpanningTreeAlgorithm; import org.jgrapht.alg.spanning.PrimMinimumSpanningTree; import org.jgrapht.graph.SimpleGraph; @@ -18,6 +24,7 @@ import org.tinspin.index.kdtree.KDTree; import it.unimi.dsi.util.XoRoShiRo128PlusRandom; +import it.unimi.dsi.util.XoRoShiRo128PlusRandomGenerator; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.PoissonDistributionJRUS; import processing.core.PShape; @@ -116,7 +123,7 @@ public static List hilbertSort(List points) { nHilbert = 4; } - // could also use SortedMap point> + // could also use SortedMap point> List> ranks = new ArrayList<>(points.size()); double hScale = (1 << nHilbert) - 1.0; // scale coordinates to 2^n - 1 @@ -131,6 +138,50 @@ public static List hilbertSort(List points) { return ranks.stream().map(Pair::getSecond).collect(Collectors.toList()); } + /** + * Clusters points into N groups, using k-means clustering. + *

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--git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index d129f2c8..77656a57 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -764,6 +764,19 @@ public static SimpleGraph toGraph(PShape shape) { return graph; } + /** + * Converts a given SimpleGraph consisting of PVectors and PEdges into a PShape + * by polygonizing its edges. If the graph represented a shape with holes, these + * will not be preserved during the conversion. + * + * @param graph the graph to be converted into a PShape. + * @return a PShape representing the polygonized edges of the graph. + * @since 1.3.1 + */ + public static PShape fromGraph(SimpleGraph graph) { + return PGS.polygonizeEdges(graph.edgeSet()); + } + /** * Takes as input a graph and computes a layout for the graph vertices using a * Force-Directed placement algorithm (not vertex coordinates, if any exist). diff --git a/src/main/java/micycle/pgs/PGS_Meshing.java b/src/main/java/micycle/pgs/PGS_Meshing.java index 256a79ef..93a5e2f8 100644 --- a/src/main/java/micycle/pgs/PGS_Meshing.java +++ b/src/main/java/micycle/pgs/PGS_Meshing.java @@ -1,12 +1,17 @@ package micycle.pgs; import java.util.ArrayList; +import java.util.Arrays; import java.util.Collection; +import java.util.HashMap; import java.util.HashSet; import java.util.List; +import java.util.Map; import java.util.Set; import java.util.stream.Collectors; +import org.apache.commons.math3.random.RandomGenerator; +import org.jgrapht.alg.connectivity.ConnectivityInspector; import org.jgrapht.alg.interfaces.VertexColoringAlgorithm.Coloring; import org.jgrapht.alg.spanning.GreedyMultiplicativeSpanner; import org.jgrapht.alg.util.NeighborCache; @@ -14,6 +19,7 @@ import org.jgrapht.graph.DefaultEdge; import org.jgrapht.graph.SimpleGraph; import org.locationtech.jts.algorithm.Orientation; +import org.locationtech.jts.coverage.CoverageSimplifier; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; import org.locationtech.jts.geom.Geometry; @@ -29,6 +35,7 @@ import org.tinspin.index.PointIndex; import org.tinspin.index.kdtree.KDTree; +import it.unimi.dsi.util.XoRoShiRo128PlusRandomGenerator; import micycle.pgs.color.RGB; import micycle.pgs.commons.IncrementalTinDual; import micycle.pgs.commons.PEdge; @@ -40,7 +47,7 @@ import processing.core.PVector; /** - * Mesh generation (excluding triangulation). + * Mesh generation (excluding triangulation) and processing. *

* Many of the methods within this class process an existing Delaunay * triangulation; you may first generate such a triangulation from a shape using @@ -555,6 +562,62 @@ public static PShape spiralQuadrangulation(List points) { return PGS.polygonizeEdges(sq.getQuadrangulationEdges()); } + /** + * Randomly merges together / dissolves adjacent faces of a mesh. + *

+ * The procedure randomly assigns a integer ID to each face and then groups of + * mutually adjacent faces that share an ID (belong to the same group) are + * merged into one. + * + * @param mesh the conforming mesh shape to perform the operation on + * @param nClasses the number of classes to assign to mesh faces; fewer classes + * means adjacent faces are more likely to share a class and be + * merged. + * @param seed the seed for the random number generator + * @return a new GROUP PShape representing the result of the operation + * @since 1.3.1 + */ + public static PShape stochasticMerge(PShape mesh, int nClasses, long seed) { + final RandomGenerator random = new XoRoShiRo128PlusRandomGenerator(seed); + SimpleGraph graph = PGS_Conversion.toDualGraph(mesh); + Map classes = new HashMap<>(); + graph.vertexSet().forEach(v -> classes.put(v, random.nextInt(Math.max(nClasses, 1)))); + + /* + * Handle "island" faces, which are faces whose neighbours all have the same + * class (which differ from the island itself). + */ + NeighborCache cache = new NeighborCache<>(graph); + graph.vertexSet().forEach(v -> { + final int vClass = classes.get(v); + List neighbours = cache.neighborListOf(v); + final int nClass1 = classes.get(neighbours.get(0)); + if (vClass == nClass1) { + return; // certainly not an island + } + + neighbours.removeIf(n -> classes.get(n) == nClass1); + if (neighbours.isEmpty()) { + classes.put(v, nClass1); // reassign face class + } + }); + + List toRemove = new ArrayList<>(); + graph.edgeSet().forEach(e -> { + PShape a = graph.getEdgeSource(e); + PShape b = graph.getEdgeTarget(e); + if (!classes.get(a).equals(classes.get(b))) { + toRemove.add(e); + } + }); + graph.removeAllEdges(toRemove); + ConnectivityInspector ci = new ConnectivityInspector<>(graph); + + List blobs = ci.connectedSets().stream().map(group -> PGS_ShapeBoolean.unionMesh(PGS_Conversion.flatten(group))) + .collect(Collectors.toList()); + return PGS_Conversion.flatten(blobs); + } + /** * Smoothes a mesh via iterative weighted Laplacian smoothing. The effect * of which is mesh faces become more uniform in size and shape (isotropic). @@ -586,6 +649,33 @@ public static PShape smoothMesh(PShape mesh, int iterations, boolean preservePer return m.getMesh(); } + /** + * Simplifies the boundaries of the faces in a mesh while preserving the + * original mesh topology. + * + * @param mesh GROUP shape comprising the faces of a conforming + * mesh + * @param tolerance the simplification tolerance for area-based + * simplification. Roughly to the maximumdistance by + * which a simplified line can change from the + * original. + * @param preservePerimeter whether to only simplify inner-boundaries and + * leaving outer boundary edges unchanged. + * @return GROUP shape comprising the simplfied mesh faces + * @since 1.3.1 + */ + public static PShape simplifyMesh(PShape mesh, double tolerance, boolean preservePerimeter) { + Geometry[] geometries = PGS_Conversion.getChildren(mesh).stream().map(s -> PGS_Conversion.fromPShape(s)).toArray(Geometry[]::new); + CoverageSimplifier simplifier = new CoverageSimplifier(geometries); + Geometry[] output; + if (preservePerimeter) { + output = simplifier.simplifyInner(tolerance); + } else { + output = simplifier.simplify(tolerance); + } + return PGS_Conversion.toPShape(Arrays.asList(output)); + } + /** * Calculate the longest edge of a given triangle. */ diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index 535edb01..cc7b3487 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -154,8 +154,9 @@ public static PShape dilationErosion(PShape shape, double buffer) { * @param shape * @param distanceTolerance the tolerance to use * @return simplifed copy of the shape - * @see #simplifyVW(PShape, double) - * @see #simplifyTopology(PShape, double) + * @see #simplifyVW(PShape, double) simplifyVW() + * @see #simplifyTopology(PShape, double) simplifyTopology() + * @see {@link PGS_Meshing#simplifyMesh(PShape, double, boolean) simplifyMesh()} */ public static PShape simplify(PShape shape, double distanceTolerance) { return toPShape(DouglasPeuckerSimplifier.simplify(fromPShape(shape), distanceTolerance)); @@ -170,8 +171,8 @@ public static PShape simplify(PShape shape, double distanceTolerance) { * distance.This is converted to an area tolerance by * squaring it. * @return simplifed copy of the shape - * @see #simplify(PShape, double) - * @see #simplifyTopology(PShape, double) + * @see #simplify(PShape, double) simplify() + * @see #simplifyTopology(PShape, double) simplifyTopology() */ public static PShape simplifyVW(PShape shape, double distanceTolerance) { return toPShape(VWSimplifier.simplify(fromPShape(shape), distanceTolerance)); @@ -184,8 +185,8 @@ public static PShape simplifyVW(PShape shape, double distanceTolerance) { * @param shape * @param distanceTolerance the tolerance to use * @return simplifed copy of the shape - * @see #simplify(PShape, double) - * @see #simplifyVW(PShape, double) + * @see #simplify(PShape, double) simplify() + * @see #simplifyVW(PShape, double) simplifyVW() */ public static PShape simplifyTopology(PShape shape, double distanceTolerance) { return toPShape(TopologyPreservingSimplifier.simplify(fromPShape(shape), distanceTolerance)); @@ -210,27 +211,37 @@ public static PShape simplifyTopology(PShape shape, double distanceTolerance) { public static PShape simplifyDCE(PShape shape, double removeFraction) { removeFraction = 1 - removeFraction; // since dce class is preserve-based, not remove-based Geometry g = fromPShape(shape); - if (g instanceof Polygon) { - // process each ring individually - LinearRing[] rings = new LinearRingIterator(g).getLinearRings(); - LinearRing[] dceRings = new LinearRing[rings.length]; - for (int i = 0; i < rings.length; i++) { - LinearRing ring = rings[i]; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * ring.getNumPoints())); - dceRings[i] = PGS.GEOM_FACTORY.createLinearRing(dce.process(ring)); - } - LinearRing[] holes = null; - if (dceRings.length > 1) { - holes = Arrays.copyOfRange(dceRings, 1, dceRings.length); - } - return toPShape(PGS.GEOM_FACTORY.createPolygon(dceRings[0], holes)); - } else if (g instanceof LineString) { - LineString l = (LineString) g; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * l.getNumPoints())); - return toPShape(PGS.GEOM_FACTORY.createLineString(dce.process(l))); - } else { - System.err.println(g.getGeometryType() + " are not supported for the simplifyDCE() method (yet)."); - return shape; + switch (g.getGeometryType()) { + case Geometry.TYPENAME_GEOMETRYCOLLECTION : + case Geometry.TYPENAME_MULTIPOLYGON : + case Geometry.TYPENAME_MULTILINESTRING : + PShape group = new PShape(GROUP); + for (int i = 0; i < g.getNumGeometries(); i++) { + group.addChild(simplifyDCE(toPShape(g.getGeometryN(i)), removeFraction)); + } + return group; + case Geometry.TYPENAME_LINEARRING : + case Geometry.TYPENAME_POLYGON : + // process each ring individually + LinearRing[] rings = new LinearRingIterator(g).getLinearRings(); + LinearRing[] dceRings = new LinearRing[rings.length]; + for (int i = 0; i < rings.length; i++) { + LinearRing ring = rings[i]; + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * ring.getNumPoints())); + dceRings[i] = PGS.GEOM_FACTORY.createLinearRing(dce.process(ring)); + } + LinearRing[] holes = null; + if (dceRings.length > 1) { + holes = Arrays.copyOfRange(dceRings, 1, dceRings.length); + } + return toPShape(PGS.GEOM_FACTORY.createPolygon(dceRings[0], holes)); + case Geometry.TYPENAME_LINESTRING : + LineString l = (LineString) g; + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * l.getNumPoints())); + return toPShape(PGS.GEOM_FACTORY.createLineString(dce.process(l))); + default : + System.err.println(g.getGeometryType() + " are not supported for the simplifyDCE() method."); // pointal geoms + return new PShape(); // return empty (so element is invisible if not processed) } } @@ -528,8 +539,7 @@ public static PShape radialWarp(PShape shape, double magnitude, double warpOffse * perimeter at some frequency. * * @param shape single polygonal shape - * @param magnitude maximum perpendicular displacement along the shape - * perimeter + * @param magnitude maximum perpendicular displacement along the shape perimeter * @param frequency sine wave frequency. Values less than 1 will result in an * offset that does not smoothly join up. * @param phase sine wave phase. corresponds to the fraction (0...1) around diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index 458ff1c7..b4a6e751 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -15,6 +15,7 @@ import java.util.Iterator; import java.util.List; import java.util.SplittableRandom; +import java.util.function.Predicate; import java.util.stream.Collectors; import java.util.stream.Stream; import java.util.stream.StreamSupport; @@ -1056,6 +1057,24 @@ public static PShape cleanCoverage(PShape coverage, double distanceTolerance, do return out; } + /** + * Filters out the children of a given PShape object based on a given Predicate + * function. + * + * @param shape The PShape whose children will be filtered. + * @param filterFunction A Predicate function that takes a PShape object and + * returns true if the child shape should be + * filtered out/removed from the shape. + * @since 1.3.1 + * @return A new PShapethat contains only the children shapes of the input shape + * that satisfy the given Predicate function (==false). + */ + public static PShape filterChildren(PShape shape, Predicate filterFunction) { + filterFunction = filterFunction.negate(); + List filteredFaces = PGS_Conversion.getChildren(shape).stream().filter(filterFunction::test).collect(Collectors.toList()); + return PGS_Conversion.flatten(filteredFaces); + } + private static Polygon toGeometry(Envelope envelope) { return GEOM_FACTORY .createPolygon(GEOM_FACTORY.createLinearRing(new Coordinate[] { new Coordinate(envelope.getMinX(), envelope.getMinY()), diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index 51fd7067..8346babb 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -13,9 +13,11 @@ import org.locationtech.jts.algorithm.Angle; import org.locationtech.jts.algorithm.MinimumBoundingCircle; import org.locationtech.jts.algorithm.MinimumDiameter; +import org.locationtech.jts.algorithm.Orientation; import org.locationtech.jts.algorithm.construct.MaximumInscribedCircle; import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; import org.locationtech.jts.algorithm.match.HausdorffSimilarityMeasure; +import org.locationtech.jts.coverage.CoverageValidator; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; import org.locationtech.jts.geom.Geometry; @@ -427,14 +429,17 @@ public static int holes(PShape shape) { /** * Computes the maximum/largest interior angle of a polygon. * - * @param shape polygonal shape + * @param shape simple polygonal shape * @return an angle in the range [0, 2PI] * @since 1.3.0 */ public static double maximumInteriorAngle(PShape shape) { - final CoordinateList coords = new CoordinateList(fromPShape(shape).getCoordinates()); + final Coordinate[] coordz = fromPShape(shape).getCoordinates(); + final CoordinateList coords = new CoordinateList(coordz); coords.remove(coords.size() - 1); // remove duplicate/closed coordinate - Collections.reverse(coords); // as CCW winding by default + if (Orientation.isCCW(coordz)) { + Collections.reverse(coords); // CCW -> CW + } double maxAngle = 0; for (int i = 0; i < coords.size(); i++) { Coordinate p0 = coords.get(i); @@ -517,4 +522,20 @@ public static boolean isConvex(PShape shape) { return ((g.convexHull().getArea() - area) / area < 0.001); } + /** + * Determines whether a GROUP shape forms a conforming mesh / valid coverage. + *

+ * Conforming meshes comprise faces that do not intersect; any adjacent faces + * not only share edges, but every pair of shared edges are identical + * (having the same coordinates) (such as a triangulation). + * + * @param mesh shape to test + * @return true if the shape is a conforming mesh + * @since 1.3.1 + */ + public static boolean isConformingMesh(PShape mesh) { + Geometry[] geoms = PGS_Conversion.getChildren(mesh).stream().map(f -> fromPShape(f)).toArray(Geometry[]::new); + return CoverageValidator.isValid(geoms); + } + } From a73a5ee90fb03e65f3194808f61f686852a8c009 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 6 Apr 2023 13:31:01 +0100 Subject: [PATCH 44/88] shapeboolean ops: preserve input style --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_ShapeBoolean.java | 34 +++++++++++++------ 2 files changed, 25 insertions(+), 10 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index a4ecea33..861d6fd6 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -53,6 +53,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Replaced all instances of `System.currentTimeMillis()` with `System.nanoTime()`. Helps the randomness of outputs when called quickly within a loop. * Offset curve methods now handle (unclosed) path shapes. * Improved robustness of `PGS_ShapePredicates.maximumInteriorAngle()`. +* The 4 simple `PGS_ShapeBoolean` methods now preserve the style of input shape `a` in their output. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index 55b1de1b..43eb2599 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -50,10 +50,14 @@ private PGS_ShapeBoolean() { * * @param a The first shape. * @param b The second shape. - * @return A new shape representing the intersection of the two input shapes. + * @return A new shape representing the intersection of the two input shapes; + * the new shape will have the style of shape a. */ public static PShape intersect(final PShape a, final PShape b) { - return toPShape(OverlayNG.overlay(fromPShape(a), fromPShape(b), OverlayNG.INTERSECTION)); + Geometry shapeA = fromPShape(a); + Geometry result = OverlayNG.overlay(shapeA, fromPShape(b), OverlayNG.INTERSECTION); + result.setUserData(shapeA.getUserData()); // preserve shape style (if any) + return toPShape(result); } /** @@ -93,11 +97,15 @@ public static PShape intersectMesh(final PShape mesh, final PShape area) { * "Glues" shapes together so they become a single combined shape with the sum * of its areas. * - * @return A∪B + * @return A new PShape representing the union of the two input shapes; the new + * shape will have the style of shape a. * @see #union(PShape...) */ public static PShape union(final PShape a, final PShape b) { - return toPShape(OverlayNG.overlay(fromPShape(a), fromPShape(b), OverlayNG.UNION)); + Geometry shapeA = fromPShape(a); + Geometry result = OverlayNG.overlay(shapeA, fromPShape(b), OverlayNG.UNION); + result.setUserData(shapeA.getUserData()); // preserve shape style (if any) + return toPShape(result); } /** @@ -148,7 +156,7 @@ public static PShape unionMesh(final PShape mesh) { return unionMeshWithHoles(mesh); } - + private static PShape unionMeshWithHoles(final PShape mesh) { return toPShape(CoverageUnion.union(PGS_Conversion.fromPShape(mesh))); } @@ -158,7 +166,7 @@ private static PShape unionMeshWithHoles(final PShape mesh) { * * @deprecated */ - static PShape unionMeshWithoutHoles(final Collection mesh) { + public static PShape unionMeshWithoutHoles(final Collection mesh) { Map edges = new HashMap<>(); final List allEdges; @@ -202,11 +210,14 @@ static PShape unionMeshWithoutHoles(final Collection mesh) { * @param a The PShape from which the other PShape will be subtracted. * @param b The PShape that will be subtracted from the first PShape. * @return A new PShape representing the difference between the two input - * shapes. + * shapes; the new shape will have the style of shape a. * @see #simpleSubtract(PShape, PShape) */ public static PShape subtract(final PShape a, final PShape b) { - return toPShape(OverlayNG.overlay(fromPShape(a), fromPShape(b), OverlayNG.DIFFERENCE)); + Geometry shapeA = fromPShape(a); + Geometry result = OverlayNG.overlay(shapeA, fromPShape(b), OverlayNG.DIFFERENCE); + result.setUserData(shapeA.getUserData()); // preserve shape style (if any) + return toPShape(result); } /** @@ -276,10 +287,13 @@ public static PShape subtractMesh(PShape mesh, PShape area) { * @param a The first shape. * @param b The second shape. * @return A new shape representing the symmetric difference between the two - * input shapes. + * input shapes; the new shape will have the style of shape a. */ public static PShape symDifference(PShape a, PShape b) { - return toPShape(OverlayNG.overlay(fromPShape(a), fromPShape(b), OverlayNG.SYMDIFFERENCE)); + Geometry shapeA = fromPShape(a); + Geometry result = OverlayNG.overlay(shapeA, fromPShape(b), OverlayNG.SYMDIFFERENCE); + result.setUserData(shapeA.getUserData()); // preserve shape style (if any) + return toPShape(result); } /** From eef1b9e92fb2441dd244c69d7fe2fc4c9555adf3 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 6 Apr 2023 13:36:38 +0100 Subject: [PATCH 45/88] seeded random polygon --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_Construction.java | 44 ++++++++++++++++--- .../micycle/pgs/commons/RandomPolygon.java | 18 ++++---- 3 files changed, 46 insertions(+), 17 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 861d6fd6..c5929aca 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -54,6 +54,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Offset curve methods now handle (unclosed) path shapes. * Improved robustness of `PGS_ShapePredicates.maximumInteriorAngle()`. * The 4 simple `PGS_ShapeBoolean` methods now preserve the style of input shape `a` in their output. +* `PGS_createRandomPolygon` can now accept a random seed. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_Construction.java b/src/main/java/micycle/pgs/PGS_Construction.java index b6ee1161..7f24b57c 100644 --- a/src/main/java/micycle/pgs/PGS_Construction.java +++ b/src/main/java/micycle/pgs/PGS_Construction.java @@ -61,13 +61,29 @@ private PGS_Construction() { * @param n number of polygon vertices/sides * @param maxWidth maximum width of generated random polygon * @param maxHeight maximum height of generated random polygon - * @return - * @see {@link #createRandomPolygonExact(int, double, double)} to specify exact - * dimensions + * @return a PShape representing the generated polygon + * @see {@link #createRandomPolygonExact(int, double, double) + * createRandomPolygonExact()} to specify exact dimensions */ public static PShape createRandomPolygon(int n, double maxWidth, double maxHeight) { + return createRandomPolygon(n, maxWidth, maxHeight, System.nanoTime()); + } + + /** + * Generates a random simple convex polygon (n-gon), having a given random seed. + * + * @param n number of polygon vertices/sides + * @param maxWidth maximum width of generated random polygon + * @param maxHeight maximum height of generated random polygon + * @param seed a seed value used to generate the random polygon (optional) + * @return a PShape representing the generated polygon + * @see {@link #createRandomPolygonExact(int, double, double, long) + * createRandomPolygonExact()} to specify exact dimensions + */ + public static PShape createRandomPolygon(int n, double maxWidth, double maxHeight, long seed) { return PGS_Transformation.translateEnvelopeTo( - PGS_Conversion.fromPVector(RandomPolygon.generateRandomConvexPolygon(n, maxWidth, maxHeight)), maxWidth / 2, maxHeight / 2); + PGS_Conversion.fromPVector(RandomPolygon.generateRandomConvexPolygon(n, maxWidth, maxHeight, seed)), maxWidth / 2, + maxHeight / 2); } /** @@ -77,11 +93,25 @@ public static PShape createRandomPolygon(int n, double maxWidth, double maxHeigh * @param n number of polygon vertices/sides * @param width width of generated random polygon * @param height height of generated random polygon - * @return + * @return a PShape representing the generated polygon */ public static PShape createRandomPolygonExact(int n, double width, double height) { - return PGS_Transformation.resize(PGS_Conversion.fromPVector(RandomPolygon.generateRandomConvexPolygon(n, width, height)), width, - height); + return createRandomPolygonExact(n, width, height, System.nanoTime()); + } + + /** + * Generates a random simple convex polygon (n-gon), where the output's bounding + * box has the dimensions of those specified. + * + * @param n number of polygon vertices/sides + * @param width width of generated random polygon + * @param height height of generated random polygon + * @param seed a seed value used to generate the random polygon + * @return a PShape representing the generated polygon + */ + public static PShape createRandomPolygonExact(int n, double width, double height, long seed) { + return PGS_Transformation.resize(PGS_Conversion.fromPVector(RandomPolygon.generateRandomConvexPolygon(n, width, height, seed)), + width, height); } /** diff --git a/src/main/java/micycle/pgs/commons/RandomPolygon.java b/src/main/java/micycle/pgs/commons/RandomPolygon.java index bc62fbf3..eb07336b 100644 --- a/src/main/java/micycle/pgs/commons/RandomPolygon.java +++ b/src/main/java/micycle/pgs/commons/RandomPolygon.java @@ -4,17 +4,14 @@ import java.util.Collections; import java.util.Comparator; import java.util.List; -import java.util.Random; -import java.util.concurrent.ThreadLocalRandom; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import processing.core.PVector; /** * Random Convex Polygons */ public class RandomPolygon { - - private static final Random RAND = ThreadLocalRandom.current(); private RandomPolygon() { } @@ -24,15 +21,16 @@ private RandomPolygon() { * @param n number of vertices * @return */ - public static List generateRandomConvexPolygon(int n, double xMax, double yMax) { + public static List generateRandomConvexPolygon(int n, double xMax, double yMax, long seed) { + XoRoShiRo128PlusRandom rand = new XoRoShiRo128PlusRandom(seed); // Generate two lists of random X and Y coordinates List xPool = new ArrayList<>(n); List yPool = new ArrayList<>(n); for (int i = 0; i < n; i++) { - xPool.add(RAND.nextDouble() * xMax); - yPool.add(RAND.nextDouble() * yMax); + xPool.add(rand.nextDouble() * xMax); + yPool.add(rand.nextDouble() * yMax); } // Sort them @@ -54,7 +52,7 @@ public static List generateRandomConvexPolygon(int n, double xMax, doub for (int i = 1; i < n - 1; i++) { double x = xPool.get(i); - if (RAND.nextBoolean()) { + if (rand.nextBoolean()) { xVec.add(x - lastTop); lastTop = x; } else { @@ -71,7 +69,7 @@ public static List generateRandomConvexPolygon(int n, double xMax, doub for (int i = 1; i < n - 1; i++) { double y = yPool.get(i); - if (RAND.nextBoolean()) { + if (rand.nextBoolean()) { yVec.add(y - lastLeft); lastLeft = y; } else { @@ -84,7 +82,7 @@ public static List generateRandomConvexPolygon(int n, double xMax, doub yVec.add(lastRight - maxY); // Randomly pair up the X- and Y-components - Collections.shuffle(yVec); + Collections.shuffle(yVec, rand); // Combine the paired up components into vectors List vec = new ArrayList<>(n); From cf918e8a78980a4429e27ff29ec68a53335e368a Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 6 Apr 2023 13:56:20 +0100 Subject: [PATCH 46/88] assorted stuff --- CHANGELOG.md | 3 +- src/main/java/micycle/pgs/PGS_Conversion.java | 46 +++++++++++++++++-- src/main/java/micycle/pgs/color/RGB.java | 25 ++++++++-- src/main/java/micycle/pgs/commons/PEdge.java | 6 ++- 4 files changed, 71 insertions(+), 9 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index c5929aca..4c67bcaf 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -38,7 +38,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `filterChildren()` to `PGS_Processing`. Filters the children of a shape object based on a given Predicate function. * `fromGraph()` to `PGS_Conversion`. Converts a graph consisting of PVectors and PEdges into a PShape by polygonizing its edges. * `stochasticMerge()` to `PGS_Meshing`. Randomly merges together adjacent faces of a mesh. -* `simplifyMesh()` to `PGS_Meshing`. Simplifies the boundaries of the faces in a mesh while preserving the original mesh topology +* `simplifyMesh()` to `PGS_Meshing`. Simplifies the boundaries of the faces in a mesh while preserving the original mesh topology. +* `toCircles()` to `PGS_Conversion`. Creates a PShape having circle geometries representing a collection of circles. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 77656a57..9aa69057 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -170,6 +170,7 @@ public static PShape toPShape(final Geometry g) { } } break; + // TODO treat closed linestrings as unfilled & unclosed paths? case Geometry.TYPENAME_LINEARRING : // LinearRings are closed by definition case Geometry.TYPENAME_LINESTRING : // LineStrings may be open final LineString l = (LineString) g; @@ -702,6 +703,20 @@ public static final PShape toPointsPShape(Collection points) { return shape; } + /** + * Creates a PShape having circle geometries representing a collection of + * circles. + * + * @param circles The collection of PVector objects representing the circles. + * The x and y components represent the center of the circle, and + * the z component represents the radius. + * @return The PShape object representing the collection of circles. + * @since 1.3.1 + */ + public static final PShape toCircles(Collection circles) { + return toPShape(circles.stream().map(c -> PGS_Construction.createEllipse(c.x, c.y, c.z, c.z)).collect(Collectors.toList())); + } + /** * Extracts the vertices of a PShape into list of PVectors. *

@@ -1099,10 +1114,10 @@ public static PShape fromPVector(Collection vertices) { PShape shape = new PShape(); shape.setFamily(PShape.PATH); - shape.setFill(micycle.pgs.color.RGB.WHITE); + shape.setFill(RGB.WHITE); shape.setFill(closed); - shape.setStroke(!closed); - shape.setStroke(micycle.pgs.color.RGB.WHITE); + shape.setStroke(true); + shape.setStroke(closed ? RGB.PINK : RGB.WHITE); shape.setStrokeWeight(2); shape.beginShape(); @@ -1683,7 +1698,7 @@ static class PShapeData { float strokeWeight; boolean fill, stroke; - private PShapeData(PShape shape) { + PShapeData(PShape shape) { try { fillColor = fillColorF.getInt(shape); fill = fillF.getBoolean(shape); @@ -1713,5 +1728,28 @@ public String toString() { return String.format("fillColor: %s; strokeColor: %s; strokeWeight: %.1f", Arrays.toString(decomposeclrRGB(fillColor)), Arrays.toString(decomposeclrRGB(strokeColor)), strokeWeight); } + + @Override + public int hashCode() { + final int prime = 31; + int result = 1; + result = prime * result + (fill ? 1231 : 1237); + result = prime * result + fillColor; + result = prime * result + (stroke ? 1231 : 1237); + result = prime * result + strokeColor; + result = prime * result + Float.floatToIntBits(strokeWeight); + return result; + } + + @Override + public boolean equals(Object obj) { + if (this == obj) + return true; + if (obj == null || getClass() != obj.getClass()) + return false; + PShapeData other = (PShapeData) obj; + return fillColor == other.fillColor && strokeColor == other.strokeColor && strokeWeight == other.strokeWeight + && fill == other.fill && stroke == other.stroke; + } } } diff --git a/src/main/java/micycle/pgs/color/RGB.java b/src/main/java/micycle/pgs/color/RGB.java index d1b7a7fd..e606b2ae 100644 --- a/src/main/java/micycle/pgs/color/RGB.java +++ b/src/main/java/micycle/pgs/color/RGB.java @@ -9,9 +9,24 @@ */ public class RGB { + /** RGB (0, 0, 0) */ public static final int BLACK = composeColor(0, 0, 0); + /** RGB (255, 255, 255) */ public static final int WHITE = composeColor(255, 255, 255); + /** RGB (237, 50, 162) */ public static final int PINK = composeColor(237, 50, 162); + /** RGB (255, 0, 0) */ + public static final int RED = composeColor(255, 0, 0); + /** RGB (0, 255, 0) */ + public static final int GREEN = composeColor(0, 255, 0); + /** RGB (0, 0, 255) */ + public static final int BLUE = composeColor(0, 0, 255); + /** RGB (255, 255, 0) */ + public static final int YELLOW = composeColor(255, 255, 0); + /** RGB (0, 255, 255) */ + public static final int CYAN = composeColor(0, 255, 255); + /** RGB (255, 0, 255) */ + public static final int FUCHSIA = composeColor(255, 0, 255); private static final float INV_255 = 1f / 255f; // used to normalise RGB values to 0...1 @@ -19,21 +34,25 @@ private RGB() { } /** + * Composes an integer value that represents a color in RGB format. + * * @param red ∈[0, 255] * @param green ∈[0, 255] * @param blue ∈[0, 255] * @param alpha ∈[0, 255] (where 0 is transparent; 255 is opaque) - * @return + * @return the integer representation of the color in RGB format */ public static int composeColor(final int red, final int green, final int blue, final int alpha) { return alpha << 24 | red << 16 | green << 8 | blue; } /** + * Composes an integer value that represents a color in RGB format. + * * @param red ∈[0, 255] * @param green ∈[0, 255] * @param blue ∈[0, 255] - * @return + * @return the integer representation of the color in RGB format */ public static int composeColor(final int red, final int green, final int blue) { return -16777216 | red << 16 | green << 8 | blue; @@ -93,7 +112,7 @@ static float[] decomposeclr(int clr) { return new float[] { (clr >> 16 & 0xff) * INV_255 * alpha, (clr >> 8 & 0xff) * INV_255 * alpha, (clr & 0xff) * INV_255 * alpha, alpha }; } - + /** * Converts hex color strings to Processing integer colors (RRGGBB). * diff --git a/src/main/java/micycle/pgs/commons/PEdge.java b/src/main/java/micycle/pgs/commons/PEdge.java index 3d106cdf..34d3083b 100644 --- a/src/main/java/micycle/pgs/commons/PEdge.java +++ b/src/main/java/micycle/pgs/commons/PEdge.java @@ -62,7 +62,7 @@ public int hashCode() { public boolean equals(Object obj) { if (obj instanceof PEdge) { PEdge other = (PEdge) obj; - return (other.a.equals(a) && other.b.equals(b)) || (other.a.equals(b) && other.b.equals(a)); + return (equals(a, other.a) && equals(b, other.b)) || (equals(b, other.a) && equals(a, other.b)); } return false; } @@ -78,4 +78,8 @@ public PEdge copy() { public String toString() { return a.toString() + " <-> " + b.toString(); } + + private static boolean equals(PVector a, PVector b) { + return a.x == b.x && a.y == b.y; + } } \ No newline at end of file From cbc02999b31c08d6bce943c182bcaaabf8688ac0 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Wed, 12 Apr 2023 22:30:32 +0100 Subject: [PATCH 47/88] add boundary arg to largestEmptyCircle --- pom.xml | 4 +- .../java/micycle/pgs/PGS_Optimisation.java | 45 ++++++++++++++++++- 2 files changed, 46 insertions(+), 3 deletions(-) diff --git a/pom.xml b/pom.xml index 69d63732..a32d5a07 100644 --- a/pom.xml +++ b/pom.xml @@ -95,7 +95,7 @@ org.apache.maven.plugins maven-shade-plugin - 3.4.0 + 3.4.1 false true @@ -300,7 +300,7 @@ it.unimi.dsi fastutil - 8.5.8 + 8.5.12 net.jafama diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index c0f59e62..5075b498 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -39,6 +39,7 @@ import micycle.pgs.commons.MaximumInscribedRectangle; import micycle.pgs.commons.MinimumBoundingEllipse; import micycle.pgs.commons.MinimumBoundingTriangle; +import micycle.pgs.commons.Nullable; import micycle.pgs.commons.VisibilityPolygon; import processing.core.PShape; import processing.core.PVector; @@ -314,8 +315,50 @@ public static PShape minimumDiameter(PShape shape) { * @param tolerance the distance tolerance for computing the circle center point * @return */ + + /** + * Computes the largest empty circle that does not intersect any obstacles (up + * to a specified tolerance). + *

+ * Valid obstacles are point and line shapes (such as a POINTS + * PShape). + *

+ * The circle center lies within the interior of the convex hull of the + * obstacles. + * + * @param obstacles A PShape representing the obstacles. + * @param boundary A PShape representing the polygonal boundary, or null if + * there is no boundary constraint. + * @param tolerance A double representing the tolerance for the circle + * computation. + * @return A PShape representing the largest empty circle that does not + * intersect the obstacles and lies within the specified boundary. + */ public static PShape largestEmptyCircle(PShape obstacles, double tolerance) { - LargestEmptyCircle lec = new LargestEmptyCircle(fromPShape(obstacles), Math.max(0.01, tolerance)); + return largestEmptyCircle(obstacles, null, tolerance); + } + + /** + * Computes the largest empty circle that does not intersect any obstacles and + * lies within the specified boundary (up to a specified tolerance). + *

+ * Valid obstacles are point and line shapes (such as a POINTS + * PShape). + *

+ * The circle center is the point in the interior of the boundary which has the + * farthest distance from the obstacles (up to the tolerance). + * + * @param obstacles A PShape representing the obstacles. + * @param boundary A PShape representing the polygonal boundary, or null if + * there is no boundary constraint. + * @param tolerance A double representing the tolerance for the circle + * computation. + * @return A PShape representing the largest empty circle that does not + * intersect the obstacles and lies within the specified boundary. + */ + public static PShape largestEmptyCircle(PShape obstacles, @Nullable PShape boundary, double tolerance) { + LargestEmptyCircle lec = new LargestEmptyCircle(fromPShape(obstacles), boundary == null ? null : fromPShape(boundary), + Math.max(0.01, tolerance)); double wh = lec.getRadiusLine().getLength() * 2; Polygon circle = createEllipse(PGS.coordFromPoint(lec.getCenter()), wh, wh); return toPShape(circle); From b5d08540fd1c8c656340d44b0ac1511cb552dbff Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Wed, 12 Apr 2023 23:02:43 +0100 Subject: [PATCH 48/88] add segmentset fromPShape() and stretch() --- CHANGELOG.md | 2 + src/main/java/micycle/pgs/PGS_SegmentSet.java | 56 ++++++++++++++++++- 2 files changed, 57 insertions(+), 1 deletion(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 4c67bcaf..295f9f89 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -40,6 +40,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `stochasticMerge()` to `PGS_Meshing`. Randomly merges together adjacent faces of a mesh. * `simplifyMesh()` to `PGS_Meshing`. Simplifies the boundaries of the faces in a mesh while preserving the original mesh topology. * `toCircles()` to `PGS_Conversion`. Creates a PShape having circle geometries representing a collection of circles. +* `fromPShape()` to `PGS_SegmentSet`. Extracts a list of unique PEdge segments representing the given shape. +* `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/src/main/java/micycle/pgs/PGS_SegmentSet.java b/src/main/java/micycle/pgs/PGS_SegmentSet.java index 4f3451fb..4814d5ad 100644 --- a/src/main/java/micycle/pgs/PGS_SegmentSet.java +++ b/src/main/java/micycle/pgs/PGS_SegmentSet.java @@ -2,7 +2,9 @@ import java.util.ArrayList; import java.util.Collection; +import java.util.HashSet; import java.util.List; +import java.util.Set; import java.util.SplittableRandom; import java.util.stream.Collectors; @@ -380,6 +382,58 @@ public static PShape toPShape(Collection segments, @Nullable Integer stro return lines; } + /** + * Extracts a list of unique PEdge segments representing the given shape. + *

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zr7OPbiQl3}^}=m!xMpoBW<99e9(G?goQ=Qu1{L`4J3qZ+ZHs3J_kol@Yn26+7Kdg& z(0=^{Uj)n{P|7}BUC>*HJyOEC0i<0nA)0&Jf%DU7 generateRandomGridPoints(PShape shape, int maxPoints return vertices; } + /** + * Creates a nested shape having n levels of inner polygons; each inner polygon + * is obtained by joining the points at some fractional distance r + * along each side of the previous polygon. + *

+ * This is also called a "derived polygon". + * + * @param shape a PShape representing the single input polygon for which the + * nested shape will be created. Although all polygon types are + * compatible, simpler/convex polygons make for a more effective + * result. + * @param n the number of nested levels to be created inside the input + * shape. + * @param r fractional distance between each nested level of polygons, where + * 0.5 produces maximal nesting. + * @return A PShape representing the nested shape, including the input shape and + * all the nested levels. + * @since 1.3.1 + */ + public static PShape nest(PShape shape, int n, double r) { + final Polygon polygon = (Polygon) fromPShape(shape); + + if (r != 1) { + r %= 1; + } + final Polygon[] derivedPolygons = new Polygon[n + 1]; + derivedPolygons[0] = polygon; + Polygon currentPolygon = polygon; + + for (int i = 0; i < n; i++) { + Coordinate[] inputCoordinates = currentPolygon.getCoordinates(); + int numVertices = inputCoordinates.length - 1; + + Coordinate[] derivedCoordinates = new Coordinate[numVertices + 1]; + + for (int k = 0; k < numVertices; k++) { + double x = inputCoordinates[k].x * (1 - r) + inputCoordinates[(k + 1) % numVertices].x * r; + double y = inputCoordinates[k].y * (1 - r) + inputCoordinates[(k + 1) % numVertices].y * r; + derivedCoordinates[k] = new Coordinate(x, y); + } + derivedCoordinates[numVertices] = derivedCoordinates[0]; // close the ring + + Polygon derivedPolygon = PGS.GEOM_FACTORY.createPolygon(derivedCoordinates); + + derivedPolygons[i + 1] = derivedPolygon; + currentPolygon = derivedPolygon; + } + + return toPShape(GEOM_FACTORY.createMultiPolygon(derivedPolygons)); + } + /** * Removes overlap between polygons contained in a GROUP shape, preserving only * line segments that are visible to a human, rather than a computer (to use as From fdb89fccbd22f7d23fbc0609daf195d83e46f9d0 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 22 Apr 2023 16:14:15 +0100 Subject: [PATCH 50/88] add largestEmptyCircles --- CHANGELOG.md | 2 + README.md | 10 +- resources/optimisation/lecs.gif | Bin 0 -> 496657 bytes .../java/micycle/pgs/PGS_CirclePacking.java | 7 +- .../java/micycle/pgs/PGS_Optimisation.java | 42 +- .../pgs/commons/LargestEmptyCircles.java | 406 ++++++++++++++++++ .../pgs/commons/MaximumInscribedCircles.java | 304 ------------- 7 files changed, 456 insertions(+), 315 deletions(-) create mode 100644 resources/optimisation/lecs.gif create mode 100644 src/main/java/micycle/pgs/commons/LargestEmptyCircles.java delete mode 100644 src/main/java/micycle/pgs/commons/MaximumInscribedCircles.java diff --git a/CHANGELOG.md b/CHANGELOG.md index a3c81f0e..3fba3f60 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -43,6 +43,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `fromPShape()` to `PGS_SegmentSet`. Extracts a list of unique PEdge segments representing the given shape. * `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. * `nest()` to `PGS_Processing`. Creates a nested shape having n levels of inner polygons. +* `largestEmptyCircles()` to `PGS_Optimisation`. Finds the N largest empty circles amongst a set of obstacle geometries within a boundary. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). @@ -59,6 +60,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Improved robustness of `PGS_ShapePredicates.maximumInteriorAngle()`. * The 4 simple `PGS_ShapeBoolean` methods now preserve the style of input shape `a` in their output. * `PGS_createRandomPolygon` can now accept a random seed. +* Reimplemented `PGS_CirclePacking.maximumInscribedPack()`. New algorithm is faster, particularly so on higher circle counts. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/README.md b/README.md index 6bebfdb8..285b7482 100644 --- a/README.md +++ b/README.md @@ -578,33 +578,35 @@ Much of the functionality (but by no means all) is demonstrated below: Largest Empty Circle - Closest Vertex + Largest Empty Circles Closest Point Pair Farthest Point Pair - + + Closest Vertex Circle Covering Rectangle Bin Pack - Hilbert Sort Faces + - + Hilbert Sort Faces Visibility Polygon / Isovist + diff --git a/resources/optimisation/lecs.gif b/resources/optimisation/lecs.gif new file mode 100644 index 0000000000000000000000000000000000000000..974a7be049fd620e6b2ea90c0166100588ddd70f GIT binary patch literal 496657 zcmcF~4v3|66uysk)^vq5CK7HK@mj2 z*ysN4{U7dmG4poLt21*xXEe1nWMm)x1pNeU0sjLZ1A_t&k0u$J1PH`WL?k37WvZ_3 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zn!uIpV2CNGB>v~o_Ix@*HwMbB8u;BgPgT)T`V1mZ$M6rPoA)(Gmt38*;_PHT7E|Bv zaNqae^f%lFKE~i7~nq2b@oHFw2Txp>y3)cVrb2@ z@ frontChainPack(PShape shape, double radiusMin, doubl * the center point and .z represents radius. */ public static List maximumInscribedPack(PShape shape, int n, double tolerance) { - MaximumInscribedCircles mics = new MaximumInscribedCircles(fromPShape(shape), tolerance); + tolerance = Math.max(0.01, tolerance); + LargestEmptyCircles mics = new LargestEmptyCircles(fromPShape(shape), null, tolerance); final List out = new ArrayList<>(); for (int i = 0; i < n; i++) { - double[] c = mics.getNextLargestCircle(); + double[] c = mics.findNextLEC(); out.add(new PVector((float) c[0], (float) c[1], (float) c[2])); } diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 5075b498..86db65b1 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -35,6 +35,7 @@ import micycle.pgs.color.RGB; import micycle.pgs.commons.ClosestPointPair; import micycle.pgs.commons.FarthestPointPair; +import micycle.pgs.commons.LargestEmptyCircles; import micycle.pgs.commons.MaximumInscribedAARectangle; import micycle.pgs.commons.MaximumInscribedRectangle; import micycle.pgs.commons.MinimumBoundingEllipse; @@ -320,8 +321,7 @@ public static PShape minimumDiameter(PShape shape) { * Computes the largest empty circle that does not intersect any obstacles (up * to a specified tolerance). *

- * Valid obstacles are point and line shapes (such as a POINTS - * PShape). + * Valid obstacles are point, line or polygonal shapes. *

* The circle center lies within the interior of the convex hull of the * obstacles. @@ -342,8 +342,7 @@ public static PShape largestEmptyCircle(PShape obstacles, double tolerance) { * Computes the largest empty circle that does not intersect any obstacles and * lies within the specified boundary (up to a specified tolerance). *

- * Valid obstacles are point and line shapes (such as a POINTS - * PShape). + * Valid obstacles are point, line or polygonal shapes. *

* The circle center is the point in the interior of the boundary which has the * farthest distance from the obstacles (up to the tolerance). @@ -364,6 +363,41 @@ public static PShape largestEmptyCircle(PShape obstacles, @Nullable PShape bound return toPShape(circle); } + /** + * Computes the {@code n} largest empty circles that do not intersect any + * obstacles (nor each other) within an optional {@code boundary}. + *

+ * The empty circles are found with a specified {@code tolerance} value, which + * limits the precision of the computation. + *

+ * Valid obstacles are point, line or polygonal shapes. + * + * @param obstacles PShape containing the obstacles in the 2D space + * @param boundary polygonal PShape defining the boundary of the space, or + * {@code null} if no boundary is defined (in which case the + * convex hull of obstacles is used as boundary). + * @param n the number of largest empty circles to find + * @param tolerance the tolerance value for the computation + * @return a list of {@code PVector} objects representing the centers and radii + * of the found largest empty circles as {@code PVector(x, y, r)}, where + * {@code x} and {@code y} are the center coordinates, and {@code r} is + * the radius + * @since 1.3.1 + */ + public static List largestEmptyCircles(PShape obstacles, @Nullable PShape boundary, int n, double tolerance) { + tolerance = Math.max(0.01, tolerance); + LargestEmptyCircles lecs = new LargestEmptyCircles(obstacles == null ? null : fromPShape(obstacles), + boundary == null ? null : fromPShape(boundary), tolerance); + + final List out = new ArrayList<>(); + for (int i = 0; i < n; i++) { + double[] c = lecs.findNextLEC(); + out.add(new PVector((float) c[0], (float) c[1], (float) c[2])); + } + + return out; + } + /** * Covers a polygon with n circles such that no circle’s center lies outside the * polygon. Circles will generally cover most of the shape and have some mutual diff --git a/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java b/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java new file mode 100644 index 00000000..63e3874d --- /dev/null +++ b/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java @@ -0,0 +1,406 @@ +package micycle.pgs.commons; + +import java.util.ArrayList; +import java.util.Collection; +import java.util.LinkedList; +import java.util.List; + +import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; +import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.Envelope; +import org.locationtech.jts.geom.Geometry; +import org.locationtech.jts.geom.GeometryFactory; +import org.locationtech.jts.geom.Location; +import org.locationtech.jts.geom.Point; +import org.locationtech.jts.geom.Polygonal; +import org.locationtech.jts.operation.distance.IndexedFacetDistance; + +/** + * Adapts {@link org.locationtech.jts.algorithm.construct.LargestEmptyCircle + * LargestEmptyCircle}, allowing for repeated calls to find the N largest empty + * circles in an optimised manner. + *

+ * In this adaptation circle circumferences are constrained to lie within the + * boundary (originally only circle center points must lie within the boundary). + * This adaption also supports polygonal obstacles; if a boundary is given, + * circles will not lie within the polygonal obstacles. + * + * @author Martin Davis + * @author Michael Carleton + */ +public class LargestEmptyCircles { + + private final Geometry obstacles; + private final Geometry boundary; + private final double tolerance; + + private final GeometryFactory factory; + private IndexedPointInAreaLocator obstaclesPointLocator; // when obstacles are polygonal + private IndexedPointInAreaLocator boundsPointLocator; + private IndexedFacetDistance obstacleDistance; + private IndexedFacetDistance boundaryDistance; + private Envelope gridEnv; + private Cell farthestCell; + + // Priority queue of cells, ordered by decreasing distance from constraints + private LinkedList cellQueue = new LinkedList<>(); + private List nextIterCells = new ArrayList<>(); + private List circles = new ArrayList<>(); + + /** + * Constructs a new Largest Empty Circles (LEC) instance, ensuring that the + * circles are interior-disjoint to a set of obstacle geometries and (optional) + * contained within a polygonal boundary. + *

+ *

  • If the provided boundary is null and obstacles are linear/pointal, the + * convex hull of the obstacles is used as the boundary.
  • + *
  • If the provided boundary is null and obstacles are polygonal, the + * obstacles themselves form the boundary (effectively function as a "Maximum + * Inscribed Circles" algorithm.).
  • + * + * @param obstacles geometry representing the obstacles; if null, the boundary + * is used instead + * @param boundary a polygonal geometry (may be null) + * @param tolerance a positive distance tolerance for computing the circle + * center point + * @throws IllegalArgumentException if the obstacles geometry or the tolerance + * is non-positive + */ + public LargestEmptyCircles(Geometry obstacles, Geometry boundary, double tolerance) { + if (obstacles == null || obstacles.isEmpty()) { + throw new IllegalArgumentException("Obstacles geometry is null or empty."); + } + if (boundary != null && !(boundary instanceof Polygonal)) { + throw new IllegalArgumentException("A non-null boundary must be polygonal."); + } + if (tolerance <= 0) { + throw new IllegalArgumentException("Accuracy tolerance is non-positive: " + tolerance); + } + this.tolerance = tolerance; + + if (obstacles instanceof Polygonal && boundary != null) { + // used to exclude circle from lying within the obstacles + obstaclesPointLocator = new IndexedPointInAreaLocator(obstacles); + } + /* + * If no boundary given, use convex hull of obstacles as boundary. + */ + if (boundary == null || boundary.isEmpty()) { + if (obstacles instanceof Polygonal) { + boundary = obstacles; + } else { + boundary = obstacles.convexHull(); + } + } + + this.obstacles = obstacles; + this.boundary = boundary; + this.factory = obstacles.getFactory(); + + /* + * Circle *radii* will always be bounded by the boundary (in the JTS + * implementation, only circle center points must lie within the boundary). + */ + final Geometry distGeom = obstacles.getFactory().createGeometryCollection(new Geometry[] { obstacles, boundary }); + obstacleDistance = new IndexedFacetDistance(distGeom); + + } + + private void initBoundary() { + gridEnv = boundary.getEnvelopeInternal(); + // if bounds does not enclose an area cannot create a boundsPointLocator + if (boundary.getDimension() >= 2) { + boundsPointLocator = new IndexedPointInAreaLocator(boundary); + boundaryDistance = new IndexedFacetDistance(boundary); + } + + createInitialGrid(gridEnv, cellQueue); + } + + /** + * Computes the signed distance from a point to the constraints (obstacles and + * boundary). Points outside the boundary polygon are assigned a negative + * distance. Their containing cells will be last in the priority queue (but will + * still end up being tested since they may be refined). + * + * @param p the point to compute the distance for + * @return the signed distance to the constraints (negative indicates outside + * the boundary) + */ + private double distanceToConstraints(Point p) { + Coordinate c = p.getCoordinate(); + boolean isOutsideBounds = boundsPointLocator.locate(c) == Location.EXTERIOR; + if (isOutsideBounds) { + double boundaryDist = boundaryDistance.distance(p); + return -boundaryDist; + } + double dist = obstacleDistance.distance(p); + + /* + * If obstacles are polygonal, ensure circles do not lie within their interior. + * Only applies when the given boundary is not null. + */ + if (obstaclesPointLocator != null && (obstaclesPointLocator.locate(c) == Location.INTERIOR)) { + dist = -dist; + } + return dist; + } + + private double distanceToConstraints(double x, double y) { + Coordinate coord = new Coordinate(x, y); + Point pt = factory.createPoint(coord); + return distanceToConstraints(pt); + } + + /** + * Computes the (next) N largest empty circles. + * + * @param n number of circles + * @return array of circles; each circle is represented as: [x,y,r] + */ + public double[][] findLECs(int n) { + double[][] lecs = new double[n][3]; + for (int i = 0; i < n; i++) { + lecs[i] = findNextLEC(); + } + return lecs; + } + + /** + * Computes the next largest empty circle. + * + * @return an array representing the circle: [x,y,r] + */ + public double[] findNextLEC() { + + double farthestD; + if (gridEnv == null) { // first iteration + initBoundary(); + // use the area centroid as the initial candidate center point + farthestCell = createCentroidCell(obstacles); + farthestD = farthestCell.getDistance(); + } else { + nextIterCells.forEach(c -> c.updateDistance(circles.get(circles.size() - 1))); + cellQueue = new LinkedList<>(nextIterCells); + nextIterCells.clear(); + farthestD = Double.MIN_VALUE; + } + + /* + * Carry out the branch-and-bound search of the cell space. + */ + while (!cellQueue.isEmpty()) { + // pick the cell with greatest distance from the queue + Cell cell = cellQueue.removeLast(); + + // update the center cell if the candidate is further from the constraints + if (cell.getDistance() > farthestD) { + farthestCell = cell; + farthestD = farthestCell.getDistance(); + } + + /* + * If this cell may contain a better approximation to the center of the empty + * circle, then refine it (partition into subcells which are added into the + * queue for further processing). Otherwise the cell is pruned (not investigated + * further), since no point in it can be further than the current farthest + * distance. + */ + if (!cell.isFullyOutside()) { + /* + * The cell is outside, but overlaps the boundary so it may contain a point + * which should be checked. This is only the case if the potential overlap + * distance is larger than the tolerance. + */ + if (cell.isOutside()) { + boolean isOverlapSignificant = cell.getMaxDistance() > tolerance; + if (isOverlapSignificant) { + enqueueChildren(cell); + } + } else { + /* + * Cell is inside the boundary. It may contain the center if the maximum + * possible distance is greater than the current distance (up to tolerance). + */ + double potentialIncrease = cell.getMaxDistance() - farthestCell.getDistance(); + if (potentialIncrease > tolerance) { + enqueueChildren(cell); + } else { + nextIterCells.add(cell); + } + } + } + } + // the farthest cell is the best approximation to the LEC center + final Cell lecCell = farthestCell; + final double r = lecCell.distance; + final double[] circle = new double[] { lecCell.getX(), lecCell.getY(), r }; + circles.add(circle); + + return circle; + } + + // split the cell into four sub-cells + private void enqueueChildren(final Cell cell) { + final double h2 = cell.getHSide() / 2; + + cellQueue.add(createCell(cell.x - h2, cell.y - h2, h2)); + cellQueue.add(createCell(cell.x + h2, cell.y - h2, h2)); + cellQueue.add(createCell(cell.x - h2, cell.y + h2, h2)); + cellQueue.add(createCell(cell.x + h2, cell.y + h2, h2)); + } + + /** + * Initializes the queue with a grid of cells covering the extent of the area. + * + * @param env the area extent to cover + * @param cellQueue the queue to initialize + */ + private void createInitialGrid(Envelope env, Collection cellQueue) { + double minX = env.getMinX(); + double maxX = env.getMaxX(); + double minY = env.getMinY(); + double maxY = env.getMaxY(); + double width = env.getWidth(); + double height = env.getHeight(); + double cellSize = Math.min(width, height); + double hSize = cellSize / 2.0; + + // compute initial grid of cells to cover area + for (double x = minX; x < maxX; x += cellSize) { + for (double y = minY; y < maxY; y += cellSize) { + cellQueue.add(createCell(x + hSize, y + hSize, hSize)); + } + } + } + + private Cell createCell(final double x, final double y, final double h) { + Cell c = new Cell(x, y, h, distanceToConstraints(x, y)); + c.updateDistance(circles); + return c; + } + + // create a cell centered on area centroid + private Cell createCentroidCell(Geometry geom) { + Point p = geom.getCentroid(); + return new Cell(p.getX(), p.getY(), 0, distanceToConstraints(p)); + } + + /** + * A square grid cell centered on a given point with a given side half-length, + * and having a given distance from the center point to the constraints. The + * maximum possible distance from any point in the cell to the constraints can + * be computed. This is used as the ordering and upper-bound function in the + * branch-and-bound algorithm. + */ + private static class Cell implements Comparable { + + private static final double SQRT2 = 1.4142135623730951; + + private double x; + private double y; + private double hSide; + private double distance; + private double maxDist; + + Cell(double x, double y, double hSide, double distanceToConstraints) { + this.x = x; // cell center x + this.y = y; // cell center y + this.hSide = hSide; // half the cell size + + // the distance from cell center to constraints + distance = distanceToConstraints; + + /* + * The maximum possible distance to the constraints for points in this cell is + * the center distance plus the radius (half the diagonal length). + */ + this.maxDist = distance + hSide * SQRT2; + } + + public void updateDistance(double[] c) { + double deltaX = x - c[0]; + double deltaY = y - c[1]; + // for now d is circle-cell-center dist + double d = Math.sqrt(deltaX * deltaX + deltaY * deltaY); + double r = c[2]; + + if (d < r) { + d = -(r - d); // negative (inside the circle) + } else { + // d is distance from cell center to circle boundary + d -= r; + } + + if (d < distance) { + distance = d; + maxDist = distance + hSide * SQRT2; + } + } + + /** + * Updates the distance of this cell based on circle constraints. Distance + * between circle boundary is used. + */ + public void updateDistance(List circles) { + double minCircleDist = Double.MAX_VALUE; + for (double[] c : circles) { + double deltaX = x - c[0]; + double deltaY = y - c[1]; + // for now d is circle-cell-center dist + double d = Math.sqrt(deltaX * deltaX + deltaY * deltaY); + double r = c[2]; + + if (d < r) { + d = -(r - d); // negative (inside the circle) + } else { + // d is distance from cell center to circle boundary + d -= r; + } + minCircleDist = Math.min(minCircleDist, d); + } + + if (minCircleDist < distance) { + distance = minCircleDist; + maxDist = distance + hSide * SQRT2; + } + } + + public boolean isFullyOutside() { + return getMaxDistance() < 0; + } + + public boolean isOutside() { + return distance < 0; + } + + public double getMaxDistance() { + return maxDist; + } + + public double getDistance() { + return distance; + } + + public double getHSide() { + return hSide; + } + + public double getX() { + return x; + } + + public double getY() { + return y; + } + + /** + * A cell is greater if its maximum distance is larger. + */ + @Override + public int compareTo(Cell o) { + return (int) (o.maxDist - this.maxDist); + } + } + +} diff --git a/src/main/java/micycle/pgs/commons/MaximumInscribedCircles.java b/src/main/java/micycle/pgs/commons/MaximumInscribedCircles.java deleted file mode 100644 index aedbe0a4..00000000 --- a/src/main/java/micycle/pgs/commons/MaximumInscribedCircles.java +++ /dev/null @@ -1,304 +0,0 @@ -package micycle.pgs.commons; - -import java.util.ArrayList; -import java.util.HashMap; -import java.util.Map; - -import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; -import org.locationtech.jts.geom.Coordinate; -import org.locationtech.jts.geom.Envelope; -import org.locationtech.jts.geom.Geometry; -import org.locationtech.jts.geom.GeometryFactory; -import org.locationtech.jts.geom.Location; -import org.locationtech.jts.geom.MultiPolygon; -import org.locationtech.jts.geom.Point; -import org.locationtech.jts.geom.Polygon; -import org.locationtech.jts.operation.distance.IndexedFacetDistance; -import org.tinspin.index.PointDistanceFunction; -import org.tinspin.index.PointEntryDist; -import org.tinspin.index.PointIndex; -import org.tinspin.index.covertree.CoverTree; - -import it.unimi.dsi.fastutil.objects.ObjectHeapPriorityQueue; -import processing.core.PVector; - -/** - * An bespoke version of - * {@link org.locationtech.jts.algorithm.construct.MaximumInscribedCircle - * MaximumInscribedCircle} to find N largest maximum inscribed circles in an - * optimised manner. - * - * @author Michael Carleton - * - */ -public class MaximumInscribedCircles { - - private static final boolean USE_TREE = false; - - private final Geometry inputGeom; - private final double tolerance; - - private GeometryFactory factory; - private IndexedPointInAreaLocator ptLocater; - private IndexedFacetDistance indexedDistance; - private final Point centroid; - private final PointIndex tree = CoverTree.create(3, 2, circleDistanceMetric); - private final ArrayList circles = new ArrayList<>(); - - private double maxCircleRadius = 0; - - private final Map distanceCache; - - /** - * Creates a new instance of a Maximum Inscribed Circles computation. - * - * @param polygonal an areal geometry - * @param tolerance the distance tolerance for computing centre points (must be - * positive) - * @throws IllegalArgumentException if the tolerance is non-positive, or the - * input geometry is non-polygonal or empty. - */ - public MaximumInscribedCircles(Geometry polygonal, double tolerance) { - if (tolerance <= 0) { - throw new IllegalArgumentException("Tolerance must be positive"); - } - if (!(polygonal instanceof Polygon || polygonal instanceof MultiPolygon)) { - throw new IllegalArgumentException("Input geometry must be a Polygon or MultiPolygon"); - } - if (polygonal.isEmpty()) { - throw new IllegalArgumentException("Empty input geometry is not supported"); - } - - this.inputGeom = polygonal; - this.centroid = polygonal.getCentroid(); - this.factory = polygonal.getFactory(); - this.tolerance = tolerance; - ptLocater = new IndexedPointInAreaLocator(polygonal); - indexedDistance = new IndexedFacetDistance(polygonal.getBoundary()); - distanceCache = new HashMap<>(); - } - - /** - * Get the next largest MIC. - * - * @return - */ - public double[] getNextLargestCircle() { - return compute(); - } - - private double[] compute() { - // Priority queue of cells, ordered by maximum distance from boundary - ObjectHeapPriorityQueue cellQueue = new ObjectHeapPriorityQueue<>(); - /* - * TODO optimise this -- rather than recreating grid each time, prune, update - * then use grid cells from previous iteration. Prunes if they lie inside the - * last circle placed. - */ - createInitialGrid(inputGeom.getEnvelopeInternal(), cellQueue); - // use the area centroid as the initial candidate center point - Cell farthestCell = createCentroidCell(); - - /* - * Carry out the branch-and-bound search of the cell space - */ - while (!cellQueue.isEmpty()) { - // pick the most promising cell from the queue - final Cell cell = cellQueue.dequeue(); - - // update the center cell if the candidate is further from the boundary - if (cell.getDistance() > farthestCell.getDistance()) { - farthestCell = cell; - } - /* - * Refine this cell if the potential distance improvement is greater than the - * required tolerance. Otherwise the cell is pruned (not investigated further), - * since no point in it is further than the current farthest distance. - */ - double potentialIncrease = cell.getMaxDistance() - farthestCell.getDistance(); - if (potentialIncrease > tolerance) { - // split the cell into four sub-cells - double h2 = cell.getHSide() / 2; - cellQueue.enqueue(createCell(cell.getX() - h2, cell.getY() - h2, h2)); - cellQueue.enqueue(createCell(cell.getX() + h2, cell.getY() - h2, h2)); - cellQueue.enqueue(createCell(cell.getX() - h2, cell.getY() + h2, h2)); - cellQueue.enqueue(createCell(cell.getX() + h2, cell.getY() + h2, h2)); - } - } - // the farthest cell is the best approximation to the MIC center - Cell centerCell = farthestCell; - maxCircleRadius = Math.max(maxCircleRadius, farthestCell.getDistance()); - if (USE_TREE) { - tree.insert(new double[] { centerCell.getX(), centerCell.getY(), farthestCell.getDistance() }, - new Coordinate(centerCell.getX(), centerCell.getY())); - } else { - circles.add(new PVector((float) centerCell.getX(), (float) centerCell.getY(), (float) farthestCell.getDistance())); - } - - return new double[] { centerCell.getX(), centerCell.getY(), farthestCell.getDistance() }; - } - - /** - * Initializes the queue with a grid of cells covering the extent of the area. - * - * @param env the area extent to cover - * @param cellQueue the queue to initialize - */ - private void createInitialGrid(Envelope env, ObjectHeapPriorityQueue cellQueue) { - double minX = env.getMinX(); - double maxX = env.getMaxX(); - double minY = env.getMinY(); - double maxY = env.getMaxY(); - double width = env.getWidth(); - double height = env.getHeight(); - double cellSize = Math.min(width, height); - - // Check for flat collapsed input and if so short-circuit - // Result will just be centroid - if (cellSize == 0) { - return; - } - - final double hSide = cellSize / 2.0; - // compute initial grid of cells to cover area - for (double x = minX; x < maxX; x += cellSize) { - for (double y = minY; y < maxY; y += cellSize) { - cellQueue.enqueue(createCell(x + hSide, y + hSide, hSide)); - } - } - } - - private double distanceToBoundary(double x, double y) { - Coordinate coord = new Coordinate(x, y); - return distanceToBoundary(coord); - } - - /** - * Computes the signed distance from a point to the area boundary or the - * perimeter of the nearest existing MIC (whichever is smallest). - *

    - * Points outside the polygon are assigned a negative distance. Their containing - * cells will be last in the priority queue (but may still end up being tested - * since they may need to be refined). - * - * @param coord the point to compute the distance for - * @return the signed distance to the area boundary (negative indicates outside - * the area) - */ - private double distanceToBoundary(Coordinate coord) { - double boundaryDist = distanceCache.computeIfAbsent(coord, c -> { - final double d = indexedDistance.distance(factory.createPoint(coord)); - final boolean isOutide = Location.EXTERIOR == ptLocater.locate(coord); - return isOutide ? -d : d; - }); - if (boundaryDist < 0) { - return boundaryDist; - } - - /* - * Brute-force (above) appears to be faster than cover tree query (probably - * because circle count is fairly low. - */ - if (USE_TREE) { - final PointEntryDist query = tree.query1NN(new double[] { coord.getX(), coord.getY(), maxCircleRadius }); - if (tree.getNodeCount() == 0) { - return boundaryDist; - } - - final double circleRadius = query.point()[2]; - final double distance = query.value().distance(coord); - if (distance < circleRadius) { - return -(circleRadius - distance); - } - - return Math.min(boundaryDist, query.dist() - maxCircleRadius); - } else { - final PVector q = new PVector((float) coord.getX(), (float) coord.getY()); // query - double dist = boundaryDist; - for (PVector c : circles) { - q.z = c.z; // so dist isnt affected - if (q.dist(c) < c.z) { // inside - return -(c.z - q.dist(c)); // dist to circle edge - } - dist = Math.min(dist, q.dist(c) - c.z); - } - return dist; - } - } - - private Cell createCell(double x, double y, double hSide) { - return new Cell(x, y, hSide, distanceToBoundary(x, y)); - } - - // create a cell centered on area centroid - private Cell createCentroidCell() { - return new Cell(centroid.getX(), centroid.getY(), 0, distanceToBoundary(centroid.getCoordinate())); - } - - /** - * A square grid cell centered on a given point, with a given half-side size, - * and having a given distance to the area boundary. The maximum possible - * distance from any point in the cell to the boundary can be computed, and is - * used as the ordering and upper-bound function in the branch-and-bound - * algorithm. - * - */ - private static class Cell implements Comparable { - - private static final double SQRT2 = 1.4142135623730951; - - private double x; - private double y; - private double hSide; - private double distance; - private double maxDist; - - Cell(double x, double y, double hSide, double distanceToBoundary) { - this.x = x; // cell center x - this.y = y; // cell center y - this.hSide = hSide; // half the cell size - - // the distance from cell center to area boundary - distance = distanceToBoundary; - - // the maximum possible distance to area boundary for points in this cell - this.maxDist = distance + hSide * SQRT2; - } - - public double getMaxDistance() { - return maxDist; - } - - public double getDistance() { - return distance; - } - - public double getHSide() { - return hSide; - } - - public double getX() { - return x; - } - - public double getY() { - return y; - } - - /** - * A cell is greater if its maximum possible distance is larger. - */ - @Override - public int compareTo(Cell o) { - return Double.compare(o.maxDist, this.maxDist); - } - - } - - private static final PointDistanceFunction circleDistanceMetric = (p1, p2) -> { - final double dx = p1[0] - p2[0]; - final double dy = p1[1] - p2[1]; - return Math.sqrt(dx * dx + dy * dy) + Math.abs(p1[2] - p2[2]); - }; - -} From b3d10d372d4e058b7e823365aa7f2dfa30cf41e7 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 22 Apr 2023 16:16:23 +0100 Subject: [PATCH 51/88] circlepacking javadocs --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_CirclePacking.java | 166 ++++++++++++------ 2 files changed, 114 insertions(+), 53 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 3fba3f60..e26e80d6 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -44,6 +44,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. * `nest()` to `PGS_Processing`. Creates a nested shape having n levels of inner polygons. * `largestEmptyCircles()` to `PGS_Optimisation`. Finds the N largest empty circles amongst a set of obstacle geometries within a boundary. +* Additional method signature for `PGS_CirclePacking.maximumInscribedPack()` that accepts a minimum radius threshold. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/src/main/java/micycle/pgs/PGS_CirclePacking.java b/src/main/java/micycle/pgs/PGS_CirclePacking.java index b1a103b3..9c30eaef 100644 --- a/src/main/java/micycle/pgs/PGS_CirclePacking.java +++ b/src/main/java/micycle/pgs/PGS_CirclePacking.java @@ -120,35 +120,40 @@ public static List stochasticPack(final PShape shape, final int points, } /** - * Generates a random (seeded) circle packing of the input shape by generating - * random points one-by-one and calculating the maximum radius a circle at each - * point can have (such that it's tangent to its nearest circle or a shape - * vertex). + * + * Generates a seeded random circle packing within the input shape. Circles are + * created one-by-one by generating random points and calculating the maximum + * possible radius for a circle at each point, ensuring it is tangent to its + * nearest circle or shape vertex. *

    - * Notably, the {@code points} argument defines the number of random point - * attempts (or circle attempts), and not the number of circles in the final - * packing output, since a point is rejected if it lies in an existing circle or - * whose nearest circle is less than minRadius distance away. In other words, - * {@code points} defines the maximum number of circles the packing can have; in - * practice, the packing will contain somewhat fewer circles. + * The {@code points} parameter defines the number of random point attempts (or + * circle attempts), but not the exact number of circles in the final packing + * output. An attempted point is rejected if it lies within an existing circle + * or if its nearest circle is less than {@code minRadius} distance away. *

    - * Circles in this packing do not overlap and are contained entirely within the - * shape. However, not every circle is necessarily tangent to other circles (in - * which case, such a circle will be tangent to a shape vertex). + * Thus, {@code points} defines the maximum number of circles the packing can + * have; in practice, the packing will contain somewhat fewer circles. + *

    + * The generated circles in the packing do not overlap and are contained + * entirely within the shape. However, not every circle is necessarily tangent + * to other circles; such circles will be tangent to a shape vertex. * - * @param shape the shape from which to generate a circle packing - * @param points number of random points to generate (this is not the - * number of circles in the packing). - * @param minRadius filter (however not simply applied at the end, so - * affects how the packing operates during packing) - * @param triangulatePoints when true, triangulates an initial random point set + * @param shape the shape within which to generate the circle + * packing + * @param points number of random points to generate (not necessarily + * equal to the number of circles in the packing) + * @param minRadius minimum allowed radius for circles in the packing + * (affects packing generation, not applied as a filter + * at the end) + * @param triangulatePoints when true, triangulates the initial random point set * and uses triangle centroids as the random point set - * instead; this results in a packing that covers the - * shape more evenly (particularly when points is - * small), which is sometimes desirable - * @param seed random seed used to initialise underlying generator + * instead; results in a more evenly distributed + * packing (particularly when the number of points is + * small), which may be desirable + * @param seed random seed used to initialize the underlying random + * number generator * @return A list of PVectors, each representing one circle: (.x, .y) represent - * the center point and .z represents radius. + * the center point, and .z represents the radius. */ public static List stochasticPack(final PShape shape, final int points, final double minRadius, boolean triangulatePoints, long seed) { @@ -169,7 +174,7 @@ public static List stochasticPack(final PShape shape, final int points, Collections.shuffle(vertices); // shuffle vertices to reduce tree imbalance during insertion vertices.forEach(p -> tree.insert(new double[] { p.x, p.y, 0 }, p)); - /** + /* * "To find the circle nearest to a center (x, y), do a proximity search at (x, * y, R), where R is greater than or equal to the maximum radius of a circle." */ @@ -178,7 +183,7 @@ public static List stochasticPack(final PShape shape, final int points, for (PVector p : steinerPoints) { final PointEntryDist nn = tree.query1NN(new double[] { p.x, p.y, largestR }); // find nearest-neighbour circle - /** + /* * nn.dist() does not return the radius (since it's a distance metric used to * find nearest circle), so calculate maximum radius for candidate circle using * 2d euclidean distance between center points minus radius of nearest circle. @@ -197,16 +202,15 @@ public static List stochasticPack(final PShape shape, final int points, } /** - * Generates a random circle packing of tangental circles with varying radii - * that overlap the given shape. + * Generates a random circle packing of tangential circles with varying radii + * that overlap the given shape. The method name references the packing + * algorithm used (Front Chain Packing), rather than any particular + * characteristic of the circle packing. *

    - * The method name describes the name of the packing algorithm, rather than any - * particular characteristic of the circle packing. - *

    - * You may set radiusMin = radiusMax for a packing of equal-sized circles using - * this approach. - * - * @param shape the shape from which to generate a circle packing + * You can set radiusMin equal to radiusMax for a + * packing of equal-sized circles using this approach. + * + * @param shape the shape within which to generate the circle packing * @param radiusMin minimum radius of circles in the packing * @param radiusMax maximum radius of circles in the packing * @return A list of PVectors, each representing one circle: (.x, .y) represent @@ -249,19 +253,20 @@ public static List frontChainPack(PShape shape, double radiusMin, doubl } /** - * Generates a circle packing consisting of the N largest maximum inscribed - * circles, starting with the largest circle (the shape's global maximum - * inscribed circle). - * - * @param shape the shape from which to generate a circle packing - * @param n number of maximum inscribed circles to return, starting with - * the largest inscribed circle - * @param tolerance inscribed circle tolerance. A value of a 1 is recommended - * for a good result. Larger values decrease precision and may - * reduce how "maximum" each circle is (may also lead to a - * modest speedup) - * @return A list of PVectors, each representing one circle: (.x, .y) represent - * the center point and .z represents radius. + * Packs a specified number of maximum inscribed circles within the given shape + * using the Largest Empty Circle (LEC) algorithm. + *

    + * This method finds and returns the maximum inscribed circles up to the + * specified number (n), starting with the largest circle. It uses a tolerance + * value to control the accuracy of the LEC algorithm. + * + * @param shape The input shape to pack maximum inscribed circles within. + * @param n The number of maximum inscribed circles to find and pack. + * @param tolerance The tolerance value to control the LEC algorithm's accuracy. + * Higher values yield faster results but lower accuracy. A + * value of a 1 is good staring point. + * @return A list of PVector objects representing the centers (.x, .y) and radii + * (.z) of the maximum inscribed circles. */ public static List maximumInscribedPack(PShape shape, int n, double tolerance) { tolerance = Math.max(0.01, tolerance); @@ -276,6 +281,39 @@ public static List maximumInscribedPack(PShape shape, int n, double tol return out; } + /** + * Packs maximum inscribed circles within the given shape using the Largest + * Empty Circle (LEC) algorithm. + *

    + * This method finds and returns the maximum inscribed circles with a radius + * equal to or larger than the specified minimum radius. It uses a tolerance + * value to control the accuracy of the LEC algorithm. + * + * @param shape The input shape to pack maximum inscribed circles within. + * @param minRadius The minimum allowed radius for the inscribed circles. + * @param tolerance The tolerance value to control the LEC algorithm's accuracy. + * Higher values yield faster results but lower accuracy. A + * value of a 1 is good staring point. + * @return A list of PVector objects representing the centers (.x, .y) and radii + * (.z) of the maximum inscribed circles. + */ + public static List maximumInscribedPack(PShape shape, double minRadius, double tolerance) { + tolerance = Math.max(0.01, tolerance); + minRadius = Math.max(0.01, minRadius); + LargestEmptyCircles mics = new LargestEmptyCircles(fromPShape(shape), null, tolerance); + + final List out = new ArrayList<>(); + double[] currentLEC; + do { + currentLEC = mics.findNextLEC(); + if (currentLEC[2] >= minRadius) { + out.add(new PVector((float) currentLEC[0], (float) currentLEC[1], (float) currentLEC[2])); + } + } while (currentLEC[2] >= minRadius); + + return out; + } + /** * Generates a circle packing having a pattern of tangencies specified by a * triangulation. @@ -484,8 +522,10 @@ public static List hexLatticePack(PShape shape, double diameter) { final Geometry g = fromPShape(shape); final Envelope e = g.getEnvelopeInternal(); - // buffer the geometry to use InAreaLocator to test circles for overlap (this - // works because all circles have the same diameter) + /* + * Buffer the geometry to use InAreaLocator to test circles for overlap (this + * works because all circles have the same diameter). + */ final IndexedPointInAreaLocator pointLocator = new IndexedPointInAreaLocator(g.buffer(radius * 0.95)); final double w = e.getWidth() + diameter + e.getMinX(); final double h = e.getHeight() + diameter + e.getMinY(); @@ -542,13 +582,33 @@ private static PVector centroid(SimpleTriangle t) { } /** - * Reduce the 2D nearest circle problem to the 3D point problem using this - * distance metric. From https://stackoverflow.com/a/21975136/ + * Calculate the distance between two points in 3D space, where each point + * represents a circle with (x, y, r) coordinates. This custom metric considers + * both the Euclidean distance between the centers of the circles and the + * absolute difference of their radii. + *

    + * The metric is defined as follows: Given two points A and B, representing + * circles centered at (x1, y1) and (x2, y2) with radii r1 and r2 respectively, + * the distance is calculated as sqrt((x1 - x2)^2 + (y1 - y2)^2) + |r1 - r2|. + *

    + * This metric can be used to find the nearest circle to a given center (x, y) + * in a proximity search. To perform the search, use a point (x, y, R) where R + * is greater than or equal to the maximum radius of a circle in the proximity + * structure. + * + * @param p1 3D point representing the first circle (x1, y1, r1) + * @param p2 3D point representing the second circle (x2, y2, r2) + * @return the distance between the two points based on the custom metric */ private static final PointDistanceFunction circleDistanceMetric = (p1, p2) -> { + // from https://stackoverflow.com/a/21975136/ final double dx = p1[0] - p2[0]; final double dy = p1[1] - p2[1]; - return Math.sqrt(dx * dx + dy * dy) + Math.abs(p1[2] - p2[2]); // negative if inside + final double dz = p1[2] - p2[2]; + + double euclideanDistance = Math.sqrt(dx * dx + dy * dy); + double absZDifference = Math.abs(dz); + return euclideanDistance + absZDifference; // negative if inside }; /** From f3f608ef770d5a1ee1044b65c4a31adc4e4cb6d6 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 23 Apr 2023 09:14:51 +0100 Subject: [PATCH 52/88] add getPolygonInteriorSegments() --- CHANGELOG.md | 1 + README.md | 2 + resources/segment_set/interiorSegments.png | Bin 0 -> 399081 bytes src/main/java/micycle/pgs/PGS_SegmentSet.java | 81 ++++++++++++++++++ 4 files changed, 84 insertions(+) create mode 100644 resources/segment_set/interiorSegments.png diff --git a/CHANGELOG.md b/CHANGELOG.md index e26e80d6..15a83e82 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -45,6 +45,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `nest()` to `PGS_Processing`. Creates a nested shape having n levels of inner polygons. * `largestEmptyCircles()` to `PGS_Optimisation`. Finds the N largest empty circles amongst a set of obstacle geometries within a boundary. * Additional method signature for `PGS_CirclePacking.maximumInscribedPack()` that accepts a minimum radius threshold. +* `getPolygonInteriorSegments()` to `PGS_SegmentSet`. Retains line segments from the input shape if they are wholly contained within it. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 285b7482..14deac7e 100644 --- a/README.md +++ b/README.md @@ -832,9 +832,11 @@ Much of the functionality (but by no means all) is demonstrated below: Parallel + Polygon Interior Segments + diff --git a/resources/segment_set/interiorSegments.png b/resources/segment_set/interiorSegments.png new file mode 100644 index 0000000000000000000000000000000000000000..07cc1dc9ac2c178c65293836a34f94527cf2e670 GIT binary patch literal 399081 zcmbTd1yEey(k}|Z-QC?~aCdhN4uN5S!QCB#JA~j)u%N*`xCAFbg1fuxo&WjHck13( z_q|*1PSvj3(z|#!e~-hAu8tV2xtL4-NgmY>STt zO$T2bg*+B;F_|Ikw%@&aewgjF_bXFS9U*vYW5mN%au7;O>j&(cquR-IoipF1;3o+L z%_Nx5jDc3|Ucq*hP*4kl<0x-9up6%ekc<19Hg;3fDU=V{KIXK#ba>mLMqY*)7d?eC z!;U zrhpa-o9&FEdzWG|F);?dpbkpneBBQk%DojL4zFa8o_6@4 zz72m*PVORziiMs71*%t&Eue~$id`(WdT_xin=q5Gz6~%sYH!NCzR@%BIpXt=p5>Om zL3X9tP$%%vm@6%NLr?-`(3EeRM%uA3nC2gDh^~LY37V0hLqTESV#48%1XGuX;va+| 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zz|5a0UsQFW`_<&98D-30>KYFt#OlZ|`*uTCJ&O{R|ElY^iHbJ(^udy|j8}PqeK5gZ z(>$(_&7z10&}3rSo_1}bB>z{@|9ijxi2MHU ujepPodzt^Qhu`SmKmE^_{715#^qMx%YS->Nl~chD;L_1BxL2oUAN@aq!!`T> literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_SegmentSet.java b/src/main/java/micycle/pgs/PGS_SegmentSet.java index 4814d5ad..6e0879de 100644 --- a/src/main/java/micycle/pgs/PGS_SegmentSet.java +++ b/src/main/java/micycle/pgs/PGS_SegmentSet.java @@ -2,8 +2,10 @@ import java.util.ArrayList; import java.util.Collection; +import java.util.HashMap; import java.util.HashSet; import java.util.List; +import java.util.Map; import java.util.Set; import java.util.SplittableRandom; import java.util.stream.Collectors; @@ -12,10 +14,18 @@ import org.jgrapht.alg.matching.blossom.v5.KolmogorovWeightedPerfectMatching; import org.jgrapht.alg.matching.blossom.v5.ObjectiveSense; import org.jgrapht.graph.SimpleGraph; +import org.locationtech.jts.algorithm.RobustLineIntersector; +import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.LineSegment; +import org.locationtech.jts.geom.Location; +import org.locationtech.jts.noding.MCIndexSegmentSetMutualIntersector; import org.locationtech.jts.noding.NodedSegmentString; +import org.locationtech.jts.noding.SegmentIntersector; +import org.locationtech.jts.noding.SegmentSetMutualIntersector; import org.locationtech.jts.noding.SegmentString; +import org.locationtech.jts.noding.SegmentStringUtil; import org.tinfour.common.IIncrementalTin; import micycle.pgs.color.RGB; @@ -481,6 +491,57 @@ public static List filterAxisAligned(List segments, double angleDe return filtered; } + /** + * Retains line segments from the input shape if they are wholly contained + * within it. + * + * @param segments a list of line segments to check for containment within the + * shape + * @param shape the polygonal shape to check for interior segments + * @return a list of interior segments contained within the shape + * @since 1.3.1 + */ + public static List getPolygonInteriorSegments(List segments, PShape shape) { + Geometry g = PGS_Conversion.fromPShape(shape); + final Collection segmentStrings = SegmentStringUtil.extractBasicSegmentStrings(g); + final SegmentSetMutualIntersector mci = new MCIndexSegmentSetMutualIntersector(segmentStrings); + + Map map = new HashMap<>(segments.size()); + segments.forEach(e -> map.put(PGS.createSegmentString(e.a, e.b), e)); + + List interiorSegments = new ArrayList<>(); + IndexedPointInAreaLocator locator = new IndexedPointInAreaLocator(g); + RobustLineIntersector lineIntersector = new RobustLineIntersector(); + Set segSet = new HashSet<>(fromPEdges(segments)); + Set segSet2 = new HashSet<>(); + + mci.process(fromPEdges(segments), new SegmentIntersector() { + @Override + public void processIntersections(SegmentString e0, int segIndex0, SegmentString e1, int segIndex1) { + lineIntersector.computeIntersection(e0.getCoordinate(0), e0.getCoordinate(1), e1.getCoordinate(0), e1.getCoordinate(1)); + + if (lineIntersector.getIntersectionNum() > 0) { // no intersection -- either inside or outside + if (locator.locate(e0.getCoordinate(0)) != Location.EXTERIOR) { // one point is inside + interiorSegments.add(map.get(e1)); + } + } else { + segSet2.add(e0); + } + } + + @Override + public boolean isDone() { + return false; + } + }); + + segSet.removeAll(segSet2); + segSet.removeIf( + s -> locator.locate(s.getCoordinate(1)) == Location.EXTERIOR || locator.locate(s.getCoordinate(0)) == Location.EXTERIOR); + + return fromSegmentString(segSet); + } + private static List toPEdges(Collection segments) { List edges = new ArrayList<>(segments.size()); segments.forEach(s -> { @@ -491,6 +552,26 @@ private static List toPEdges(Collection segments) { return edges; } + private static List fromSegmentString(Collection segments) { + List edges = new ArrayList<>(segments.size()); + segments.forEach(s -> { + PEdge e = new PEdge(s.getCoordinate(0).x, s.getCoordinate(0).y, s.getCoordinate(1).x, s.getCoordinate(1).y); + edges.add(e); + }); + + return edges; + } + + private static List fromPEdges(List edges) { + List segments = new ArrayList<>(edges.size()); + edges.forEach(e -> { + SegmentString s = PGS.createSegmentString(e.a, e.b); + segments.add(s); + }); + + return segments; + } + private static boolean ccw(Coordinate A, Coordinate B, Coordinate C) { return (C.y - A.y) * (B.x - A.x) > (B.y - A.y) * (C.x - A.x); } From 6d5c07d8f49971f22e8208392789df7ffc32d703 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 5 May 2023 13:17:54 +0100 Subject: [PATCH 53/88] add minimumAreaRectangle() --- CHANGELOG.md | 7 ++- .../java/micycle/pgs/PGS_Optimisation.java | 52 ++++++++++--------- src/main/java/micycle/pgs/PGS_SegmentSet.java | 4 +- 3 files changed, 34 insertions(+), 29 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 15a83e82..924edf7e 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -5,7 +5,7 @@ All notable changes to PGS will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). Dates are *YYYY-MM-DD*. -## **1.3.1** *(2023-03-xx)* +## **1.3.1** *(2023-06-xx)* ### Added * `sobolLDS()` to `PGS_PointSet`. Generates a set of 2D deterministic stratified points from the Sobol low discrepancy sequence. @@ -45,11 +45,13 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `nest()` to `PGS_Processing`. Creates a nested shape having n levels of inner polygons. * `largestEmptyCircles()` to `PGS_Optimisation`. Finds the N largest empty circles amongst a set of obstacle geometries within a boundary. * Additional method signature for `PGS_CirclePacking.maximumInscribedPack()` that accepts a minimum radius threshold. -* `getPolygonInteriorSegments()` to `PGS_SegmentSet`. Retains line segments from the input shape if they are wholly contained within it. +* `getPolygonInteriorSegments()` to `PGS_SegmentSet`. Retains line segments from a set of line segments that are wholly contained within a given shape. +* `minimumAreaRectangle()` to `PGS_Optimisation`. Computes the minimum-area rectangle that encloses a shape. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). * Reimplemented `PGS_Processing.simplifyDCE()`. New algorithm is much faster, particularly on large inputs. +* Reimplemented `PGS_Processing.cleanCoverage()`. New algorithm is much faster, particularly on large inputs. * `toPVector()` now works on GROUP shapes (returning vertices from all child shapes). * Improved *Doyle Spiral* implementation. Outputs on some combinations of argument inputs should be better. * `PGS_ShapePredicates.holes()` now supports GROUP shapes. @@ -63,6 +65,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * The 4 simple `PGS_ShapeBoolean` methods now preserve the style of input shape `a` in their output. * `PGS_createRandomPolygon` can now accept a random seed. * Reimplemented `PGS_CirclePacking.maximumInscribedPack()`. New algorithm is faster, particularly so on higher circle counts. +* Renamed `miniumumBoundingRectangle()` to `minimumWidthRectangle()`. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 86db65b1..6fb72f9f 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -12,6 +12,7 @@ import java.util.Map; import java.util.stream.Collectors; +import org.locationtech.jts.algorithm.MinimumAreaRectangle; import org.locationtech.jts.algorithm.MinimumBoundingCircle; import org.locationtech.jts.algorithm.MinimumDiameter; import org.locationtech.jts.algorithm.construct.LargestEmptyCircle; @@ -118,7 +119,7 @@ public static PShape maximumInscribedRectangle(PShape shape) { /** * Finds the rectangle with a maximum area whose sides are parallel to the - * x-axis and y-axis ("axis-aligned"), contained within a convex shape. + * x-axis and y-axis ("axis-aligned"), contained/insribed within a convex shape. *

    * This method computes the MIR for convex shapes only; if a concave shape is * passed in, the resulting rectangle will be computed based on its convex hull. @@ -227,18 +228,37 @@ public static PShape minimumBoundingCircle(PShape shape) { } /** - * Computes the minimum bounding rectangle that encloses a shape. Unlike the - * envelope for a shape, the rectangle returned by this method can have any + * Computes the minimum-width bounding rectangle that encloses a shape. Unlike + * the envelope for a shape, the rectangle returned by this method can have any * orientation (it's not axis-aligned). + *

    + * The minimum-width enclosing rectangle does not necessarily have the minimum + * possible area. Use {@link #minimumAreaRectangle(PShape) + * minimumAreaRectangle()} to compute this. * - * @param shape - * @return + * @param shape The shape to compute the minimum bounding rectangle for. + * @return A PShape object representing the minimum bounding rectangle. */ - public static PShape minimumBoundingRectangle(PShape shape) { - Polygon md = (Polygon) MinimumDiameter.getMinimumRectangle(fromPShape(shape)); + public static PShape minimumWidthRectangle(PShape shape) { + Geometry md = MinimumDiameter.getMinimumRectangle(fromPShape(shape)); return toPShape(md); } + /** + * Computes the minimum-area rectangle that encloses a shape. + *

    + * The minimum-area enclosing rectangle does not necessarily have the minimum + * possible width. Use {@link #minimumWidthRectangle(PShape) + * minimumBoundingRectangle()} to compute this. + * + * @param shape The shape to compute the minimum-area rectangle for. + * @return A PShape object representing the minimum-area rectangle. + * @since 1.3.1 + */ + public static PShape minimumAreaRectangle(PShape shape) { + return toPShape(MinimumAreaRectangle.getMinimumRectangle(fromPShape(shape))); + } + /** * Computes the minimum bounding ellipse that encloses a shape. * @@ -301,22 +321,6 @@ public static PShape minimumDiameter(PShape shape) { return toPShape(md); } - /** - * Constructs the Largest Empty Circle for a set of obstacle geometries, up to a - * specified tolerance. Valid obstacles are point and line shapes (such as a - * POINTS PShape). - *

    - * The Largest Empty Circle is the largest circle which has its center in the - * convex hull of the obstacles (the boundary), and whose interior does not - * intersect with any obstacle. The circle center is the point in the interior - * of the boundary which has the farthest distance from the obstacles (up to - * tolerance). - * - * @param obstacles a shape representing the obstacles (points and lines) - * @param tolerance the distance tolerance for computing the circle center point - * @return - */ - /** * Computes the largest empty circle that does not intersect any obstacles (up * to a specified tolerance). @@ -327,8 +331,6 @@ public static PShape minimumDiameter(PShape shape) { * obstacles. * * @param obstacles A PShape representing the obstacles. - * @param boundary A PShape representing the polygonal boundary, or null if - * there is no boundary constraint. * @param tolerance A double representing the tolerance for the circle * computation. * @return A PShape representing the largest empty circle that does not diff --git a/src/main/java/micycle/pgs/PGS_SegmentSet.java b/src/main/java/micycle/pgs/PGS_SegmentSet.java index 6e0879de..05074631 100644 --- a/src/main/java/micycle/pgs/PGS_SegmentSet.java +++ b/src/main/java/micycle/pgs/PGS_SegmentSet.java @@ -492,8 +492,8 @@ public static List filterAxisAligned(List segments, double angleDe } /** - * Retains line segments from the input shape if they are wholly contained - * within it. + * Retains line segments from a set of line segments that are wholly contained + * within a given shape. * * @param segments a list of line segments to check for containment within the * shape From cab7c6034a6c890a1d99c13ff60fc135b616ea33 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 8 May 2023 20:02:58 +0100 Subject: [PATCH 54/88] add binPack() --- CHANGELOG.md | 3 +- README.md | 24 +++++++--- pom.xml | 5 +++ resources/optimisation/binPack1.png | Bin 0 -> 201913 bytes resources/optimisation/binPack2.png | Bin 0 -> 115172 bytes resources/pgs/sponge1.png | Bin 0 -> 208488 bytes resources/pgs/sponge2.png | Bin 0 -> 187333 bytes .../java/micycle/pgs/PGS_Optimisation.java | 42 ++++++++++++++++++ 8 files changed, 68 insertions(+), 6 deletions(-) create mode 100644 resources/optimisation/binPack1.png create mode 100644 resources/optimisation/binPack2.png create mode 100644 resources/pgs/sponge1.png create mode 100644 resources/pgs/sponge2.png diff --git a/CHANGELOG.md b/CHANGELOG.md index 924edf7e..f7ac7fcd 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -24,7 +24,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `reorderChildren()` to `PGS_Conversion`. Reorders the child shapes of a shape according to given comparator. * `scaleAreaTo()` to `PGS_Transformation`. Scales a given shape to a target shape area. * `scaleArea()` to `PGS_Transformation`. Scales the area of a given shape by a specified scale factor. -* `circleCoverage()` to `PGS_Optimsation`. Covers a polygon with n circles. +* `circleCoverage()` to `PGS_Optimisation`. Covers a polygon with n circles. * Additional method signature for `PGS_Conversion.fromPVector()` that accepts a list of holes, each defined a list of by PVectors. * `simpleSubtract()` to `PGS_ShapeBoolean`. Subtracts inner holes that lie within a given shell from the shell, without geometric processing. * `fromQuadraticBezier()` and `fromCubicBezier()` to `PGS_Conversion`. Makes a PATH shape representing a bezier curve (having equidistant sampling) given by its parameters. @@ -47,6 +47,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Additional method signature for `PGS_CirclePacking.maximumInscribedPack()` that accepts a minimum radius threshold. * `getPolygonInteriorSegments()` to `PGS_SegmentSet`. Retains line segments from a set of line segments that are wholly contained within a given shape. * `minimumAreaRectangle()` to `PGS_Optimisation`. Computes the minimum-area rectangle that encloses a shape. +* `binPack()` to `PGS_Optimisation`. Packs irregular polygonal shapes into rectangular containers (bins). ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 14deac7e..37fe6242 100644 --- a/README.md +++ b/README.md @@ -592,23 +592,31 @@ Much of the functionality (but by no means all) is demonstrated below: Closest Vertex Circle Covering - Rectangle Bin Pack + Visibility Polygon / Isovist + + + + + + Bin Pack + Rectangle Bin Pack + + + + Hilbert Sort Faces - Visibility Polygon / Isovist - - @@ -741,10 +749,16 @@ Much of the functionality (but by no means all) is demonstrated below: Arbelos Teardrop - Gear + Sponge + + + + + Gear + diff --git a/pom.xml b/pom.xml index a32d5a07..84029f96 100644 --- a/pom.xml +++ b/pom.xml @@ -337,6 +337,11 @@ Hobby-Curves 1.0 + + com.github.whitegreen + Dalsoo-Bin-Packing + bde2a3ef09 + diff --git a/resources/optimisation/binPack1.png b/resources/optimisation/binPack1.png new file mode 100644 index 0000000000000000000000000000000000000000..fe046a5e419ae9185c5a17be65068a1093902eeb GIT binary 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z_eRgTpC2`+8G_V?1A4!DKKa1xhww1aSBy0Bp%J=zK|Bk~mZz1Kr-j91p;qL@fnJ-% zuR)*rtBJfef6a)zQKF}x&ZaHi^2x}i-(2AxftKyG$*ic`-@+ZRgIi4j@7=xzSxjvp z(X^ugdjX6$0L5$s(ui_9cE~G2vg(CKCx?n9**PnkhedmEHHIrc^vxZxYWrcboPG)F z3_mLW&%}@`cesxM?MG}Uq~3iTcGB_j1b>Gg(PqPN2*Ax73!OhUDGB*n;q$h!O)*X^ zd7h`f(X**m(OWW;Fd9*PZkgbdlH9w!-6#9>NYt;)6xd_H58s{R!&eL3p7b*_tm;lx zi^zfw=Onls%(S2-b*WF@E=Yzql6Nlh_WwLGk5F z7jJJ4XK2)HKzD?&p$WKspcTuAfiNHNy_c@|wwe_iR6dkfj ziiYFC496^)g0;2q%txO%dl%E^GnNnjP{qY-h~YuX8NSs4tWipSm1pYe#*h*QNVZV- zLD_Mo_4RrI0cj|`#cEf>SmpyF&G+UJsYi@`{n@0Uohj|~1rX%vUeJ(+o{#a>@<|e| zaCf?R3?^oPQF&0b3#fSE{y^b_&rYuPtdf)SkCC9S0UDl!N5`!P*mLMrO)Oik-B=(}>$wHcdiJWAl-M)dZ zT_spAD73ZjBcdOJz^%%YmG$0(!xfTGh}<}}N|ymGfoEcB-$W%p6NSAS21gyq7gczL*gaw}0>$DOwgXsy7>+N*N rectangles, int binWidth, int binHei return bins; } + /** + * Packs a list of irregular polygonal shapes into (potentially multiple) + * rectangular containers (bins), while attempting to minimise the occupied + * space of the packing. + *

    + * Every bin has the dimensions given by the width and height parameters; when + * packed shapes fill/overflow one bin, any remaining shapes will be packed into + * additional bin(s). Multiple bins are arranged in a grid, having the maximum + * number of columns specified by the binColumns parameter. + *

    + * Bins are packed top-to-bottom vertically. + * + * @param shapes a list of PShapes to be packed within a bin(s) + * @param binWidth the width of each bin/container to pack the shapes into + * @param binHeight the height of each bin/container to pack the shapes into + * @param binColumns the number of columns to arrange the bins into (>= 1, only + * applies when there are multiple bins). + * @param spacing the amount of spacing between each packed shape (>= 0). + * @return a new GROUP PShape object containing the packed shapes arranged in + * columns + * @since 1.3.1 + */ + public static PShape binPack(List shapes, double binWidth, double binHeight, int binColumns, double spacing) { + if (shapes.isEmpty()) { + return new PShape(); + } + binColumns = Math.max(1, binColumns); // enforce >= 1 + double[][][] polys = new double[shapes.size()][0][0]; + for (int i = 0; i < polys.length; i++) { + polys[i] = PGS_Conversion.toArray(shapes.get(i), false); + } + + PShape packing = new PShape(GROUP); + DalsooPack pack = new DalsooPack(polys, spacing, null, 1, binWidth, binHeight, 0); // pack vertically + pack.packAll(true, false); // use abey pack -- most efficient method + pack.getPackedPolys(binColumns).forEach(p -> packing.addChild(PGS_Conversion.fromArray(p, true))); + PGS_Conversion.disableAllStroke(packing); + + return packing; + } + /** * Returns the nearest point of the shape to the given point. If the shape is * has multiple children/geometries (a GROUP shape), the single closest point is From 2513f03579191fa2e8f11c71d90a67efd7b1f3c3 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 19 Jun 2023 10:56:52 +0100 Subject: [PATCH 55/88] small assorted --- pom.xml | 14 +++++++------- src/main/java/micycle/pgs/PGS_Conversion.java | 6 +++--- src/main/java/micycle/pgs/PGS_PointSet.java | 19 +++++++++++-------- src/main/java/micycle/pgs/PGS_Processing.java | 3 +-- src/main/java/micycle/pgs/PGS_Voronoi.java | 2 +- src/main/java/micycle/pgs/color/RGB.java | 2 ++ 6 files changed, 25 insertions(+), 21 deletions(-) diff --git a/pom.xml b/pom.xml index 84029f96..88f604b1 100644 --- a/pom.xml +++ b/pom.xml @@ -23,8 +23,8 @@ 3.11.0 8 - 14 - 14 + 8 + 8 -Xplugin:jabel @@ -33,7 +33,7 @@ org.apache.maven.plugins maven-source-plugin - 3.2.1 + 3.3 attach-sources @@ -63,7 +63,7 @@ maven-surefire-plugin - 3.0.0 + 3.1.0 org.jacoco @@ -95,7 +95,7 @@ org.apache.maven.plugins maven-shade-plugin - 3.4.1 + 3.5 false true @@ -142,7 +142,7 @@ org.apache.maven.plugins maven-shade-plugin - 3.3.0 + 3.5 false true @@ -330,7 +330,7 @@ com.github.micycle1 BetterBeziers - b3a0dfc8fa + 19567c7be4 com.github.micycle1 diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 9aa69057..71253112 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -695,8 +695,8 @@ public static final PShape toPointsPShape(Collection points) { shape.setFamily(PShape.GEOMETRY); shape.setStrokeCap(PConstants.ROUND); shape.setStroke(true); - shape.setStroke(micycle.pgs.color.RGB.WHITE); - shape.setStrokeWeight(5); + shape.setStroke(micycle.pgs.color.RGB.PINK); + shape.setStrokeWeight(6); shape.beginShape(PConstants.POINTS); points.forEach(p -> shape.vertex(p.x, p.y)); shape.endShape(); @@ -1320,7 +1320,7 @@ public static List getChildren(PShape shape) { * @param children * @return a GROUP PShape consisting of the given children */ - public static PShape fromChildren(List children) { + public static PShape fromChildren(Collection children) { final PShape parent = new PShape(GROUP); children.forEach(parent::addChild); return parent; diff --git a/src/main/java/micycle/pgs/PGS_PointSet.java b/src/main/java/micycle/pgs/PGS_PointSet.java index 4446cd5e..f08124ee 100644 --- a/src/main/java/micycle/pgs/PGS_PointSet.java +++ b/src/main/java/micycle/pgs/PGS_PointSet.java @@ -408,15 +408,17 @@ public static List hexagon(double centerX, double centerY, int length, } /** - * Generates a set of points that are randomly distribted on a ring. + * Generates a set of n points that are randomly distributed on a ring + * (annulus). * * @param centerX x coordinate of the center/mean of the ring * @param centerY x coordinate of the center/mean of the ring * @param innerRadius radius of the ring's hole - * @param outerRadius maximum radius of the ring + * @param outerRadius outer radius of the ring * @param maxAngle angle of the ring (in radians). Can be negative - * @param n number of points to generate - * @return + * @param n the number of random points to generate + * @return a list of PVector objects representing the (x, y) coordinates of the + * random points * @see #ring(double, double, double, double, double, int, long) seeded ring() */ public static List ring(double centerX, double centerY, double innerRadius, double outerRadius, double maxAngle, int n) { @@ -424,17 +426,18 @@ public static List ring(double centerX, double centerY, double innerRad } /** - * Generates a set of points that are randomly distribted on a ring. + * Generates a set of points that are randomly distributed on a ring (annulus). * * @param centerX x coordinate of the center/mean of the ring * @param centerY x coordinate of the center/mean of the ring * @param innerRadius radius of the ring's hole - * @param outerRadius maximum radius of the ring + * @param outerRadius outer radius of the ring * @param maxAngle angle of the ring (in radians). Can be negative - * @param n number of points to generate + * @param n the number of random points to generate * @param seed number used to initialize the underlying pseudorandom * number generator - * @return + * @return a list of PVector objects representing the (x, y) coordinates of the + * random points * @see #ring(double, double, double, double, double, int) non-seeded ring() */ public static List ring(double centerX, double centerY, double innerRadius, double outerRadius, double maxAngle, int n, diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index c5c823c8..664caad2 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -344,11 +344,10 @@ public static List shapeIntersection(PShape a, PShape b) { @Override public void processIntersections(SegmentString e0, int segIndex0, SegmentString e1, int segIndex1) { sid.processIntersections(e0, segIndex0, e1, segIndex1); - if (sid.getIntersection() != null) { // TODO use hasIntersection()? + if (sid.hasIntersection()) { points.add(new PVector((float) sid.getIntersection().x, (float) sid.getIntersection().y)); } } - @Override public boolean isDone() { return false; diff --git a/src/main/java/micycle/pgs/PGS_Voronoi.java b/src/main/java/micycle/pgs/PGS_Voronoi.java index 31c7c33a..50d176bb 100644 --- a/src/main/java/micycle/pgs/PGS_Voronoi.java +++ b/src/main/java/micycle/pgs/PGS_Voronoi.java @@ -203,7 +203,7 @@ public static PShape innerVoronoi(final PShape shape, final boolean constrain, @ v = new BoundedVoronoiDiagram(newSites, options); } - List faces = v.getPolygons().stream().map(PGS_Voronoi::toPolygon).collect(Collectors.toList()); + List faces = v.getPolygons().stream().filter(p -> p.getEdges().size() > 1).map(PGS_Voronoi::toPolygon).collect(Collectors.toList()); if (constrain && g instanceof Polygonal) { faces = faces.parallelStream().map(f -> OverlayNG.overlay(f, g, OverlayNG.INTERSECTION)).collect(Collectors.toList()); faces.removeIf(f -> f.getNumPoints() == 0); // (odd, artifacts of intersection?) diff --git a/src/main/java/micycle/pgs/color/RGB.java b/src/main/java/micycle/pgs/color/RGB.java index e606b2ae..db01ef7e 100644 --- a/src/main/java/micycle/pgs/color/RGB.java +++ b/src/main/java/micycle/pgs/color/RGB.java @@ -15,6 +15,8 @@ public class RGB { public static final int WHITE = composeColor(255, 255, 255); /** RGB (237, 50, 162) */ public static final int PINK = composeColor(237, 50, 162); + /** RGBA (237, 50, 162, 128) */ + public static final int HALF_PINK = micycle.pgs.color.RGB.setAlpha(PINK, 128); /** RGB (255, 0, 0) */ public static final int RED = composeColor(255, 0, 0); /** RGB (0, 255, 0) */ From 8b820748dece37f1f5246c9ada2f7714aa172e92 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 19 Jun 2023 10:57:21 +0100 Subject: [PATCH 56/88] `intersectMesh()` and `subtractMesh()` preserve mesh face styling --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_ShapeBoolean.java | 42 ++++++++++++------- 2 files changed, 29 insertions(+), 14 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index f7ac7fcd..2597397a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -67,6 +67,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `PGS_createRandomPolygon` can now accept a random seed. * Reimplemented `PGS_CirclePacking.maximumInscribedPack()`. New algorithm is faster, particularly so on higher circle counts. * Renamed `miniumumBoundingRectangle()` to `minimumWidthRectangle()`. +* `intersectMesh()` and `subtractMesh()` now fully preserve the styling of original mesh faces. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index 43eb2599..d2add4af 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -9,7 +9,6 @@ import java.util.HashMap; import java.util.List; import java.util.Map; -import java.util.Objects; import java.util.stream.Collectors; import org.locationtech.jts.geom.Geometry; @@ -84,12 +83,18 @@ public static PShape intersect(final PShape a, final PShape b) { public static PShape intersectMesh(final PShape mesh, final PShape area) { final Geometry g = fromPShape(area); final PreparedGeometry cache = PreparedGeometryFactory.prepare(g); - // @formatter:off - List faces = PGS_Conversion.getChildren(mesh).parallelStream() - .map(PGS_Conversion::fromPShape) - .map(f -> cache.containsProperly(f) ? f : OverlayNG.overlay(f, g, OverlayNG.INTERSECTION)) - .collect(Collectors.toList()); - // @formatter:on + + List faces = PGS_Conversion.getChildren(mesh).parallelStream().map(s -> { + final Geometry f = PGS_Conversion.fromPShape(s); + if (cache.containsProperly(f)) { + return f; + } else { + // preserve the fill etc of the PShape during intersection + Geometry boundaryIntersect = OverlayNG.overlay(f, g, OverlayNG.INTERSECTION); + boundaryIntersect.setUserData(f.getUserData()); + return boundaryIntersect; + } + }).collect(Collectors.toList()); return PGS_Conversion.toPShape(faces); } @@ -270,13 +275,22 @@ public static PShape simpleSubtract(PShape shell, PShape holes) { public static PShape subtractMesh(PShape mesh, PShape area) { final Geometry g = fromPShape(area); final PreparedGeometry cache = PreparedGeometryFactory.prepare(g); - // @formatter:off - List faces = PGS_Conversion.getChildren(mesh).parallelStream() - .map(PGS_Conversion::fromPShape) - .map(f -> cache.containsProperly(f) ? null : OverlayNG.overlay(f, g, OverlayNG.DIFFERENCE)) - .filter(Objects::nonNull) - .collect(Collectors.toList()); - // @formatter:on + + List faces = PGS_Conversion.getChildren(mesh).parallelStream().map(s -> { + final Geometry f = PGS_Conversion.fromPShape(s); + if (cache.containsProperly(f)) { + return null; // inside -- remove + } else { + if (cache.disjoint(f)) { + return f; // outside -- keep + } + // preserve the fill etc of the PShape during subtraction + Geometry boundarySubtract = OverlayNG.overlay(f, g, OverlayNG.DIFFERENCE); + boundarySubtract.setUserData(f.getUserData()); + return boundarySubtract; + } + }).collect(Collectors.toList()); + return PGS_Conversion.toPShape(faces); } From 1b86af6f4ef2fc4458009581fbeea1ce57e16f5d Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 24 Jun 2023 02:06:49 +0100 Subject: [PATCH 57/88] assorted javadocs and formatting --- pom.xml | 4 +- src/main/java/micycle/pgs/PGS_Coloring.java | 7 +- src/main/java/micycle/pgs/PGS_Conversion.java | 1 + .../java/micycle/pgs/PGS_ShapeBoolean.java | 202 +++++++++++------- .../java/micycle/pgs/PGS_ShapePredicates.java | 16 +- .../pgs/commons/LittleThumblingDensifier.java | 6 +- 6 files changed, 146 insertions(+), 90 deletions(-) diff --git a/pom.xml b/pom.xml index 88f604b1..646d58b5 100644 --- a/pom.xml +++ b/pom.xml @@ -95,7 +95,7 @@ org.apache.maven.plugins maven-shade-plugin - 3.5 + 3.5.0 false true @@ -142,7 +142,7 @@ org.apache.maven.plugins maven-shade-plugin - 3.5 + 3.5.0 false true diff --git a/src/main/java/micycle/pgs/PGS_Coloring.java b/src/main/java/micycle/pgs/PGS_Coloring.java index a3881a3b..03ad0165 100644 --- a/src/main/java/micycle/pgs/PGS_Coloring.java +++ b/src/main/java/micycle/pgs/PGS_Coloring.java @@ -51,9 +51,10 @@ private PGS_Coloring() { } /** - * Specifies the algorithm/heuristic used by the underlying graph coloring process to find - * a coloring for mesh faces. RLF, followed by DSATUR generally produce the - * "best" colorings (as measured by chromatic number, where lower is better). + * Specifies the algorithm/heuristic used by the underlying graph coloring + * process to find a coloring for mesh faces. RLF, followed by DSATUR generally + * produce the "best" colorings (as measured by chromatic number, where lower is + * better). */ public enum ColoringAlgorithm { /** diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 71253112..91e8cb15 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -1243,6 +1243,7 @@ public static PShape fromArray(double[][] shape, boolean close) { for (double[] p : shape) { points.add(new PVector((float) p[0], (float) p[1])); } + // add closing vertex if close==true and data isn't already closed if (close && !points.get(0).equals(points.get(points.size() - 1))) { points.add(new PVector((float) shape[0][0], (float) shape[0][1])); } diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index d2add4af..972bf833 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -36,21 +36,22 @@ private PGS_ShapeBoolean() { } /** - * Computes a shape representing the area which is common to both input shapes - * (i.e. the shape formed by intersection of a and b). + * Calculates the intersection of two shapes, producing a new shape representing + * the shared area. *

    - * Note: Intersecting a polygon with a path/linestring will crop the path to the - * polygon. + * When intersecting a polygon with a path or linestring, the method will trim + * the path to the polygon's boundaries. *

    - * Note: The intersecting parts of faces of a mesh-like shape will be collapsed - * into a single area during intersection; to intersect such a shape and - * preserve how each face is intersected individually, use + * Note: When intersecting a mesh-like shape with a polygon, the remaining + * intersecting parts of individual faces will be collapsed into a single area. + * To preserve individual faces during intersection, use * {@link #intersectMesh(PShape, PShape) intersectMesh()}. * - * @param a The first shape. - * @param b The second shape. - * @return A new shape representing the intersection of the two input shapes; - * the new shape will have the style of shape a. + * @param a The first shape to be intersected. + * @param b The second shape to intersect with the first. + * @return A new shape representing the area of intersection between the two + * input shapes. The resulting shape retains the style of the first + * input shape, 'a'. */ public static PShape intersect(final PShape a, final PShape b) { Geometry shapeA = fromPShape(a); @@ -60,24 +61,27 @@ public static PShape intersect(final PShape a, final PShape b) { } /** - * Intersects a mesh-like shape / polygonal coverage with a polygonal area, - * preserving individual faces/features of the mesh during the operation. + * Performs an intersection operation between a mesh-like shape (a polygonal + * coverage) and a polygonal area, while preserving the individual features of + * the mesh during the operation. *

    - * When a mesh-like shape / polygonal coverage is intersected with a whole - * polygon using {@link #intersect(PShape, PShape) intersect(a, b)}, the result - * is a single polygon comprising the combined/dissolved area of all - * intersecting mesh faces. Sometimes this behaviour is desired whereas other - * times it is not -- this method can be used to preserve how each face is - * intersected individually. + * When a mesh-like shape or polygonal coverage is intersected with a polygon + * using the general {@link #intersect(PShape, PShape) intersect(a, b)} method, + * the result is a single polygon that consists of the unified or dissolved area + * of all intersecting mesh faces. Depending on the requirements of your task, + * this behavior may not be optimal. The current method addresses this issue by + * preserving the individual intersections of each mesh face. *

    - * Using this method is faster than calling {@link #intersect(PShape, PShape) - * intersect(a, b)} repeatedly for every face of a mesh-like shape - * a against an area b. + * This method performs faster than invoking the + * {@link #intersect(PShape, PShape) intersect(a, b)} method repeatedly for + * every face of a mesh-like shape a against an area + * b. * - * @param mesh a mesh-like GROUP shape - * @param area a polygonal shape - * @return a GROUP shape, where each child shape is the union of one mesh face - * and the area + * @param mesh A mesh-like GROUP shape that will be intersected with the + * polygonal area. + * @param area A polygonal shape with which the mesh will be intersected. + * @return A GROUP shape where each child shape represents the union of one mesh + * face with the area. * @since 1.3.0 */ public static PShape intersectMesh(final PShape mesh, final PShape area) { @@ -99,12 +103,19 @@ public static PShape intersectMesh(final PShape mesh, final PShape area) { } /** - * "Glues" shapes together so they become a single combined shape with the sum - * of its areas. - * - * @return A new PShape representing the union of the two input shapes; the new - * shape will have the style of shape a. - * @see #union(PShape...) + * Combines two shapes into a single new shape, representing the total area of + * both input shapes. + *

    + * This method performs a geometric union operation, "gluing" the two input + * shapes together to create a new shape that encompasses the combined area of + * both inputs. If the input shapes overlap, the overlapping area is included + * only once in the resulting shape. + * + * @param a The first shape to be unified. + * @param b The second shape to be unified with the first. + * @return A new PShape representing the union of the two input shapes. The + * resulting shape retains the style of the first input shape, 'a'. + * @see #union(PShape...) For union operations on multiple shapes. */ public static PShape union(final PShape a, final PShape b) { Geometry shapeA = fromPShape(a); @@ -114,12 +125,15 @@ public static PShape union(final PShape a, final PShape b) { } /** - * Unions any variable number of shapes. - * - * @param shapes - * @return - * @see #union(PShape, PShape) - * @see #union(PShape...) + * Performs a geometric union operation on a collection of shapes, merging them + * into a new shape that represents the total area of all the input shapes. + * Overlapping areas among the shapes are included only once in the resulting + * shape. + * + * @param shapes A list of PShapes to be unified. + * @return A new PShape object representing the union of the input shapes. + * @see #union(PShape, PShape) For a union operation on two shapes. + * @see #union(PShape...) For union operations on a variable number of shapes. */ public static PShape union(final List shapes) { Collection polygons = new ArrayList<>(); @@ -128,27 +142,33 @@ public static PShape union(final List shapes) { } /** - * Unions any variable number of shapes. + * Performs a geometric union operation on a variable number of shapes, merging + * them into a new shape that encompasses the total area of all input shapes. + * Overlapping areas among the shapes are included only once in the resulting + * shape. * - * @param shapes varArgs - * @return - * @see #union(PShape, PShape) - * @see #union(List) + * @param shapes A variable number of PShape instances to be unified. + * @return A new PShape object representing the union of the input shapes. + * @see #union(PShape, PShape) For a union operation on two shapes. + * @see #union(List) For a union operation on a list of shapes. */ + public static PShape union(PShape... shapes) { return union(Arrays.asList(shapes)); } /** - * Unions/flattens/merges/dissolves a mesh-like PShape (that is, a GROUP PShape - * whose children represent faces that share edges) into a single shape that - * represents the boundary of the mesh. This method is optimised for meshes, and - * is accordingly much faster than unioning the mesh faces together using other - * methods. - * - * @param mesh a GROUP pshape whose children shapes form a mesh (join/overlap at - * edges). The mesh may contain holes. - * @return + * Merges a mesh-like PShape (i.e., a GROUP PShape whose children represent + * faces with shared edges) into a single shape that denotes the boundary of the + * entire mesh. This method is specifically optimized for meshes and + * significantly outperforms other methods of unioning the mesh faces. + *

    + * The mesh can contain holes and these will be correctly processed and + * reflected in the final output. + * + * @param mesh A GROUP PShape, where each child shape forms part of a mesh, + * meaning they join or overlap at edges. + * @return A single PShape representing the boundary of the mesh. * @since 1.2.0 */ public static PShape unionMesh(final PShape mesh) { @@ -167,9 +187,20 @@ private static PShape unionMeshWithHoles(final PShape mesh) { } /** - * Faster than JTS CoverageUnion but does not handle meshes with holes. - * - * @deprecated + * Unifies a collection of mesh shapes without handling holes, providing a more + * faster approach than {@link #unionMesh(PShape)} if the input is known to have + * no holes. + *

    + * This method calculates the set of unique edges belonging to the mesh, which + * is equivalent to the boundary, assuming a mesh without holes. It then + * determines a sequential/winding order for the vertices of the boundary. + *

    + * Note: This method does not account for meshes with holes. + * + * @param mesh A collection of shapes representing a mesh. + * @return A new PShape representing the union of the mesh shapes. + * @deprecated This method is deprecated due to the lack of support for meshes + * with holes. */ public static PShape unionMeshWithoutHoles(final Collection mesh) { Map edges = new HashMap<>(); @@ -232,7 +263,8 @@ public static PShape subtract(final PShape a, final PShape b) { * Rather than performing geometric overlay, this method simply appends the * holes as contours to the shell. For this reason, it is faster than * {@link #subtract(PShape, PShape) subtract()} but this method produces valid - * results only if all holes lie inside the shell. + * results only if all holes lie inside the shell and holes are not + * nested. * * @param shell polygonal shape * @param holes single polygon, or GROUP shape, whose children are holes that @@ -253,29 +285,30 @@ public static PShape simpleSubtract(PShape shell, PShape holes) { } /** - * Subtracts a polygonal area from a mesh-like shape / polygonal coverage, - * preserving individual faces/features of the mesh during the operation. + * Subtracts a polygonal area from a mesh-like shape or polygonal coverage, + * ensuring each individual face or feature of the mesh is preserved during the + * operation. *

    - * When polygon is subtracted from a mesh-like shape / polygonal coverage using - * {@link #subtract(PShape, PShape) subtract(a, b)}, the result is a - * single polygon comprising the combined/dissolved area of all remaining - * mesh face parts. Sometimes this behaviour is desired whereas other times it - * is not -- this method can be used to preserve how each face is subtracted - * from individually. + * The method {@link #subtract(PShape, PShape) subtract(a, b)} subtracts a + * polygon from a mesh, producing a single polygon that represents the combined + * and dissolved area of all remaining mesh face parts. This method offers an + * alternative to preserve how each face is individually affected by the + * subtraction. *

    - * Using this method is faster than calling {@link #subtract(PShape, PShape) - * subtract(a, b)} repeatedly on every face of a mesh-like shape a. - * - * @param mesh a mesh-like GROUP shape - * @param area a polygonal shape - * @return a GROUP shape, where each child shape is the subtraction of the area - * from one mesh face + * This method is more efficient than repeatedly calling + * {@link #subtract(PShape, PShape) subtract(a, b)} on each face of a mesh-like + * shape. + * + * @param mesh A GROUP PShape that represents a mesh-like shape. + * @param area A polygonal PShape from which the mesh shape is subtracted. + * @return A GROUP PShape, where each child shape is the result of the area + * being subtracted from a single mesh face. * @since 1.3.0 */ public static PShape subtractMesh(PShape mesh, PShape area) { final Geometry g = fromPShape(area); final PreparedGeometry cache = PreparedGeometryFactory.prepare(g); - + List faces = PGS_Conversion.getChildren(mesh).parallelStream().map(s -> { final Geometry f = PGS_Conversion.fromPShape(s); if (cache.containsProperly(f)) { @@ -290,13 +323,14 @@ public static PShape subtractMesh(PShape mesh, PShape area) { return boundarySubtract; } }).collect(Collectors.toList()); - + return PGS_Conversion.toPShape(faces); } /** - * Computes the symmetric difference (the parts that the shapes do not - * have in common) between two shapes and returns the result as a new shape. + * Calculates the symmetric difference between two shapes. The symmetric + * difference is the set of regions that exist in either of the two shapes but + * not in their intersection. * * @param a The first shape. * @param b The second shape. @@ -311,14 +345,18 @@ public static PShape symDifference(PShape a, PShape b) { } /** - * Computes the shape's complement (or inverse) against a rectangle of specified - * width and height. + * Calculates the complement (or inverse) of the provided shape within a + * rectangular boundary of specified width and height. + *

    + * The resulting shape corresponds to the portion of the rectangle not covered + * by the input shape. The operation is essentially a subtraction of the input + * shape from the rectangle. * - * @param shape The PShape for which the complement is to be calculated. - * @param width width of the rectangle plane to subtract shape from - * @param height height of the rectangle plane to subtract shape from - * @return A new PShape representing the complement of the input shape within - * the specified rectangle. + * @param shape The input shape for which the complement is to be determined. + * @param width The width of the rectangular boundary. + * @param height The height of the rectangular boundary. + * @return A new PShape representing the inverse of the input shape within the + * specified rectangular boundary. */ public static PShape complement(PShape shape, double width, double height) { final GeometricShapeFactory shapeFactory = new GeometricShapeFactory(); diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index 8346babb..63eb694c 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -33,7 +33,7 @@ import processing.core.PVector; /** - * Various shape metrics & predicates + * Various shape metrics, predicates and descriptors. * * @author Michael Carleton * @@ -408,6 +408,20 @@ public static double elongation(final PShape shape) { } } + /** + * Computes the convexity of a shape using a simple area-based measure of + * convexity. + * + * @param shape + * @return a value in [0, 1] + * @since 1.3.1 + */ + public static double convexity(PShape shape) { + // also see 'A New Convexity Measure for Polygons' + Geometry g = fromPShape(shape); + return g.getArea() / g.convexHull().getArea(); + } + /** * Counts the number of holes in a shape. * diff --git a/src/main/java/micycle/pgs/commons/LittleThumblingDensifier.java b/src/main/java/micycle/pgs/commons/LittleThumblingDensifier.java index 44a782ce..afda376d 100644 --- a/src/main/java/micycle/pgs/commons/LittleThumblingDensifier.java +++ b/src/main/java/micycle/pgs/commons/LittleThumblingDensifier.java @@ -48,8 +48,9 @@ public LittleThumblingDensifier(Geometry inputGeom) { } public void setStepLength(double stepLength) { - if (stepLength <= 0.0) + if (stepLength <= 0.0) { throw new IllegalArgumentException("Step length must be positive"); + } this.stepLength = stepLength; } @@ -130,8 +131,9 @@ private static Coordinate[] densifyPoints(Coordinate[] pts, double stepLength, P for (int i = 0; i < pts.length - 1; i++) { Coordinate c0 = pts[i], c1 = pts[i + 1]; dTot = c0.distance(c1); - if (d <= dTot) + if (d <= dTot) { a = FastAtan2.atan2(c1.y - c0.y, c1.x - c0.x); + } while (d <= dTot) { // use LineSegment.pointAlong instead ? Coordinate c = new Coordinate(c0.x + d * Math.cos(a), c0.y + d * Math.sin(a)); From b94dbf58c622b5ca50ff18205238c389325f4ef4 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 25 Jun 2023 20:49:07 +0100 Subject: [PATCH 58/88] add elliptic fourier methods --- CHANGELOG.md | 2 + README.md | 2 + .../morphology/ellipticFourierSmooth.gif | Bin 0 -> 423820 bytes src/main/java/micycle/pgs/PGS_Morphology.java | 141 +++++++++++--- .../java/micycle/pgs/PGS_ShapePredicates.java | 30 ++- .../pgs/commons/EllipticFourierDesc.java | 179 ++++++++++++++++++ 6 files changed, 330 insertions(+), 24 deletions(-) create mode 100644 resources/morphology/ellipticFourierSmooth.gif create mode 100644 src/main/java/micycle/pgs/commons/EllipticFourierDesc.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 2597397a..e5295a37 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -48,6 +48,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `getPolygonInteriorSegments()` to `PGS_SegmentSet`. Retains line segments from a set of line segments that are wholly contained within a given shape. * `minimumAreaRectangle()` to `PGS_Optimisation`. Computes the minimum-area rectangle that encloses a shape. * `binPack()` to `PGS_Optimisation`. Packs irregular polygonal shapes into rectangular containers (bins). +* `smoothEllipticFourier()` to `PGS_Morphology`. Smoothes a shape using its elliptic fourier descriptors. +* `efdSimilarity()` to `PGS_ShapePredicates`. Quantifies the similarity between two shapes, using elliptic fourier descriptors. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 37fe6242..753b2d78 100644 --- a/README.md +++ b/README.md @@ -301,11 +301,13 @@ Much of the functionality (but by no means all) is demonstrated below: Variable Buffer Precision Reduction Hobby Curve Simplification + Elliptic Fourier Smoothing + diff --git a/resources/morphology/ellipticFourierSmooth.gif b/resources/morphology/ellipticFourierSmooth.gif new file mode 100644 index 0000000000000000000000000000000000000000..d0563a4f625969cc8460c26fad1f68107eee8667 GIT binary patch literal 423820 zcmbrFcTf}G-|u&`A#_Nnp@$+}1*8O|gkD8Zq=TVJ5tS+(6M9vebTRa*bU{H3(u+z5 zK{QAeML|RbG2hGgxzD}#nfd*Bch1cIu`_4(%%0EL-Pd`&4UG-3sxCjkAK)@@a!8&u zI3P_A%CbOb(KL#pv}$q;+M3KpX2^>!oc4h{Zi#|7i^RenOU8DeO&w9WKd)c9X;`yi z-}uG*>98Yy8%xJ7?Ks?2+LwqFH7Pb~E*nTipYwS)++03%52KsHZ`@Kbk}Y|;&T*urax72I zZM4|9wdz$7HgNmhNNe?*hqzb<0h6|x$#SD?X{XV)+UaVGa+3!p?RB&Dwyi$PqwV$c 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mxg7a<)xYkoWB${AfkD{#u$WM+OTguzpo^}TEW?5UgZ}~Y>%dt6 literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index cc7b3487..590bbe15 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -36,6 +36,7 @@ import micycle.pgs.commons.ChaikinCut; import micycle.pgs.commons.CornerRounding; import micycle.pgs.commons.DiscreteCurveEvolution; +import micycle.pgs.commons.EllipticFourierDesc; import micycle.pgs.commons.GaussianLineSmoothing; import micycle.pgs.commons.ShapeInterpolation; import processing.core.PConstants; @@ -433,15 +434,106 @@ public static PShape smoothGaussian(PShape shape, double sigma) { } /** - * Rounds the corners of a shape by substituting a circular arc for each corner. - * Each corner is rounded in proportion to the smallest length of its 2 - * constituent lines. + * Calculates the Elliptic Fourier Descriptors (EFD) of a specified shape, + * yielding a simplified/smoothed shape representation based on the specified + * number of descriptors. + *

    + * The EFD technique is an approach for shape analysis and simplification that + * decomposes a shape into a sequence of elliptic harmonic components. These + * components encapsulate the contour details of the shape: lower-order + * harmonics capture the broad geometry of the shape, while higher-order + * harmonics register the detailed, high-frequency contour characteristics, + * analogous to Principal Component Analysis (PCA). This technique is + * particularly effective for generating condensed or smoother versions of + * complex shapes. * - * @param shape - * @param extent 0...1 (where 0 is no rounding, and 1 is the maximum rounding - * whilst keeping shape valid). Values greater than 1 are allowed - * by output undefined results. - * @return + * @param shape A polygonal shape to be transformed using the EFD. + * @param descriptors The desired level of the EFD, denoting the quantity of + * harmonics to be retained in the output. The maximum value + * is half the total number of vertices in the shape, while + * the minimum allowable value is 2. As the number of + * harmonics is increased, the output tends towards the input + * shape. + * @return A new PShape, simplified through the application of the Elliptic + * Fourier Descriptors up to the indicated order. This shape will always + * have the same number of vertices as the original. + * @since 1.3.1 + */ + public static PShape smoothEllipticFourier(PShape shape, int descriptors) { + Geometry g = fromPShape(shape); + switch (g.getGeometryType()) { + case Geometry.TYPENAME_GEOMETRYCOLLECTION : + case Geometry.TYPENAME_MULTIPOLYGON : + case Geometry.TYPENAME_MULTILINESTRING : + PShape group = new PShape(GROUP); + for (int i = 0; i < g.getNumGeometries(); i++) { + group.addChild(smoothEllipticFourier(toPShape(g.getGeometryN(i)), descriptors)); + } + return group; + case Geometry.TYPENAME_POLYGON : + LinearRingIterator lri = new LinearRingIterator(g); + LinearRing[] rings = lri.getLinearRings(); + LinearRing[] ringProcessed = new LinearRing[rings.length]; + for (int i = 0; i < rings.length; i++) { + descriptors = Math.min(rings[i].getCoordinates().length / 2, descriptors); // max=#vertices/2 + descriptors = Math.max(2, descriptors); // min=2 + final EllipticFourierDesc efd = new EllipticFourierDesc(rings[i], descriptors); + Coordinate[] coords = efd.createPolygon(); + ringProcessed[i] = PGS.GEOM_FACTORY.createLinearRing(coords); + } + + LinearRing[] holes = null; + if (ringProcessed.length > 1) { + holes = Arrays.copyOfRange(ringProcessed, 1, ringProcessed.length); + } + return toPShape(PGS.GEOM_FACTORY.createPolygon(ringProcessed[0], holes)); + case Geometry.TYPENAME_LINEARRING : + descriptors = Math.min(shape.getVertexCount() / 2, descriptors); // max=#vertices/2 + descriptors = Math.max(2, descriptors); // min=2 + LinearRing l = (LinearRing) g; + final EllipticFourierDesc efd = new EllipticFourierDesc(l, descriptors); + return toPShape(PGS.GEOM_FACTORY.createLinearRing(efd.createPolygon())); + case Geometry.TYPENAME_LINESTRING : + default : + System.err.println(g.getGeometryType() + " are not supported for the smoothEllipticFourier() method."); // pointal/string + // geoms + return new PShape(); // return empty (so element is invisible if not processed) + } + } + + public static double[][] coordsToDoubles(Coordinate[] coordinates) { + double[][] result = new double[coordinates.length][2]; + + for (int i = 0; i < coordinates.length; i++) { + result[i][0] = coordinates[i].x; + result[i][1] = coordinates[i].y; + } + + return result; + } + + public static Coordinate[] doublesToCoords(double[][] doubles) { + Coordinate[] result = new Coordinate[doubles.length]; + + for (int i = 0; i < doubles.length; i++) { + result[i] = new Coordinate(doubles[i][0], doubles[i][1]); + } + + return result; + } + + /** + * Modifies the corners of a specified shape by replacing each angular corner + * with a smooth, circular arc. The radius of each arc is determined + * proportionally to the shorter of the two lines forming the corner. + * + * @param shape The original PShape object whose corners are to be rounded. + * @param extent Specifies the degree of corner rounding, with a range from 0 to + * 1. A value of 0 corresponds to no rounding, whereas a value of + * 1 yields maximum rounding while still maintaining the validity + * of the shape. Values above 1 are accepted but may produce + * unpredictable results. + * @return A new PShape object with corners rounded to the specified extent. */ public static PShape round(PShape shape, double extent) { return CornerRounding.round(shape, extent); @@ -479,23 +571,26 @@ public static PShape chaikinCut(PShape shape, double ratio, int iterations) { } /** - * Warps/perturbs a shape by displacing vertices along a line between each - * vertex and the shape centroid. - * + * Distorts a polygonal shape by radially displacing its vertices along the line + * connecting each vertex with the shape's centroid, creating a warping or + * perturbing effect. *

    - * Inputs may be densified before warping. + * The shape's input vertices can optionally be densified prior to the warping + * operation. * - * @param shape a polygonal shape - * @param magnitude magnitude of the displacement. The value defines the - * maximum euclidean displacement of a vertex compared to the - * shape centroid - * @param warpOffset offset angle that determines at which angle to begin the - * displacement. - * @param densify whether to densify the shape (using distance=1) before - * warping. When true, shapes with long edges will undergo - * warping along the whole edge (rather than only at the - * original vertices). - * @return + * @param shape A polygonal PShape object to be distorted. + * @param magnitude The degree of the displacement, which determines the + * maximum Euclidean distance a vertex will be moved in + * relation to the shape's centroid. + * @param warpOffset An offset angle, which establishes the starting angle for + * the displacement process. + * @param densify A boolean parameter determining whether the shape should be + * densified (by inserting additional vertices at a distance + * of 1) before warping. If true, shapes with long edges will + * experience warping along their entire length, not just at + * the original vertices. + * @return A new PShape object that has been radially warped according to the + * specified parameters. */ public static PShape radialWarp(PShape shape, double magnitude, double warpOffset, boolean densify) { Geometry g = fromPShape(shape); diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index 63eb694c..ae168fb1 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -26,6 +26,7 @@ import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.geom.util.PolygonExtracter; +import micycle.pgs.commons.EllipticFourierDesc; import micycle.pgs.commons.GeometricMedian; import micycle.trapmap.TrapMap; import processing.core.PConstants; @@ -359,10 +360,13 @@ public static double overlap(PShape a, PShape b) { Geometry g1 = fromPShape(a); Geometry g2 = fromPShape(b); Geometry overlap = g1.intersection(g2); + double aOverlap = overlap.getArea(); + if (aOverlap == 0) { + return 0; + } double a1 = g1.getArea(); double a2 = g2.getArea(); double total = a1 + a2; - double aOverlap = overlap.getArea(); double w1 = a1 / total; double w2 = a2 / total; return w1 * (aOverlap / a1) + w2 * (aOverlap / a2); @@ -464,6 +468,30 @@ public static double maximumInteriorAngle(PShape shape) { return maxAngle; } + /** + * Quantifies the similarity between two shapes, by using the pairwise euclidean + * distance between each shape's Elliptic Fourier Descriptors (EFD). + *

    + * Smaller values indicate greater similarity or equivalence, and the measure is + * translation and rotation invariant. + *

    + * This method can be useful in shape recognition tasks where it is necessary to + * quantify the difference or similarity between two shapes. + * + * @param a polygonal shape + * @param b polygonal shape + * @return The EFD distance between the two provided PShapes. Smaller values + * indicate greater similarity or equivalence between the shapes. + * @since 1.3.1 + */ + public static double efdSimilarity(PShape a, PShape b) { + int n = Math.min(a.getVertexCount(), b.getVertexCount()) / 2; + n = Math.min(n, 50); // max of 50 descriptors + EllipticFourierDesc efdA = new EllipticFourierDesc(((Polygon) fromPShape(a)).getExteriorRing(), n); + EllipticFourierDesc efdB = new EllipticFourierDesc(((Polygon) fromPShape(b)).getExteriorRing(), n); + return EllipticFourierDesc.computeEFDDistance(efdA.getEFD(), efdB.getEFD()); + } + /** * Tests two shapes for structural equality. In simple terms, this means * that they must have the same number of vertices, in the same locations, and diff --git a/src/main/java/micycle/pgs/commons/EllipticFourierDesc.java b/src/main/java/micycle/pgs/commons/EllipticFourierDesc.java new file mode 100644 index 00000000..7d0705b6 --- /dev/null +++ b/src/main/java/micycle/pgs/commons/EllipticFourierDesc.java @@ -0,0 +1,179 @@ +package micycle.pgs.commons; + +import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.LinearRing; + +import net.jafama.FastMath; + +/** + * Implements Elliptic Fourier Descriptors (EFD). + *

    + * The EFD provides a normalized set of coefficients that are rotation, + * translation and scale invariant. The very first coefficient relates to the + * centroid of the input shape before the EFD is computed and can be ignored; + * the second FD coefficient relates to a circle circumscribed about the + * centroid before the EFD computation. After the EFD computation the second EFD + * is always 2 and can be ignored. That leaves the remaining EFD coefficients + * for use in comparing shapes. + */ +public class EllipticFourierDesc { + + // https://github.com/droiddeveloper1/android-wear-gestures-recognition/blob/master/mobile/src/main/java/com/dmt/gestureproject_1/ + + private Coordinate[] xy; // the x and y coordinates + /** The number of points on input contour */ + private int m; + /** The number of FD coefficients */ + private int nFD; + /** The Fourier Descriptors */ + private double[] efd_ax, efd_ay, efd_bx, efd_by; + /** The normalized Elliptic Fourier Descriptors */ + private double[] efd; + + /** + * Constructs a descriptor object for a given polygon and computes the + * Elliptical Fourier Descriptors for it. + * + * @param coords A two-dimensional array representing the vertices of the + * polygon. Each row contains the x and y coordinates of a vertex. + * @param n The number of Fourier descriptors to compute. This is also the + * number of harmonics used in the Fourier series. >=2. + */ + public EllipticFourierDesc(LinearRing ring, int n) { + this.xy = ring.getCoordinates(); + this.nFD = n; + this.m = xy.length; + computeEllipticFD(); + } + + /** + * Constructs a descriptor object for a given polygon and computes + * #vertices/2 Elliptical Fourier Descriptors for it. + * + * @param x the x coordinates of the contour + * @param y the y coordinates of the contour + */ + public EllipticFourierDesc(LinearRing ring) { + this(ring, ring.getNumPoints() / 2); + } + + /** + * Returns the elliptic fourier descriptors, which are computed upon + * initialisation. + *

    + * The very first coefficient relates to the centroid of the input shape before + * the EFD is computed and can be ignored; the second FD coefficient relates to + * a circle circumscribed about the centroid before the EFD computation -- after + * the EFD computation this second EFD is always 2 and can be ignored. + * + * @return list of coefficients/harmonics + */ + public double[] getEFD() { + return efd; + } + + /** + * Computes the Fourier and Elliptic Fourier Descriptors + */ + private void computeEllipticFD() { + + // the fourier descriptors + efd_ax = new double[nFD]; + efd_ay = new double[nFD]; + efd_bx = new double[nFD]; + efd_by = new double[nFD]; + + // preconfigure some values + final double t = 2.0 * Math.PI / m; + final double twoOverM = 2.0 / m; + // step through each FD + for (int k = 0; k < nFD; k++) { + // and for each point + for (int i = 0; i < m; i++) { + final double p = k * t * i; + final double sin = FastMath.sin(p); + final double cos = FastMath.cos(p); + efd_ax[k] += xy[i].x * cos; + efd_bx[k] += xy[i].x * sin; + efd_ay[k] += xy[i].y * cos; + efd_by[k] += xy[i].y * sin; + } // i-loop through the number of points + + efd_ax[k] *= twoOverM; + efd_bx[k] *= twoOverM; + efd_ay[k] *= twoOverM; + efd_by[k] *= twoOverM; + + } + + // now compute the elliptic fourier descriptors as per Thomas Boudier's + // implementation + efd = new double[nFD]; + final int first = 1; // index of the normalization values + // precompute the denominators + final double denomA = (efd_ax[first] * efd_ax[first]) + (efd_ay[first] * efd_ay[first]); + final double denomB = (efd_bx[first] * efd_bx[first]) + (efd_by[first] * efd_by[first]); + for (int k = 0; k < nFD; k++) { + efd[k] = Math.sqrt((efd_ax[k] * efd_ax[k] + efd_ay[k] * efd_ay[k]) / denomA) + + Math.sqrt((efd_bx[k] * efd_bx[k] + efd_by[k] * efd_by[k]) / denomB); + } + } + + /** + * Returns the polygon computed using all of this instance's EFD coefficients. + * + * @return an array of (x,y) pairs that is the same length as the input polygon + * + */ + public Coordinate[] createPolygon() { + return createPolygon(nFD); + } + + /** + * Creates the polygon corresponding to the nth harmonic. + * + * @param n >= 2. + * @return an array of coordinates that has the same length as the input polygon + * vertices, and forms a closed ring + */ + public Coordinate[] createPolygon(int n) { + if (m == 0) { + return new Coordinate[0]; + } + n = Math.min(n, nFD); + Coordinate[] new_xy = new Coordinate[m + 1]; // NOTE +1 to close ring + final double t = 2.0 * Math.PI / m; + for (int i = 0; i < m; i++) { + new_xy[i] = new Coordinate(efd_ax[0] / 2.0, efd_ay[0] / 2.0); + + for (int k = 1; k < n; k++) { + final double p = t * k * i; + final double sin = FastMath.sin(p); + final double cos = FastMath.cos(p); + new_xy[i].x += efd_ax[k] * cos + efd_bx[k] * sin; + new_xy[i].y += efd_ay[k] * cos + efd_by[k] * sin; + } + } + + new_xy[m] = new_xy[0].copy(); // close ring + return new_xy; + } + + /** + * Computes pairwise euclidean distance between two descriptors (of equal + * length). + */ + public static double computeEFDDistance(double[] efd1, double[] efd2) { + if (efd1.length != efd2.length) { + throw new IllegalArgumentException(String.format("EFDs must be of the same length: %s vs %s", efd1.length, efd2.length)); + } + double sum = 0.0; + // ignore first 2 components + for (int i = 2; i < efd1.length; i++) { + double diff = efd1[i] - efd2[i]; + sum += diff * diff; + } + return Math.sqrt(sum); + } + +} \ No newline at end of file From 52ac2c7673352235a74a3c03aba751395af30a35 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 26 Jun 2023 09:48:40 +0100 Subject: [PATCH 59/88] add nodeNonMesh --- CHANGELOG.md | 3 +- src/main/java/micycle/pgs/PGS.java | 7 ++- src/main/java/micycle/pgs/PGS_Coloring.java | 58 +++++-------------- src/main/java/micycle/pgs/PGS_Meshing.java | 30 +++++++++- src/main/java/micycle/pgs/PGS_Morphology.java | 21 ------- 5 files changed, 51 insertions(+), 68 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index e5295a37..95d91b56 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -34,11 +34,12 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Additional method signature for `PGS_Processing.fromPVector()` that accepts a random seed. * `visibilityPolygon()` to `PGS_Optimisation`. Computes the area visible from a given point in a space, considering occlusions caused by obstacles. * Additional method signature for `PGS_CirclePacking.stochasticPack()` that accepts a random seed. -* `smoothMesh()` to `PGS_Meshing`. Smoothes a mesh via iterative weighted Laplacian smoothing. * `filterChildren()` to `PGS_Processing`. Filters the children of a shape object based on a given Predicate function. * `fromGraph()` to `PGS_Conversion`. Converts a graph consisting of PVectors and PEdges into a PShape by polygonizing its edges. +* `smoothMesh()` to `PGS_Meshing`. Smoothes a mesh via iterative weighted Laplacian smoothing. * `stochasticMerge()` to `PGS_Meshing`. Randomly merges together adjacent faces of a mesh. * `simplifyMesh()` to `PGS_Meshing`. Simplifies the boundaries of the faces in a mesh while preserving the original mesh topology. +* `nodeNonMesh()` to `PGS_Meshing`. Transforms a non-conforming mesh shape into a conforming mesh via "noding". * `toCircles()` to `PGS_Conversion`. Creates a PShape having circle geometries representing a collection of circles. * `fromPShape()` to `PGS_SegmentSet`. Extracts a list of unique PEdge segments representing the given shape. * `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. diff --git a/src/main/java/micycle/pgs/PGS.java b/src/main/java/micycle/pgs/PGS.java index 24c661bf..00a627db 100644 --- a/src/main/java/micycle/pgs/PGS.java +++ b/src/main/java/micycle/pgs/PGS.java @@ -242,7 +242,7 @@ static final PShape polygonizeEdges(Collection edges) { * @return a GROUP PShape, where each child shape represents a polygon face * formed by the given edges */ - public static final PShape polygonizeSegments(Collection segments, boolean node) { + static final PShape polygonizeSegments(Collection segments, boolean node) { if (node) { segments = nodeSegmentStrings(segments); } @@ -299,7 +299,7 @@ static final Collection nodeSegmentStrings(Collection rings = new ArrayList<>(g.getNumGeometries()); for (int i = 0; i < g.getNumGeometries(); i++) { Polygon poly = (Polygon) g.getGeometryN(i); +// if (poly.getNumPoints() == 0) { +// continue; +// } rings.add(poly.getExteriorRing()); for (int j = 0; j < poly.getNumInteriorRing(); j++) { rings.add(poly.getInteriorRingN(j)); diff --git a/src/main/java/micycle/pgs/PGS_Coloring.java b/src/main/java/micycle/pgs/PGS_Coloring.java index 03ad0165..09c1560e 100644 --- a/src/main/java/micycle/pgs/PGS_Coloring.java +++ b/src/main/java/micycle/pgs/PGS_Coloring.java @@ -1,8 +1,6 @@ package micycle.pgs; -import java.util.ArrayList; import java.util.Collection; -import java.util.List; import java.util.Map; import org.jgrapht.alg.color.ColorRefinementAlgorithm; @@ -13,37 +11,34 @@ import org.jgrapht.alg.interfaces.VertexColoringAlgorithm.Coloring; import org.jgrapht.graph.AbstractBaseGraph; import org.jgrapht.graph.DefaultEdge; -import org.locationtech.jts.noding.SegmentString; - import it.unimi.dsi.util.XoRoShiRo128PlusRandom; + import micycle.pgs.color.RGB; import micycle.pgs.commons.GeneticColoring; import micycle.pgs.commons.RLFColoring; import processing.core.PShape; -import processing.core.PVector; /** - * Intelligently color meshes (or mesh-like shapes) such that no two adjacent - * faces have the same color, while minimising the number of colors used. + * This class provides methods to color meshes and mesh-like shapes. It ensures + * that no two adjacent faces share the same color while also minimizing the + * total number of colors used. *

    - * The methods in this class distinguish between mesh-like shapes (conforming - * meshes) and non-mesh-like shapes (non-conforming meshes). This - * distinction is necessary because shapes that represent non-conforming meshes - * require a single step of pre-processing ("noding") to first split edges - * before coloring. The difference is described below: + * This class differentiates between "conforming meshes" and "non-conforming + * meshes". * *

    - * Conforming Meshes : Consists of adjacent cells that not only share - * edges, but every pair of shared edges are identical (having the same - * coordinates) (such as a triangulation).
    - * Non-Conforming Meshes : Consists of adjacent cells that share edges + * Conforming Meshes : Consist of adjacent cells that share edges and + * every pair of shared edges are identical, meaning they have the same + * coordinates. An example of a conforming mesh is a triangulation.
    + * Non-Conforming Meshes : Consist of adjacent cells that share edges * (i.e. edges may overlap) but adjacent edges do not necessarily have identical * start and end coordinates. *

    + * For a non-conforming mesh, a pre-processing step called "noding" is required + * to split edges before coloring. * * @author Michael Carleton * @since 1.2.0 - * */ public final class PGS_Coloring { @@ -178,7 +173,7 @@ public static PShape colorMesh(PShape shape, ColoringAlgorithm coloringAlgorithm * color class (integer) */ public static Map colorNonMesh(PShape shape, ColoringAlgorithm coloringAlgorithm) { - final PShape mesh = nodeNonMesh(shape); + final PShape mesh = PGS_Meshing.nodeNonMesh(shape); return colorMesh(mesh, coloringAlgorithm); } @@ -194,7 +189,7 @@ public static Map colorNonMesh(PShape shape, ColoringAlgorithm * colored) */ public static PShape colorNonMesh(PShape shape, ColoringAlgorithm coloringAlgorithm, int[] colorPalette) { - final PShape mesh = nodeNonMesh(shape); + final PShape mesh = PGS_Meshing.nodeNonMesh(shape); colorMesh(mesh, coloringAlgorithm, colorPalette); PGS_Conversion.setAllStrokeColor(mesh, RGB.WHITE, 2); return mesh; @@ -213,7 +208,7 @@ public static PShape colorNonMesh(PShape shape, ColoringAlgorithm coloringAlgori * colored) */ public static PShape colorNonMesh(PShape shape, ColoringAlgorithm coloringAlgorithm, String[] colorPalette) { - final PShape mesh = nodeNonMesh(shape); + final PShape mesh = PGS_Meshing.nodeNonMesh(shape); colorMesh(mesh, coloringAlgorithm, colorPalette); PGS_Conversion.setAllStrokeColor(mesh, RGB.WHITE, 2); return mesh; @@ -257,27 +252,4 @@ private static Coloring findColoring(Collection shapes, Coloring return coloring; } - /** - * Converts a non-conforming mesh shape into a conforming mesh by "noding" it. - * This essentially means splitting edges into two at points where they - * intersect (touch) another edge. - * - * @param shape a GROUP PShape - * @return the input shape, having been noded and polygonized - */ - private static PShape nodeNonMesh(PShape shape) { - final List segmentStrings = new ArrayList<>(shape.getChildCount() * 3); - - for (PShape face : shape.getChildren()) { - for (int i = 0; i < face.getVertexCount(); i++) { - final PVector a = face.getVertex(i); - final PVector b = face.getVertex((i + 1) % face.getVertexCount()); - if (!a.equals(b)) { - segmentStrings.add(PGS.createSegmentString(a, b)); - } - } - } - return PGS.polygonizeSegments(segmentStrings, true); - } - } diff --git a/src/main/java/micycle/pgs/PGS_Meshing.java b/src/main/java/micycle/pgs/PGS_Meshing.java index 93a5e2f8..a139bf1e 100644 --- a/src/main/java/micycle/pgs/PGS_Meshing.java +++ b/src/main/java/micycle/pgs/PGS_Meshing.java @@ -25,6 +25,7 @@ import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.index.strtree.STRtree; +import org.locationtech.jts.noding.SegmentString; import org.locationtech.jts.operation.overlayng.OverlayNG; import org.tinfour.common.IConstraint; import org.tinfour.common.IIncrementalTin; @@ -53,7 +54,7 @@ * triangulation; you may first generate such a triangulation from a shape using * the * {@link PGS_Triangulation#delaunayTriangulationMesh(PShape, Collection, boolean, int, boolean) - * delaunayTriangulationMesh()} method + * delaunayTriangulationMesh()} method. * * @author Michael Carleton * @since 1.2.0 @@ -562,6 +563,33 @@ public static PShape spiralQuadrangulation(List points) { return PGS.polygonizeEdges(sq.getQuadrangulationEdges()); } + /** + * Transforms a non-conforming mesh shape into a conforming mesh by + * performing a "noding" operation. "noding" refers to the process of splitting + * edges into two at points where they intersect or touch another edge. It is a + * way of ensuring consistency and accuracy in the spatial topology of the mesh. + * + * @param shape a GROUP PShape which represents a mesh-like shape, but one that + * isn't conforming (i.e. adjacent edges do not necessarily have + * identical start and end coordinates) + * @return the input shape, having been noded and polygonized + * @since public since 1.3.1 + */ + public static PShape nodeNonMesh(PShape shape) { + final List segmentStrings = new ArrayList<>(shape.getChildCount() * 3); + + for (PShape face : shape.getChildren()) { + for (int i = 0; i < face.getVertexCount(); i++) { + final PVector a = face.getVertex(i); + final PVector b = face.getVertex((i + 1) % face.getVertexCount()); + if (!a.equals(b)) { + segmentStrings.add(PGS.createSegmentString(a, b)); + } + } + } + return PGS.polygonizeSegments(segmentStrings, true); + } + /** * Randomly merges together / dissolves adjacent faces of a mesh. *

    diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index 590bbe15..ed637700 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -501,27 +501,6 @@ public static PShape smoothEllipticFourier(PShape shape, int descriptors) { } } - public static double[][] coordsToDoubles(Coordinate[] coordinates) { - double[][] result = new double[coordinates.length][2]; - - for (int i = 0; i < coordinates.length; i++) { - result[i][0] = coordinates[i].x; - result[i][1] = coordinates[i].y; - } - - return result; - } - - public static Coordinate[] doublesToCoords(double[][] doubles) { - Coordinate[] result = new Coordinate[doubles.length]; - - for (int i = 0; i < doubles.length; i++) { - result[i] = new Coordinate(doubles[i][0], doubles[i][1]); - } - - return result; - } - /** * Modifies the corners of a specified shape by replacing each angular corner * with a smooth, circular arc. The radius of each arc is determined From ff89e560374b3e0a82d5083a44720c170fcc35cb Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 26 Jun 2023 14:38:40 +0100 Subject: [PATCH 60/88] count holes in polygon coverages --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_ShapeBoolean.java | 11 ++++++++- .../java/micycle/pgs/PGS_ShapePredicates.java | 24 +++++++++++++++++-- .../micycle/pgs/PGS_ShapePredicatesTests.java | 15 ++++++++---- 4 files changed, 43 insertions(+), 8 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 95d91b56..f0360160 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -80,6 +80,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `PGS_ShapeBoolean.unionMesh()` now handles meshes with holes correctly (holes were filled in previously). * `PGS_Processing.extractPerimeter()` now behaves as expected when perimeter location values are negative. * Positive-valued offset arguments passed to `point[s]OnExterior()` methods could incorrectly produce offsets towards the interior of a shape. Such values will now always correspond to offset **away** from a shape's interior. +* `PGS_ShapePredicates.holes()` now identifies and counts gaps in meshes as holes. ### Removed * diff --git a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java index 972bf833..16741847 100644 --- a/src/main/java/micycle/pgs/PGS_ShapeBoolean.java +++ b/src/main/java/micycle/pgs/PGS_ShapeBoolean.java @@ -135,7 +135,7 @@ public static PShape union(final PShape a, final PShape b) { * @see #union(PShape, PShape) For a union operation on two shapes. * @see #union(PShape...) For union operations on a variable number of shapes. */ - public static PShape union(final List shapes) { + public static PShape union(final Collection shapes) { Collection polygons = new ArrayList<>(); shapes.forEach(s -> polygons.add(fromPShape(s))); return toPShape(UnaryUnionOp.union(polygons)); @@ -156,6 +156,15 @@ public static PShape union(final List shapes) { public static PShape union(PShape... shapes) { return union(Arrays.asList(shapes)); } + + /** + * @see #unionMesh(PShape) + * @param faces collection of faces comprising a mesh + * @return A single PShape representing the boundary of the mesh. + */ + public static PShape unionMesh(final Collection faces) { + return unionMesh(PGS_Conversion.flatten(faces)); + } /** * Merges a mesh-like PShape (i.e., a GROUP PShape whose children represent diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index ae168fb1..c7e7443d 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -17,6 +17,7 @@ import org.locationtech.jts.algorithm.construct.MaximumInscribedCircle; import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; import org.locationtech.jts.algorithm.match.HausdorffSimilarityMeasure; +import org.locationtech.jts.coverage.CoverageUnion; import org.locationtech.jts.coverage.CoverageValidator; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; @@ -428,14 +429,32 @@ public static double convexity(PShape shape) { /** * Counts the number of holes in a shape. + *

    + * If the shape forms a polygon coverage (a mesh), then this method will count + * holes from gaps within the mesh. * * @param shape a polygonal shape (can be a GROUP shape having multiple * polygons) * @return total number of holes in the shape */ public static int holes(PShape shape) { + Geometry g = fromPShape(shape); + + /* + * Attempt to convert to a polygon coverage to identify and count mesh holes. + */ + if (g.getNumGeometries() > 2) { // only 3 or more faces can form a mesh hole + Geometry[] geoms = new Geometry[g.getNumGeometries()]; + for (int i = 0; i < g.getNumGeometries(); i++) { + geoms[i] = g.getGeometryN(i); + } + if (CoverageValidator.isValid(geoms)) { + g = CoverageUnion.union(geoms); + } + } + @SuppressWarnings("unchecked") - List polygons = PolygonExtracter.getPolygons(fromPShape(shape)); + List polygons = PolygonExtracter.getPolygons(g); int holes = 0; for (Polygon p : polygons) { @@ -565,7 +584,8 @@ public static boolean isConvex(PShape shape) { } /** - * Determines whether a GROUP shape forms a conforming mesh / valid coverage. + * Determines whether a GROUP shape forms a conforming mesh / valid polygon + * coverage. *

    * Conforming meshes comprise faces that do not intersect; any adjacent faces * not only share edges, but every pair of shared edges are identical diff --git a/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java b/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java index faa6ebae..08c5b650 100644 --- a/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java +++ b/src/test/java/micycle/pgs/PGS_ShapePredicatesTests.java @@ -9,7 +9,7 @@ import processing.core.PVector; class PGS_ShapePredicatesTests { - + private static final double EPSILON = 1E-4; static PShape square, triangle; @@ -45,10 +45,10 @@ void testCentroid() { assertEquals(new PVector(5, 5), PGS_ShapePredicates.centroid(square)); assertEquals(new PVector(0, 0), PGS_ShapePredicates.centroid(triangle)); } - + @Test void testDiameter() { - assertEquals(10*Math.sqrt(2), PGS_ShapePredicates.diameter(square), EPSILON); + assertEquals(10 * Math.sqrt(2), PGS_ShapePredicates.diameter(square), EPSILON); } @Test @@ -56,7 +56,7 @@ void testMaximumInteriorAngle() { assertEquals(Math.PI / 2, PGS_ShapePredicates.maximumInteriorAngle(square)); assertEquals(Math.PI / 3, PGS_ShapePredicates.maximumInteriorAngle(triangle), EPSILON); } - + @Test void testHoles() { assertEquals(0, PGS_ShapePredicates.holes(square)); @@ -64,7 +64,12 @@ void testHoles() { assertEquals(1, PGS_ShapePredicates.holes(withHole)); PShape groupHoles = PGS_Conversion.flatten(withHole, withHole); assertEquals(2, PGS_ShapePredicates.holes(groupHoles)); - + + PShape coverage = PGS_Processing.split(withHole); // test coverage; no face has a hole, but together they form a mesh with a hole + assertEquals(1, PGS_ShapePredicates.holes(coverage)); + + coverage.removeChild(0); // remove a mesh face; mesh no longer forms a hole + assertEquals(0, PGS_ShapePredicates.holes(coverage)); } } From e2c5290e86d817fcd569659179997a66ac34622b Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 26 Jun 2023 16:04:57 +0100 Subject: [PATCH 61/88] add areaMerge --- CHANGELOG.md | 1 + README.md | 2 + resources/meshing/areaMerge.gif | Bin 0 -> 258521 bytes resources/meshing/simplifyMesh.gif | Bin 2444628 -> 1318895 bytes src/main/java/micycle/pgs/PGS_Meshing.java | 29 +- .../java/micycle/pgs/commons/AreaMerge.java | 256 ++++++++++++++++++ .../java/micycle/pgs/PGS_MeshingTests.java | 27 ++ 7 files changed, 310 insertions(+), 5 deletions(-) create mode 100644 resources/meshing/areaMerge.gif create mode 100644 src/main/java/micycle/pgs/commons/AreaMerge.java create mode 100644 src/test/java/micycle/pgs/PGS_MeshingTests.java diff --git a/CHANGELOG.md b/CHANGELOG.md index f0360160..25bd3e5f 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -51,6 +51,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `binPack()` to `PGS_Optimisation`. Packs irregular polygonal shapes into rectangular containers (bins). * `smoothEllipticFourier()` to `PGS_Morphology`. Smoothes a shape using its elliptic fourier descriptors. * `efdSimilarity()` to `PGS_ShapePredicates`. Quantifies the similarity between two shapes, using elliptic fourier descriptors. +* `areaMerge()` to `PGS_Meshing`. Merges/dissolves small faces of a mesh into their neighboring faces. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 753b2d78..def7b31b 100644 --- a/README.md +++ b/README.md @@ -532,10 +532,12 @@ Much of the functionality (but by no means all) is demonstrated below: Mesh Simplification Stochastic Merge + Area Merge + diff --git a/resources/meshing/areaMerge.gif b/resources/meshing/areaMerge.gif new file mode 100644 index 0000000000000000000000000000000000000000..2879f44371cd817f3907e85103bd015c9f041991 GIT binary patch literal 258521 zcmV)1K+V5LNk%w1Ve|p?0rVdL?m(#i_xt|({qIb!{M_&S<@5A`#_Tkr^^?x`qt*Gp z;r{*p{_*+jGo$#h+woqu@@~EQ%IE#;_WRW9{{H?_5mMJJmuwbaw41ejE#f> z)w+Z##s^qgl8s^ZD}@LEFdSWb1gOxn?fTJW(LtRAw-g8ru%LFYk(UMpq$GgWLWQ}8 zO&|sw_yNDjMz})ox)`AacN;N_xCwwDWe5#=iWX9G^H&FGu|iz^fkQ>g6c9$G4aD|? zzh4U^XuM%|!y;4H{} zFnaJhUf$&{`~XOWS_8V~P64%E_&c=5A6{vFCy{!$4QSc_djQ@59eV>x5Ee+Pag@#h z$_+@tV30NFpkEqZQ~+urb!ZN9>&&O2MjrA2Vu%+ZP!xmQa6r)jRfR}EJ1z21&vr0k 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zFpa6cHa5i6d_7G`aoXAtGho#elVDD4iTK;a7Mb}{iK+1-oX|M(VFZ^vkm)5*rlW6g wamVUK79z204W&1;vjZFt0|Edc{uNDOWMv?CX>@2HQ)6;vWo}e&M`>mNI}#!ly8r+H diff --git a/src/main/java/micycle/pgs/PGS_Meshing.java b/src/main/java/micycle/pgs/PGS_Meshing.java index a139bf1e..af4e3c72 100644 --- a/src/main/java/micycle/pgs/PGS_Meshing.java +++ b/src/main/java/micycle/pgs/PGS_Meshing.java @@ -35,9 +35,10 @@ import org.tinfour.utils.TriangleCollector; import org.tinspin.index.PointIndex; import org.tinspin.index.kdtree.KDTree; - import it.unimi.dsi.util.XoRoShiRo128PlusRandomGenerator; + import micycle.pgs.color.RGB; +import micycle.pgs.commons.AreaMerge; import micycle.pgs.commons.IncrementalTinDual; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.PMesh; @@ -577,7 +578,7 @@ public static PShape spiralQuadrangulation(List points) { */ public static PShape nodeNonMesh(PShape shape) { final List segmentStrings = new ArrayList<>(shape.getChildCount() * 3); - + for (PShape face : shape.getChildren()) { for (int i = 0; i < face.getVertexCount(); i++) { final PVector a = face.getVertex(i); @@ -684,9 +685,9 @@ public static PShape smoothMesh(PShape mesh, int iterations, boolean preservePer * @param mesh GROUP shape comprising the faces of a conforming * mesh * @param tolerance the simplification tolerance for area-based - * simplification. Roughly to the maximumdistance by - * which a simplified line can change from the - * original. + * simplification. Roughly equal to the maximum + * distance by which a simplified line can change from + * the original. * @param preservePerimeter whether to only simplify inner-boundaries and * leaving outer boundary edges unchanged. * @return GROUP shape comprising the simplfied mesh faces @@ -704,6 +705,24 @@ public static PShape simplifyMesh(PShape mesh, double tolerance, boolean preserv return PGS_Conversion.toPShape(Arrays.asList(output)); } + /** + * Recursively merges smaller faces of a mesh into their adjacent faces. The + * procedure continues until there are no resulting faces with an area smaller + * than the specified threshold. + * + * @param mesh a GROUP shape representing a conforming mesh the mesh to + * perform area merging on + * @param areaThreshold The maximum permissible area threshold for merging + * faces. Any faces smaller than this threshold will be + * consolidated into their neighboring faces. + * @return GROUP shape comprising the merged mesh faces + * @since 1.3.1 + */ + public static PShape areaMerge(PShape mesh, double areaThreshold) { + PShape merged = AreaMerge.areaMerge(mesh, areaThreshold); + return merged; + } + /** * Calculate the longest edge of a given triangle. */ diff --git a/src/main/java/micycle/pgs/commons/AreaMerge.java b/src/main/java/micycle/pgs/commons/AreaMerge.java new file mode 100644 index 00000000..c58561fe --- /dev/null +++ b/src/main/java/micycle/pgs/commons/AreaMerge.java @@ -0,0 +1,256 @@ +package micycle.pgs.commons; + +import java.util.Collection; +import java.util.HashMap; +import java.util.HashSet; +import java.util.Map; +import java.util.Map.Entry; +import java.util.Objects; +import java.util.Set; +import java.util.TreeSet; +import java.util.stream.Collectors; +import org.jgrapht.Graph; +import org.jgrapht.Graphs; +import org.jgrapht.alg.util.NeighborCache; +import org.jgrapht.alg.util.Pair; +import org.jgrapht.graph.DefaultEdge; +import org.jgrapht.graph.SimpleGraph; + +import micycle.pgs.PGS_Conversion; +import micycle.pgs.PGS_ShapeBoolean; +import micycle.pgs.PGS_ShapePredicates; +import processing.core.PShape; + +/** + * The AreaMerge class provides a method to recursive merge smaller faces of a + * mesh into their adjacent faces. The procedure continues until there are no + * resulting faces with an area smaller than the specified threshold. + * + * @author Michael Carleton + */ +public class AreaMerge { + + private AreaMerge() { + } + + /** + * Recursively merges smaller faces of a mesh into their adjacent faces. The + * procedure continues until there are no resulting faces with an area smaller + * than the specified threshold. + * + * @param mesh + * @param areaThreshold + * @return + */ + public static PShape areaMerge(PShape mesh, double areaThreshold) { + SimpleGraph graph = PGS_Conversion.toDualGraph(mesh); + NeighborCache neighborCache = new NeighborCache<>(graph); + + Map initialFaceMap = new HashMap<>(graph.vertexSet().size()); + SimpleGraph groupsGraph = new SimpleGraph<>(DefaultEdge.class); + TreeSet smallGroups = new TreeSet<>(); // groups having area < areaThreshold + for (PShape face : graph.vertexSet()) { + double area = PGS_ShapePredicates.area(face); + FaceGroup f = new FaceGroup(face, area, neighborCache); + initialFaceMap.put(face, f); + groupsGraph.addVertex(f); + + if (area < areaThreshold) { + smallGroups.add(f); + } + } + + graph.edgeSet().forEach(e -> { + PShape a = graph.getEdgeSource(e); + PShape b = graph.getEdgeTarget(e); + /* + * Now add edges to the neighboring groups graph. Initially the groups have the + * same topology as the faces, since each group comprises one face. + */ + groupsGraph.addEdge(initialFaceMap.get(a), initialFaceMap.get(b)); + }); + + while (!smallGroups.isEmpty()) { + final FaceGroup toMerge = smallGroups.pollFirst(); + Collection neighbors = Graphs.neighborSetOf(groupsGraph, toMerge); + + // find smallest neighbor of the toMerge face +// FaceGroup smallestNeighbor = neighbors.stream().min((a, b) -> Double.compare(a.area, b.area)).orElse(null); + FaceGroup smallestNeighbor = Graphs.neighborListOf(groupsGraph, toMerge).get(0); + if (smallestNeighbor == null) { + break; // exit merging + } + + smallestNeighbor.mergeWith(toMerge); // merge face groups + mergeVertices(groupsGraph, smallestNeighbor, toMerge); // update topology + + if (smallestNeighbor.area > areaThreshold) { + smallGroups.remove(smallestNeighbor); + } else { + // re-insert and order the new group +// smallGroups.remove(smallestNeighbor); +// smallGroups.add(smallestNeighbor); + } + } + + final boolean hasHoles = PGS_ShapePredicates.holes(mesh) > 0; + return PGS_Conversion.flatten(groupsGraph.vertexSet().stream().map(g -> { + if (hasHoles) { + return PGS_ShapeBoolean.unionMesh(g.faces.keySet()); + } else { + return PGS_ShapeBoolean.unionMeshWithoutHoles(g.faces.keySet()); + } + }).collect(Collectors.toList())); + } + + /** + * Removes a vertex remove from the graph, but points all of its + * incoming edges towards vertex keep, essentially merging the two + * vertices. + */ + private static void mergeVertices(Graph graph, V keep, V remove) { + if (graph == null || keep == null || remove == null) { + throw new IllegalArgumentException("Arguments cannot be null"); + } + if (!graph.containsVertex(keep) || !graph.containsVertex(remove)) { + throw new IllegalArgumentException("Both vertices should be in the graph"); + } + + // Move all edges to the 'keep' vertex and remove the 'remove' vertex + for (E edge : graph.edgesOf(remove)) { + Pair endpoints = Pair.of(graph.getEdgeSource(edge), graph.getEdgeTarget(edge)); + + // Determine the 'other' vertex + V other = endpoints.getFirst().equals(remove) ? endpoints.getSecond() : endpoints.getFirst(); + + // Only create a new edge if it doesn't already exist and isn't a self-loop + if (!other.equals(keep) && !graph.containsEdge(keep, other)) { + graph.addEdge(keep, other); + } + } + + // Finally, remove the 'remove' vertex + graph.removeVertex(remove); + } + + /** + * Models a merged group of faces. + */ + static class FaceGroup implements Comparable { + + private double area; + private Map faces; // faces comprising this group (and their areas) + private Set neighborFaces; // union of neighbors of each face - faces themselves + private final NeighborCache neighborCache; + + FaceGroup(PShape initial, double area, NeighborCache meshNeighborCache) { + this.faces = new HashMap<>(); + this.neighborFaces = new HashSet<>(); + this.neighborCache = meshNeighborCache; + addFace(initial, area); + } + + /** + * @return true if the face is unique and new to the facegroup + */ + public boolean addFace(PShape face, double area) { + if (face == null) { +// System.err.println("Tried to add null face."); + return false; + } +// if (!faces.isEmpty() && !neighborFaces.contains(face)) { +// System.err.println("Tried to add a face that is not a neighboring face of the group."); +// return false; +// } + if (!faces.containsKey(face)) { + faces.put(face, area); + this.area += area; +// recomputeNeighbors(face); + return true; + } + return false; + } + + private void recomputeNeighbors(PShape face) { + neighborFaces.addAll(neighborCache.neighborsOf(face)); + /* + * Now remove any of the group's own faces from the neighbours. + */ + neighborFaces.removeAll(faces.keySet()); + } + + private void recomputeNeighbors() { + neighborFaces.clear(); + for (PShape face : faces.keySet()) { + neighborFaces.addAll(neighborCache.neighborsOf(face)); + } + neighborFaces.removeAll(faces.keySet()); + } + + /** + * Merges another facegroup into this one. + */ + public boolean mergeWith(FaceGroup other) { +// if (!neighbors(other)) { +// return false; +// } + boolean changed = false; + for (Entry faceEntry : other.faces.entrySet()) { + changed = changed | addFace(faceEntry.getKey(), faceEntry.getValue()); + } + + return changed; + } + + /** + * @return true if this and the other facegroup have no faces in common + */ + public boolean disjoint(FaceGroup other) { + Set myFaces = new HashSet<>(faces.keySet()); + myFaces.retainAll(other.faces.keySet()); + return myFaces.isEmpty(); + } + + public boolean neighbors(PShape face) { + return neighborFaces.contains(face); + } + + /** + * @param facegroup + * @return true if the groups are disjoint and neighborFaces each other + */ + public boolean neighbors(FaceGroup facegroup) { + if (!disjoint(facegroup)) { + return false; + } + for (PShape face : facegroup.faces.keySet()) { + if (neighborFaces.contains(face)) { + return true; + } + } + return false; + } + + public boolean hasFace(PShape face) { + return faces.keySet().contains(face); + } + + @Override + public int compareTo(FaceGroup o) { + return Double.compare(this.area, o.area); + } + + @Override + public boolean equals(Object obj) { + if (this == obj) { + return true; + } + if (obj == null || getClass() != obj.getClass()) { + return false; + } + FaceGroup other = (FaceGroup) obj; + return Objects.equals(faces, other.faces); + } + } + +} diff --git a/src/test/java/micycle/pgs/PGS_MeshingTests.java b/src/test/java/micycle/pgs/PGS_MeshingTests.java new file mode 100644 index 00000000..8fc8e434 --- /dev/null +++ b/src/test/java/micycle/pgs/PGS_MeshingTests.java @@ -0,0 +1,27 @@ +package micycle.pgs; + +import static org.junit.Assert.assertEquals; +import static org.junit.Assert.assertTrue; + +import java.util.List; + +import org.junit.jupiter.api.Test; + +import processing.core.PShape; + +public class PGS_MeshingTests { + + @Test + void testAreaMerge() { + PShape mesh = PGS_Triangulation.delaunayTriangulation(PGS_PointSet.random(0, 0, 1000, 1000, 1111, 0)); + List faces = PGS_Conversion.getChildren(mesh); + faces.sort((a, b) -> Double.compare(PGS_ShapePredicates.area(a), PGS_ShapePredicates.area(b))); + double areaThreshold = PGS_ShapePredicates.area(faces.get(faces.size() / 2)); + + PShape mergedMesh = PGS_Meshing.areaMerge(mesh, areaThreshold); + assertTrue(PGS_Conversion.getChildren(mergedMesh).stream().allMatch(f -> PGS_ShapePredicates.area(f) >= areaThreshold)); + assertTrue(faces.size() >= mergedMesh.getChildCount()); + assertEquals(PGS_ShapePredicates.area(mesh), PGS_ShapePredicates.area(mergedMesh), 1e-6); + } + +} From 4b33480d2358a5ca107107f5c77af3e8a2ae6db1 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 1 Jul 2023 19:22:55 +0100 Subject: [PATCH 62/88] add createSponge() and createSuperRandomPolygon() --- CHANGELOG.md | 2 + README.md | 2 + pom.xml | 5 + resources/pgs/srpg.gif | Bin 0 -> 71951 bytes .../java/micycle/pgs/PGS_Construction.java | 99 ++++++++++++++++++ 5 files changed, 108 insertions(+) create mode 100644 resources/pgs/srpg.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 25bd3e5f..c3bcfdcf 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -52,6 +52,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `smoothEllipticFourier()` to `PGS_Morphology`. Smoothes a shape using its elliptic fourier descriptors. * `efdSimilarity()` to `PGS_ShapePredicates`. Quantifies the similarity between two shapes, using elliptic fourier descriptors. * `areaMerge()` to `PGS_Meshing`. Merges/dissolves small faces of a mesh into their neighboring faces. +* `createSponge()` to `PGS_Construction`. Creates a sponge-like porous structure. +* `createSuperRandomPolygon()` to `PGS_Construction`. Generates a highly customisable random polygon based on a square grid of cells. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index def7b31b..44d10000 100644 --- a/README.md +++ b/README.md @@ -762,8 +762,10 @@ Much of the functionality (but by no means all) is demonstrated below: Gear + Super Random Polygon + diff --git a/pom.xml b/pom.xml index 646d58b5..db2c6298 100644 --- a/pom.xml +++ b/pom.xml @@ -342,6 +342,11 @@ Dalsoo-Bin-Packing bde2a3ef09 + + com.github.micycle1 + SRPG + 1.0 + diff --git a/resources/pgs/srpg.gif b/resources/pgs/srpg.gif new file mode 100644 index 0000000000000000000000000000000000000000..5f9b8b8586f17d9e4446e6c20d89206b55ad74a8 GIT binary patch literal 71951 zcmd?P^;eYN7qETbGXo4m&Ctz|($XD6cXxw;fTAJ|BF+%fN`vH(0-|(-3?U&Q2nr$% zDygI(>iB%V@4KGA;#up|k7u2;*Is*F*VZ%8RZ#Re1JA%o03Z^HzkmPvZ@sv_VS9dw7jFO?V+UPAS!CY z$*IA}s7ym6i$F*MfFJ}S41qv=9KtTWixPQT5UjOZ) z|4rb3*8t!|Ko!oe--sWGh0_T;k2RJJB_MeXi}ahy-=r{0-&!7Psu+EW)=FkKXs#U3 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z2siD<8Ok#zdzbI7wh4a6w@*U*ej+@Q<9Up@0FJ$pAWeW`z$}0C_?s0sL?v zkLpyS1*}H_@)#hM(!;>x>NJ6ER>olfE#=Y@#~T6=-~jn72-2waMFwn#D5ruFb0A=r z1QaGVsRX7&9`*nO9KZpigJ`8FP{=2erGv%!h*0$EQuZ3-FWjkBi*4DPS#cghN zyIbD&*0;X}Zg7P=T;dkjxW`3qa+SMW<~G;4&xLMu*A@@}A^sIjVPs_>cWHEJAX8&< NWo2$uZ%1in06X$3SXlr7 literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_Construction.java b/src/main/java/micycle/pgs/PGS_Construction.java index 7f24b57c..975371dd 100644 --- a/src/main/java/micycle/pgs/PGS_Construction.java +++ b/src/main/java/micycle/pgs/PGS_Construction.java @@ -5,6 +5,8 @@ import java.util.ArrayList; import java.util.Collections; import java.util.List; +import java.util.Random; +import java.util.stream.Collectors; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.CoordinateList; @@ -23,6 +25,8 @@ import org.locationtech.jts.shape.fractal.SierpinskiCarpetBuilder; import org.locationtech.jts.util.GeometricShapeFactory; +import it.unimi.dsi.util.XoRoShiRo128PlusRandom; +import micycle.pgs.PGS_Contour.OffsetStyle; import micycle.pgs.color.RGB; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.RandomPolygon; @@ -33,6 +37,7 @@ import micycle.spacefillingcurves.SierpinskiTenSteps; import micycle.spacefillingcurves.SierpinskiThreeSteps; import micycle.spacefillingcurves.SpaceFillingCurve; +import micycle.srpg.SRPolygonGenerator; import net.jafama.FastMath; import processing.core.PConstants; import processing.core.PShape; @@ -537,6 +542,53 @@ public static PShape createRing(double centerX, double centerY, double outerRadi return out; } + /** + * Creates a sponge-like porous structure. + *

    + * The sponge structure is formed by randomly merging adjacent cells of a + * Voronoi tessellation and then smoothing them; the final structure is obtained + * by subtracting that result from a rectangle. + * + * @param width the width of the sponge bounds + * @param height the height of the sponge bounds + * @param generators the number of generator points for the underlying Voronoi + * tessellation. Should be >5. + * @param thickness thickness of sponge structure walls + * @param smoothing the cell smoothing factor which determines how rounded the + * cells are. a value of 6 is a good starting point. + * @param classes the number of classes to use for the cell merging process, + * where lower results in more merging (or larger "blob-like" + * shapes). + * @param seed the seed for the random number generator + * @return the sponge shape + * @since 1.3.1 + */ + public static PShape createSponge(double width, double height, int generators, double thickness, double smoothing, int classes, + long seed) { + // A Simple and Effective Geometric Representation for Irregular Porous + // Structure Modeling + List points = PGS_PointSet.random(thickness, thickness / 2, width - thickness / 2, height - thickness / 2, generators, + seed); + if (points.size() < 6) { + return new PShape(); + } + PShape voro = PGS_Voronoi.innerVoronoi(points, 2); + + List blobs = PGS_Conversion.getChildren(PGS_Meshing.stochasticMerge(voro, classes, seed)).stream().map(c -> { + c = PGS_Morphology.buffer(c, -thickness / 2, OffsetStyle.MITER); + c = PGS_Morphology.smoothGaussian(c, smoothing); + return c; + }).collect(Collectors.toList()); + + /* + * Although faster, can't use .simpleSubtract() here because holes (cell + * islands) are *sometimes* nested. + */ + PShape s = PGS_ShapeBoolean.subtract(PGS.createRect(0, 0, width, height), PGS_Conversion.flatten(blobs)); + s.setStroke(false); + return s; + } + /** * Creates an linear/archimedean spiral shape, where the distance between any 2 * successive windings is constant. @@ -739,6 +791,53 @@ public static PShape createRandomSFCurve(int nColumns, int nRows, double cellWid return curve; } + /** + * Generates a highly customisable random polygon based on a square grid of NxN cells. + *

    + * The number of vertices of the polygon generated is not configurable, but + * depends on the size of cells and the percentage + * markPercent: for larger values of cells, the more + * vertices the polygon tends to have for a given markPercent. + *

    + * Visually pleasing "random" polygons can be achieved by selecting fairly small + * values for markFraction, e.g., markFraction=0.1 or even + * markPercent=0.01. + * + * @param dimensions pixel dimensions of the polygon in its longest axis. + * @param cells the number of cells in the X and Y directions of the + * grid. + * @param markFraction The fraction of vertices marked on the grid. The larger + * the percentage, the more vertices the polygon tends to + * have. Should generally be between 0...0.5. + * @param holes If true, generates a holes in the polygon. + * @param orthogonal Whether the polygon vertices lie exactly on integer grid + * points and only form horizontal and vertical lines. + * @param smoothing The number of rounds of corner cutting to apply to the + * polygon. A small positive integer value is recommended. A + * value of 3 is probably sufficient. + * @param depth The number of rounds of recursive refinement to apply to + * the polygon generated. A small positive integer value is + * recommended. This is akin to increasing the depth of + * fractal curve. + * @param seed the seed for the random number generator + * @since 1.3.1 + */ + public static PShape createSuperRandomPolygon(double dimensions, int cells, double markFraction, int smoothing, int depth, + boolean orthogonal, boolean holes, long seed) { + Random r = new XoRoShiRo128PlusRandom(seed); + SRPolygonGenerator generator = new SRPolygonGenerator(cells, cells, markFraction, holes, orthogonal, !orthogonal, smoothing, depth, + !orthogonal, r); + List> rings = generator.getPolygon(); + PShape exterior = PGS_Conversion.fromArray(rings.get(0).toArray(new double[0][0]), true); + List interiorRings = rings.subList(1, rings.size()).stream() + .map(l -> PGS_Conversion.fromArray(l.toArray(new double[0][0]), true)).collect(Collectors.toList()); + + PShape polygon = PGS_ShapeBoolean.simpleSubtract(exterior, PGS_Conversion.flatten(interiorRings)); + polygon = PGS_Transformation.resizeByMajorAxis(polygon, dimensions); + polygon.setStroke(false); + return PGS_Transformation.translateToOrigin(polygon); + } + /** * Creates a closed Sierpiński curve (a recursive space-filling curve), having a * user-defined degree/order. From 3048e1c35c37082db33640819967968e964736ef Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sat, 1 Jul 2023 21:55:00 +0100 Subject: [PATCH 63/88] add segment set dissolve() --- CHANGELOG.md | 2 + src/main/java/micycle/pgs/PGS_Contour.java | 81 ++++++++----------- src/main/java/micycle/pgs/PGS_SegmentSet.java | 22 ++++- .../java/micycle/pgs/PGS_SegmentSetTests.java | 64 +++++++++++++++ 4 files changed, 122 insertions(+), 47 deletions(-) create mode 100644 src/test/java/micycle/pgs/PGS_SegmentSetTests.java diff --git a/CHANGELOG.md b/CHANGELOG.md index c3bcfdcf..e16f6d1d 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -54,6 +54,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `areaMerge()` to `PGS_Meshing`. Merges/dissolves small faces of a mesh into their neighboring faces. * `createSponge()` to `PGS_Construction`. Creates a sponge-like porous structure. * `createSuperRandomPolygon()` to `PGS_Construction`. Generates a highly customisable random polygon based on a square grid of cells. +* `dissolve()` to `PGS_SegmentSet`. Dissolves a collection of edges into a set of maximal-length linestrings. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). @@ -74,6 +75,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Reimplemented `PGS_CirclePacking.maximumInscribedPack()`. New algorithm is faster, particularly so on higher circle counts. * Renamed `miniumumBoundingRectangle()` to `minimumWidthRectangle()`. * `intersectMesh()` and `subtractMesh()` now fully preserve the styling of original mesh faces. +* `PGS_Contour.medialAxis()` now returns dissolved maximal-length lines, rather than line segments only. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_Contour.java b/src/main/java/micycle/pgs/PGS_Contour.java index d38f1e6f..89dd28ec 100644 --- a/src/main/java/micycle/pgs/PGS_Contour.java +++ b/src/main/java/micycle/pgs/PGS_Contour.java @@ -13,6 +13,8 @@ import java.util.List; import java.util.Map; import java.util.Set; +import java.util.stream.Collectors; + import javax.vecmath.Point3d; import org.jgrapht.graph.DefaultEdge; @@ -82,39 +84,39 @@ private PGS_Contour() { } /** - * Computes the medial axis of the given shape, which provides a - * characterization of the skeleton of a shape. + * Computes the medial axis of the given shape, providing a characterization of + * the skeleton of a shape. *

    - * The 3 parameters can be used to prune the medial axis according to different - * features (at the same time). + * The method employs three parameters to prune (simplify) the resulting medial + * axis according to distinct features. * - * @param shape - * @param axialThreshold Prune edges based on their axial gradient. The axial - * gradient measures the change in the width of the - * shape per unit length of the axis (measured per edge - * segment). Between 0...1, where 0 is no pruning and 1 - * is maximal pruning for this feature. - * @param distanceThreshold Prune edges based on the spatial distance between - * the medial axis root and edge's tail coordinate. - * Between 0...1, where 0 is no pruning and 1 is - * maximal pruning for this feature. - * @param areaThreshold Prune edges based on the sum of each edge and its - * descendants underlying feature area. Between 0...1, - * where 0 is no pruning and 1 is maximal pruning for - * this feature. - * @return PShape of lines where lines represent medial axis edges + * @param shape The PShape to calculate the medial axis for. + * @param axialThreshold A value in the range of 0 to 1 that determines the + * level of pruning based on the axial gradient. The + * axial gradient evaluates the variation in the + * shape's width per unit length along the axis, + * measured per edge segment. A value of 0 results in + * no pruning, while a value of 1 leads to the maximum + * possible pruning. + * @param distanceThreshold A value between 0 and 1 that determines the level of + * pruning based on the spatial distance from the root + * of the medial axis to the tail coordinate of each + * edge. A value of 0 results in no pruning, while a + * value of 1 results in maximum possible pruning. + * @param areaThreshold A value between 0 and 1 that determines the level of + * pruning based on the aggregate feature area of each + * edge and its descendants in the medial axis. A value + * of 0 results in no pruning, while a value of 1 + * results in the maximum possible pruning. + * @return A GROUP PShape containing maximal-length lines representing the + * pruned edges of the medial axis. */ public static PShape medialAxis(PShape shape, double axialThreshold, double distanceThreshold, double areaThreshold) { final Geometry g = fromPShape(shape); final MedialAxis m = new MedialAxis(g); - - final PShape lines = PGS.prepareLinesPShape(RGB.PINK, PShape.ROUND, 4); - m.getPrunedEdges(axialThreshold, distanceThreshold, areaThreshold).forEach(e -> { - lines.vertex((float) e.head.position.x, (float) e.head.position.y); - lines.vertex((float) e.tail.position.x, (float) e.tail.position.y); - }); - lines.endShape(); - return lines; + return PGS_SegmentSet.dissolve(m.getPrunedEdges(axialThreshold, distanceThreshold, areaThreshold).stream() + .map(e -> new PEdge(e.head.position.x, e.head.position.y, e.tail.position.x, e.tail.position.y)) + .collect(Collectors.toList())); } /** @@ -144,7 +146,7 @@ public static PShape chordalAxis(PShape shape) { final IIncrementalTin triangulation = PGS_Triangulation.delaunayTriangulationMesh(shape); final SimpleGraph graph = PGS_Triangulation.toDualGraph(triangulation); - PShape axis = PGS.prepareLinesPShape(null, null, 4); + final List edges = new ArrayList<>(graph.vertexSet().size()); for (SimpleTriangle t : graph.vertexSet()) { /* @@ -165,8 +167,7 @@ public static PShape chordalAxis(PShape shape) { interiorEdge = t.getEdgeA(); } PVector centroid = centroid(t); - axis.vertex(centroid.x, centroid.y); - axis.vertex(midpoint(interiorEdge).x, midpoint(interiorEdge).y); + edges.add(new PEdge(centroid.x, centroid.y, midpoint(interiorEdge).x, midpoint(interiorEdge).y)); break; case 2 : // Sleeve triangle (one edge in perimeter) final IQuadEdge interiorEdgeA; // 2 edges are interior @@ -183,8 +184,7 @@ public static PShape chordalAxis(PShape shape) { } PVector midpoint1 = midpoint(interiorEdgeA); PVector midpoint2 = midpoint(interiorEdgeB); - axis.vertex(midpoint1.x, midpoint1.y); - axis.vertex(midpoint2.x, midpoint2.y); + edges.add(new PEdge(midpoint1.x, midpoint1.y, midpoint2.x, midpoint2.y)); break; case 3 : // Junction triangle (no edge in perimeter) /* @@ -208,26 +208,15 @@ public static PShape chordalAxis(PShape shape) { final PVector midpointL = midpoint(longest); final PVector midpointA = midpoint(shortA); final PVector midpointB = midpoint(shortB); - axis.vertex(midpointA.x, midpointA.y); - axis.vertex(midpointL.x, midpointL.y); - axis.vertex(midpointB.x, midpointB.y); - axis.vertex(midpointL.x, midpointL.y); + edges.add(new PEdge(midpointA.x, midpointA.y, midpointL.x, midpointL.y)); // A<->L + edges.add(new PEdge(midpointB.x, midpointB.y, midpointL.x, midpointL.y)); // B<->L break; default : break; } } - axis.endShape(); - - final LineMerger lm = new LineMerger(); - for (int i = 0; i < axis.getVertexCount(); i += 2) { - axis.getVertex(i); - axis.getVertex(i + 1); - final LineString l = PGS.createLineString(axis.getVertex(i), axis.getVertex(i + 1)); - lm.add(l); - } - return toPShape(lm.getMergedLineStrings()); + return PGS_SegmentSet.dissolve(edges); } /** diff --git a/src/main/java/micycle/pgs/PGS_SegmentSet.java b/src/main/java/micycle/pgs/PGS_SegmentSet.java index 05074631..e97c7966 100644 --- a/src/main/java/micycle/pgs/PGS_SegmentSet.java +++ b/src/main/java/micycle/pgs/PGS_SegmentSet.java @@ -16,6 +16,7 @@ import org.jgrapht.graph.SimpleGraph; import org.locationtech.jts.algorithm.RobustLineIntersector; import org.locationtech.jts.algorithm.locate.IndexedPointInAreaLocator; +import org.locationtech.jts.dissolve.LineDissolver; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.Geometry; import org.locationtech.jts.geom.LineSegment; @@ -374,7 +375,7 @@ public static PShape toPShape(Collection segments) { * Converts a collection of {@link micycle.pgs.commons.PEdge PEdges} into a * LINES shape, having the (optional) styling provided. * - * @param segments collection of segments + * @param segments collection of PEdge segments * @param strokeColor nullable/optional (default = {@link RGB#PINK}) * @param strokeCap nullable/optional (default = ROUND) * @param strokeWeight nullable/optional (default = 2) @@ -392,6 +393,25 @@ public static PShape toPShape(Collection segments, @Nullable Integer stro return lines; } + /** + * Dissolves the edges from a collection of {@link micycle.pgs.commons.PEdge + * PEdges} into a set of maximal-length LineStrings in which each unique segment + * appears only once. This method works by fusing segments that share endpoints + * into longer linear strings. + *

    + * This method may be preferred to {@link #toPShape(Collection) toPShape()} when + * the input segments form a linear string(s). + * + * @param segments Collection of PEdge objects to dissolve into maximal-length + * LineStrings + * @return A PShape object representing the dissolved LineStrings + * @since 1.3.1 + */ + public static PShape dissolve(Collection segments) { + Geometry dissolved = LineDissolver.dissolve(PGS_Conversion.fromPShape(toPShape(segments))); + return PGS_Conversion.toPShape(dissolved); + } + /** * Extracts a list of unique PEdge segments representing the given shape. *

    diff --git a/src/test/java/micycle/pgs/PGS_SegmentSetTests.java b/src/test/java/micycle/pgs/PGS_SegmentSetTests.java new file mode 100644 index 00000000..a19aae62 --- /dev/null +++ b/src/test/java/micycle/pgs/PGS_SegmentSetTests.java @@ -0,0 +1,64 @@ +package micycle.pgs; + +import static org.junit.jupiter.api.Assertions.assertEquals; + +import java.util.ArrayList; +import java.util.List; + +import org.junit.jupiter.api.Test; + +import micycle.pgs.commons.PEdge; +import processing.core.PShape; +import processing.core.PVector; + +class PGS_SegmentSetTests { + + @Test + void testDissolve() { + PVector p1 = new PVector(0, 0); + PVector p2 = new PVector(10, 10); + PVector p3 = new PVector(20, 20); + PVector p4 = new PVector(30, 30); + + PEdge a = new PEdge(p1, p2); + PEdge b = new PEdge(p2, p3); + List edges = new ArrayList<>(); + edges.add(a); + edges.add(b); + edges.add(b); // note test duplicate edge + + PShape dissolved = PGS_SegmentSet.dissolve(edges); + assertEquals(0, dissolved.getChildCount()); + assertEquals(3, dissolved.getVertexCount()); + + PEdge c = new PEdge(p3, p4); + edges.add(c); + dissolved = PGS_SegmentSet.dissolve(edges); + assertEquals(0, dissolved.getChildCount()); + assertEquals(4, dissolved.getVertexCount()); // a merged line of p1,p2,p3,p4 + + PEdge d = new PEdge(p2, p4); + edges.add(d); // add a branch to existing linestring + dissolved = PGS_SegmentSet.dissolve(edges); + assertEquals(2, dissolved.getChildCount()); // it's now 2 distinct merged linestrings + } + + @Test + void testToPShape() { + PVector p1 = new PVector(0, 0); + PVector p2 = new PVector(10, 10); + PVector p3 = new PVector(20, 20); + + PEdge a = new PEdge(p1, p2); + PEdge b = new PEdge(p2, p3); + List edges = new ArrayList<>(); + edges.add(a); + edges.add(b); + + PShape lines = PGS_SegmentSet.toPShape(edges); + assertEquals(0, lines.getChildCount()); + assertEquals(4, lines.getVertexCount()); + + } + +} From 83ee6abb85b5d897857d246f19c6f8efc44f8a59 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Sun, 2 Jul 2023 00:14:38 +0100 Subject: [PATCH 64/88] javadocs etc --- src/main/java/micycle/pgs/PGS_Contour.java | 4 +- src/main/java/micycle/pgs/PGS_Conversion.java | 267 ++++++++++++------ src/main/java/micycle/pgs/PGS_Morphology.java | 33 ++- .../java/micycle/pgs/PGS_Optimisation.java | 2 +- src/main/java/micycle/pgs/PGS_SegmentSet.java | 5 +- .../java/micycle/pgs/PGS_Transformation.java | 57 ++-- .../pgs/commons/DiscreteCurveEvolution.java | 59 ++-- .../pgs/commons/LargestEmptyCircles.java | 2 +- .../pgs/commons/SpiralQuadrangulation.java | 9 +- .../{Minkowski_Sum.java => MinkowskiSum.java} | 24 +- .../micycle/pgs/PGS_TriangulationTests.java | 2 +- 11 files changed, 308 insertions(+), 156 deletions(-) rename src/main/java/uk/osgb/algorithm/minkowski_sum/{Minkowski_Sum.java => MinkowskiSum.java} (98%) diff --git a/src/main/java/micycle/pgs/PGS_Contour.java b/src/main/java/micycle/pgs/PGS_Contour.java index 89dd28ec..efbd026a 100644 --- a/src/main/java/micycle/pgs/PGS_Contour.java +++ b/src/main/java/micycle/pgs/PGS_Contour.java @@ -25,7 +25,6 @@ import org.locationtech.jts.dissolve.LineDissolver; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.Geometry; -import org.locationtech.jts.geom.LineString; import org.locationtech.jts.geom.LinearRing; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.geom.prep.PreparedGeometry; @@ -33,7 +32,6 @@ import org.locationtech.jts.operation.buffer.BufferOp; import org.locationtech.jts.operation.buffer.BufferParameters; import org.locationtech.jts.operation.buffer.OffsetCurve; -import org.locationtech.jts.operation.linemerge.LineMerger; import org.locationtech.jts.simplify.DouglasPeuckerSimplifier; import org.tinfour.common.IIncrementalTin; import org.tinfour.common.IQuadEdge; @@ -75,7 +73,7 @@ */ public final class PGS_Contour { - /** + /* * TODO implement 'Base Point Split Algorithm for Generating Polygon Skeleton * Lines' */ diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index 91e8cb15..e249ad82 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -75,23 +75,23 @@ import processing.core.PVector; /** - * Conversion between Processing PShapes and JTS - * Geometries (amongst other formats). Also includes helper/utility - * methods for PShapes. + * Facilitates conversion between Processing's {@code PShapes} and + * JTS's {@code Geometries}, along with various other formats. It also + * offers additional utility methods to assist with handling {@code PShapes}. *

    - * Some conversion methods in this class are used by the library internally but - * are kept accessible/public for more advanced user use cases. + * Though certain conversion methods are utilised internally by the library, + * they have been kept public to cater to more complex user requirements. *

    - * Notably, JTS geometries do not support bezier curves so any bezier curves are - * finely subdivided into straight linestrings during PShape -> JTS - * Geometry conversion. + * Note: JTS {@code Geometries} do not provide support for bezier curves. As + * such, bezier curves are linearised/divided into straight line segments during + * the conversion process from {@code PShape} to JTS {@code Geometry}. *

    - * This class features 2 boolean flags that affect conversion that you may wish - * to look at: {@link #PRESERVE_STYLE} (default=true) and - * {@link #HANDLE_MULTICONTOUR} (default=false). - * + * Two configurable boolean flags influence the conversion process: + * {@link #PRESERVE_STYLE} (set to true by default), and + * {@link #HANDLE_MULTICONTOUR} (set to false by default). Users are encouraged + * to review these flags as part of more complicated workflows with this class. + * * @author Michael Carleton - * */ public final class PGS_Conversion { @@ -106,20 +106,21 @@ public final class PGS_Conversion { */ public static boolean PRESERVE_STYLE = true; /** - * A boolean flag that enables a subroutine during {@link #fromPShape(PShape) - * fromPShape()} conversion to properly convert single PShapes that - * consist of multiple contours that in turn represent multiple distinct shapes. - * When false, {@link #fromPShape(PShape) fromPShape()} assumes - * that in shapes having multiple contours, every contour beyond the first - * represents a hole, which is generally sufficient. + * A boolean flag that, when true, enables a specialised subroutine during the + * {@link #fromPShape(PShape) fromPShape()} conversion to correctly convert + * single PShapes comprised of multiple contours, each representing a + * separate shape. If set to false, the {@link #fromPShape(PShape) + * fromPShape()} method assumes that in multi-contour shapes, every contour + * beyond the first represents a hole, which is generally an adequate + * assumption. *

    - * This feature is off by default because it introduces some overhead as polygon - * rings orientation must be determined (amongst other such stuff), and is - * rarely needed (unless one is working with fonts, I have found). Default = + * This feature is disabled by default because it necessitates additional + * computation, such as determining polygon ring orientations, and is seldom + * required (unless one is dealing with fonts, I have observed). Default = * false. *

    - * See github for more - * information. + * For more information, refer to the discussion on this topic at + * GitHub. */ public static boolean HANDLE_MULTICONTOUR = false; @@ -136,12 +137,44 @@ private PGS_Conversion() { } /** - * Converts a JTS Geometry to an equivalent PShape. MultiGeometries (collections - * of geometries) become GROUP PShapes containing the appropriate children - * PShapes. - * - * @param g JTS geometry to convert - * @return + * Converts a JTS Geometry into a corresponding PShape. In the case of + * MultiGeometries (which include collections of geometries), the result is a + * GROUP PShape containing the appropriate child PShapes. + *

    + * The conversion process follows the geometry types supported by JTS, namely: + *

      + *
    • {@link Geometry#TYPENAME_GEOMETRYCOLLECTION GEOMETRYCOLLECTION}: + * Converted to a GROUP PShape if it contains multiple geometries. For single + * geometry collections, it extracts and converts the single geometry.
    • + *
    • {@link Geometry#TYPENAME_MULTIPOLYGON MULTIPOLYGON}: Similar to + * GeometryCollection, MultiPolygons are converted to a GROUP PShape, with each + * polygon converted to a child PShape.
    • + *
    • {@link Geometry#TYPENAME_MULTILINESTRING MULTILINESTRING}: + * MultiLineStrings are handled in the same way as GeometryCollections and + * MultiPolygons, converted to a GROUP PShape containing child PShapes.
    • + *
    • {@link Geometry#TYPENAME_LINEARRING LINEARRING} and + * {@link Geometry#TYPENAME_LINESTRING LINESTRING}: These are converted to a + * PATH PShape, preserving the closed or open nature of the original + * LineString.
    • + *
    • {@link Geometry#TYPENAME_POLYGON POLYGON}: Converted to a PATH PShape, + * with each contour of the polygon represented as a series of vertices in the + * PShape. Inner contours, or 'holes' in the polygon, are handled + * separately.
    • + *
    • {@link Geometry#TYPENAME_POINT POINT} and + * {@link Geometry#TYPENAME_MULTIPOINT MULTIPOINT}: These are converted to a + * GEOMETRY PShape with each point represented as a vertex.
    • + *
    + *

    + * Please note that any unsupported geometry types will result in an error + * message. + *

    + * If {@link #PRESERVE_STYLE} is enabled and the geometry includes user data in + * the form of PShapeData, the style from the data is applied to the resulting + * PShape. + * + * @param g The JTS geometry to convert. + * @return A PShape that represents the input geometry, or a new, empty PShape + * if the input is null. */ public static PShape toPShape(final Geometry g) { if (g == null) { @@ -242,9 +275,21 @@ public static PShape toPShape(final Geometry g) { } /** - * Converts a collection of JTS Geometries to an equivalent GROUP PShape. If the - * collection contains only one geometry, an equivalent PShape will be output - * directly (not a GROUP shape). + * + * Converts a collection of JTS Geometries into a corresponding GROUP PShape. + * This method loops through the provided geometries, converting each individual + * geometry into a PShape, and then adds it as a child to the GROUP PShape. + *

    + * In case the collection only contains a single geometry, this method will + * instead return a PShape that directly corresponds to that single geometry. It + * will not be wrapped in a GROUP shape in this case. + * + * @param geometries A collection of JTS Geometries to convert into a PShape. + * @return A PShape that represents the collection of input geometries. If the + * collection contains only a single geometry, the return is a PShape + * directly equivalent to that geometry. Otherwise, the return is a + * GROUP PShape containing child PShapes for each geometry in the + * collection. */ public static PShape toPShape(Collection geometries) { PShape shape = new PShape(GROUP); @@ -263,18 +308,44 @@ public static PShape toPShape(Collection geometries) { } /** - * Converts a PShape to an equivalent JTS Geometry. + * + * Transforms a PShape into a corresponding JTS Geometry. *

    - * Note that bezier curve elements in the input are linearised, being sampled at - * regular equidistant intervals (in which case the resulting geometry will have - * more vertices than the input PShape). + * During this transformation, any bezier curve elements within the input PShape + * are linearised, meaning they are sampled at regular, equidistant intervals. + * This process results in the created geometry having a greater number of + * vertices than the original PShape. *

    - * Note also that any multi-level child shape hierarchies are not preserved in - * the output shape; all child shape are flattened to the same level in the - * output. - * - * @param shape the PShape to convert - * @return a JTS Geometry equivalent to the input PShape + * Additionally, please be aware that the method does not preserve multi-level + * child shape hierarchies present in the input PShape. All child shapes are + * flattened to the same level in the output geometry. + *

    + * The conversion process depends on the PShape's type and can be broadly + * categorized as follows: + *

      + *
    • {@link PConstants#GROUP}: The method recursively converts each child of + * the PShape into a corresponding Geometry and groups these into a + * GeometryCollection.
    • + *
    • {@link PShape#GEOMETRY} and {@link PShape#PATH}: Here, the method further + * distinguishes between the kinds of the shape. For POLYGON, PATH and + * unspecified kinds, it creates a Geometry from the vertices of the PShape. For + * special paths (e.g., POINTS, LINES), it uses a separate conversion + * routine.
    • + *
    • {@link PShape#PRIMITIVE}: It converts the PShape using a separate routine + * dedicated to primitive shapes.
    • + *
    + *

    + * If {@link #PRESERVE_STYLE} is enabled, the method preserves the style of the + * PShape in the output Geometry as user data. + *

    + * Lastly, any affine transformations applied to the PShape (which do not + * directly affect its vertices) are also applied to the resulting Geometry + * (baked into its coordinates). + * + * @param shape The PShape to convert into a JTS Geometry. + * @return A JTS Geometry that corresponds to the input PShape, or an empty 2D + * Geometry if the PShape is null or the type of the PShape is + * unsupported. */ public static Geometry fromPShape(PShape shape) { Geometry g = GEOM_FACTORY.createEmpty(2); @@ -467,27 +538,35 @@ private static Geometry fromVertices(PShape shape) { } /** - * Converts a single PShape, which ***may*** have multiple contours that - * represent multiple polygons (and may even contain nested polygons with holes) - * into its valid JTS representation. *

    - * This kind of shape is not possible to produce from JTS (since multiple - * polygons will always be represented as standalone objects within a - * MultiGeometry, leading to a GROUP shape), but Processing allows single PATH - * PShapes to have multiple contour groups, and thus represent multiple polygons - * despite being a "single" shape. + * Transforms a {@code PShape} object, which might contain multiple contours + * representing several polygons (including nested polygons with holes), into a + * valid JTS representation. + *

    + * The input shape may not be directly producible using JTS because JTS + * represents multiple polygons as separate objects within a + * {@code MultiGeometry}, resulting in a {@code GROUP} shape. However, + * Processing allows single {@code PATH} PShapes to include multiple + * contour groups, representing multiple polygons despite being considered a + * "single" shape. *

    - * Since the PShape has no information about which contours represent holes, and - * nor any information about which contours should be grouped together to - * represent the same shapes, this must be determined within this method. + * The {@code PShape} does not carry information about which contours represent + * holes or how contours should be grouped to represent the same shapes. This + * method determines this internally. * - * @param contours list of contours/rings. The contour at index==0 must be a - * polygonal and is assumed to be an exterior ring. - * @param sort whether to sort the contours by orientation (clockwise - * contours first), which can fix tricky cases - * @param reverse whether to reverse the contour collection, which can fix - * tricky cases - * @return Polygon or MultiPolygon + * @param contours A {@code List} of contours/rings. The contour at + * {@code index==0} is assumed to be polygonal and considered an + * exterior ring. + * @param sort A boolean value determining whether to sort the contours by + * orientation (clockwise contours first), which can solve some + * complex cases. + * @param reverse A boolean value indicating whether to reverse the contour + * collection, which can also solve complex cases. + * @return Returns either a {@code Polygon} or {@code MultiPolygon} depending on + * the input shape. + * + * @see Geometry + * @see CoordinateList */ private static Geometry fromMultiContourShape(List contours, boolean sort, boolean reverse) { if (reverse) { @@ -605,10 +684,24 @@ private static Geometry fromMultiContourShape(List contours, boo } /** - * Creates a JTS Polygon from a primitive PShape. Primitive PShapes are those - * where createShape() is used to create them, and can take any of these types: - * POINT, LINE, TRIANGLE, QUAD, RECT, ELLIPSE, ARC, BOX, SPHERE. They do not - * have directly accessible vertex data. + * Creates a JTS Polygon from a primitive PShape. Primitive PShapes are + * generated by invoking the createShape() method from Processing. + *

    + * Supported primitives include POINT, LINE, TRIANGLE, QUAD, RECT, ELLIPSE, and + * ARC. Other types such as BOX and SPHERE (3D primitives), or any non-polygon + * primitives are not supported and will print an error message. + *

    + * Primitive PShapes do not have directly accessible vertex data. This method + * generates equivalent JTS Polygons by accessing the shape's parameters (e.g., + * width, height, coordinates) via the getParam() method. + *

    + * In the event where a non-supported primitive is supplied, an empty JTS + * Polygon is returned. + * + * @param shape The primitive PShape to be converted to a JTS Polygon + * @return A JTS Geometry (Polygon) representing the input primitive PShape. For + * non-supported or non-polygon primitives, an empty JTS Polygon is + * returned. */ private static Geometry fromPrimitive(PShape shape) { final GeometricShapeFactory shapeFactory = new GeometricShapeFactory(); @@ -718,17 +811,26 @@ public static final PShape toCircles(Collection circles) { } /** - * Extracts the vertices of a PShape into list of PVectors. + * + * Extracts the vertices of a PShape into a list of PVectors. *

    - * If the input shape forms a closed polygon, this method returns an - * unclosed view of the shape (without the last closing vertex, which is - * identical to the first). + * The function navigates through all children of the given shape if it is of + * the GROUP type, recursively flattening their vertices and adding them to the + * list. In the case of PShape primitives, where the getVertex() + * method fails, the shape is converted to its equivalent path representation + * before vertex extraction. *

    - * If the input shape has a GROUP type, vertices from all children shapes are - * flattened and returned. - * - * @param shape a PShape of any type - * @return all vertices of the input + * If the input shape represents a closed polygon, the method returns an + * "unclosed" version of the shape. This means that the duplicate vertex that + * closes the shape (which is identical to the first vertex) is omitted from the + * output. + *

    + * The resulting list contains all vertices from the input PShape in the order + * they appear in the shape. + * + * @param shape the PShape from which vertices are to be extracted + * @return a list of PVector objects representing the vertices of the input + * shape */ public static List toPVector(PShape shape) { // use getChildren() incase shape is GROUP @@ -749,12 +851,17 @@ public static List toPVector(PShape shape) { } /** - * Converts a shape into a simple graph; graph vertices represent shape - * vertices, and graph edges represent shape edges (formed from adjacent - * vertices in polygonal shapes). - * - * @param shape the shape to convert - * @return graph representation of the input shape + * Transforms a given PShape into a simple graph representation. In this + * representation, the vertices of the graph correspond to the vertices of the + * shape, and the edges of the graph correspond to the edges of the shape. This + * transformation is specifically applicable to polygonal shapes where edges are + * formed by adjacent vertices. + *

    + * The edge weights in the graph are set to the length of the corresponding edge + * in the shape. + * + * @param shape the PShape to convert into a graph + * @return A SimpleGraph object that represents the structure of the input shape * @since 1.3.0 * @see #toDualGraph(PShape) */ diff --git a/src/main/java/micycle/pgs/PGS_Morphology.java b/src/main/java/micycle/pgs/PGS_Morphology.java index ed637700..ad3e1216 100644 --- a/src/main/java/micycle/pgs/PGS_Morphology.java +++ b/src/main/java/micycle/pgs/PGS_Morphology.java @@ -42,7 +42,7 @@ import processing.core.PConstants; import processing.core.PShape; import processing.core.PVector; -import uk.osgb.algorithm.minkowski_sum.Minkowski_Sum; +import uk.osgb.algorithm.minkowski_sum.MinkowskiSum; import micycle.uniformnoise.UniformNoise; /** @@ -54,7 +54,7 @@ public final class PGS_Morphology { static { - Minkowski_Sum.setGeometryFactory(PGS.GEOM_FACTORY); + MinkowskiSum.setGeometryFactory(PGS.GEOM_FACTORY); } private PGS_Morphology() { @@ -201,16 +201,21 @@ public static PShape simplifyTopology(PShape shape, double distanceTolerance) { * intended to reflect their contribution to the overall shape of the polygonal * curve. * - * @param shape a polygonal (can include holes) or lineal shape. GROUP - * shapes are not supported. - * @param removeFraction the fraction of least relevant kinks/vertices to remove - * (per ring). 0...1 - * @return simplifed copy of the input shape + * @param shape The input shape to be simplified, which can be a + * polygonal (inclusive of holes) or a lineal + * shape. Note that GROUP shapes are not supported + * by this method. + * @param vertexRemovalFraction The proportion of the least significant kinks or + * vertices to be removed from each ring in the + * shape. This value should be in the range of 0 to + * 1. + * @return A new, simplified copy of the input shape, with the least significant + * kinks or vertices removed according to the provided fraction. * @since 1.3.0 * @see PGS_Morphology#simplifyDCE(PShape, int) */ - public static PShape simplifyDCE(PShape shape, double removeFraction) { - removeFraction = 1 - removeFraction; // since dce class is preserve-based, not remove-based + public static PShape simplifyDCE(PShape shape, double vertexRemovalFraction) { + vertexRemovalFraction = 1 - vertexRemovalFraction; // since dce class is preserve-based, not remove-based Geometry g = fromPShape(shape); switch (g.getGeometryType()) { case Geometry.TYPENAME_GEOMETRYCOLLECTION : @@ -218,7 +223,7 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { case Geometry.TYPENAME_MULTILINESTRING : PShape group = new PShape(GROUP); for (int i = 0; i < g.getNumGeometries(); i++) { - group.addChild(simplifyDCE(toPShape(g.getGeometryN(i)), removeFraction)); + group.addChild(simplifyDCE(toPShape(g.getGeometryN(i)), vertexRemovalFraction)); } return group; case Geometry.TYPENAME_LINEARRING : @@ -228,7 +233,7 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { LinearRing[] dceRings = new LinearRing[rings.length]; for (int i = 0; i < rings.length; i++) { LinearRing ring = rings[i]; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * ring.getNumPoints())); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(vertexRemovalFraction * ring.getNumPoints())); dceRings[i] = PGS.GEOM_FACTORY.createLinearRing(dce.process(ring)); } LinearRing[] holes = null; @@ -238,7 +243,7 @@ public static PShape simplifyDCE(PShape shape, double removeFraction) { return toPShape(PGS.GEOM_FACTORY.createPolygon(dceRings[0], holes)); case Geometry.TYPENAME_LINESTRING : LineString l = (LineString) g; - DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(removeFraction * l.getNumPoints())); + DiscreteCurveEvolution dce = new DiscreteCurveEvolution((int) Math.round(vertexRemovalFraction * l.getNumPoints())); return toPShape(PGS.GEOM_FACTORY.createLineString(dce.process(l))); default : System.err.println(g.getGeometryType() + " are not supported for the simplifyDCE() method."); // pointal geoms @@ -349,7 +354,7 @@ public static PShape simplifyHobby(PShape shape, double tension) { public static PShape minkSum(PShape source, PShape addition) { // produces handled errors with geometries that have straight lines (like a // square) - Geometry sum = Minkowski_Sum.minkSum(fromPShape(source), fromPShape(addition), true, true); + Geometry sum = MinkowskiSum.minkSum(fromPShape(source), fromPShape(addition), true, true); return toPShape(sum); } @@ -362,7 +367,7 @@ public static PShape minkSum(PShape source, PShape addition) { * @see #minkSum(PShape, PShape) */ public static PShape minkDifference(PShape source, PShape subtract) { - Geometry sum = Minkowski_Sum.minkDiff(fromPShape(source), fromPShape(subtract), true, true); + Geometry sum = MinkowskiSum.minkDiff(fromPShape(source), fromPShape(subtract), true, true); return toPShape(sum); } diff --git a/src/main/java/micycle/pgs/PGS_Optimisation.java b/src/main/java/micycle/pgs/PGS_Optimisation.java index 30060274..3d0492b7 100644 --- a/src/main/java/micycle/pgs/PGS_Optimisation.java +++ b/src/main/java/micycle/pgs/PGS_Optimisation.java @@ -158,7 +158,7 @@ public static PShape maximumInscribedAARectangle(PShape shape, boolean fast) { * If the input is convex, the output forms a fully inscribed square; if the * input is concave the output is not necessarily inscribed. *

    - * Does not respect holes (for now...). + * The method does not respect holes (for now...). * * @param shape * @param tolerance a value of 2-5 is usually suitable diff --git a/src/main/java/micycle/pgs/PGS_SegmentSet.java b/src/main/java/micycle/pgs/PGS_SegmentSet.java index e97c7966..fb449134 100644 --- a/src/main/java/micycle/pgs/PGS_SegmentSet.java +++ b/src/main/java/micycle/pgs/PGS_SegmentSet.java @@ -408,7 +408,8 @@ public static PShape toPShape(Collection segments, @Nullable Integer stro * @since 1.3.1 */ public static PShape dissolve(Collection segments) { - Geometry dissolved = LineDissolver.dissolve(PGS_Conversion.fromPShape(toPShape(segments))); + Geometry g = SegmentStringUtil.toGeometry(fromPEdges(segments), PGS.GEOM_FACTORY); + Geometry dissolved = LineDissolver.dissolve(g); return PGS_Conversion.toPShape(dissolved); } @@ -582,7 +583,7 @@ private static List fromSegmentString(Collection segments) return edges; } - private static List fromPEdges(List edges) { + private static List fromPEdges(Collection edges) { List segments = new ArrayList<>(edges.size()); edges.forEach(e -> { SegmentString s = PGS.createSegmentString(e.a, e.b); diff --git a/src/main/java/micycle/pgs/PGS_Transformation.java b/src/main/java/micycle/pgs/PGS_Transformation.java index c0a03f98..b092d467 100644 --- a/src/main/java/micycle/pgs/PGS_Transformation.java +++ b/src/main/java/micycle/pgs/PGS_Transformation.java @@ -289,15 +289,20 @@ public static PShape translateTo(PShape shape, double x, double y) { } /** - * Translates a shape such that its centroid is equivalent to the given - * coordinates. - *

    - * The centroid of a polygon corresponds to its "center of mass". - * - * @param shape shape to translate - * @param x target centroid X - * @param y target centroid Y - * @return translated shape + * Translates a shape such that its centroid aligns with the specified + * (x, y) coordinates. The centroid of a polygon is its "center of mass" or + * geometric center. + * + * @param shape The PShape instance to be translated. + * @param x The horizontal coordinate to which the centroid of the shape's + * bounding polygon should be aligned. Measured in pixels from the + * left of the container. + * @param y The vertical coordinate to which the centroid of the shape's + * bounding polygon should be aligned. Measured in pixels from the + * top of the container. + * @return A new PShape instance that is a translation of the input shape such + * that the centroid of its bounding polygon aligns with the specified + * coordinates. * @since 1.3.0 (superceeds {@link #translateTo(PShape, double, double) * translateTo()} */ @@ -335,13 +340,19 @@ public static PShape translateEnvelopeTo(PShape shape, double x, double y) { } /** - * Translates a shape such that the upper-left corner of its bounding box - * is equivalent to the given coordinates. - * - * @param shape shape to translate - * @param x - * @param y - * @return translated shape + * Translates the given shape such that the upper-left corner of its bounding + * box aligns with the specified (x, y) coordinates. + * + * @param shape The PShape instance to be translated. + * @param x The horizontal coordinate to which the upper-left corner of the + * shape's bounding box is to be aligned. Measured in pixels from + * the left of the container. + * @param y The vertical coordinate to which the upper-left corner of the + * shape's bounding box is to be aligned. Measured in pixels from + * the top of the container. + * @return A new PShape instance that is a translation of the input shape such + * that the upper-left corner of its bounding box aligns with the + * specified coordinates. * @since 1.3.0 */ public static PShape translateCornerTo(PShape shape, double x, double y) { @@ -352,11 +363,13 @@ public static PShape translateCornerTo(PShape shape, double x, double y) { } /** - * Translates a shape such that the top-left corner of its bounding box is at - * (0, 0) (in Processing coordinates). - * - * @param shape - * @return translated copy of input + * Translates the given shape such that the upper-left corner of its bounding + * box aligns with the origin point (0, 0) of the Processing coordinate system. + * + * @param shape The PShape instance to be translated. + * @return A new PShape instance that is a translation of the input shape such + * that the upper-left corner of its bounding box aligns with the origin + * point (0, 0). */ public static PShape translateToOrigin(PShape shape) { final Geometry g = fromPShape(shape); @@ -481,7 +494,7 @@ public static PShape flipVertical(PShape shape, double x) { AffineTransformation t = AffineTransformation.reflectionInstance(x, -1, x, 1); return toPShape(t.transform(fromPShape(shape))); } - + /** * Shears a given shape by specified angles along the x and y axis and returns * the result as a new PShape. Shapes are sheared around their relative position diff --git a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java index 4eac592f..e5b49554 100644 --- a/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java +++ b/src/main/java/micycle/pgs/commons/DiscreteCurveEvolution.java @@ -12,18 +12,21 @@ import net.jafama.FastMath; /** - * Discrete Curve Evolution simplifies polygonal curves, neglecting minor - * distortions while preserving perceptual appearance. The main idea of the - * process is a stepwise elimination of kinks (vertex where consecutive line - * segments meet) that are least relevant to the shape of the polygonal curve. - * The relevance of kinks is intended to reflect their contribution to the - * overall shape of the polygonal curve. + * The DiscreteCurveEvolution class is used to simplify polygonal curves while + * maintaining their perceptual appearance. It does this through the systematic + * removal of the least shape-relevant vertices (kinks), where consecutive line + * segments meet. *

    - * The shape relevance of every kink can be defined by the turn angle and the - * lengths of the neighboring line segments; the larger both the relative - * lengths and the turn angle of a kink, the greater is its contribution to the - * shape of a curve. - * + * The shape relevance of a vertex is calculated based on its turn angle and the + * lengths of its neighboring line segments. Vertices with larger turn angles + * and neighboring segment lengths contribute more to the overall shape of the + * curve and are thus more likely to be preserved during the simplification + * process. + *

    + * This class uses an efficient implementation that reduces the time complexity + * from O(n^2) to O(n log n), making it suitable for processing large datasets. + * It can handle both closed and open curves. + * * @author Michael Carleton */ public class DiscreteCurveEvolution { @@ -32,15 +35,22 @@ public class DiscreteCurveEvolution { * Relevance measure was lifted from github.com/DiegoCatalano/Catalano-Framework, * which implements 'Convexity Rule for Shape Decomposition Based on Discrete * Contour Evolution'. - * This implementation uses doubly-linked coordinates + ordered set for better + * This implementation uses doubly-linked coordinates & ordered set for better * time complexity (nlogn vs n^2). */ private int vertexPreserveCount; /** - * - * @param vertices the number of vertices to preserve + * Initialises an instance of the DiscreteCurveEvolution class. The provided + * parameter specifies the number of vertices to be preserved during the curve + * evolution process. + * + * @param vertices The number of vertices to be preserved. These vertices are + * chosen based on their shape relevance, which is calculated + * from their turn angle and the lengths of neighboring line + * segments. Larger relative lengths and turn angles make a + * vertex more likely to be preserved. */ public DiscreteCurveEvolution(int vertices) { this.vertexPreserveCount = vertices; @@ -55,13 +65,30 @@ public Coordinate[] process(LineString lineString) { return process(lineString.getCoordinates()); } + /** + * Processes an array of coordinates and applies the Discrete Curve Evolution + * algorithm. The algorithm simplifies the polygonal curve defined by the input + * coordinates while preserving the perceptual appearance by preserving a + * certain number of vertices with high shape relevance. If the shape is closed, + * the method handles it appropriately by preserving the closure. + *

    + * Note: The vertices removed are always the least relevant vertices, those with + * the smallest turn angles and neighboring line segments. + * + * @param coords The original coordinates of the shape, an array of Coordinates + * defining the polygonal curve. + * + * @return An array of Coordinates representing a simplified version of the + * original shape. The number of vertices is reduced while preserving + * the perceptual appearance of the shape. + */ public Coordinate[] process(Coordinate[] coords) { boolean closed = coords[0].equals2D(coords[coords.length - 1]); int vertexRemoveCount = Math.min(coords.length - vertexPreserveCount, coords.length - (closed ? 4 : 2)); /* - * Create unlinked LinkedCoordinates, then link each one to its neighbours once - * all have been instantiated. + * Initialise LinkedCoordinates (initially unlinked to each other), then link + * each one to its neighbours once all have been instantiated. */ final List linkedCoords = Arrays.asList(coords).stream().map(c -> new LinkedCoordinate(c)) .collect(Collectors.toList()); diff --git a/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java b/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java index 63e3874d..447a1b70 100644 --- a/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java +++ b/src/main/java/micycle/pgs/commons/LargestEmptyCircles.java @@ -22,7 +22,7 @@ *

    * In this adaptation circle circumferences are constrained to lie within the * boundary (originally only circle center points must lie within the boundary). - * This adaption also supports polygonal obstacles; if a boundary is given, + * This adaption also supports polygonal obstacles; if a boundary is provided, * circles will not lie within the polygonal obstacles. * * @author Martin Davis diff --git a/src/main/java/micycle/pgs/commons/SpiralQuadrangulation.java b/src/main/java/micycle/pgs/commons/SpiralQuadrangulation.java index f112bad9..c1bcde96 100644 --- a/src/main/java/micycle/pgs/commons/SpiralQuadrangulation.java +++ b/src/main/java/micycle/pgs/commons/SpiralQuadrangulation.java @@ -4,6 +4,7 @@ import java.util.Iterator; import java.util.List; +import net.jafama.FastMath; import processing.core.PVector; /** @@ -104,7 +105,7 @@ private void computeConvexSpiral() { PVector last = rgSpiral.get(rgSpiral.size() - 1); PVector last2 = rgSpiral.get(rgSpiral.size() - 2); - anglecur = Math.atan(-(last.y - last2.y) / (last.x - last2.x)); + anglecur = FastMath.atan(-(last.y - last2.y) / (last.x - last2.x)); if (last.x < last2.x) { anglecur += Math.PI; // anglecur is in [-pi/2,+3pi/2] @@ -121,7 +122,7 @@ private void computeConvexSpiral() { for (PVector v : rgVertices) { // Compute wrap angle - double angle = Math.atan(-(v.y - vcur.y) / (v.x - vcur.x)); + double angle = FastMath.atan(-(v.y - vcur.y) / (v.x - vcur.x)); if (v.x < vcur.x) { angle += Math.PI; } @@ -170,7 +171,7 @@ private void computeCloseChain() { for (PVector v : vertices) { // Compute wrap angle - double angle = Math.atan(-(v.y - vMinx.y) / (v.x - vMinx.x)); + double angle = FastMath.atan(-(v.y - vMinx.y) / (v.x - vMinx.x)); if (v.x < vMinx.x) { angle += Math.PI; } @@ -488,7 +489,7 @@ private static double distance(PVector vLine1, PVector vLine2, PVector vPoint) { * @return an angle between [-pi/2, +3pi/2] */ private static double angleBetween(PVector v1, PVector v2) { - double angle = Math.atan(-(v2.y - v1.y) / (v2.x - v1.x)); + double angle = FastMath.atan(-(v2.y - v1.y) / (v2.x - v1.x)); if (v2.x < v1.x) { angle += Math.PI; } diff --git a/src/main/java/uk/osgb/algorithm/minkowski_sum/Minkowski_Sum.java b/src/main/java/uk/osgb/algorithm/minkowski_sum/MinkowskiSum.java similarity index 98% rename from src/main/java/uk/osgb/algorithm/minkowski_sum/Minkowski_Sum.java rename to src/main/java/uk/osgb/algorithm/minkowski_sum/MinkowskiSum.java index 923fdb6e..6372b933 100644 --- a/src/main/java/uk/osgb/algorithm/minkowski_sum/Minkowski_Sum.java +++ b/src/main/java/uk/osgb/algorithm/minkowski_sum/MinkowskiSum.java @@ -27,6 +27,7 @@ import java.util.ArrayList; import java.util.List; + import org.locationtech.jts.algorithm.ConvexHull; import org.locationtech.jts.geom.Coordinate; import org.locationtech.jts.geom.Geometry; @@ -59,9 +60,9 @@ * @author Sheng Zhou * @author Small improvements by Michael Carleton */ -public class Minkowski_Sum { +public class MinkowskiSum { - private Minkowski_Sum() { + private MinkowskiSum() { } private static GeometryFactory gf = new GeometryFactory(); @@ -131,7 +132,6 @@ public static Geometry minkSum(Geometry src, Geometry ref, boolean doReflection, return src.getFactory().createPolygon(); } - // /** * @param src * @param ref @@ -478,15 +478,15 @@ private static Geometry expansionShell(Polygon src, Coordinate[] refCoords, bool LinearRing[] shellHoles = getHoles((Polygon) sum); if (shellHoles != null) { Polygon geomNoHole = gf.createPolygon(extCoords);// polygon formed by the exterior ring of src geometry - for (int i = 0; i < shellHoles.length; ++i) { - Point ep = gf.createPolygon(shellHoles[i]).getInteriorPoint(); + for (LinearRing shellHole : shellHoles) { + Point ep = gf.createPolygon(shellHole).getInteriorPoint(); if (!geomNoHole.contains(ep)) {// holes outside original geometry, generated by expansion, should be // part of the result as a hole // by expansion, should be part of the result as a hole if (ringVec == null) { ringVec = new ArrayList<>(); } - ringVec.add(shellHoles[i]); + ringVec.add(shellHole); } } } @@ -516,9 +516,9 @@ public static Geometry minkDiff(Geometry src, Geometry ref) { /** * Minkowski difference of two geometries. * - * @param src Source geometry, may be polygon or multipolygon - * @param ref Reference geometry, may be polygon or - * linestring/linearring + * @param src Source geometry, may be polygon or multipolygon + * @param ref Reference geometry, may be polygon or + * linestring/linearring * @param isRefSymmetric true if ref is symmetric over origin * @param isRefConvex * @return null (not implemented yet) @@ -622,13 +622,13 @@ private static Geometry shrinkHole(Polygon src, Coordinate[] refCoords, boolean // holes could be generated from outwards expansion as well ArrayList ringVec = new ArrayList<>(shellHoles.length); Polygon geomNoHole = gf.createPolygon(extCoords); // original geom - for (int i = 0; i < shellHoles.length; ++i) { + for (LinearRing shellHole : shellHoles) { // Point ep = shellHoles[i].getEndPoint(); - Point ep = gf.createPolygon(shellHoles[i]).getInteriorPoint(); + Point ep = gf.createPolygon(shellHole).getInteriorPoint(); if (geomNoHole.contains(ep)) { // the hole is inside the original source geometry, not a hole generated by // outwards expansion // geometry, not a hole generated by outwards expansion - ringVec.add(shellHoles[i]); + ringVec.add(shellHole); } } diff --git a/src/test/java/micycle/pgs/PGS_TriangulationTests.java b/src/test/java/micycle/pgs/PGS_TriangulationTests.java index 219b07ac..3016f222 100644 --- a/src/test/java/micycle/pgs/PGS_TriangulationTests.java +++ b/src/test/java/micycle/pgs/PGS_TriangulationTests.java @@ -24,4 +24,4 @@ void testFromPoints() { assertEquals(tin.countTriangles().getCount(), triangulation.getChildCount()); } -} +} \ No newline at end of file From 9173acbc557c1edfb5a7f6ddc033d6bd97f3d369 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 3 Jul 2023 12:03:31 +0100 Subject: [PATCH 65/88] add meshing splitEdges() --- CHANGELOG.md | 9 +-- src/main/java/micycle/pgs/PGS_Meshing.java | 75 +++++++++++++++++++- src/main/java/micycle/pgs/commons/PEdge.java | 43 ++++++++++- src/main/java/micycle/pgs/commons/PMesh.java | 10 ++- 4 files changed, 126 insertions(+), 11 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index e16f6d1d..5897d364 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -19,6 +19,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `createArbelos()` to `PGS_Construction`. Creates an _arbelos_ figure. * `createTeardrop()` to `PGS_Construction`. Creates a teardrop figure. * `createGear()` to `PGS_Construction`. Creates a gear figure. +* `createSponge()` to `PGS_Construction`. Creates a sponge-like porous structure. +* `createSuperRandomPolygon()` to `PGS_Construction`. Generates a highly customisable random polygon based on a square grid of cells. * `maximumPerimeterSquare()` to `PGS_Optimisation`. Finds the largest square whose 4 vertices each lie on the perimeter of a shape. * `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). * `reorderChildren()` to `PGS_Conversion`. Reorders the child shapes of a shape according to given comparator. @@ -38,8 +40,10 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `fromGraph()` to `PGS_Conversion`. Converts a graph consisting of PVectors and PEdges into a PShape by polygonizing its edges. * `smoothMesh()` to `PGS_Meshing`. Smoothes a mesh via iterative weighted Laplacian smoothing. * `stochasticMerge()` to `PGS_Meshing`. Randomly merges together adjacent faces of a mesh. +* `areaMerge()` to `PGS_Meshing`. Merges/dissolves small faces of a mesh into their neighboring faces. * `simplifyMesh()` to `PGS_Meshing`. Simplifies the boundaries of the faces in a mesh while preserving the original mesh topology. * `nodeNonMesh()` to `PGS_Meshing`. Transforms a non-conforming mesh shape into a conforming mesh via "noding". +* `splitEdges()` to `PGS_Meshing`. Splits each edge of a given mesh shape into a specified number of equal parts. * `toCircles()` to `PGS_Conversion`. Creates a PShape having circle geometries representing a collection of circles. * `fromPShape()` to `PGS_SegmentSet`. Extracts a list of unique PEdge segments representing the given shape. * `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. @@ -51,9 +55,6 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `binPack()` to `PGS_Optimisation`. Packs irregular polygonal shapes into rectangular containers (bins). * `smoothEllipticFourier()` to `PGS_Morphology`. Smoothes a shape using its elliptic fourier descriptors. * `efdSimilarity()` to `PGS_ShapePredicates`. Quantifies the similarity between two shapes, using elliptic fourier descriptors. -* `areaMerge()` to `PGS_Meshing`. Merges/dissolves small faces of a mesh into their neighboring faces. -* `createSponge()` to `PGS_Construction`. Creates a sponge-like porous structure. -* `createSuperRandomPolygon()` to `PGS_Construction`. Generates a highly customisable random polygon based on a square grid of cells. * `dissolve()` to `PGS_SegmentSet`. Dissolves a collection of edges into a set of maximal-length linestrings. ### Changed @@ -86,7 +87,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `PGS_Processing.extractPerimeter()` now behaves as expected when perimeter location values are negative. * Positive-valued offset arguments passed to `point[s]OnExterior()` methods could incorrectly produce offsets towards the interior of a shape. Such values will now always correspond to offset **away** from a shape's interior. * `PGS_ShapePredicates.holes()` now identifies and counts gaps in meshes as holes. - +* Quads made by `splitQuadrangulation` were unclosed and are now closed polygons. ### Removed * diff --git a/src/main/java/micycle/pgs/PGS_Meshing.java b/src/main/java/micycle/pgs/PGS_Meshing.java index af4e3c72..c8bd3e37 100644 --- a/src/main/java/micycle/pgs/PGS_Meshing.java +++ b/src/main/java/micycle/pgs/PGS_Meshing.java @@ -348,9 +348,9 @@ public static PShape splitQuadrangulation(final IIncrementalTin triangulation) { final PVector sI = PVector.add(cSeg, sC).div(2); // interior steiner point // anti-clockwise, starting at original vertex - quads.addChild(PGS_Conversion.fromPVector(p1, sC, sI, sA)); - quads.addChild(PGS_Conversion.fromPVector(p2, sA, sI, sB)); - quads.addChild(PGS_Conversion.fromPVector(p3, sB, sI, sC)); + quads.addChild(PGS_Conversion.fromPVector(p1, sC, sI, sA, p1)); + quads.addChild(PGS_Conversion.fromPVector(p2, sA, sI, sB, p2)); + quads.addChild(PGS_Conversion.fromPVector(p3, sB, sI, sC, p3)); } }); @@ -678,6 +678,43 @@ public static PShape smoothMesh(PShape mesh, int iterations, boolean preservePer return m.getMesh(); } + /** + * Smoothes a mesh via iterative weighted Laplacian smoothing. The effect + * of which is mesh faces become more uniform in size and shape (isotropic). + *

    + * This particular method iteratively smoothes the mesh until the displacement + * of the most displaced vertex in the prior iteration is less than + * displacementCutoff. + *

    + * In Laplacian smoothing, vertices are replaced with the (weighted) average of + * the positions of their adjacent vertices; it is computationally inexpensive + * and fairly effective (faces become more isotropic), but it does not guarantee + * improvement in element quality. + *

    + * Meshes with more faces take more iterations to converge to stable point. + * Meshes with highly convex faces may result in issues. + * + * @param mesh a GROUP PShape where each child shape is a single + * face comprising a conforming mesh + * @param displacementCutoff the + * @param preservePerimeter boolean flag to exclude the boundary vertices from + * being smoothed (thus preserving the mesh + * perimeter). Generally this should be set to true, + * otherwise the mesh will shrink as it is smoothed. + * @return the smoothed mesh + * @since 1.3.1 + */ + public static PShape smoothMesh(PShape mesh, double displacementCutoff, boolean preservePerimeter) { + displacementCutoff = Math.max(displacementCutoff, 1e-3); + PMesh m = new PMesh(mesh); + + double displacement; + do { + displacement = m.smoothWeighted(preservePerimeter); + } while (displacement > displacementCutoff); + return m.getMesh(); + } + /** * Simplifies the boundaries of the faces in a mesh while preserving the * original mesh topology. @@ -723,6 +760,38 @@ public static PShape areaMerge(PShape mesh, double areaThreshold) { return merged; } + /** + * Splits each edge of a given mesh shape into a specified number of + * equal-length parts and creates a new shape from the resulting smaller edges. + * This method preserves the overall topology of the original mesh. + * + * @param split The PShape representing a polygon to be split into smaller + * edges. + * @param parts The number of equal parts each edge of the polygon should be + * split into. Should be a positive integer, but if less than 1, + * it's reset to 1. + * @return A new mesh PShape created from the split edges. + * @since 1.3.1 + */ + public static PShape splitEdges(PShape split, int parts) { + parts = Math.max(1, parts); + HashSet edges = new HashSet<>(PGS_SegmentSet.fromPShape(split)); + List splitEdges = new ArrayList<>(edges.size() * parts); + + for (PEdge edge : edges) { + double from = 0; + double step = 1.0 / parts; + for (int i = 0; i < parts; i++) { + double to = from + step; + PEdge subEdge = edge.slice(from, to); + splitEdges.add(subEdge); + from = to; + } + } + + return PGS.polygonizeEdges(splitEdges); + } + /** * Calculate the longest edge of a given triangle. */ diff --git a/src/main/java/micycle/pgs/commons/PEdge.java b/src/main/java/micycle/pgs/commons/PEdge.java index 34d3083b..1853265f 100644 --- a/src/main/java/micycle/pgs/commons/PEdge.java +++ b/src/main/java/micycle/pgs/commons/PEdge.java @@ -38,7 +38,7 @@ public PEdge round() { } public PVector midpoint() { - return a.copy().add(b).div(2); + return PVector.add(a, b).div(2); } /** @@ -50,6 +50,47 @@ public float length() { return a.dist(b); } + /** + * Calculates the subsection of this PEdge as a new PEdge. + * + * @param from the start of the subsection as a normalized value along the + * length of this PEdge. 'from' should be less than or equal to + * 'to'. + * @param to the end of the subsection as a normalized value along the length + * of this PEdge. 'to' should be greater than or equal to 'from'. + * @return A new PEdge representing the subsection of this PEdge between 'from' + * (from end a) and 'to' (towards end b). + */ + public PEdge slice(double from, double to) { + final double TOLERANCE = 1e-7; + if (Math.abs(from) < TOLERANCE) { + from = 0; + } + if (Math.abs(to - 1) < TOLERANCE) { + to = 1; + } + if (from < 0 || to > 1 || from > to) { + throw new IllegalArgumentException( + "Parameters 'from' and 'to' must be between 0 and 1, and 'from' must be less than or equal to 'to'."); + } + + final PVector pointFrom; + if (from == 0) { + pointFrom = a.copy(); + } else { + pointFrom = PVector.lerp(a, b, (float) from); + } + + final PVector pointTo; + if (to == 1) { + pointTo = b.copy(); + } else { + pointTo = PVector.lerp(a, b, (float) to); + } + + return new PEdge(pointFrom, pointTo); + } + @Override /** * Direction-agnostic hash. diff --git a/src/main/java/micycle/pgs/commons/PMesh.java b/src/main/java/micycle/pgs/commons/PMesh.java index fe517fb7..a87e99eb 100644 --- a/src/main/java/micycle/pgs/commons/PMesh.java +++ b/src/main/java/micycle/pgs/commons/PMesh.java @@ -145,11 +145,12 @@ public float smooth(final boolean excludeBoundaryVertices) { * smoothed. Generally this should be set to * true, otherwise the mesh will shrink as it is * smoothed. - * @return the average displacement distance of the smoothed vertices + * @return the displacement of the most displaced vertex */ public float smoothWeighted(final boolean excludeBoundaryVertices) { float totalDisplacement = 0; int displacedVertices = 0; + float maxDisplacement = 0; for (PMeshVertex mv : meshVertices.values()) { if (excludeBoundaryVertices && mv.onBoundary) { @@ -165,12 +166,15 @@ public float smoothWeighted(final boolean excludeBoundaryVertices) { weight += w; } mean.div(weight); - totalDisplacement += mv.smoothedVertex.dist(mean); + final float displacement = mv.smoothedVertex.dist(mean); + totalDisplacement += displacement; + maxDisplacement = Math.max(maxDisplacement, displacement); displacedVertices++; mv.smoothedVertex.set(mean); } - return totalDisplacement / displacedVertices; +// return totalDisplacement / displacedVertices; + return maxDisplacement; } /** From 71467bdfc1f697e9a7d17865a4da19da817f77f3 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 17 Jul 2023 19:40:01 +0100 Subject: [PATCH 66/88] obstaclePack(), isValid(), toCentroidDualGraph() --- CHANGELOG.md | 3 ++ README.md | 7 +++ resources/circle_packing/obstaclePack.gif | Bin 0 -> 1066619 bytes .../java/micycle/pgs/PGS_CirclePacking.java | 42 ++++++++++++++++++ src/main/java/micycle/pgs/PGS_Conversion.java | 39 +++++++++++++++- .../java/micycle/pgs/PGS_ShapePredicates.java | 31 +++++++++++++ 6 files changed, 121 insertions(+), 1 deletion(-) create mode 100644 resources/circle_packing/obstaclePack.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 5897d364..7e7feb35 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -56,6 +56,9 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `smoothEllipticFourier()` to `PGS_Morphology`. Smoothes a shape using its elliptic fourier descriptors. * `efdSimilarity()` to `PGS_ShapePredicates`. Quantifies the similarity between two shapes, using elliptic fourier descriptors. * `dissolve()` to `PGS_SegmentSet`. Dissolves a collection of edges into a set of maximal-length linestrings. +* `toCentroidDualGraph()` to `PGS_Conversion`. Converts a mesh-like PShape into its centroid-based undirected dual-graph. +* `isValid()` to `PGS_ShapePredicates`. Checks if a PShape is valid, and reports the validation error if it is invalid. +* `obstaclePack()` to `PGS_CirclePacking`. Packs circles of varying radii within a given shape, whilst respecting pointal obstacles. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 44d10000..3fe65acc 100644 --- a/README.md +++ b/README.md @@ -671,6 +671,13 @@ Much of the functionality (but by no means all) is demonstrated below: + + + Obstacle + + + + ## *Coloring* diff --git a/resources/circle_packing/obstaclePack.gif b/resources/circle_packing/obstaclePack.gif new file mode 100644 index 0000000000000000000000000000000000000000..bf95c86ed35879d71e636f01efbc8bb805496064 GIT binary patch literal 1066619 zcmd43Rao2IzwH|Xf(H-U;O-&2dn+w* zuda6MV0`vU&*zh4<~RR_9hvf(w zV!e}-x!2dd*Ob3MX}hYDpk!`rt@NBg`vC+1CLaIs^$|&?Yjkw3BdzN5r19J7 zeLOsYQ;)7g)yhN3qT8$6ec`;zy5+me+f&E(ZLYlQj1OR#v2pMiJ4K*bjL;VlFJ_&I#xrMpC!}eu^ER{9P4I``- zD;z~*WrtnJ&Hb*OtBJkk#l6FWD*%9%`Vmu2R$EJ2QeBpZg9{7<007k25QrAw5kURG z{LtchjadC0}Ai~LM>1l0i#bN%|k@M|;JpsV>^g_Ttdn)j0BR#z@ z03ZwioIkB9AaEH7d;o)4o|Zcb$~+Xx357mjVsc|+^FDnmcz6$lgu-yRC>*{=M)p8X 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whilst respecting + * pointal obstacles using the Largest Empty Circle (LEC) algorithm. The method + * continues to generate circles until the sum of the areas of the circles + * exceeds a specified proportion of the area of the given shape. + * + * @param shape The shape within which circles will be packed. The + * shape should be in the form of PShape. + * @param pointObstacles A collection of PVector points representing obstacles, + * around which circles are packed. Only points contained + * within the shape are relevant. + * @param areaCoverRatio The target ratio of the total area of the circles to + * the area of the shape. This parameter should be a + * double between 0 and 1. Circle generation will stop + * when this ratio is reached. + * @return A list of PVectors, where each PVector represents a circle. The x and + * y components of the PVector represent the center of the circle, and + * the z component represents the radius of the circle. + * @since 1.3.1 + */ + public static List obstaclePack(PShape shape, Collection pointObstacles, double areaCoverRatio) { + final Geometry geometry = fromPShape(shape); + + LargestEmptyCircles lec = new LargestEmptyCircles(fromPShape(PGS_Conversion.toPointsPShape(pointObstacles)), geometry, + areaCoverRatio > 0.95 ? 0.5 : 1); + + final double shapeArea = geometry.getArea(); + double circlesArea = 0; + List circles = new ArrayList<>(); + + while (circlesArea / shapeArea < areaCoverRatio) { + double[] currentLEC = lec.findNextLEC(); + circles.add(new PVector((float) currentLEC[0], (float) currentLEC[1], (float) currentLEC[2])); + circlesArea += Math.PI * currentLEC[2] * currentLEC[2]; + if (currentLEC[2] < 0.5) { + break; + } + } + return circles; + } + /** * Generates a circle packing of the input shape, using the inscribed circles * (or incircles) of triangles from a triangulation of the shape. diff --git a/src/main/java/micycle/pgs/PGS_Conversion.java b/src/main/java/micycle/pgs/PGS_Conversion.java index e249ad82..68fa6f00 100644 --- a/src/main/java/micycle/pgs/PGS_Conversion.java +++ b/src/main/java/micycle/pgs/PGS_Conversion.java @@ -96,7 +96,7 @@ public final class PGS_Conversion { /** Approximate distance between successive sample points on bezier curves */ - private static final float BEZIER_SAMPLE_DISTANCE = 2; + static final float BEZIER_SAMPLE_DISTANCE = 2; private static Field MATRIX_FIELD; /** * A boolean flag that affects whether a PShape's style (fillColor, strokeColor, @@ -969,6 +969,43 @@ public static SimpleGraph toDualGraph(PShape mesh) { return toDualGraph(getChildren(mesh)); } + /** + * Converts a mesh-like PShape into its centroid-based undirected dual-graph. + *

    + * The output is a dual graph of the input; it has a vertex for each + * centroid of the face of the input, and an edge (connecting the centroids) for + * each pair of faces that are adjacent. Each vertex represents the geometric + * center or centroid of the respective face in the mesh. + * + * @param mesh a GROUP PShape, whose children constitute the polygonal faces of + * a conforming mesh. A conforming mesh consists of adjacent + * cells that not only share edges, but every pair of shared edges + * are identical (having the same coordinates) (such as a + * triangulation). + * @return the centroid-based dual graph of the input mesh; an undirected graph + * containing no graph loops or multiple edges. Each vertex in the graph + * represents the centroid of a face in the input mesh, and each edge + * represents adjacency between two faces. + * @since 1.3.1 + * @see #toDualGraph(PShape) + * @see PGS_ShapePredicates#centroid(PShape) + */ + public static SimpleGraph toCentroidDualGraph(PShape mesh) { + final SimpleGraph toplogy = toDualGraph(getChildren(mesh)); + Map centroids = toplogy.vertexSet().stream().collect(Collectors.toMap(x -> x, PGS_ShapePredicates::centroid)); + + SimpleGraph graph = new SimpleGraph<>(PEdge.class); + centroids.values().forEach(v -> graph.addVertex(v)); + toplogy.edgeSet().forEach(e -> { + PVector c1 = centroids.get(toplogy.getEdgeSource(e)); + PVector c2 = centroids.get(toplogy.getEdgeTarget(e)); + PEdge edge = new PEdge(c1, c2); + graph.addEdge(c1, c2, edge); + }); + + return graph; + } + /** * @param meshFaces collection of faces comprising a conforming mesh. * @return diff --git a/src/main/java/micycle/pgs/PGS_ShapePredicates.java b/src/main/java/micycle/pgs/PGS_ShapePredicates.java index c7e7443d..a1b2449c 100644 --- a/src/main/java/micycle/pgs/PGS_ShapePredicates.java +++ b/src/main/java/micycle/pgs/PGS_ShapePredicates.java @@ -26,6 +26,7 @@ import org.locationtech.jts.geom.Point; import org.locationtech.jts.geom.Polygon; import org.locationtech.jts.geom.util.PolygonExtracter; +import org.locationtech.jts.operation.valid.IsValidOp; import micycle.pgs.commons.EllipticFourierDesc; import micycle.pgs.commons.GeometricMedian; @@ -600,4 +601,34 @@ public static boolean isConformingMesh(PShape mesh) { return CoverageValidator.isValid(geoms); } + /** + * Checks if a PShape is valid, and reports the validation error if it is + * invalid. + *

    + * An invalid shape is one that violates the rules of geometric validity. Some + * common reasons for a shape to be considered invalid include: + *

    + * + * @param shape The PShape to validate. + * @return {@code true} if the shape is valid, {@code false} otherwise. + * @since 1.3.1 + */ + public static boolean isValid(PShape shape) { + IsValidOp validate = new IsValidOp(fromPShape(shape)); + if (validate.getValidationError() == null) { + return true; + } else { + System.err.println(validate.getValidationError()); + return false; + } + } + } From 5c6c9512dab6291d2883f15358a1f53f9238976d Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 17 Jul 2023 19:40:54 +0100 Subject: [PATCH 67/88] add poissonTriangulationMesh --- .../java/micycle/pgs/PGS_Triangulation.java | 44 ++++++++++++------- 1 file changed, 28 insertions(+), 16 deletions(-) diff --git a/src/main/java/micycle/pgs/PGS_Triangulation.java b/src/main/java/micycle/pgs/PGS_Triangulation.java index 08419ca9..6ded13e9 100644 --- a/src/main/java/micycle/pgs/PGS_Triangulation.java +++ b/src/main/java/micycle/pgs/PGS_Triangulation.java @@ -356,12 +356,7 @@ public static IIncrementalTin delaunayTriangulationMesh(Collection poin * @see #poissonTriangulationPoints(PShape, double) */ public static PShape poissonTriangulation(PShape shape, double spacing) { - final Envelope e = fromPShape(shape).getEnvelopeInternal(); - - final List poissonPoints = PGS_PointSet.poisson(e.getMinX(), e.getMinY(), e.getMinX() + e.getWidth(), - e.getMinY() + e.getHeight(), spacing, 0); - - final IIncrementalTin tin = delaunayTriangulationMesh(shape, poissonPoints, true, 0, false); + final IIncrementalTin tin = poissonTriangulationMesh(shape, spacing); final PShape triangulation = new PShape(PConstants.GROUP); @@ -392,12 +387,7 @@ public static PShape poissonTriangulation(PShape shape, double spacing) { * @see #poissonTriangulation(PShape, double) */ public static List poissonTriangulationPoints(PShape shape, double spacing) { - final Envelope e = fromPShape(shape).getEnvelopeInternal(); - - final List poissonPoints = PGS_PointSet.poisson(e.getMinX(), e.getMinY(), e.getMinX() + e.getWidth(), - e.getMinY() + e.getHeight(), spacing, 0); - - final IIncrementalTin tin = delaunayTriangulationMesh(shape, poissonPoints, true, 0, false); + final IIncrementalTin tin = poissonTriangulationMesh(shape, spacing); final ArrayList triangles = new ArrayList<>(); TriangleCollector.visitTrianglesConstrained(tin, t -> { @@ -408,6 +398,28 @@ public static List poissonTriangulationPoints(PShape shape, double spac return triangles; } + /** + * Creates a Delaunay triangulation of the shape where additional steiner + * points, populated by poisson sampling, are included. + *

    + * This method returns the triangulation in its raw form: a + * TriangulatedIrregular Network (mesh). + * + * @param shape + * @param spacing (Minimum) spacing between poisson points + * @return Triangulated Irregular Network object (mesh) + * @see #poissonTriangulation(PShape, double) + */ + public static IIncrementalTin poissonTriangulationMesh(PShape shape, double spacing) { + final Envelope e = fromPShape(shape).getEnvelopeInternal(); + + final List poissonPoints = PGS_PointSet.poisson(e.getMinX(), e.getMinY(), e.getMinX() + e.getWidth(), + e.getMinY() + e.getHeight(), spacing, 0); + + final IIncrementalTin tin = delaunayTriangulationMesh(shape, poissonPoints, true, 0, false); + return tin; + } + /** * Computes a triangulation of the shape according to the ear clipping * ("earcut") method. The triangulation is constrained to the shape outline. @@ -432,7 +444,7 @@ public static PShape earCutTriangulation(PShape shape) { */ public static PShape toPShape(IIncrementalTin triangulation) { final PShape out = new PShape(PConstants.GROUP); - + final Consumer triangleVertexConsumer = t -> { final PShape triangle = new PShape(PShape.PATH); triangle.beginShape(); @@ -442,16 +454,16 @@ public static PShape toPShape(IIncrementalTin triangulation) { triangle.endShape(PConstants.CLOSE); out.addChild(triangle); }; - + if (!triangulation.getConstraints().isEmpty()) { TriangleCollector.visitTrianglesConstrained(triangulation, triangleVertexConsumer); } else { TriangleCollector.visitTriangles(triangulation, triangleVertexConsumer); } - + PGS_Conversion.setAllFillColor(out, RGB.WHITE); PGS_Conversion.setAllStrokeColor(out, RGB.PINK, 2); - + return out; } From 3ce7aa528c99b8ac3b5e769028ef301698c6a690 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Mon, 17 Jul 2023 20:26:06 +0100 Subject: [PATCH 68/88] add createRandomBezierPolygon() --- CHANGELOG.md | 1 + README.md | 2 + resources/pgs/randomBezierShape.gif | Bin 0 -> 74384 bytes .../java/micycle/pgs/PGS_Construction.java | 31 +- .../pgs/commons/BezierShapeGenerator.java | 344 ++++++++++++++++++ 5 files changed, 377 insertions(+), 1 deletion(-) create mode 100644 resources/pgs/randomBezierShape.gif create mode 100644 src/main/java/micycle/pgs/commons/BezierShapeGenerator.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 7e7feb35..20bbe60b 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -20,6 +20,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `createTeardrop()` to `PGS_Construction`. Creates a teardrop figure. * `createGear()` to `PGS_Construction`. Creates a gear figure. * `createSponge()` to `PGS_Construction`. Creates a sponge-like porous structure. +* `createRandomBezierPolygon()` to `PGS_Construction`. Generates a smooth or spiky random polygon comprising Bezier curves. * `createSuperRandomPolygon()` to `PGS_Construction`. Generates a highly customisable random polygon based on a square grid of cells. * `maximumPerimeterSquare()` to `PGS_Optimisation`. Finds the largest square whose 4 vertices each lie on the perimeter of a shape. * `rectPack()` to `PGS_Optimisation`. Packs a collection of rectangles into rectangular 2D bin(s). diff --git a/README.md b/README.md index 3fe65acc..9af14922 100644 --- a/README.md +++ b/README.md @@ -770,9 +770,11 @@ Much of the functionality (but by no means all) is demonstrated below: Gear Super Random Polygon + Random Bezier Polygon + diff --git a/resources/pgs/randomBezierShape.gif b/resources/pgs/randomBezierShape.gif new file mode 100644 index 0000000000000000000000000000000000000000..a47bb08fc9cee899bbf2189272e088e6d7dfdda1 GIT binary patch literal 74384 zcmcHBS5y~Re{{H<-CX@gD*TwUX=JF*gOKnZFOR|#EP!IqBp5HK-+xaMd z{s8}(27n*~SOkZDd(}_^f=Se2yuErP1<7YvuHR8Jn!zIHvpn8WJC=>pPUkS_yf=|A zY}w>6(RqKeSlabPxxvG_S7pkf+shLV>)+hPCs1=5b~Q}b>gS7Id(qW6TW?ltSYi06 zX};O^q0fgGkD3?ToJZ0*jUKnWedsmYbZzqSgZJG*pI=lMb+>-#k387^FxlPqX^;S= z;WF-NUmZzh5_5dn)A4yMhtH_exVLkCvP91JEe$!*D|D^ z3)gzXX^{XxC%;01B6V;e1+%mB5DbOiBS7ip0XzUf5=fazir9IUJg{o0`INwkXKuT2la6 zvv36u(5d4q!6z;PD{5vB>wwlR}>$i84Bb8NT0wXKEM5w&J@tRP2Zw 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zhYP_2p)PcX{y_KY_Z7YkS}C?Ut+(#7I~Q-T{*1f)>emm%Kj!tr4?}J_tT)&`Oi065 z50TuHNAV-&d^gzm+%?m}e%672%124TjCqL%ilfGd{A#~C@fgUD&7-Vem!&{)GIzv< zHgyg5glFZ2vU&VYM;>PXuZXK!fsPzIf?1Sl-cY(G`pfbu%QJJ(rh*NU|Uy|D9EGpI2*~!w?izADP+2)x(n~ W!Z*~1$HG0t(=*WWww|vSp!z>nwm=pD literal 0 HcmV?d00001 diff --git a/src/main/java/micycle/pgs/PGS_Construction.java b/src/main/java/micycle/pgs/PGS_Construction.java index 975371dd..5930335e 100644 --- a/src/main/java/micycle/pgs/PGS_Construction.java +++ b/src/main/java/micycle/pgs/PGS_Construction.java @@ -28,6 +28,7 @@ import it.unimi.dsi.util.XoRoShiRo128PlusRandom; import micycle.pgs.PGS_Contour.OffsetStyle; import micycle.pgs.color.RGB; +import micycle.pgs.commons.BezierShapeGenerator; import micycle.pgs.commons.PEdge; import micycle.pgs.commons.RandomPolygon; import micycle.pgs.commons.RandomSpaceFillingCurve; @@ -792,7 +793,8 @@ public static PShape createRandomSFCurve(int nColumns, int nRows, double cellWid } /** - * Generates a highly customisable random polygon based on a square grid of NxN cells. + * Generates a highly customisable random polygon based on a square grid of NxN + * cells. *

    * The number of vertices of the polygon generated is not configurable, but * depends on the size of cells and the percentage @@ -838,6 +840,33 @@ public static PShape createSuperRandomPolygon(double dimensions, int cells, doub return PGS_Transformation.translateToOrigin(polygon); } + /** + * Generates a random polygon using Bezier curves. + * + * @param nPoints The number of bezier curves the polygon consists of. + * @param scale Polygon scale. Determines the maximum width or height the + * polygon could have. + * @param radius The radius relative to the distance between adjacent points. + * The radius is used to position the control points of the + * bezier curve, should be between 0 and 1. Larger values + * result in sharper features on the curve. + * @param spikiness A measure of the curve's smoothness. If 0, the curve's angle + * through each point will be the average between the direction + * to adjacent points. As it increases, the angle will be + * determined mostly by one adjacent point, making the curve + * more "spiky". + * @param seed the seed for the random number generator + * @return the random polygon shape + * @since 1.3.1 + */ + public static PShape createRandomBezierPolygon(int nPoints, double scale, double radius, double spikiness, long seed) { + BezierShapeGenerator bsg = new BezierShapeGenerator(nPoints, 3, radius, spikiness); + Geometry shape = PGS.GEOM_FACTORY.createPolygon(bsg.generate(false, false, scale, seed)); + PShape poly = toPShape(shape); + poly.setStroke(false); + return PGS_Transformation.translateToOrigin(poly); + } + /** * Creates a closed Sierpiński curve (a recursive space-filling curve), having a * user-defined degree/order. diff --git a/src/main/java/micycle/pgs/commons/BezierShapeGenerator.java b/src/main/java/micycle/pgs/commons/BezierShapeGenerator.java new file mode 100644 index 00000000..f4246080 --- /dev/null +++ b/src/main/java/micycle/pgs/commons/BezierShapeGenerator.java @@ -0,0 +1,344 @@ +package micycle.pgs.commons; + +import java.util.ArrayList; +import java.util.Arrays; +import java.util.List; +import java.util.SplittableRandom; + +import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.CoordinateList; + +import micycle.betterbeziers.CubicBezier; +import net.jafama.FastMath; + +/** + * 2D random shape generator using Bezier curves. + * + * @author Michael Carleton + * @author Jonathan Viquerat + * + */ +public class BezierShapeGenerator { + + /* + * Ports https://github.com/jviquerat/shapes which is in turn inspired by + * https://stackoverflow.com/a/50751932/9808792. + */ + + private double[][] controlPts; + private final int nControlPts; + private final double bezierSampleDistance; + private double[] radius; + private double[] spikiness; + private double[][] curvePts; + + /** + * Constructs a BezierShapeGenerator object with the specified number of control + * points, bezier sample distance, radius and spikiness. + * + * @param nControlPts The number of control points for the bezier + * curve. + * @param bezierSampleDistance The sample distance along the bezier curve. + * @param radius The radius relative to the distance between + * adjacent points. The radius is used to position + * the control points of the bezier curve, should be + * between 0 and 1. Larger values result in sharper + * features on the curve. + * @param spikiness A measure of the curve's smoothness. If 0, the + * curve's angle through each point will be the + * average between the direction to adjacent points. + * As it increases, the angle will be determined + * mostly by one adjacent point, making the curve + * more "spiky". + */ + public BezierShapeGenerator(int nControlPts, double bezierSampleDistance, double radius, double spikiness) { + this.nControlPts = nControlPts; + this.bezierSampleDistance = bezierSampleDistance; + + this.radius = new double[nControlPts]; + for (int i = 0; i < nControlPts; i++) { + this.radius[i] = radius; + } + + this.spikiness = new double[nControlPts]; + for (int i = 0; i < nControlPts; i++) { + this.spikiness[i] = spikiness; + } + + } + + /** + * Generates a shape's curve based on the control points. The shape's curve can + * be scaled, centered and sorted in counter-clockwise order. + * + * @param centering If true, the generated shape will be centered at the origin + * (0, 0). + * @param cylinder If true, the control points will be initialized in a + * cylindrical formation. If false, the control points are + * generated randomly. + * @param scale The factor by which the initial control points are + * magnified. + * @param seed The seed used for random control point generation + * (applicable when cylinder is false). + * @return An array of Coordinates representing the generated shape's vertices. + */ + public Coordinate[] generate(boolean centering, boolean cylinder, double scale, long seed) { + + if (nControlPts < 3) { + return new Coordinate[] {}; + } + + // Generate random control points if empty + if (controlPts == null || controlPts.length == 0) { + if (cylinder) { + controlPts = generateCylinderPts(nControlPts); + } else { + controlPts = generateRandomPts(nControlPts, seed); + } + } + + // Magnify + for (int i = 0; i < controlPts.length; i++) { + controlPts[i][0] *= scale; + controlPts[i][1] *= scale; + } + + // Center set of points + if (centering) { + double centerX = 0; + double centerY = 0; + for (int i = 0; i < controlPts.length; i++) { + centerX += controlPts[i][0]; + centerY += controlPts[i][1]; + } + centerX /= controlPts.length; + centerY /= controlPts.length; + + for (int i = 0; i < controlPts.length; i++) { + controlPts[i][0] -= centerX; + controlPts[i][1] -= centerY; + } + } + + // Sort points counter-clockwise to avoid shape self-intersections + double[][] sortedPts = new double[controlPts.length][2]; + double[] sortedRadius = new double[radius.length]; + double[] sortedEdgy = new double[spikiness.length]; + ccwSort(controlPts, radius, spikiness, sortedPts, sortedRadius, sortedEdgy); + controlPts = sortedPts; + radius = sortedRadius; + spikiness = sortedEdgy; + + // Other local variables + double[][] delta = new double[nControlPts][2]; + double[][] radii = new double[nControlPts][2]; + double[][] deltaB = new double[nControlPts][2]; + + // Compute curve information + for (int i = 0; i < nControlPts; i++) { + + int prev = (i - 1 + nControlPts) % nControlPts; + int next = (i + 1) % nControlPts; + + double[] ptPrev = controlPts[prev]; + double[] ptCurr = controlPts[i]; + double[] ptNext = controlPts[next]; + + // Compute delta vector + double[] diff = subtract(ptNext, ptPrev); + double norm = norm(diff); + delta[i][0] = diff[0] / norm; + delta[i][1] = diff[1] / norm; + + // Compute spikiness vector + double[] deltaBpt = scale(0.5, add(ptPrev, ptNext)); + deltaB[i] = subtract(deltaBpt, ptCurr); + + // Compute radii + double dist = distance(ptPrev, ptCurr); + radii[i][0] = 0.5 * dist * radius[i]; + + dist = distance(ptCurr, ptNext); + radii[i][1] = 0.5 * dist * radius[i]; + + } + + // Generate curves + List localCurves = new ArrayList<>(); + for (int i = 0; i < nControlPts; i++) { + final int next = (i + 1) % nControlPts; + + final double[] ptCurr = controlPts[i]; + final double[] ptNext = controlPts[next]; + + double[][] localCurve = generateBezierCurve(ptCurr, ptNext, delta[i], delta[next], deltaB[i], deltaB[next], radii[i][1], + radii[next][0], spikiness[i], spikiness[next]); + + localCurves.add(localCurve); + + } + curvePts = localCurves.stream().flatMap(Arrays::stream).toArray(double[][]::new); + + // Recenter if needed + if (centering) { + double[] center = mean(curvePts); + for (int i = 0; i < curvePts.length; i++) { + curvePts[i][0] -= center[0]; + curvePts[i][1] -= center[1]; + } + for (int i = 0; i < controlPts.length; i++) { + controlPts[i][0] -= center[0]; + controlPts[i][1] -= center[1]; + } + } + + final Coordinate[] coords = Arrays.stream(curvePts).map(p -> new Coordinate(p[0], p[1])).toArray(Coordinate[]::new); + + return new CoordinateList(coords, false).toCoordinateArray(); + + } + + // Compute distance between two points + private static double distance(double[] p1, double[] p2) { + double dx = p1[0] - p2[0]; + double dy = p1[1] - p2[1]; + return Math.sqrt(dx * dx + dy * dy); + } + + // Generate random points + private static double[][] generateRandomPts(int nPts, long seed) { + SplittableRandom r = new SplittableRandom(seed); + double[][] pts = new double[nPts][2]; + for (int i = 0; i < nPts; i++) { + pts[i][0] = r.nextDouble(); + pts[i][1] = r.nextDouble(); + } + return pts; + } + + // Generate cylinder points + private static double[][] generateCylinderPts(int n_pts) { + if (n_pts < 4) { + System.out.println("Not enough points to generate cylinder"); + } + + double[][] pts = new double[n_pts][2]; + double ang = 2.0 * Math.PI / n_pts; + for (int i = 0; i < n_pts; i++) { + pts[i][0] = FastMath.cos(i * ang); + pts[i][1] = FastMath.sin(i * ang); + } + + return pts; + } + + // Compute mean of array + private static double[] mean(double[][] x) { + double[] mean = new double[x[0].length]; + for (double[] xi : x) { + for (int j = 0; j < xi.length; j++) { + mean[j] += xi[j]; + } + } + for (int j = 0; j < mean.length; j++) { + mean[j] /= x.length; + } + return mean; + } + + // Compute ccwise ordering + private static void ccwSort(double[][] pts, double[] radius, double[] edgy, double[][] sortedPts, double[] sortedRadius, + double[] sortedEdgy) { + + // Compute geometric center + double[] center = mean(pts); + + // Translate points + double[][] translatedPts = new double[pts.length][2]; + for (int i = 0; i < pts.length; i++) { + translatedPts[i][0] = pts[i][0] - center[0]; + translatedPts[i][1] = pts[i][1] - center[1]; + } + + // Compute angles + double[] angles = new double[pts.length]; + for (int i = 0; i < pts.length; i++) { + angles[i] = FastMath.atan2(translatedPts[i][1], translatedPts[i][0]); + } + + // Sort by ascending angles + Integer[] index = new Integer[pts.length]; + for (int i = 0; i < pts.length; i++) { + index[i] = i; + } + Arrays.sort(index, (i1, i2) -> Double.compare(angles[i1], angles[i2])); + + // Copy to output arrays + for (int i = 0; i < pts.length; i++) { + sortedPts[i] = pts[index[i]]; + sortedRadius[i] = radius[index[i]]; + sortedEdgy[i] = edgy[index[i]]; + } + + } + + // Generate bezier curve + private double[][] generateBezierCurve(double[] p1, double[] p2, double[] delta1, double[] delta2, double[] deltaB1, double[] deltaB2, + double radius1, double radius2, double edgy1, double edgy2) { + + // Control points + double[][] controlPts = new double[4][2]; + controlPts[0] = p1; + controlPts[3] = p2; + + // Baseline intermediate control points + double[] ctrlPt1Base = scale(radius1, delta1); + double[] ctrlPt2Base = scale(-radius2, delta2); + + // Edge intermediate control points + double[] ctrlPt1Edgy = deltaB1; + double[] ctrlPt2Edgy = deltaB2; + + // Compute intermediate control points + controlPts[1] = add(p1, add(ctrlPt1Base, scale(edgy1, ctrlPt1Edgy))); + controlPts[2] = add(p2, add(ctrlPt2Base, scale(edgy2, ctrlPt2Edgy))); + + CubicBezier curve = new CubicBezier(controlPts); + return curve.sampleEquidistantPoints(bezierSampleDistance); + + } + + // Utility functions + private static double[] add(double[] x, double[] y) { + double[] out = new double[x.length]; + for (int i = 0; i < x.length; i++) { + out[i] = x[i] + y[i]; + } + return out; + } + + private static double[] subtract(double[] x, double[] y) { + double[] out = new double[x.length]; + for (int i = 0; i < x.length; i++) { + out[i] = x[i] - y[i]; + } + return out; + } + + private static double[] scale(double a, double[] x) { + double[] out = new double[x.length]; + for (int i = 0; i < x.length; i++) { + out[i] = a * x[i]; + } + return out; + } + + private static double norm(double[] x) { + double sumSq = 0; + for (double v : x) { + sumSq += v * v; + } + return Math.sqrt(sumSq); + } + +} \ No newline at end of file From f4bf271c79c1591bb475f7f23a89f4ba6afe6cf3 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 27 Jul 2023 15:27:13 +0100 Subject: [PATCH 69/88] add align() --- CHANGELOG.md | 1 + README.md | 3 + resources/transform/align.gif | Bin 0 -> 1096557 bytes .../java/micycle/pgs/PGS_Transformation.java | 74 ++++++++ .../pgs/commons/ProcrustesAlignment.java | 175 ++++++++++++++++++ 5 files changed, 253 insertions(+) create mode 100644 resources/transform/align.gif create mode 100644 src/main/java/micycle/pgs/commons/ProcrustesAlignment.java diff --git a/CHANGELOG.md b/CHANGELOG.md index 20bbe60b..c02f375d 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -60,6 +60,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `toCentroidDualGraph()` to `PGS_Conversion`. Converts a mesh-like PShape into its centroid-based undirected dual-graph. * `isValid()` to `PGS_ShapePredicates`. Checks if a PShape is valid, and reports the validation error if it is invalid. * `obstaclePack()` to `PGS_CirclePacking`. Packs circles of varying radii within a given shape, whilst respecting pointal obstacles. +* `align()` to `PGS_Transformation`. Aligns one polygon shape to another, by finding the optimal transformation. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 9af14922..473ac160 100644 --- a/README.md +++ b/README.md @@ -145,16 +145,19 @@ Much of the functionality (but by no means all) is demonstrated below: Resize Homothetic Transformation Shear + Align + Projection-transform a shape with respect to a fixed point. + Maximum-overlap alignment. diff --git a/resources/transform/align.gif b/resources/transform/align.gif new file mode 100644 index 0000000000000000000000000000000000000000..af9f7d5101f314e28cafb38a85a77ec689ff202b GIT binary patch literal 1096557 zcma&NWl&tfyY9PY7~EZgyNBQw7zpkfED#)m2X_Xy;O-FI-EGidAq0ouP6+OSOiuoL z?^Ea8Tld55FRNDds_Io;)$h|!Kfjh&loJ*)y8+#RrhtEqm4QJP1Y#TDjz1MHRaCS- z*KKljjY>@|ZE5MhFm0cmUAc{)dhFXi*gw9yyncNA{pZgg#Q*O`_ZL%5R!94dl!h!X zHxCl%-+*+F5D56+lk-2L|K~RVGz0)bqf}@p90)}tWPdl-P&5>Y$Dov}(D->ImWuU)MtOAQv2`KsM*r$0K}PBy-Fx1VpqLosR8dO9w5$5J@nPxo|QAI=mj z7pV1i-JUEr+iy3OsrNgKhs6UCTryA#b? 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z{t>mu*uEnQQ0ZsiHrFM8ee72|^hD2M_pxY0-q+joOBdht&0p%e%QM*Ad^nSd{r=4F zo&MR!dRWIoFXut3^mmAdZ%DU%0C;}5Cwc`qfS;s7n&v?KS8(>%ehJusHimoY_i*d? zHl$>Ipyz+U$AJp=fFD?P--mQ^)^>`AbpMBf=H`3@q*18UeJ(h8pjUl7NQ2fEfo4ZP z8%PldSbj~HdGa%VKv;1*cuKS;bx7EBJ2-_+$U(7ph3GXuuBL@v_cWHEJAX8& + * This method signature aligns the shape according to a provided ratio, + * indicating how much alignment transformation to apply. + * + * @param alignShape the polygon shape to be transformed and aligned to the + * other shape. + * @param baseShape the shape that the other shape will be aligned to. + * @param alignmentRatio a value in [0,1] indicating how much to transform the + * shape from its original position to its most aligned + * position. 0 means no transformation, 1 means maximum + * alignment. + * @return a new PShape that is the transformed and aligned version of + * sourceShape. + * @since 1.3.1 + */ + public static PShape align(PShape alignShape, PShape baseShape, double alignmentRatio) { + final Geometry g1 = fromPShape(alignShape); + final Geometry g2 = fromPShape(baseShape); + if (g1.getGeometryType() != Geometry.TYPENAME_POLYGON || g2.getGeometryType() != Geometry.TYPENAME_POLYGON) { + throw new IllegalArgumentException("Inputs to align() must be polygons."); + } + if (((Polygon) g1).getNumInteriorRing() > 0 || ((Polygon) g2).getNumInteriorRing() > 0) { + throw new IllegalArgumentException("Polygon inputs to align() must be holeless."); + } + + // both shapes need same vertex quantity + final int vertices = Math.min(alignShape.getVertexCount(), baseShape.getVertexCount()) - 1; + PShape sourceShapeT = alignShape; + PShape transformShapeT = baseShape; + if (alignShape.getVertexCount() > vertices) { + sourceShapeT = PGS_Morphology.simplifyDCE(alignShape, vertices); + } + if (baseShape.getVertexCount() > vertices) { + transformShapeT = PGS_Morphology.simplifyDCE(baseShape, vertices); + } + + double[] m = ProcrustesAlignment.transform((Polygon) fromPShape(sourceShapeT), (Polygon) fromPShape(transformShapeT)); + + Coordinate c = g2.getCentroid().getCoordinate(); + double scale = 1 + (m[2] - 1) * alignmentRatio; + AffineTransformation transform = AffineTransformation.scaleInstance(scale, scale, c.x, c.y).rotate(m[3] * alignmentRatio, c.x, c.y) + .translate(m[0] * alignmentRatio, m[1] * alignmentRatio); + Geometry aligned = transform.transform(g2); + + return toPShape(aligned); + } + /** * Rotates a shape around a given point. * diff --git a/src/main/java/micycle/pgs/commons/ProcrustesAlignment.java b/src/main/java/micycle/pgs/commons/ProcrustesAlignment.java new file mode 100644 index 00000000..8c66d502 --- /dev/null +++ b/src/main/java/micycle/pgs/commons/ProcrustesAlignment.java @@ -0,0 +1,175 @@ +package micycle.pgs.commons; + +import org.apache.commons.math3.linear.MatrixUtils; +import org.apache.commons.math3.linear.RealMatrix; +import org.apache.commons.math3.linear.SingularValueDecomposition; +import org.locationtech.jts.geom.Coordinate; +import org.locationtech.jts.geom.Polygon; + +/** + * + * The ProcrustesAlignment class provides methods for performing + * ProcrustesAlignment analysis, which is a technique for aligning and comparing + * geometric shapes. ProcrustesAlignment analysis aims to find the best + * transformation (translation, rotation, and scaling) that minimizes the + * differences between corresponding points of two shapes. + *

    + * This class is particularly useful in shape matching and analysis tasks where + * the only permitted deformation modes are uniform scaling, rotation, and + * translation. It is commonly used in various fields such as computer vision, + * image processing, pattern recognition, and bioinformatics. + * + * @author Michael Carleton + */ +public class ProcrustesAlignment { + + private ProcrustesAlignment() { + } + + /** + * Performs ProcrustesAlignment Analysis to align two polygons. + *

    + * Finds the optimal scaling, translation and rotation to best align + * transformPolygon with respect to sourcePolygon. + *

    + * Note: the polygons should have the same number of vertices. + * + * @param sourcePolygon the first polygon + * @param transformPolygon the polygon to transform/align + * @return an array containing the optimal translation (x, y), scale, and + * rotation angle (radians, clockwise) to align transform polygon to + * source polygon. + */ + public static double[] transform(final Polygon sourcePolygon, final Polygon transformPolygon) { + final Coordinate[] coordsA = sourcePolygon.getExteriorRing().getCoordinates(); + final Coordinate[] coordsB = transformPolygon.getExteriorRing().getCoordinates(); + + if (coordsA.length != coordsB.length) { + throw new IllegalArgumentException("Polygon exterior rings are different lengths!"); + } + + // Find optimal translation + Coordinate t = findTranslation(sourcePolygon, transformPolygon); + + // Shift to origin (required for scaling & rotation) + Coordinate ca = sourcePolygon.getCentroid().getCoordinate(); + Coordinate cb = transformPolygon.getCentroid().getCoordinate(); + translate(coordsA, -ca.x, -ca.y); + translate(coordsB, -cb.x, -cb.y); + + // Find optimal scale + double scale = findScale(coordsA, coordsB); + + // Find optimal rotation + double theta = findRotation(coordsA, coordsB); + + // Return transformation parameters + return new double[] { t.x, t.y, scale, theta }; + } + + /** + * Translates an array of coordinates by dx and dy. + * + * @param coords the array of coordinates to translate + * @param dx the translation in x + * @param dy the translation in y + */ + private static void translate(final Coordinate[] coords, final double dx, final double dy) { + for (Coordinate c : coords) { + c.x += dx; + c.y += dy; + } + } + + /** + * Finds the optimal translation vector between two polygons. + * + * @param a the first polygon + * @param b the second polygon + * @return the translation vector as a Coordinate + */ + private static Coordinate findTranslation(Polygon a, Polygon b) { + Coordinate ca = a.getCentroid().getCoordinate(); + Coordinate cb = b.getCentroid().getCoordinate(); + + return new Coordinate(ca.x - cb.x, ca.y - cb.y); + + } + + /** + * Finds the optimal scale factor to match the size of two coordinate arrays. + * + * @param aCoords the first coordinate array + * @param bCoords the second coordinate array + * @return the scale factor + */ + private static double findScale(final Coordinate[] aCoords, final Coordinate[] bCoords) { + double rmsd1 = getRMSD(aCoords); + double rmsd2 = getRMSD(bCoords); + + return rmsd1 / rmsd2; + } + + /** + * Calculates the RMSD (root mean square deviation) of a coordinate array. + * + * @param coords the array of coordinates + * @return the RMSD + */ + private static double getRMSD(final Coordinate[] coords) { + double sum = 0; + + for (Coordinate c : coords) { + sum += c.x * c.x + c.y * c.y; + } + + return Math.sqrt(sum / coords.length); + } + + /** + * Finds the optimal rotation angle to align two coordinate arrays. + * + * @param c1 the first coordinate array + * @param c2 the second coordinate array + * @return the rotation angle in radians + */ + private static double findRotation(final Coordinate[] c1, final Coordinate[] c2) { + RealMatrix m = computeOptimalRotationMatrix(c1, c2); + double cosTheta = m.getEntry(0, 0); + double sinTheta = m.getEntry(1, 0); + + double theta = Math.atan2(sinTheta, cosTheta); + return -theta; // NOTE negate for CW rotation + } + + /** + * Computes the optimal rotation matrix to align two coordinate arrays using + * Kabsch algorithm. + *

    + * Each array must be translated first, such that its centroid coincides with + * (0, 0). + * + * @param c1 the first coordinate array + * @param c2 the second coordinate array + * @return the 2x2 rotation matrix + */ + private static RealMatrix computeOptimalRotationMatrix(final Coordinate[] c1, final Coordinate[] c2) { + final double[][] covarianceMatrix = new double[2][2]; + for (int i = 0; i < c1.length; i++) { + final double[] translatedSourcePoint = { c1[i].x, c1[i].y }; + final double[] translatedTargetPoint = { c2[i].x, c2[i].y }; + + covarianceMatrix[0][0] += translatedSourcePoint[0] * translatedTargetPoint[0]; + covarianceMatrix[0][1] += translatedSourcePoint[0] * translatedTargetPoint[1]; + covarianceMatrix[1][0] += translatedSourcePoint[1] * translatedTargetPoint[0]; + covarianceMatrix[1][1] += translatedSourcePoint[1] * translatedTargetPoint[1]; + } + + final RealMatrix covarianceMatrixMatrix = MatrixUtils.createRealMatrix(covarianceMatrix); + + final SingularValueDecomposition svd = new SingularValueDecomposition(covarianceMatrixMatrix); + final RealMatrix rotationMatrix = svd.getV().multiply(svd.getUT()); + return rotationMatrix; + } + +} \ No newline at end of file From 10432b2dcfc2eec2a21ae71a3244581d632212b0 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Thu, 27 Jul 2023 15:31:45 +0100 Subject: [PATCH 70/88] javadocs --- CHANGELOG.md | 1 + .../java/micycle/pgs/PGS_Construction.java | 2 +- src/main/java/micycle/pgs/PGS_Contour.java | 10 +- src/main/java/micycle/pgs/PGS_Processing.java | 247 ++++++++++++------ .../pgs/commons/ShapeInterpolation.java | 1 + 5 files changed, 170 insertions(+), 91 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index c02f375d..329a1427 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -82,6 +82,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Renamed `miniumumBoundingRectangle()` to `minimumWidthRectangle()`. * `intersectMesh()` and `subtractMesh()` now fully preserve the styling of original mesh faces. * `PGS_Contour.medialAxis()` now returns dissolved maximal-length lines, rather than line segments only. +* `PGS_Processing.tangentAngle()` values correspond to the angle that the tangent line makes with the positive x-axis (east), orientated clockwise, regardless of polygon orientation. ### Fixed * A slow collections size call included in `prunePointsWithinDistance()` was making it much slower than it should have been. diff --git a/src/main/java/micycle/pgs/PGS_Construction.java b/src/main/java/micycle/pgs/PGS_Construction.java index 5930335e..ec36ab5d 100644 --- a/src/main/java/micycle/pgs/PGS_Construction.java +++ b/src/main/java/micycle/pgs/PGS_Construction.java @@ -841,7 +841,7 @@ public static PShape createSuperRandomPolygon(double dimensions, int cells, doub } /** - * Generates a random polygon using Bezier curves. + * Generates a smooth or spiky random polygon comprising Bezier curves. * * @param nPoints The number of bezier curves the polygon consists of. * @param scale Polygon scale. Determines the maximum width or height the diff --git a/src/main/java/micycle/pgs/PGS_Contour.java b/src/main/java/micycle/pgs/PGS_Contour.java index efbd026a..9998188d 100644 --- a/src/main/java/micycle/pgs/PGS_Contour.java +++ b/src/main/java/micycle/pgs/PGS_Contour.java @@ -481,19 +481,19 @@ public static PShape isolines(PShape shape, PVector highPoint, double intervalSp double[] intervals = generateDoubleSequence(0, maxDist, intervalSpacing); - /** - * A null valuator tells the builder to just use the z values from the vertices - * rather than applying any adjustments to their values. + /* + * "A null valuator tells the builder to just use the z values from the vertices + * rather than applying any adjustments to their values." */ final ContourBuilderForTin builder = new ContourBuilderForTin(tin, null, intervals, true); - List contours = builder.getContours(); + List contours = builder.getContours(); PShape parent = new PShape(PConstants.GROUP); parent.setKind(PConstants.GROUP); LineDissolver ld = new LineDissolver(); - for (org.tinfour.contour.Contour contour : contours) { + for (Contour contour : contours) { Coordinate[] coords = new Coordinate[contour.getCoordinates().length / 2]; for (int i = 0; i < contour.getCoordinates().length; i += 2) { float vx = (float) contour.getCoordinates()[i]; diff --git a/src/main/java/micycle/pgs/PGS_Processing.java b/src/main/java/micycle/pgs/PGS_Processing.java index 664caad2..c60f30e6 100644 --- a/src/main/java/micycle/pgs/PGS_Processing.java +++ b/src/main/java/micycle/pgs/PGS_Processing.java @@ -103,14 +103,17 @@ private PGS_Processing() { } /** - * Densifies a shape by inserting extra vertices along the line segments - * contained in the shape. + * Densifies a shape by inserting additional vertices along its line segments. + * This results in a more detailed representation of the shape, affecting its + * structure without altering its geometry. * - * @param shape - * @param distanceTolerance the densification tolerance to use. All line - * segments in the densified geometry will be no longer - * than the distance tolerance. The distance tolerance - * must be positive. + * @param shape The shape to be densified. It should be a lineal or + * polygonal shape. + * @param distanceTolerance The densification tolerance used. All line segments + * in the densified geometry will have lengths no + * longer than the specified distance tolerance. The + * distance tolerance must be a positive value. + * @return A new PShape object representing the densified geometry. */ public static PShape densify(PShape shape, double distanceTolerance) { Densifier d = new Densifier(fromPShape(shape)); @@ -120,23 +123,29 @@ public static PShape densify(PShape shape, double distanceTolerance) { } /** - * Extracts a point from the perimeter (exterior) of the shape at a given - * fraction around its perimeter. + * Extracts a point from the perimeter (exterior) of the given shape at a + * specific position along its perimeter. * - * @param shape a lineal or polygonal shape. If the input is a GROUP - * shape, a single point will be extracted from its first - * child. - * @param distance 0...1 around shape perimeter; or -1...0 (other - * direction) - * @param offsetDistance perpendicular offset distance, where 0 is exactly on - * the shape exteriod. Positive values offset the point - * away from the shape (outwards); negative values offset - * the point inwards towards its interior. + * @param shape A lineal or polygonal shape. If the input is a GROUP + * shape, a single point will be extracted from its + * first child shape. + * @param perimeterPosition A normalised position along the perimeter of a shape + * [0...1]. 0 corresponds to the starting point of the + * shape's perimeter, and 1 corresponds to the ending + * point of the perimeter; any value between 0 and 1 + * represents a proportional distance along the shape's + * boundary. + * @param offsetDistance A perpendicular offset distance from the shape's + * perimeter. A value of 0 corresponds to exactly on + * the shape's exterior/ Positive values offset the + * point away from the shape (outwards); negative + * values offset the point inwards towards its + * interior. * @return * @see #pointsOnExterior(PShape, int, double) */ - public static PVector pointOnExterior(PShape shape, double distance, double offsetDistance) { - distance %= 1; + public static PVector pointOnExterior(PShape shape, double perimeterPosition, double offsetDistance) { + perimeterPosition %= 1; Geometry g = fromPShape(shape); if (g instanceof Polygonal) { @@ -151,24 +160,35 @@ public static PVector pointOnExterior(PShape shape, double distance, double offs } LengthIndexedLine l = new LengthIndexedLine(g); - Coordinate coord = l.extractPoint(distance * l.getEndIndex(), offsetDistance); + Coordinate coord = l.extractPoint(perimeterPosition * l.getEndIndex(), offsetDistance); return new PVector((float) coord.x, (float) coord.y); } /** - * Extracts many points from the perimeter (faster than calling other method - * lots) + * Efficiently extracts multiple points from the perimeter of a shape, evenly + * distributed along its boundary. + *

    + * This method provides a faster alternative to calling other methods repeatedly + * when you need to obtain multiple points along the exterior of the shape. The + * extracted points will be evenly distributed along the shape's perimeter, + * allowing you to efficiently sample the boundary. * - * @param shape a lineal or polygonal shape. If the input is a GROUP + * @param shape The shape from which to extract points. It should be a + * lineal or polygonal shape. If the input is a GROUP * shape, a single point will be extracted from its first * child. - * @param points number of points to return; evenly distibuted around - * the perimeter of the shape - * @param offsetDistance offset distance along a line perpendicular to the - * perimeter - * @return + * @param points The number of points to return, evenly distributed + * around the perimeter of the shape. + * @param offsetDistance The offset distance along a line perpendicular to the + * perimeter. Positive values will offset the points away + * from the shape's boundary (outwards), while negative + * values will offset the points inwards towards its + * interior. + * @return An array of PVector objects representing the extracted points on the + * shape's perimeter. * @see #pointOnExterior(PShape, double, double) * @see #pointsOnExterior(PShape, double, double) + * @since 1.3.0 */ public static List pointsOnExterior(PShape shape, int points, double offsetDistance) { // TODO another method that returns concave hull of returned points (when @@ -199,13 +219,31 @@ public static List pointsOnExterior(PShape shape, int points, double of /** * Generates a list of points that lie on the exterior/perimeter of the given * shape. + *

    + * This method creates a list of points that are evenly spaced along the shape's + * exterior. The points are distributed around the shape's boundary with a + * specified distance between each consecutive point. You can use this method to + * obtain a set of points that represents an approximation of the shape's + * outline. * - * @param shape a lineal or polygonal shape. If the input is a - * GROUP shape, a single point will be extracted from - * its first child. - * @param interPointDistance distance between each exterior point - * @param offsetDistance - * @return + * @param shape The shape from which to generate the points. It + * should be a lineal or polygonal shape. If the input + * is a GROUP shape, a single point will be extracted + * from its first child. + * @param interPointDistance The distance between each exterior point. This + * value controls the density of the points and + * determines how closely the points will be spaced + * along the shape's perimeter. + * @param offsetDistance The offset distance along a line perpendicular to + * the perimeter. Positive values will offset the + * points away from the shape's boundary (outwards), + * while negative values will offset the points + * inwards towards its interior. + * @return An array of PVector objects representing the points lying on the + * shape's exterior. + * @see #pointOnExterior(PShape, double, double) + * @see #densify(PShape, double) + * @since 1.3.0 */ public static List pointsOnExterior(PShape shape, double interPointDistance, double offsetDistance) { // TODO points on holes @@ -288,40 +326,51 @@ public static PShape extractPerimeter(PShape shape, double from, double to) { } /** - * Finds the angle of the line tangent to the shape at a certain point on its - * perimeter (given by the some fraction of the distance around the perimeter). - *

    - * The tangent line is orientated clockwise with respect to the shape and the - * output angle is normalized to be in the range [ -PI, PI ]. + * Calculates the angle of the line tangent to the shape at a specific point on + * its perimeter. The position of the point is determined by the normalized + * distance along the shape's perimeter. * - * @param shape - * @param distanceFraction the distance fraction around the perimeter [0...1] - * @return the normalized angle (in radians) that a line tangent to the - * perimeter of the shape at the given position makes with the positive - * x-axis, where 0 is north. + * @param shape The shape for which to find the tangent angle. + * @param perimeterRatio A normalised position along the perimeter of a shape + * [0...1]. 0 corresponds to the starting point of the + * shape's perimeter, and 1 corresponds to the ending + * point of the perimeter; any value between 0 and 1 + * represents a proportional distance along the shape's + * boundary. + * @return the normalized angle (in radians) that the tangent line at the + * specified position makes with the positive x-axis (east), orientated + * clockwise. * @since 1.3.0 */ - public static double tangentAngle(PShape shape, double distanceFraction) { - distanceFraction %= 1; + public static double tangentAngle(PShape shape, double perimeterRatio) { + perimeterRatio %= 1; Geometry g = fromPShape(shape); if (!g.getGeometryType().equals(Geometry.TYPENAME_LINEARRING) && !g.getGeometryType().equals(Geometry.TYPENAME_LINESTRING)) { - g = ((Polygon) g).getExteriorRing(); - // TODO check orientation and ensure CCW? + LinearRing e = ((Polygon) g).getExteriorRing(); + if (Orientation.isCCW(e.getCoordinates())) { + e = e.reverse(); + } + g = e; } LengthIndexedLine l = new LengthIndexedLine(g); - double d1 = (distanceFraction * l.getEndIndex()) - 1e-7; - double d2 = (distanceFraction * l.getEndIndex()) + 1e-7; + final double position = perimeterRatio * l.getEndIndex(); + final double d1 = position - 1e-5; + final double d2 = position + 1e-5; Coordinate coordA = l.extractPoint(d1); // CCW - point behind first Coordinate coordB = l.extractPoint(d2); // CCW - point after second - return Angle.angle(coordA, coordB); + double angle = Angle.angle(coordA, coordB); // CCW + angle += Math.PI * 2; // [1PI...3PI] + angle %= (Math.PI * 2); // [0...2PI], CW + + return angle; } /** - * Computes all points of intersection between the perimeter of + * Computes all points of intersection between the perimeters of * two shapes. *

    * NOTE: This method shouldn't be confused with @@ -348,6 +397,7 @@ public void processIntersections(SegmentString e0, int segIndex0, SegmentString points.add(new PVector((float) sid.getIntersection().x, (float) sid.getIntersection().y)); } } + @Override public boolean isDone() { return false; @@ -630,18 +680,25 @@ public static PShape nest(PShape shape, int n, double r) { } /** - * Removes overlap between polygons contained in a GROUP shape, preserving only - * line segments that are visible to a human, rather than a computer (to use as - * input for a pen plotter, for example). + * Removes overlap between polygons contained in a GROUP shape, + * preserving only visible line segments suitable for pen plotting and similar + * applications. *

    - * Any overlapping lines are also removed during the operation. + * This method processes a GROUP shape consisting of lineal or + * polygonal child shapes, aiming to create linework that represents only the + * segments visible to a human, rather than a computer. The resulting linework + * is useful for pen plotters or other applications where only the visible paths + * are desired. *

    - * Order of shape layers is important: the method will consider the last child - * shape of the input to be "on top" of all other shapes (as is the case - * visually). + * During the operation, any overlapping lines are also removed to ensure a + * clean and clear representation of the shapes. It's important to note that the + * order of shape layers in the input GROUP shape is significant. The method + * considers the last child shape of the input to be "on top" of all other + * shapes, as is the case visually. * - * @param shape a GROUP shape consisting of lineal or polygonal child shapes - * @return linework of the overlapping input (LINES PShape) + * @param shape A GROUP shape containing lineal or polygonal child shapes. + * @return The resulting linework of the overlapping input as a LINES PShape, + * representing only visible line segments. * @since 1.3.0 */ public static PShape removeHiddenLines(PShape shape) { @@ -705,7 +762,7 @@ private static Polygon removeSmallHoles(Polygon polygon, double areaThreshold) { } /** - * Extracts all the holes from a shape returning them as if were polygons. + * Extracts all the holes from a shape, returning them as if they are polygons. * * @param shape the PShape to extract holes from * @return a new PShape that represents the holes extracted from the input @@ -760,11 +817,12 @@ public static PShape polygonizeLines(List lineSegmentVertices) { } /** - * Splits a shape into 4 equal (as measured be envelope area) quadrants. + * Splits a shape into four equal quadrants (based on the envelope of the + * shape). * - * @param shape the shape to split - * @return a GROUP PShape, where each child shape is some quadrant partition of - * the original shape + * @param shape The shape to be split into quadrants. + * @return A GROUP PShape where each child shape represents one of the four + * quadrants partitioned from the original shape. * @see #split(PShape, int) */ public static PShape split(PShape shape) { @@ -772,16 +830,23 @@ public static PShape split(PShape shape) { } /** - * Splits a shape into 4^(1+recursions) rectangular partitions. + * Splits a shape into 4^(1+recursions) rectangular partitions. + *

    + * This method performs a recursive split operation on the given shape, dividing + * it into a finer grid of rectangular partitions. Each recursion further + * divides the envelopes of the parent shapes into four quadrants, resulting in + * a more refined partitioning of the original shape. *

    - * Note: this operation is different to merely overlaying a grid on the shape - * and then splitting. Instead, during each recursion, the envelope of the - * parent is divided into 4 quadrants, but the envelope may be rectangular. + * It's important to note that this operation differs from merely overlaying a + * regular square grid on the shape and then splitting it. The recursive process + * ensures that each subdivision is based on the envelope of the parent shape, + * which may be rectangular. * - * @param shape - * @param splitDepth number of split recursions to perform - * @return a GROUP PShape, where each child shape is some quadrant partition of - * the original shape + * @param shape The shape to be split into rectangular partitions. + * @param splitDepth The number of split recursions to perform, determining the + * level of partitioning and grid refinement. + * @return A GROUP PShape, where each child shape represents one of the quadrant + * partitions of the original shape. * @see #split(PShape) */ public static PShape split(final PShape shape, int splitDepth) { @@ -837,14 +902,12 @@ public static PShape split(final PShape shape, int splitDepth) { } final PShape partitions = new PShape(PConstants.GROUP); - stack.forEach(g -> { - partitions.addChild(toPShape(g)); - }); + stack.forEach(g -> partitions.addChild(toPShape(g))); return partitions; } /** - * Partitions shape(s) into simple convex polygons. + * Partitions shape(s) into convex (simple) polygons. * * @param shape the shape to partition. can be a single polygon or a GROUP of * polygons @@ -1109,15 +1172,29 @@ public static PShape cleanCoverage(PShape coverage, double distanceTolerance, do /** * Filters out the children of a given PShape object based on a given Predicate - * function. + * function. Child shapes are filtered when the predicate is true: "remove + * if...". + *

    + * Example Lambda Code: + * + *

    +	 * {@code
    +	 * PGS_Processing.filterChildren(myShape, child -> PGS_ShapePredicates.area(child) < 50); // discard small child shapes
    +	 * }
    +	 * 
    * * @param shape The PShape whose children will be filtered. - * @param filterFunction A Predicate function that takes a PShape object and - * returns true if the child shape should be - * filtered out/removed from the shape. + * @param filterFunction A Predicate function that takes a PShape object as its + * argument and returns true if the child + * shape should be filtered out/removed from the + * shape. To retain child shapes, the Predicate function + * should return false. You can use a lambda + * expression or a method reference to implement the + * Predicate function. * @since 1.3.1 - * @return A new PShapethat contains only the children shapes of the input shape - * that satisfy the given Predicate function (==false). + * @return A new PShape that contains only the children shapes of the input + * shape that satisfy the given Predicate function + * (==false). */ public static PShape filterChildren(PShape shape, Predicate filterFunction) { filterFunction = filterFunction.negate(); diff --git a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java index 680fca6c..b6b6c10c 100644 --- a/src/main/java/micycle/pgs/commons/ShapeInterpolation.java +++ b/src/main/java/micycle/pgs/commons/ShapeInterpolation.java @@ -46,6 +46,7 @@ public ShapeInterpolation(LinearRing from, LinearRing to) { } // find the "smaller" ring (as measured by number of vertices) + // NOTE use Kabsch algorithm? CoordinateList smaller, bigger; boolean smallerIsTo = false; if (from.getNumPoints() > to.getNumPoints()) { From 741ce892038fde44ae63366ba0d0c866e61410ea Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 28 Jul 2023 14:02:56 +0100 Subject: [PATCH 71/88] add innerEdges() --- CHANGELOG.md | 2 ++ README.md | 2 ++ resources/meshing/innerEdges.gif | Bin 0 -> 54966 bytes src/main/java/micycle/pgs/PGS_Conversion.java | 2 +- src/main/java/micycle/pgs/PGS_Meshing.java | 28 ++++++++++++++++-- 5 files changed, 30 insertions(+), 4 deletions(-) create mode 100644 resources/meshing/innerEdges.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 329a1427..65988d05 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -61,6 +61,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `isValid()` to `PGS_ShapePredicates`. Checks if a PShape is valid, and reports the validation error if it is invalid. * `obstaclePack()` to `PGS_CirclePacking`. Packs circles of varying radii within a given shape, whilst respecting pointal obstacles. * `align()` to `PGS_Transformation`. Aligns one polygon shape to another, by finding the optimal transformation. +* `extractInnerEdges()` to `PGS_Meshing`. Extracts all inner edges from a mesh. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). @@ -94,6 +95,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Positive-valued offset arguments passed to `point[s]OnExterior()` methods could incorrectly produce offsets towards the interior of a shape. Such values will now always correspond to offset **away** from a shape's interior. * `PGS_ShapePredicates.holes()` now identifies and counts gaps in meshes as holes. * Quads made by `splitQuadrangulation` were unclosed and are now closed polygons. +* `PGS_Conversion.toGraph()` no longer adds a spurious closing edges on LINE shapes. ### Removed * diff --git a/README.md b/README.md index 473ac160..1872c106 100644 --- a/README.md +++ b/README.md @@ -536,11 +536,13 @@ Much of the functionality (but by no means all) is demonstrated below: Mesh Simplification Stochastic Merge Area Merge + Extract Inner Edges + diff --git a/resources/meshing/innerEdges.gif b/resources/meshing/innerEdges.gif new file mode 100644 index 0000000000000000000000000000000000000000..fceb3e87fb03022d87b6f6d211298f3d007a8a49 GIT binary patch literal 54966 zcmd3t=~EM1)UUfcP0|TTNC-%n!#rykWF9&YAdE&qg(G4>RGbk}QBk`?kT8e=0i&V@ zK}AIkf{Gr|22oH^qoU#*oDSj?aY7GrUfx^x!~GNPuGQ65yLNTe+N-+u+Ryr}=$I(~ 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static SimpleGraph toGraph(PShape shape) { final SimpleGraph graph = new SimpleWeightedGraph<>(PEdge.class); for (PShape face : getChildren(shape)) { - for (int i = 0; i < face.getVertexCount(); i++) { + for (int i = 0; i < face.getVertexCount() - (face.isClosed() ? 0 : 1); i++) { final PVector a = face.getVertex(i); final PVector b = face.getVertex((i + 1) % face.getVertexCount()); if (a.equals(b)) { diff --git a/src/main/java/micycle/pgs/PGS_Meshing.java b/src/main/java/micycle/pgs/PGS_Meshing.java index c8bd3e37..ff033b0d 100644 --- a/src/main/java/micycle/pgs/PGS_Meshing.java +++ b/src/main/java/micycle/pgs/PGS_Meshing.java @@ -683,7 +683,7 @@ public static PShape smoothMesh(PShape mesh, int iterations, boolean preservePer * of which is mesh faces become more uniform in size and shape (isotropic). *

    * This particular method iteratively smoothes the mesh until the displacement - * of the most displaced vertex in the prior iteration is less than + * value of the most displaced vertex in the prior iteration is less than * displacementCutoff. *

    * In Laplacian smoothing, vertices are replaced with the (weighted) average of @@ -695,8 +695,10 @@ public static PShape smoothMesh(PShape mesh, int iterations, boolean preservePer * Meshes with highly convex faces may result in issues. * * @param mesh a GROUP PShape where each child shape is a single - * face comprising a conforming mesh - * @param displacementCutoff the + * face comprising a conforming mesh. + * @param displacementCutoff the displacement threshold of the most displaced + * vertex in a single iteration to stop the iterative + * smoothing. * @param preservePerimeter boolean flag to exclude the boundary vertices from * being smoothed (thus preserving the mesh * perimeter). Generally this should be set to true, @@ -742,6 +744,26 @@ public static PShape simplifyMesh(PShape mesh, double tolerance, boolean preserv return PGS_Conversion.toPShape(Arrays.asList(output)); } + /** + * Extracts all inner edges from a mesh. Inner edges consist only of edges that + * are shared by adjacent faces, and not edges comprising the mesh boundary nor + * edges comprising holes within faces. + * + * @param mesh The conforming mesh shape to extract inner edges from. + * @return A shape representing the dissolved linework of inner mesh edges. + * @since 1.3.1 + */ + public static PShape extractInnerEdges(PShape mesh) { + List edges = PGS_SegmentSet.fromPShape(mesh); + Map bag = new HashMap<>(edges.size()); + edges.forEach(edge -> { + bag.merge(edge, 1, Integer::sum); + }); + + List innerEdges = bag.entrySet().stream().filter(e -> e.getValue() > 1).map(e -> e.getKey()).collect(Collectors.toList()); + return PGS_SegmentSet.dissolve(innerEdges); + } + /** * Recursively merges smaller faces of a mesh into their adjacent faces. The * procedure continues until there are no resulting faces with an area smaller From 4edb64bfd540dc35ec9c4fa21e46ba55e6500c89 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 28 Jul 2023 14:48:34 +0100 Subject: [PATCH 72/88] add centerLine() --- CHANGELOG.md | 1 + README.md | 2 + pom.xml | 2 +- resources/contour/centerLine.gif | Bin 0 -> 309447 bytes src/main/java/micycle/pgs/PGS_Contour.java | 119 +++++++++++++++++++++ 5 files changed, 123 insertions(+), 1 deletion(-) create mode 100644 resources/contour/centerLine.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 65988d05..b558704b 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -62,6 +62,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `obstaclePack()` to `PGS_CirclePacking`. Packs circles of varying radii within a given shape, whilst respecting pointal obstacles. * `align()` to `PGS_Transformation`. Aligns one polygon shape to another, by finding the optimal transformation. * `extractInnerEdges()` to `PGS_Meshing`. Extracts all inner edges from a mesh. +* `centerLine()` to `PGS_Contour`. Determines the longest center line passing through a given shape. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 1872c106..b8d16ebd 100644 --- a/README.md +++ b/README.md @@ -234,9 +234,11 @@ Much of the functionality (but by no means all) is demonstrated below: Distance Field + Center Line + diff --git a/pom.xml b/pom.xml index db2c6298..059467fc 100644 --- a/pom.xml +++ b/pom.xml @@ -232,7 +232,7 @@ com.github.micycle1 JMedialAxis - b2d29f0413 + 5207bec2f2 org.dyn4j diff --git a/resources/contour/centerLine.gif b/resources/contour/centerLine.gif new file mode 100644 index 0000000000000000000000000000000000000000..e1ea02deba232f3f70910c4ed70fdcb8ef742922 GIT binary patch literal 309447 zcmc$_RaBep!nGU2Ex1$MOMya>LK`R)w<5(IiWRq_!QI{6wYWF97AVDv6nB?mrDXGV zt#5zpAOG6NJIPrxGIEeHpZVO^HKkJ}0LF78VZ} z%nkss0)cEA8uoT}LB|4x=Z;@OLo*5rKDV~^U1d&*nFl z!~Na;!^6X*ZVBN3e9$4W6eZPE--szo@^W#5fsgOf-9jKB01`m=z@}vHZ28gB!_1V{ z&C=O|*23A@-bwh`Gc%75mgZb0b|0VF{rdv|&VRo4pWh5XL9Wt8n_6aDlvmpvblG!G 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    + * This method iterates through all the child shapes of the input shape, + * creating PEdge segments for each pair of consecutive vertices. + * + * @param shape shape from which to extract the edges. + * @return list of unique PEdge segments representing the edges of the input + * shape and its child shapes. + * @since 1.3.1 + */ + public static List fromPShape(PShape shape) { + Set edges = new HashSet<>(shape.getVertexCount() / 2); + for (PShape child : PGS_Conversion.getChildren(shape)) { + for (int i = 0; i < child.getVertexCount(); i++) { + final PVector a = child.getVertex(i); + final PVector b = child.getVertex((i + 1) % child.getVertexCount()); + if (a.equals(b)) { + continue; + } + final PEdge e = new PEdge(a, b); + edges.add(e); + } + } + return new ArrayList<>(edges); + } + + /** + * Stretches each PEdge segment in the provided list by a specified factor. The + * stretch is applied by scaling the distance between the edge's vertices, while + * keeping the midpoint of the edge constant. + * + * @param segments The list of PEdges to be stretched. + * @param factor The factor by which to stretch each PEdge. A value greater + * than 1 will stretch the edges, while a value between 0 and 1 + * will shrink them. + * @return A new List of PEdges representing the stretched edges. + * @since 1.3.1 + */ + public static List stretch(List segments, double factor) { + List stretchedEdges = new ArrayList<>(segments.size()); + + for (PEdge edge : segments) { + PVector midpoint = PVector.add(edge.a, edge.b).mult(0.5f); + PVector newA = PVector.add(midpoint, PVector.sub(edge.a, midpoint).mult((float) factor)); + PVector newB = PVector.add(midpoint, PVector.sub(edge.b, midpoint).mult((float) factor)); + stretchedEdges.add(new PEdge(newA, newB)); + } + + return stretchedEdges; + } + /** * Removes segments having a length less than the given length from a collection * of segmensts. @@ -427,7 +481,7 @@ public static List filterAxisAligned(List segments, double angleDe return filtered; } - private static List toPEdges(List segments) { + private static List toPEdges(Collection segments) { List edges = new ArrayList<>(segments.size()); segments.forEach(s -> { PEdge e = new PEdge(s.p0.x, s.p0.y, s.p1.x, s.p1.y); From 6a52742407e8e49b8fcdf828c6637dec3fe55c58 Mon Sep 17 00:00:00 2001 From: Michael Carleton Date: Fri, 14 Apr 2023 14:55:19 +0100 Subject: [PATCH 49/88] add nest() --- CHANGELOG.md | 3 +- README.md | 2 + resources/geometry_processing/nest.gif | Bin 0 -> 1804601 bytes src/main/java/micycle/pgs/PGS_Processing.java | 51 ++++++++++++++++++ 4 files changed, 55 insertions(+), 1 deletion(-) create mode 100644 resources/geometry_processing/nest.gif diff --git a/CHANGELOG.md b/CHANGELOG.md index 295f9f89..a3c81f0e 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -26,7 +26,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `scaleArea()` to `PGS_Transformation`. Scales the area of a given shape by a specified scale factor. * `circleCoverage()` to `PGS_Optimsation`. Covers a polygon with n circles. * Additional method signature for `PGS_Conversion.fromPVector()` that accepts a list of holes, each defined a list of by PVectors. -* `simpleSubtract()` to `PGS_ShapeBoolean`. Subtracts inner holes that lie within a shell, without geometric processing. +* `simpleSubtract()` to `PGS_ShapeBoolean`. Subtracts inner holes that lie within a given shell from the shell, without geometric processing. * `fromQuadraticBezier()` and `fromCubicBezier()` to `PGS_Conversion`. Makes a PATH shape representing a bezier curve (having equidistant sampling) given by its parameters. * `simplifyHobby()` to `PGS_Morphology`. Creates a smooth Hobby Curve from the vertices of a shape. * `toPShape()` to `PGS_Triangulation`. Converts a triangulated mesh object to a PShape representing the triangulation -- helpful when working with the raw mesh. @@ -42,6 +42,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * `toCircles()` to `PGS_Conversion`. Creates a PShape having circle geometries representing a collection of circles. * `fromPShape()` to `PGS_SegmentSet`. Extracts a list of unique PEdge segments representing the given shape. * `stretch()` to `PGS_SegmentSet`. Stretches segments in a list by a specified factor. +* `nest()` to `PGS_Processing`. Creates a nested shape having n levels of inner polygons. ### Changed * Reimplemented `PGS_Processing.equalParition()`. New algorithm is ~2x faster. Also removed `precise` parameter from method signature (no longer necessary). diff --git a/README.md b/README.md index 643c6de4..6bebfdb8 100644 --- a/README.md +++ b/README.md @@ -429,9 +429,11 @@ Much of the functionality (but by no means all) is demonstrated below: Extract Holes + Nest + diff --git a/resources/geometry_processing/nest.gif b/resources/geometry_processing/nest.gif new file mode 100644 index 0000000000000000000000000000000000000000..f1fa5fe909cd9187e60fde271566d59444a45d01 GIT binary patch literal 1804601 zcmZs?Wl)=Oqi;)acXxMpFO(K{FII}XySoN=cemgc+_kv7yB8>>&Eeg9-#Pc3d%xvF z@+9-j|CgC(%~~>Y(t<)io&ZmP7Zj)m=iYz+{@q)4{aLwsZP|XQSbg8Q`wiZEiX6XF zZMc!Hfr4WEg066@0=iQHy^S3|dJjHl&;LrE`Fr+6k0^4@S2DyLHztsJr_-EC>qP*| z>q%^GhG!s;seBzVa^?muq4m4g097*uhm+c&!*K3%6kNrO}Xq;vo4gN zVoO{6oIfR%-NqA32**nR$D2gqI>-#X<}W#O2XC2!PBiN#*^nG)AKyam zbi$cWk0`p#pHe)=@T4BXJHv?nlrKYPlg_577GbHbIsERemfS$Xab9v4h~ z&Y9oi$eEJLnPg22p|n5d%!{RQIkRkKKoq?WA6b(vzHkR$`}H4j=0AE3p1E~*@BrHw 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