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| 1 | +package org.scijava.ui.swing.plot; |
| 2 | + |
| 3 | +import org.jzy3d.analysis.AWTAbstractAnalysis; |
| 4 | +import org.jzy3d.chart.Chart; |
| 5 | +import org.jzy3d.chart.factories.AWTChartFactory; |
| 6 | +import org.jzy3d.colors.Color; |
| 7 | +import org.jzy3d.colors.ColorMapper; |
| 8 | +import org.jzy3d.colors.colormaps.ColorMapRainbow; |
| 9 | +import org.jzy3d.maths.Coord3d; |
| 10 | +import org.jzy3d.maths.Range; |
| 11 | +import org.jzy3d.plot3d.builder.Mapper; |
| 12 | +import org.jzy3d.plot3d.builder.SurfaceBuilder; |
| 13 | +import org.jzy3d.plot3d.builder.concrete.OrthonormalGrid; |
| 14 | +import org.jzy3d.plot3d.primitives.Scatter; |
| 15 | +import org.jzy3d.plot3d.primitives.Shape; |
| 16 | +import org.jzy3d.plot3d.rendering.canvas.Quality; |
| 17 | + |
| 18 | +import java.util.ArrayList; |
| 19 | +import java.util.List; |
| 20 | +import java.util.Random; |
| 21 | + |
| 22 | +public class Jzy3DDemo extends AWTAbstractAnalysis { |
| 23 | + private double[][] data; |
| 24 | + private int gridSize = 50; |
| 25 | + private double bandwidthX; |
| 26 | + private double bandwidthY; |
| 27 | + |
| 28 | + public Jzy3DDemo() { |
| 29 | + super(); |
| 30 | + setFactory(new AWTChartFactory()); |
| 31 | + } |
| 32 | + |
| 33 | + public static void main(String[] args) throws Exception { |
| 34 | + Jzy3DDemo demo = new Jzy3DDemo(); |
| 35 | + demo.init(); |
| 36 | + demo.getChart().open("Bivariate KDE", 800, 600); |
| 37 | + } |
| 38 | + |
| 39 | + @Override |
| 40 | + public Chart initializeChart() { |
| 41 | + Quality quality = Quality.Advanced(); |
| 42 | + // Initialize the chart |
| 43 | + Chart chart = getFactory().newChart(quality); |
| 44 | + this.chart = chart; // Store the chart in the parent class |
| 45 | + return chart; |
| 46 | + } |
| 47 | + |
| 48 | + @Override |
| 49 | + public void init() throws Exception { |
| 50 | + // First initialize the chart |
| 51 | + Chart chart = initializeChart(); |
| 52 | + |
| 53 | + // Generate sample data - two clusters |
| 54 | + int n = 1000; |
| 55 | + Random rand = new Random(42); |
| 56 | + data = new double[n][2]; |
| 57 | + |
| 58 | + // Generate two clusters |
| 59 | + for (int i = 0; i < n; i++) { |
| 60 | + if (rand.nextDouble() < 0.6) { |
| 61 | + // First cluster |
| 62 | + data[i][0] = rand.nextGaussian() * 0.5 + 2; |
| 63 | + data[i][1] = rand.nextGaussian() * 0.5 + 2; |
| 64 | + } else { |
| 65 | + // Second cluster |
| 66 | + data[i][0] = rand.nextGaussian() * 0.3 + 4; |
| 67 | + data[i][1] = rand.nextGaussian() * 0.3 + 4; |
| 68 | + } |
| 69 | + } |
| 70 | + |
| 71 | + // Calculate grid boundaries |
| 72 | + double minX = Double.POSITIVE_INFINITY; |
| 73 | + double maxX = Double.NEGATIVE_INFINITY; |
| 74 | + double minY = Double.POSITIVE_INFINITY; |
| 75 | + double maxY = Double.NEGATIVE_INFINITY; |
| 76 | + |
| 77 | + for (double[] point : data) { |
| 78 | + minX = Math.min(minX, point[0]); |
| 79 | + maxX = Math.max(maxX, point[0]); |
| 80 | + minY = Math.min(minY, point[1]); |
| 81 | + maxY = Math.max(maxY, point[1]); |
| 82 | + } |
| 83 | + |
| 84 | + // Add padding |
| 85 | + double padX = (maxX - minX) * 0.1; |
| 86 | + double padY = (maxY - minY) * 0.1; |
| 87 | + minX -= padX; |
| 88 | + maxX += padX; |
| 89 | + minY -= padY; |
| 90 | + maxY += padY; |
| 91 | + |
| 92 | + // Calculate bandwidth using Silverman's rule |
| 93 | + double sdX = calculateSD(data, 0); |
| 94 | + double sdY = calculateSD(data, 1); |
| 95 | + bandwidthX = 1.06 * sdX * Math.pow(n, -0.2); |
| 96 | + bandwidthY = 1.06 * sdY * Math.pow(n, -0.2); |
| 97 | + |
| 98 | + // Create KDE mapper |
| 99 | + Mapper mapper = new Mapper() { |
| 100 | + @Override |
| 101 | + public double f(double x, double y) { |
| 102 | + double sum = 0; |
| 103 | + for (double[] point : data) { |
| 104 | + double zx = (x - point[0]) / bandwidthX; |
| 105 | + double zy = (y - point[1]) / bandwidthY; |
| 106 | + sum += Math.exp(-0.5 * (zx * zx + zy * zy)) / |
| 107 | + (2 * Math.PI * bandwidthX * bandwidthY); |
| 108 | + } |
| 109 | + return sum / data.length; |
| 110 | + } |
| 111 | + }; |
| 112 | + |
| 113 | + // Create surface |
| 114 | + Range xRange = new Range((float)minX, (float)maxX); |
| 115 | + Range yRange = new Range((float)minY, (float)maxY); |
| 116 | + |
| 117 | + OrthonormalGrid grid = new OrthonormalGrid(xRange, gridSize, yRange, gridSize); |
| 118 | + Shape surface = new SurfaceBuilder().orthonormal(grid, mapper); |
| 119 | + |
| 120 | + // Style the surface |
| 121 | + surface.setColorMapper(new ColorMapper(new ColorMapRainbow(), surface.getBounds().getZmin(), surface.getBounds().getZmax())); |
| 122 | + surface.setWireframeDisplayed(true); |
| 123 | + surface.setWireframeColor(Color.BLACK); |
| 124 | + chart.add(surface); |
| 125 | + |
| 126 | + // Create scatter plot of original data |
| 127 | + List<Coord3d> points = new ArrayList<>(); |
| 128 | + for (double[] point : data) { |
| 129 | + points.add(new Coord3d(point[0], point[1], 0)); |
| 130 | + } |
| 131 | + Scatter scatter = new Scatter(points.toArray(new Coord3d[0]), Color.BLACK); |
| 132 | + chart.add(scatter); |
| 133 | + } |
| 134 | + |
| 135 | + private static double calculateSD(double[][] data, int dimension) { |
| 136 | + double mean = 0; |
| 137 | + for (double[] point : data) { |
| 138 | + mean += point[dimension]; |
| 139 | + } |
| 140 | + mean /= data.length; |
| 141 | + |
| 142 | + double variance = 0; |
| 143 | + for (double[] point : data) { |
| 144 | + double diff = point[dimension] - mean; |
| 145 | + variance += diff * diff; |
| 146 | + } |
| 147 | + variance /= (data.length - 1); |
| 148 | + |
| 149 | + return Math.sqrt(variance); |
| 150 | + } |
| 151 | + |
| 152 | + @Override |
| 153 | + public String getName() { |
| 154 | + return "Bivariate KDE Example"; |
| 155 | + } |
| 156 | + |
| 157 | + @Override |
| 158 | + public String getPitch() { |
| 159 | + return "2D Kernel Density Estimation visualization"; |
| 160 | + } |
| 161 | +} |
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