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Merge pull request #25 from Zmax0/dev/2.4.4.1
2.4.4.1
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98 changes: 98 additions & 0 deletions
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urban-spork-client-gui/src/com/urbanspork/client/gui/spine/CatmullRom.java
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,98 @@ | ||
| package com.urbanspork.client.gui.spine; | ||
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| import javafx.geometry.Point2D; | ||
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| /** | ||
| * Java implement of <a href="https://en.wikipedia.org/wiki/Centripetal_Catmull–Rom_spline">Centripetal Catmull–Rom spline</a> | ||
| * | ||
| * @param alpha The alpha value ranges from 0 to 1 | ||
| * <ul> | ||
| * <li>0.5 for the centripetal spline | ||
| * <li>0.0 for the uniform spline | ||
| * <li>1.0 for the chordal spline | ||
| * </ul> | ||
| * @author Zmax0 | ||
| */ | ||
| public record CatmullRom(double alpha) { | ||
| /** | ||
| * Calculate Catmull-Rom for a sequence of initial points and return the combined curve. | ||
| * | ||
| * @param points Base points from which the quadruples for the algorithm are taken | ||
| * @param segment The number of points include in each curve segment | ||
| * @return The combined curve | ||
| */ | ||
| public Point2D[] interpolate(Point2D[] points, int segment) { | ||
| if (points.length < 2) { | ||
| throw new IllegalArgumentException("The points parameter must be greater than 2"); | ||
| } | ||
| if (points.length < 3) { | ||
| return points; | ||
| } | ||
| Point2D[] controls = getControls(points); | ||
| Point2D[] curve = new Point2D[points.length + (points.length - 1) * segment]; | ||
| for (int i = 0; i < controls.length - 3; i++) { | ||
| curve[i * (segment + 1)] = controls[i + 1]; | ||
| Point2D[] temp = interpolate(controls[i], controls[i + 1], controls[i + 2], controls[i + 3], segment); | ||
| System.arraycopy(temp, 0, curve, i * (segment + 1) + 1, segment); | ||
| } | ||
| curve[curve.length - 1] = (controls[controls.length - 2]); // last | ||
| return curve; | ||
| } | ||
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| private Point2D[] getControls(Point2D[] point) { | ||
| Point2D[] controls = new Point2D[point.length + 2]; | ||
| System.arraycopy(point, 0, controls, 1, point.length); | ||
| // set two control points at start C1 and end C2 | ||
| if (point[0].equals(point[point.length - 1])) { // if is close | ||
| // C1 = P(n-1) | ||
| controls[0] = point[point.length - 2]; | ||
| // C2 = P1 | ||
| controls[controls.length - 1] = point[1]; | ||
| } else { | ||
| // C1 = P0 - (P1 - P0) | ||
| controls[0] = point[0].subtract(point[1].subtract(point[0])); | ||
| // C2 = Pn + (Pn - P(n-1)) | ||
| controls[controls.length - 1] = point[point.length - 1].add(point[point.length - 1].subtract(point[point.length - 2])); | ||
| } | ||
| return controls; | ||
| } | ||
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| /** | ||
| * Calculate Catmull-Rom spline curve points starts with p1 and ends with p2 | ||
| * | ||
| * @param p0 The (x,y) point pairs that define the Catmull-Rom spline | ||
| * @param p1 The (x,y) point pairs that define the Catmull-Rom spline | ||
| * @param p2 The (x,y) point pairs that define the Catmull-Rom spline | ||
| * @param p3 The (x,y) point pairs that define the Catmull-Rom spline | ||
| * @param segment The number of points to include in each curve segment | ||
| * @return points for the resulting curve | ||
| */ | ||
| public Point2D[] interpolate(Point2D p0, Point2D p1, Point2D p2, Point2D p3, int segment) { | ||
| // calculate knots | ||
| double t0 = 0; | ||
| double t1 = getT(t0, p0, p1); | ||
| double t2 = getT(t1, p1, p2); | ||
| double t3 = getT(t2, p2, p3); | ||
| double step = (t2 - t1) / (segment - 1); | ||
| // evaluate the point | ||
| Point2D[] curve = new Point2D[segment]; | ||
| curve[0] = p1; | ||
| for (int i = 1; i < segment - 1; i++) { | ||
| double t = t1 + i * step; | ||
| Point2D a1 = p0.multiply((t1 - t) / (t1 - t0)).add(p1.multiply((t - t0) / (t1 - t0))); | ||
| Point2D a2 = p1.multiply((t2 - t) / (t2 - t1)).add(p2.multiply((t - t1) / (t2 - t1))); | ||
| Point2D a3 = p2.multiply((t3 - t) / (t3 - t2)).add(p3.multiply((t - t2) / (t3 - t2))); | ||
| Point2D b1 = a1.multiply((t2 - t) / (t2 - t0)).add(a2.multiply((t - t0) / (t2 - t0))); | ||
| Point2D b2 = a2.multiply((t3 - t) / (t3 - t1)).add(a3.multiply((t - t1) / (t3 - t1))); | ||
| curve[i] = b1.multiply((t2 - t) / (t2 - t1)).add(b2.multiply((t - t1) / (t2 - t1))); | ||
| } | ||
| curve[curve.length - 1] = p2; | ||
| return curve; | ||
| } | ||
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| // calculate knots | ||
| private double getT(double t, Point2D p0, Point2D p1) { | ||
| Point2D d = p1.subtract(p0); | ||
| return Math.pow(d.dotProduct(d), alpha * .5) + t; | ||
| } | ||
| } |
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