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Piecewise curve approximation for Processing

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micycle1/Spliner

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Spliner

Piecewise curve approximation for Processing 4+.

Spliner constructs piecewise curves that have the best fit to a list of points. Four algorithms are implemented:

  • Quad + Bezier curve fitting
  • Smooth Fitting
  • Least-square fitting
  • Polygon fitting

Algorithms byAndrés Solís Montero.

Usage

List<PVector> points;Fitting fitting = new BezierFitting(); // or new LeastSquareFitting(), etc.List<Shape> beziers = fitting.fitCurve(points);for (var curve : curves) {    if (curve instanceof CubicCurve) {        var c = (CubicCurve) curve;        bezier(c.getX1(), c.getY1(), c.getCtrlX1(), c.getCtrlY1(), c.getCtrlX2(), c.getCtrlY2(), c.getX2(), c.getY2());    } else { // straight-line segments        var l = (Segment) curve;        line(l.getX1(), l.getY1(), l.getX2(), l.getY2());    }}

Example

Processing Code...
import processing.javafx.*;import micycle.spliner.fitting.*;import micycle.spliner.geom.*;import java.util.ArrayList;import java.util.List;List<PVector> points;List<Line> curves;int fittingType = 0;void setup() {  size(800, 800, FX2D);  colorMode(HSB, 1, 1, 1);  populatePoints();  fit();}void draw() {  background(0, 0, 1);  int i = 0;  for (var curve : curves) {    stroke(color(i * (1f / curves.size()), 1, 1));    strokeWeight(10);    if (curve instanceof CubicCurve) {      var c = (CubicCurve) curve;      bezier(c.getX1(), c.getY1(), c.getCtrlX1(), c.getCtrlY1(), c.getCtrlX2(), c.getCtrlY2(), c.getX2(), c.getY2());      stroke(color(0.4, 1, 0.8));      strokeWeight(2);      line(c.getX1(), c.getY1(), c.getCtrlX1(), c.getCtrlY1()); // cp line      line(c.getX2(), c.getY2(), c.getCtrlX2(), c.getCtrlY2()); // cp line    } else { // straight-line segments      var l = (Segment) curve;      line(l.getX1(), l.getY1(), l.getX2(), l.getY2());    }    i++;  }}void fit() {  Fitting f = null;  switch (fittingType % 4) {  case 1 :    f = new BezierFitting();    break;  case 0 :    f = new LeastSquareFitting();    break;  case 2 :    f = new PolygonFitting();    break;  case 3 :    f = new SmoothFitting();    break;  }  curves = f.fitCurve(points);}void populatePoints() {  points = new ArrayList<>();  for (int x = 0; x < width; x+=20) {    points.add(new PVector(x, noise(x+frameCount) * height));  }}void mousePressed() { // click to fit a new point set  populatePoints();  fit();}void keyPressed() { // press to switch fitting algorithm  fittingType++;  fit();}

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