There is a Java Swing shape generator for this called Quad2dCurve. The getPathIterator
call gives you an enumerator for points on the curve.
Here is some example code:
import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;
import java.util.Random;
import javax.swing.*;
final class TestCanvas extends JComponent {
int size = 200;
int n = 10;
float[] ph = new float[n];
float[] pw = new float[n];
float[] px = new float[n];
Random gen = new Random();
TestCanvas() {
makeRandomParabolas();
setFocusable(true);
addKeyListener(new KeyAdapter() {
@Override
public void keyPressed(KeyEvent e) {
makeRandomParabolas();
repaint();
float [] coords = new float [6];
for (int i = 0; i < n; i++) {
PathIterator pi = getQuadCurve(i).getPathIterator(null, 0.1);
System.out.print(i + ":");
while (!pi.isDone()) {
switch (pi.currentSegment(coords)) {
case PathIterator.SEG_MOVETO:
System.out.print(" move to");
break;
case PathIterator.SEG_LINETO:
System.out.print(" line to");
break;
default:
System.out.print(" unexpected");
break;
}
System.out.println(" (" + coords[0] + "," + coords[1]+")");
pi.next();
}
System.out.println();
}
}
});
}
QuadCurve2D.Float getQuadCurve(int i) {
return new QuadCurve2D.Float(px[i] - pw[i], size,
px[i], size - (2 * ph[i]),
px[i] + pw[i], size);
}
void makeRandomParabolas() {
for (int i = 0; i < n; i++) {
float x = 0.2f + 0.6f * gen.nextFloat();
px[i] = size * x;
pw[i] = size * (Math.min(x, 1 - x) * gen.nextFloat());
ph[i] = size * (0.5f + 0.5f * gen.nextFloat());
}
}
@Override
protected void paintComponent(Graphics g0) {
Graphics2D g = (Graphics2D) g0;
for (int i = 0; i < n; i++) {
g.draw(getQuadCurve(i));
}
}
}
public class Main extends JFrame {
public Main() {
setLocationRelativeTo(null);
setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
getContentPane().add(new TestCanvas());
getContentPane().setPreferredSize(new Dimension(200, 200));
pack();
}
public static void main(String[] args) {
SwingUtilities.invokeLater(new Runnable() {
@Override
public void run() {
new Main().setVisible(true);
}
});
}
}