Interpolates between three points defining a Bezier curve. - Java java.lang

Java examples for java.lang:Math Curve

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Description

Interpolates between three points defining a Bezier curve.

Demo Code


//package com.java2s;

import java.awt.geom.Point2D;

public class Main {
    /**/*from w w  w  .  j a v a 2s  . co  m*/
     * Interpolates between three points defining a B?zier curve.
     * 
     * @param a The start point.
     * @param b The control point.
     * @param c The end point.
     * @param t The interpolation progress starting at 0 and going to 1.
     * @return The interpolated point. Note that the movement speed of the point
     *         is not uniform.
     */
    public static Point2D interpolateBezier(final Point2D a,
            final Point2D b, final Point2D c, final double t) {
        // (a - 2b + c) t^2 + (-a + b) 2t + a
        final double tsq = t * t;
        final double t2 = 2 * t;
        final double a0 = a.getX();
        final double b0 = b.getX();
        final double x = tsq * (a0 - 2 * b0 + c.getX()) + t2 * (b0 - a0)
                + a0;
        final double a1 = a.getY();
        final double b1 = b.getY();
        final double y = tsq * (a1 - 2 * b1 + c.getY()) + t2 * (b1 - a1)
                + a1;
        return new Point2D.Double(x, y);
    }
}

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