Interpolation of Catmull-Rom Spline - Java java.lang

Java examples for java.lang:Math Geometry Line

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Description

Interpolation of Catmull-Rom Spline

Demo Code

/*//from   w w w.j  a va2  s. c  o  m
 * Copyright 2012 Alex Usachev, thothbot@gmail.com
 * 
 * This file is part of Parallax project.
 * 
 * Parallax is free software: you can redistribute it and/or modify it 
 * under the terms of the Creative Commons Attribution 3.0 Unported License.
 * 
 * Parallax is distributed in the hope that it will be useful, but 
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 
 * or FITNESS FOR A PARTICULAR PURPOSE. See the Creative Commons Attribution 
 * 3.0 Unported License. for more details.
 * 
 * You should have received a copy of the the Creative Commons Attribution 
 * 3.0 Unported License along with Parallax. 
 * If not, see http://creativecommons.org/licenses/by/3.0/.
 */
//package com.java2s;

public class Main {
    /**
     * Interpolation of Catmull-Rom Spline
     * 
     * @param p0 the p0 Spline point.
     * @param p1 the p1 Spline point.
     * @param p2 the p2 Spline point.
     * @param p3 the p3 Spline point.
     * @param t the value in range <0.0, 1.0>. The t in the 
     *          function for a linear Bezier curve can be 
     *          thought of as describing how far B(t) is from p0 to p3.
     * 
     * @return the interpolated value. 
     */
    public static double interpolate(double p0, double p1, double p2,
            double p3, double t) {
        double v0 = (p2 - p0) * 0.5;
        double v1 = (p3 - p1) * 0.5;
        double t2 = t * t;
        double t3 = t * t2;

        return (2.0 * p1 - 2.0 * p2 + v0 + v1) * t3
                + (-3.0 * p1 + 3.0 * p2 - 2.0 * v0 - v1) * t2 + v0 * t + p1;
    }
}

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