Here you can find the source of interpolate(double p0, double p1, double p2, double p3, double t)
| Parameter | Description |
|---|---|
| p0 | the p0 Spline point. |
| p1 | the p1 Spline point. |
| p2 | the p2 Spline point. |
| p3 | the p3 Spline point. |
| 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. |
public static double interpolate(double p0, double p1, double p2, double p3, double t)
//package com.java2s; /*/*w ww . jav a 2 s . co 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/. */ 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; } }