三次样条插值函数的构造与Matlab实现.pdf

自动测量与控制 O. I. Automation 2006 25 11 Automatic Measurement and Control2006, Vol. 25, No. 11 100615762006 Matlab 1 1,2 1. 650031 2. 442700 1 Matlab Matlab O242.1 A Construction and Realization of Cubic Spline Interpolation Function 1 1, 2 XU Xiao-yong , ZHONG Tai-yong (1. School of Mathematics Computer Science, Yunnan Nationalities University, Kunming, 650031, China; 2. Dept. of Mathematics, Yunyang Teacher College, Danjiangkou 442700, China) Abstract: The boundary conditions of cubic spline were given by the practical state at the extreme points of discrete function. Taking the first boundary condition as an example, it used the second order derivative of the junctions to represent the cubic spline interpolation function, and solved the relative equations with chasing method. The universal procedure of cubic spline was realized under the environment of Matlab, which could compute the interpolation point and directly display the exact expression of function and segmental curve in each interval. Keywords: Cubic spline; Interpolation function; Matlab program 0 (2) (3) n 3(n2) 4n6 4(n1) 2 3 1 S(x ) y S(x ) y 1 1