摘要
６０年代以来，样条函数特别是Ｂ样条函数的理论有了很大发展，已经成为计算机辅助几何设计（ＣＡＧＤ）工作中的主要数学工具。在利用Ｂ样条函数构造插值曲线时，往往需要求解高阶线性方程组，给计算带来了一定困难。本文针对这一问题提出了一种快速算法，避免了对方程组的直接求解，从而简化了Ｂ样条插值曲线的计算。
The theory of spline function especially B spline function has been greatly developed sinee 1960s,It has become one of the main mathematical tools in the Computer Aided Geometry De- sign(CAGD).The solving of sets of high order linear algebraic equations is needed when B spline function is used in the interpolation of curve fitting.This makes some difficulties in the fast computa- tion of B spline interpolation,Afast computation method avoiding direct solving of linear equations isgiven in this paper.
出处
《系统工程与电子技术》
EI
CSCD
1995年第12期44-52,共9页
Systems Engineering and Electronics
