摘要
本文讨论分段多项式的Ｃ２连续保形或保单调插值，在每相邻两个型值点之间，构造一段五次或五次以上的多项式，通过在某些段提高多项式次数，使得这个分段多项式插值函数Ｃ２连续且保形或保单调。
This paper discusses the problem of C2 continuous shape-preserving or monotonicity-preserving piecewise polynomials interpolant. A fifth or higher order polynomial piece is constructed between two consecutive data points. By increasing order of polynomial while needing in some intervals, the piecewise polynomials interpolating function is C2 continuous and shape-preserving or monotonicity-preserving.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
1996年第5期361-367,共7页
Journal of Computer-Aided Design & Computer Graphics
基金
国家杰出青年科学基金
浙江大学CAD&CG国家重点实验室开放课题的资助
关键词
插值
多项式
样条
保单调
保形
算法
interpolation
polynomial spline
monotonicity-preserving
shapepreserving.
