保凸插值样条曲线的一种构造方法

A Construction Method of Convexity Preserving Interpolation Spline Curves

本文提出了一种描述保凸三次参数插值曲线的新算法。算法构造局部、计算简单有效,算法对开曲线和闭曲线都适合,最后给出了几个曲线构造的例子。

A new algorithm of(C^2-Continuous)convexity preserving cubic parametric interpolationcurves is derived.the construction of the algorithm is local,The calculation involved is simple andefficient.The algorithm is also approriate for both closed curves and open curves.Finally a fewexamples of curve construction are given.