有理Bézier曲面的光滑拼接

Geometric Continuity for Rational Bézier Triangular Surfaces

本文考虑有理Bézier曲面片的光滑拼接问题,给出了有理Bézier三角曲面片的一阶与二阶几何连续的简明条件.同时还给出了有理Bézier三角曲面片与有理Bézier矩形曲面片的几何连续拼接算法.

In this article,the problems of geometric continuity for rational Bézier surfaces are dis- cussed.Concise conditions of first order and second order geometric continuity for rational triangular Bézier surfaces and betwecn rational triangular Bézier patches and rational rec- tangular Bézier patches are given.Mcanwhile,the transformation formulae between ra- tional triangular patches and rational rectangular patches are obtained.