用三角函数构造Coons曲面的控制函数

Constructing Trigonometric Blending Function of Coons Patches

摘要: 以三角函数基来构造控制函数,通过对比分别采用三角函数和多项式基控制函数生成的曲面的形状,分析了三角函数基控制函数的特点;并提出一个可用于求解基于任意基函数的控制函数的矩阵算法.

Abstract: Coons patches built on polynomial and trigonometric blending functions respectively are compared and the characteristics of trigonometric blending functions are illustrated.A matrix method for generating blending functions from arbitrary basis function is also presented.