计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (21): 87-89.

• 学术探讨 • 上一篇    下一篇

QCT-Coons曲面片及其应用

李军成,宋来忠,张明望   

  1. 三峡大学 理学院,湖北 宜昌 443002
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-07-21 发布日期:2007-07-21
  • 通讯作者: 李军成

Expression and application of QCT-Coons patch

LI Jun-cheng,SONG Lai-zhong,ZHANG Ming-wang   

  1. College of Science,China Three Gorges University,Yichang,Hubei 443002,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-07-21 Published:2007-07-21
  • Contact: LI Jun-cheng

摘要: 从三角函数出发,构造了一种类三次三角多项式混合函数,简称为QCT-混合函数,然后在此基础上生成了一种类似于双三次Coons曲面片的三角多项式曲面片,并称之为QCT-Coons曲面片。事实表明,QCT-Coons曲面不仅具有双三次Coons曲面片的性质,而且还能精确地表示球面、圆环面、椭球面等二次曲面。

关键词: 三角函数, QCT-混合函数, QCT-Coons曲面片, 圆环面, 椭球面

Abstract: A kind of blending function is constructed based on trigonometric function,which is named QCT-Blending function.Then the method of generating QCT-Coons patch is discussed.QCT-Coons path has the same superiority to double cubic Coons path,furthermore it can accurately represent torus and ellipsoid.

Key words: trigonometric functions, QCT-Blending functions, QCT-Coons patch, torus, ellipsoid