Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (28): 72-74.DOI: 10.3778/j.issn.1002-8331.2009.28.021

• 研发、设计、测试 • Previous Articles     Next Articles

Mixed Coons patch with shape parameters

LI Yan,HAN Xu-li   

  1. School of Mathematics and Computing Technology,Central South University,Changsha 410083,China
  • Received:2009-03-27 Revised:2009-05-18 Online:2009-10-01 Published:2009-10-01
  • Contact: LI Yan

带形状参数的混合Coons类曲面

李 岩,韩旭里   

  1. 中南大学 数学科学与计算技术学院,长沙 410083
  • 通讯作者: 李 岩

Abstract: A class of new blending functions is presented and the characteristics of the blending functions are illustrated.Then a class of mixed class Coons patch with shape parameters is constructed.The constructed patch not only has the same superiority to bicubic Coons patch,but also can adjust its shape by changing the values of parameters.Specially,it can obtain optimal blending functions when the shape parameter is zero.Furthermore,it can accurately represent torus,ellipsoid and so on.

Key words: mixed class Coons patch, shape parameter, torus, ellipsoid

摘要: 给出了一组新的混合函数,并分析了该组函数的性质,在此基础上构造了一种带形状参数的混合Coons类曲面片。所构造的曲面不仅具有双三次Coons曲面片的性质,而且带有形状参数,可通过调控形状参数得到不同的曲面片。特别地,当形状参数取0时可得到优化的混合函数。另外,所得曲面还能精确表示圆环面、椭球面等二次曲面。

关键词: 混合Coons类曲面, 形状参数, 圆环面, 椭球面

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