双三次Coons曲面片的两种扩展  

Two kinds of extensions of bicubic Coons patch

作　　者：李军成[1] 杨炼[1] 李炳君[1] 

机构地区：[1]湖南人文科技学院数学系,湖南娄底417000

出　　处：《计算机应用研究》2011年第11期4389-4391,共3页Application Research of Computers

基　　金：湖南省教育厅科研资助项目(11C0707);湖南省自然科学基金资助项目(10JJ6015)

摘　　要：为解决传统双三次Coons曲面片在给定边界条件时其形状难以调整的不足,给出了一组带形状参数的Hermite基函数,并基于该基函数构造了一种带两个形状参数的Coons曲面片,称之为QC-Coons曲面片;然后通过对基函数重新参数化,构造了一种带两个形状参数的有理Coons曲面片,称之为RQC-Coons曲面片。结果表明,所构造的两种新曲面片都是双三次Coons曲面片的扩展,它们不仅具有双三次Coons曲面片的性质,而且还可通过调整形状参数的取值使得曲面的内部表现出不同的形状,为Coons曲面片的设计提供了两种新方法。The shape of traditional bicubic Coons patch would be hard to adjust when the boundary conditions are given.For solving this problem,this paper presented a class of Hermite basis functions with a shape parameter firstly.And established a kind of Coons patch with two shape parameters used the proposed basis functions,named QC-Coons patch.Then,constructed a kind of rational Coons patch with two shape parameters by reparametering the proposed basis functions,named RQC-Coons patch.Results show that the two generated patches are extensions of bicubic Coons patch,they not only inherit the most properties of double cubic Coons patch,but also can show different interior shapes by changing the values of shape parameters.The generated patches offer two new methods for designing the Coons patches.

关 键 词：COONS曲面片 Hermite基函数 形状参数 扩展 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]