一类带形状参数的混合Coons曲面及其性质

A New Type of Coons Patch with Shape Paramerters and Its Properties

为拓宽Coons曲面的应用范围,文章在三角混合函数空间给出一组带形状参数λ的混合函数,并分析该混合基函数的性质.基于此混合基函数,构造一种带形状参数的混合Coons曲面片,该曲面片的优点在于不仅具有传统Coons曲面的良好性质,而且具有形状可调性.给出数值实例,说明其形状可调.

In order to widen the application of Coons patch,in this paper we provide a class of blending basis functions called HC-blending basis function,and analyse the properties of HC-blending basis function. Based on the HC-blending basis functions,we construct HC-Coons patch with shape parameters.The HCCoons patch not only has the same superiority to bi-cubic Coons patch,but also can adjust its shape by parameters.So we can achieve the goal of adjusting its shape.