带形状参数的Coons类曲面的构造与拼接  

Structure and splice of Coons patched with shape parameters

作　　者：裴芳[1] 韩旭里[2] 李岩[2] 

机构地区：[1]山西财经大学应用数学学院,太原030006 [2]中南大学数学科学与计算技术学院,长沙410083

出　　处：《计算机工程与应用》2013年第10期163-166,263,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.10871208);湖南省自然科学基金(No.08JJ3009)

摘　　要：给出了一组带形状参数λ1、λ2的混合函数,分析了该组函数的性质。基于这组带形状参数的混合函数,构造了一种带形状参数的混合Coons类曲面片。所构造的曲面不仅保持了Coons曲面的良好边界插值性质,而且可通过调控形状参数来改变曲面的内部形状。讨论了带形状参数的混合Coons类曲面片光滑拼接的条件,通过实例说明了方法的实用性。A class of blending functions is presented and the characteristics of the blenging functions are illustrates. Based on this class of blending functions, a class of mixed Coons patches with shape parameters is constructed. The constructed patch not only keeps good properties of Coons surfaces, but also can adjust its shape by changing the values of parameters. Furthermore, the conditions of smooth splice of mixed class Coons patch are also discussed. The examples illustrate the effectiveness of giving method.

关 键 词：混合Coons类曲面 形状参数 光滑拼接 

分 类 号：O241.3[理学—计算数学]