三角域上C^1连续的C-Coons曲面片  

C^1-continuous C-type Coons patches on triangles

作　　者：吴晓勤[1,2] 韩旭里[2] 罗善明[3] 王军昌[4] 

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201 [2]中南大学数学科学与计算技术学院,长沙410083 [3]湖南科技大学机电工程学院,湖南湘潭411201 [4]河南商丘师范学院数学系,河南商丘476000

出　　处：《计算机应用研究》2009年第4期1538-1540,共3页Application Research of Computers

基　　金：国家自然科学基金资助项目(50575071;10871208);湖南省杰出青年基金资助项目(06JJ10008);湖南省教育厅科研资助项目(08B027)

摘　　要：在三角形域上利用两类C-Herm ite多项式构造C1连续的两种形式的C-Coons曲面片,构造的三角曲面片均含有形状参数α,调整α的值,可改变曲面的内部形状,而不影响曲面的边界形状;当形状参数α趋于0时,可退化为通常的边—边与边—点方法插值的曲面片。最后,通过例子比较显示了该方法的实际效果。This paper constructed two kinds of C-Coons patches with C1 -continuity by two classes of C-Hermite polynomial functions on triangles. Triangular C-Coons patches presented extensions of the side-side method and side-vertex method, because these shapes depended on shape parameter a and changing the value of α, it could adjust the interior shape of the pat- ches, but didn＇t influence the boundary shape of the patches. When the limiting case for α→0, constructed patches were the triangular Coons patches. At last, examples illustrate the method of constructing surface is very useful for surface design.

关 键 词：三角曲面片 C-Hermite多项式 形状参数 边-边法 边-点法 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]