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• 计算机辅助几何设计 • 上一篇    下一篇

三角域上C1连续的H-Coons曲面片

  

  • 出版日期:2010-04-30 发布日期:2015-08-11

C1-Continuous H-Type Coons Patches on Triangles

  • Online:2010-04-30 Published:2015-08-11

摘要: 在三角形域上利用两类H-Hermite多项式构造C1连续的两种形式的H-Coons曲面片。构造的三角曲面片均含有形状参数

,调整

的值,可改变曲面的内部形状,而不影响曲面的边界形状。当
0
时,可退化为通常的边-边与边-点方法插值的曲面片。最后,通过实例显示了该文方法的实际效果。

关键词: 计算机应用, 三角曲面片, H-Hermite多项式, 形状参数

Abstract: Two kinds of H-Coons patches with C1-continuity are constructed by two classes of H-Hermite polynomial functions on triangles. Triangular H-Coons patches present extensions of the Side-Side method and Side-Vertex method. These shapes depend on shape parameter
and the limiting case for  0are the triangular Coons patches. Changing the value of , the interior shape of the patches can be adjusted, but it don’t influence the boundary shape of the patches. The examples show that this method for constructing surface is effective.

Key words: computer application, triangular patches, H-Hermite polynomial, shape parameter