n次三角域Bézier曲面片GC^1拼接的对称条件

Symmetric GC' Condition for Triangular Bezier Surface Patches of Degreen

1.引言曲面造型是计算几何领域中一个重要的研究课题,在工程和制造中有着广泛的应用。Bezier曲面是当前曲面造型的重要方法之一,具有装配灵活,适应性强的优点。用矩形域和三角域Bezier曲面片混合造型,几乎可以构造任意形状的曲面。

In this paper, the open problem that given by Farin in 1982 is solved, asymmetric GC^1 condition for triangular Bezier surface patches of degree n is formulated.This condition has a straight forward geometric interpretation.