基于控制顶点的Bezier曲面交线算法

The intersection of Bezier surfaces based on the control vertexes

Bezier曲面求交问题是CAGD的核心问题之一。利用Bezier曲面片的控制顶点构造可展直纹面片,将Bezier曲面的求交问题转化为可展直纹面的求交问题,从而获得一种简单快捷的求交算法。

The intersection of Bezier surfaces is one of the primary aspects in Computer Aided Geometric Design （CAGD）. An easy and shortcut alogorithm is presented that computes the intersection curve of Bezier surfaces. The developable ruled surfaces with the control vertexes of Bezier surfaces and transform the intersection of Bezier surfaces into the intersection of developable ruled surfaces are obtained.