三角域上有理Bézier曲面的曲率连续拼接  

Curvature continuous connection between rational Bézier patches over triangle

作　　者：郑建民[1] 

机构地区：[1]浙江大学应用数学系

出　　处：《浙江大学学报（自然科学版）》1993年第5期621-633,共13页

基　　金：浙江省自然科学基金

摘　　要：本文证明了三角域上有理参数曲面或有理Bézier曲面间曲率连续的充要条件。导出了一些简单的充分条件。对于有理Bézier曲面,这些条件被转化成相应的控制顶点之间的关系,并由此给出了曲率连续拼接曲面的构造。The necessary and sufficient conditions of curvature co uity between two triangular rational parametric surfaces or rational Bezier surfaces are derived, and some sufficient conditions are developed. For rational Bazier patches, these conditions are converted into the constraints on the involved control points and weights, thereby the construction of GC2 connecting surfaces is presented.

关 键 词：有理曲面 BEZIER曲面 曲率 

分 类 号：O182.1[理学—数学]