摘要
过渡曲面在 CAD/ CAM中具有十分重要的作用 .其构造与几何连续性、几何不变量密切相关 .本文通过对几何不变量法曲率、测地挠率和几何连续关系的推导 ,得到构造 G3几何连续过渡曲面的充分条件 .结合连接线定理 ,用超限插值法解决了两个参数曲面间
Blending surface has plays an important role in CAD/CAM.A method for blending two parametric surfaces is introduced, and a relation between norm curvature and geodesic torsion with a G 3-continuity has been presented. The method described here can achieve G 3-continuity transition between the given surfaces.
出处
《纯粹数学与应用数学》
CSCD
2003年第1期41-44,共4页
Pure and Applied Mathematics
基金
陕西省自然科学基金资助项目 [99CS0 1 0 1 ].
关键词
G^3连续
过渡曲面
超限插值
测地挠率
G 3-continuity,Blending surface,Transfinite interpolation,Geodesic torsion
