【摘要】 讨论并得到关于两个双三次非均匀内部单节点 B样条曲面片 G1连续的充分必要条件 ,以及在公共边界线上控制向量的本征条件 .这些条件直接由两个非均匀 B样条曲面的控制向量表示 .并证明了用单节点双三次非均匀B样条不能构造出具有局部性质的曲面模型更多还原

【Abstract】 The necessary and sufficient conditions of G1 continuity between two bicubic non- uniform B- spline surface patches are obtained,and the instinct conditions of the control vertices of the com mon boundary curve are presented.These conditions are directly represented by the control vertices of the two non- uniform B- spline patches.Meanwhile,som e rem arkable difference on the conditions of G1 continuity between two adjacent Bézier patches in comparison with that between two adjacent non- uniform B- spline patches are studied.更多还原