双三次B样条曲面的G^1连续条件  

G^1Continuity Conditions of Bicubic B- Spline Surfaces

作　　者：施锡泉[1] 赵岩[1] 

机构地区：[1]大连理工大学应用数学系,大连116024

出　　处：《计算机辅助设计与图形学学报》2002年第7期676-682,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金 (19990 14 115 );国家"九七三"重点基础研究发展规划项目 (G19980 3 0 60 0 7);教育部博士点基金;教育部优秀青年教师基金 (60 0 73 0 3 8)的部分资助

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 .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.

关 键 词：双三次B样条曲面 G^1连续条件 几何连续性 CAD CAM 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]