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两邻接二次B样条曲面G1光滑拼接的充分条件
引用本文:程少华.两邻接二次B样条曲面G1光滑拼接的充分条件[J].郑州大学学报(理学版),2006,38(1):33-36.
作者姓名:程少华
作者单位:郑州航空工业管理学院数理系,郑州,450015
基金项目:河南省教育厅自然科学基金项目,编号200510485012
摘    要:利用二次B样条曲面的矩阵表达式,将B样条曲面进行分片表示,给出了两邻接二次B样条曲面间的G1光滑拼接的充分条件.该拼接算法易于实现,在CAGD的复杂曲面造型中,具有一定的实用价值.

关 键 词:B样条  G1连续  曲面
文章编号:1671-6841(2006)01-0033-04
收稿时间:11 20 2005 12:00AM
修稿时间:2005年11月20

Sufficient Condition of G1 Continuity Between Two Patches of Adjacent Quadric B Spline Surface
CHENG Shao-hua.Sufficient Condition of G1 Continuity Between Two Patches of Adjacent Quadric B Spline Surface[J].Journal of Zhengzhou University:Natural Science Edition,2006,38(1):33-36.
Authors:CHENG Shao-hua
Institution:Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industrial Management, Zheng zhou 450015, China
Abstract:According to the matrix representation of quadric B spline surface,a sufficient condition of G~1 continuity between two patches of adjacent quadric B spline surface has been provided.This assembling algorithm can be easily realized and has certain application worth for complicated surface construction in CAGD.
Keywords:B spline  G~1 continuity  surface
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