| B样条曲面GC1拼接中连接函数性质及其应用 |
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| 引用本文： | 赵乃良,任歆,马维银. B样条曲面GC1拼接中连接函数性质及其应用[J]. 计算机辅助设计与图形学学报, 2009, 21(8) |
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| 作者姓名： | 赵乃良 任歆 马维银 |
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| 作者单位： | 杭州电子科技大学图形图像研究所,杭州,310018;香港城市大学制造工程及工程管理学系,香港 |
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| 基金项目： | 浙江省钱江人才计划项目，香港城市大学战略研究项目 |
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| 摘 要： | 为了方便地实现B样条曲面建模,讨论了一般节点下2张B样条曲面G2连续条件中连接函数的性质,以及连接函数、本征方程和公共边界的相互约束关系.通过分析连接函数存内节点上的连续性质,提出了一种用B样条函数为连接甬数的B样条曲面G1连续拼接方法.最后以分段二次连接函数为例,实现了双三次B样条曲面的G1连续拼接.该方法由于采用了重节点,释放了公共边界的自由度,使得曲面拼接更为灵活.
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| 关 键 词： | B样条曲面 G1连续 本征方程 连接函数 |
Properties and Applications of Connecting Functions for GC~1-Connected B-Spline Surfaces |
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| Zhao Nailiang,Ren Xin,Ma Weiyin. Properties and Applications of Connecting Functions for GC~1-Connected B-Spline Surfaces[J]. Journal of Computer-Aided Design & Computer Graphics, 2009, 21(8) |
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| Authors: | Zhao Nailiang Ren Xin Ma Weiyin |
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| Affiliation: | Institute of Graphics and Image;Hangzhou Dianzi University;Hangzhou 310018;Department of Manufacturing Engineering & Engineering Management;City University of Hong Kong;Hong Kong |
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| Abstract: | In order to improve the convenience of surface modeling with B-spline surfaces,the properties of G1 continuity conditions are studied between two B-spline surfaces with arbitrary degrees,such as constraint conditions defined by the connecting functions,the intrinsic equations and the common boundary.By investigating the continuity property of connecting functions at interior knots,a new method is proposed for G1 connection of two B-spline surfaces by adopting B-spline functions as connecting functions.To de... |
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| Keywords: | B-spline surface G1 continuity intrinsic equation connecting function |
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