| 基于周期B样条曲面的环状N边洞Gn连续性过渡 |
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| 引用本文： | 施侃乐,雍俊海,孙家广,Jean-Claude Paulxz.基于周期B样条曲面的环状N边洞Gn连续性过渡[J].中国科学：信息科学,2011(9):1112-1125. |
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| 作者姓名： | 施侃乐 雍俊海 孙家广 Jean-Claude Paulxz |
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| 作者单位： | 清华大学软件学院;清华大学计算机科学与技术系;信息系统安全教育部重点实验室;清华大学信息科学与技术国家重点实验室;Institu te National de Recherche en Informatique et en Automatique; |
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| 基金项目： | 国家自然科学基金(批准号:61035002,61063029); 中法NSFC-ANR共同资助合作研究项目(批准号:60911130368); 清华大学自主科研计划(批准号:2009THZ0)资助 |
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| 摘 要： | 环状N边洞经常产生于零件端部的大半径过渡或光滑填充操作中,现有的基于四边形分割或约束求解的方法对此难以得到法向或更高阶连续的过渡曲面.本文首先对环状N边洞的边界进行保持Gn连续的重新参数化,以确保相邻边界跨越切矢曲线在连接处的相容性.然后根据极点处的Gn连续充分条件和通过参数连续曲面延伸,分别得到周期B样条曲面的内外两...
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| 关 键 词： | 计算机辅助设计 周期B样条曲 面极坐标 N边洞填充 Gn连续 |
G~n filling orbicular N-sided holes using periodic B-spline surfaces |
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| SHI KanLe,,YONG JunHai,SUN JiaGuang, & Jean-Claude Paul, School of Software,Tsinghua University,Beijing ,China.G~n filling orbicular N-sided holes using periodic B-spline surfaces[J].Scientia Sinica Informationis,2011(9):1112-1125. |
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| Authors: | SHI KanLe YONG JunHai SUN JiaGuang & Jean-Claude Paul School of Software Tsinghua University Beijing China |
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| Affiliation: | SHI KanLe1,2,3,4,YONG JunHai~1,SUN JiaGuang~1,4 & Jean-Claude Paul~1,5 1 School of Software,Tsinghua University,Beijing 100084,China,2 Department of Computer Science and Technology,3 Key Laboratory for Information System Security,Ministry of Education of China,4 Tsinghua National Laboratory for Information Science and Technology,5 Institute National de Recherche en Informatique et en Automatique,France |
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| Abstract: | The orbicular N-sided hole filling problem is usually introduced by filleting an end-point of a part with large radius.The existing methods based on quadrilateral partition or constrained-optimization can rarely generate high-order continuous blending surfaces under these circumstances.This paper first reparameterizes the boundary of the specified orbicular N-sided hole to ensure the compatibility of neighboring cross-boundary derivatives on the connecting points,preserving their Gn continuity.Then we compu... |
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| Keywords: | CAD periodic B-spline surface polar coordinates N-sided hole filling Gn continuity |
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