两邻接NURBS曲面间的G2连续条件

两邻接NURBS曲面间的G2连续条件

车翔玖^1,2, 梁学章¹

(1. 吉林大学数学研究所, 长春 130023; 2. 北华大学师范理学院数学系, 吉林 132013)

收稿日期:2001-05-04 修回日期:1900-01-01 出版日期:2002-01-26 发布日期:2002-01-26
通讯作者: 车翔玖

G2 Continuity Conditions Between Two Patchesof Adjacent NURBS Surfaces

CHE Xiang-jiu车翔玖^1,2, LIANG Xue-zhang¹

(1. Institute of Mathematics, Jilin University, Changchun 130023, P.R.China;2. Department of Mathematics, Normal Science College, Beihua University, Jilin 132013, P.R.China)

Received:2001-05-04 Revised:1900-01-01 Online:2002-01-26 Published:2002-01-26
Contact: CHE Xiang-jiu

摘要/Abstract

摘要： 依据B样条理论, 研究两张特殊NURBS曲面即双三次均匀有理B样条曲面间G²光滑拼接的充要条件, 且给出G⁰光滑拼接的充要条件及G²光滑拼接的一个充分条件

关键词: NURBS曲面, 均匀B样条基函数, G²连续性, 充要条件

Abstract: According to the theory of B-spline, the G2 coti nuity conditions between two patches of special NURBS surfaces, namely bicubi c uniform rational B-spline surfaces have been discussed, meanwhile, the suffic ient and necessary conditions of G⁰ are given in this paper, in order to satisfy the need of application, a special kind of sufficient conditions of G² continuity have been provided in the end.

Key words: NURBS surface, uniform B-spline basis function, G² continuity, sufficient and necessary conditions

中图分类号:

O241.5

车翔玖, 梁学章. 两邻接NURBS曲面间的G2连续条件[J]. J4, 2002, 40(01): 19-23.

CHE Xiang-jiu车翔玖, LIANG Xue-zhang. G2 Continuity Conditions Between Two Patchesof Adjacent NURBS Surfaces[J]. J4, 2002, 40(01): 19-23.

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