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G~1 Continuity Conditions of B-spline Surfaces
引用本文:车翔玖,梁学章. G~1 Continuity Conditions of B-spline Surfaces[J]. 东北数学, 2002, 0(4)
作者姓名:车翔玖  梁学章
作者单位:Institute of Mathematics,Jilin University,Changchun,130012; Dept. of Math.,Normal. Sci. College,Beihua Univ.,Jilin City,Jilin,132013
摘    要:According to the B-spline theory and Boehm algorithm, this paper presents several necessary and sufficient G1 continuity conditions between two adjacent B-spline surfaces. In order to meet the need of application, a kind of sufficient conditions of G1 continuity are developed, and a kind of sufficient conditions of G1 continuity among N(N > 2) patch B-spline surfaces meeting at a common corner are given at the end.


G~1 Continuity Conditions of B-spline Surfaces
CHE Xiangjiu and LIANG Xuezhang. G~1 Continuity Conditions of B-spline Surfaces[J]. Northeastern Mathematical Journal, 2002, 0(4)
Authors:CHE Xiangjiu and LIANG Xuezhang
Abstract:According to the B-spline theory and Boehm algorithm, this paper presents several necessary and sufficient G1 continuity conditions between two adjacent B-spline surfaces. In order to meet the need of application, a kind of sufficient conditions of G1 continuity are developed, and a kind of sufficient conditions of G1 continuity among N(N>2) patch B-spline surfaces meeting at a common corner are given at the end.
Keywords:B-spline surface   composite Bezier surface   G1 continuity   Boehm algorithm
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