| 两邻接B样条曲面的G1连续条件 |
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| 引用本文： | 车翔玖,梁学章. 两邻接B样条曲面的G1连续条件[J]. 应用数学, 2004, 17(3): 410-416 |
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| 作者姓名： | 车翔玖 梁学章 |
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| 作者单位： | 1. 吉林大学计算机科学与技术学院,长春,130012
2. 吉林大学数学研究所,长春,130012 |
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| 摘 要： | 本文得到了非均匀重内节点邻接B样条曲面间G1连续的充要条件 ,给出了一类G1连续的充分条件 ;基于对B样条曲线参数连续性的分析 ,本文着重给出了这类充分条件成立的内在约束 ,即对公共边界控制顶点的约束条件 .
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| 关 键 词： | B样条曲面 G1连续 约束条件 节点加细 节点消去 分段多项多函数 |
| 文章编号： | 1001-9847(2004)03-0410-07 |
| 修稿时间： | 2003-07-11 |
G1 Continuity Conditions of Two Adjacent B-spline Surfaces |
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| CHE Xiang-jiu,LIANG Xue-zhang. G1 Continuity Conditions of Two Adjacent B-spline Surfaces[J]. Mathematica Applicata, 2004, 17(3): 410-416 |
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| Authors: | CHE Xiang-jiu LIANG Xue-zhang |
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| Affiliation: | CHE Xiang-jiu1,LIANG Xue-zhang2 |
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| Abstract: | The necessary and sufficient conditions of G1 continuity between two non-uniform B-spline surfaces (duplicated interior knot) are obtained,and a kind of sufficient conditions of G1 continuity are presented.Morever we have discussed partically the intrinsic conditions under such sufficient conditions of G1 continuity,namely the constraint conditions for the control points of the common boundary. |
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| Keywords: | B-spline surface G1 continuity Constraint conditions Knot refinement Knot removal Piecewise polynomial function |
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