| B-样条曲面的保凸拼接 |
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| 引用本文： | 金席卷,姚杰,方逵.B-样条曲面的保凸拼接[J].微型机与应用,2011,30(23):51-53. |
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| 作者姓名： | 金席卷 姚杰 方逵 |
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| 作者单位： | 1. 长沙大学电子与通信工程系,湖南长沙,410003
2. 湖南农业大学信息科学技术学院,湖南长沙,410128 |
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| 摘 要： | 利用参数曲面局部凸的条件,导出了(准)均匀B-样条曲面局部凸的充分条件。证明了带有凸的平行四边形控制子网格的(准)均匀B-样条曲面片的凸的。给出了(准)均匀B-样条曲面保凸拼接的控制顶点算法,并给出了几个三次B-样条曲面保凸拼接实例。
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| 关 键 词： | B-样条曲面 平行四边形控制子网格 凸性 保凸拼接 |
Convexity preserving connection for B-spline surfaces |
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| Jin Xijuan,Yao Jie,Fang Kui.Convexity preserving connection for B-spline surfaces[J].Microcomputer & its Applications,2011,30(23):51-53. |
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| Authors: | Jin Xijuan Yao Jie Fang Kui |
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| Affiliation: | Jin Xijuan1,Yao Jie2,Fang Kui2(1.Department of Electronic and Communication,Changsha University,Changsha 410003,China,2.College of Information Science & Technology,Hunan Agricultural University,Changsha 410128,China) |
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| Abstract: | In this paper, based on the locally convex conditions of parametric surfaces, the sufficient conditions of locally convex uniform B-spline surfaces are derived. It proves that the uniform B-spline surfaces patches with the parallel quadrilateral control nets are the convex surfaces. The algorithms for convexity preserving connection for uniform B-spline surfaces are given. Finally, a few examples are given. |
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| Keywords: | B-spline surfaces parallel quadrilateral control nets convexity convexity preserving connection |
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