| 基于结点调整B-spline曲面G1/G2的光滑拼接 |
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| 引用本文： | 刘焕章,刘旭敏. 基于结点调整B-spline曲面G1/G2的光滑拼接[J]. 计算机工程与应用, 2007, 43(14): 60-63 |
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| 作者姓名： | 刘焕章 刘旭敏 |
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| 作者单位： | 首都师范大学,信息工程学院,北京,100037;首都师范大学,信息工程学院,北京,100037 |
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| 基金项目： | 北京市教委科技发展计划项目 , 北京市教委科技发展计划项目 |
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| 摘 要： | 文中提出了一种构造具有简单结点的B样条曲面G1/G2光滑拼接的方法。本方法根据B样条曲面达到拼接的条件，经过对原曲面和待拼接曲面的偏导曲线进行离散化处理和结点调整,将其转化为Bézier的表示方式。根据Bézier的拼接条件，获得B样条曲面间控制点的关系。最终实现B样条曲面G1/G2的光滑拼接。
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| 关 键 词： | B样条曲面 G1/G2拼接 结点调整 离散B样条 |
| 文章编号： | 1002-8331（2007）14-0060-04 |
| 收稿时间： | 2006-06-13 |
| 修稿时间： | 2006-10-01 |
A construction of G1/G2 smooth B-spline surfaces |
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| LIU Huan-zhang,LIU Xu-min. A construction of G1/G2 smooth B-spline surfaces[J]. Computer Engineering and Applications, 2007, 43(14): 60-63 |
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| Authors: | LIU Huan-zhang LIU Xu-min |
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| Affiliation: | College of Information Engineering,Capita/ Normal University,Beijing 100037,China |
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| Abstract: | The motivation of this paper is to develop a scheme of constructing G1/G2 smooth B-spline surfaces with single knots.According to the continuity conditions between the B-spline curves, these derivative curves of the two surfaces are transformed into some Bézier curves by discreting and knot-refining.Depending on the continuity conditions between the Bézier surfaces,we obtain the relation of the control points which belong to the two B-spline surfaces. At last the G1/G2 smooth B-spline surfaces are realized. |
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| Keywords: | B-spline surface G1/G2 smooth knot refinement discrete B-spline |
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