| 均匀B样条曲线(段)曲面(片)的非均匀细分算法 |
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| 引用本文： | 蒋玉明.均匀B样条曲线(段)曲面(片)的非均匀细分算法[J].四川大学学报(工程科学版),1991(5). |
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| 作者姓名： | 蒋玉明 |
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| 作者单位： | 成都科技大学金属材料系 |
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| 摘 要： | 本文推导了在分段矩阵表示下的三次均匀 B 样条曲线段的非均匀细分变换的通用公式,其结果发展了 J.M.Lane、R.F.Riesenfeld(1980)和施法中(1988)从不同角度提出的均匀 B 样条曲线段的对分原理,具有更广泛的通用性。依据公式,本文给出了三次均匀 B 样条曲线、曲面的细分算法,在计算机辅助几何设计和计算机图形中学具有广泛的实用价值。
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| 关 键 词： | 计算机辅助几何设计 计算机图形学 B 样条 细分 算法 |
The Two Algorithms for Splitting Non-uniformly the Uniform B-Spline Curve Segment and Surface Patch |
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| Jiang Yuming.The Two Algorithms for Splitting Non-uniformly the Uniform B-Spline Curve Segment and Surface Patch[J].Journal of Sichuan University (Engineering Science Edition),1991(5). |
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| Authors: | Jiang Yuming |
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| Affiliation: | Jiang Yuming |
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| Abstract: | This paper presents the general transforming matrix between new vertices and old vertices for splitting non-uniformly the B-Spline curve segment.The result obtained in this paper extends and improves the subdivision principle presented by Lane,J.M.and Riesenfeld,R.F.in 1980,and by Shi Fazhong in 1988 in different forms,and has a wide generality.Accordlng to the general formulae, this paper presents the two algorithms for splitting non-uniformly the uniform B-Spline curve segment and surface patch.They have a widespread practical vaiue in computer aided geometric design and computer graphics |
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| Keywords: | computer aided geometric design computer graphics B-Spline subdivision algorithm |
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