| 带有边界条件的曲面插值蝴蝶细分算法 |
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| 引用本文： | 李爱获.带有边界条件的曲面插值蝴蝶细分算法[J].大连铁道学院学报,2004,25(1):1-3. |
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| 作者姓名： | 李爱获 |
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| 作者单位： | 大连铁道学院电气信息分院 辽宁大连116028 |
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| 摘 要： | 给出一种带有边界条件的曲面插值蝴蝶细分算法；边界条件可以是曲面的边界参数曲线或者曲面的边界参数曲线以及曲面在该边界曲线的法向量．进而分析了极限曲面的收敛性和光滑性．最后给出两个应用实例以及有关问题的讨论．
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| 关 键 词： | 边界条件 曲面插值蝴蝶细分算法 边界参数曲 收敛性 光滑性 |
Interpolatory Convexity Preserving Subdivition Schemes for Curves and Surfaces |
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| LI Ai-di.Interpolatory Convexity Preserving Subdivition Schemes for Curves and Surfaces[J].Journal of Dalian Railway Institute,2004,25(1):1-3. |
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| Authors: | LI Ai-di |
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| Abstract: | This paper is concerned with constructing butterfly subdivision scheme for surface satisfying boundary conditions.The interpolated boundary curves are arbitrary parametric curves or not only the boundary curves, but also the normal vector.The convergence and smooth analysis are presented.Numerical examples give evidence that these methods are effective. |
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| Keywords: | interpolation convexity preserving subdivision surve surface |
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