| 基于二维环运算的参数曲面的裁剪方法 |
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| 引用本文： | 范彦斌,沈庆云,沈自林. 基于二维环运算的参数曲面的裁剪方法[J]. 西北大学学报(自然科学版), 2000, 30(3): 209-213 |
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| 作者姓名： | 范彦斌 沈庆云 沈自林 |
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| 作者单位： | 佛山大学工学院!广东佛山528000 |
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| 基金项目： | 广东省自然科学基金资助项目!(950724) |
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| 摘 要： | 基于参数曲面建立了从二维参数域到三维空间的映射关系和参数曲面的裁剪 ,就是保持原映射关系不变 ,而仅改变曲面的有效参数域等情况 ,通过对参数曲面上两个相交的环给出严格的并、交、差等基本运算的定义 ,以及设计了一套相应的稳定、可靠的算法 ,把三维空间的问题转化为二维空间问题 ,从而很好地解决了参数曲面的裁剪问题
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| 关 键 词： | 计算机辅助设计 几何造型 参数曲面 |
An algorithm for trimming of parametric surface based-on operation of two-dimensional loops |
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| FAN Yan-bin,SHEN Qing-yun,SHEN Zi-lin. An algorithm for trimming of parametric surface based-on operation of two-dimensional loops[J]. Journal of Northwest University(Natural Science Edition), 2000, 30(3): 209-213 |
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| Authors: | FAN Yan-bin SHEN Qing-yun SHEN Zi-lin |
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| Abstract: | Since a parametric surface is defined by a mapping from 2 D parametric space to 3 D space ,trimming of a parametric surface is equivalent to changing only the valid parameter region of the surface with the same mapping.By presenting a strict and comprehensible definition of union,difference and intersection of two intersecting loops in the parametric region of a parametric surface, and designing a set of stable and robust corresponding algorithm, the 3 D problem is converted into 2 D one, hence perfectly realize the trimming of parametric surface. |
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| Keywords: | computer aided design geometric modelling parametric surface |
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