| Catmull-Clark细分曲面等距面生成算法 |
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| 引用本文： | 原恩桃,邵兵,于忠海.Catmull-Clark细分曲面等距面生成算法[J].上海电机学院学报,2011,14(1):11-16. |
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| 作者姓名： | 原恩桃 邵兵 于忠海 |
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| 作者单位： | 上海电机学院,机械学院,上海,200245 |
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| 基金项目： | 国家高技术研究发展计划(863)项目资助(2007AA041600); 上海市教育委员会重点学科资助(J51902) |
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| 摘 要： | 针对带边界的Catmull-Clar细分曲面,根据内部顶点极限位置计算方法,给出了边界顶点极限点及法矢量的计算公式。利用控制网格顶点与其在细分曲面上位置的对应关系,将细分曲面的等距转化为解线性方程组的求解,并采用改进的基于四边形网格的Jacobi迭代法解线性方程组,得到等距后的控制网格。实例表明:采用该算法可以快速高效地生成细分曲面的等距面。
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| 关 键 词： | 等距 Catmull-Clark细分曲面 边界 |
Offset Algorithm of Catmull- Clark Subdivision Surface |
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| YUAN Entao,SHAO Bing,YU Zhonghai.Offset Algorithm of Catmull- Clark Subdivision Surface[J].JOurnal of Shanghai Dianji University,2011,14(1):11-16. |
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| Authors: | YUAN Entao SHAO Bing YU Zhonghai |
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| Affiliation: | YUAN Entao,SHAO Bing,YU Zhonghai(School of Mechanical,Shanghai Dianji University,Shanghai 200245,China) |
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| Abstract: | For Catmull-Clark subdivision surface with boundary,this paper gives computation formula for limiting point and its corresponding normal vector of boundary vertex.The main problem is to convert the offset problem to a problem for solving linear equation system using the corresponding relation of the vertex in control mesh and its limiting position.An improved Jacobi iteration method based on quadrangle mesh is used to solve the system of linear equations.Examples show that this method can generate offset su... |
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| Keywords: | offset Catmull-Clark subdivision surface boundary |
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