| 基于参数分解的正则四边形插值细分曲面的快速求值 |
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| 引用本文： | 苏志勋,李宝军,刘秀平,王丰敏.基于参数分解的正则四边形插值细分曲面的快速求值[J].软件学报,2007,18(Z1):18-25. |
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| 作者姓名： | 苏志勋 李宝军 刘秀平 王丰敏 |
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| 作者单位： | 大连理工大学 应用数学系,辽宁 大连 116024; Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, USA;大连理工大学 应用数学系,辽宁 大连 116024;大连理工大学 应用数学系,辽宁 大连 116024;大连理工大学 应用数学系,辽宁 大连 116024 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No.60673006 (国家自然科学基金); the Program for New Century Excellent Talents in University of the Ministry of Education of China under Grant No.NCET-05-0275 (国家教育部新世纪优秀人才支持计划); the INBRE Grant (5P20RR01647206) from NIH, USA |
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| 摘 要： | 提出了两种正则四边形网格插值细分曲面的求值算法.算法基于参数m-进制分解和构造矩阵序列,通过参数分解数列对应的矩阵乘积得到基函数值,得到初始网格上对应控制点的权值,从而实现插值细分曲面求值.算法1 基于2D 细分掩模,算法2 基于张量积.数值实验表明,算法高效且低存储.
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| 关 键 词： | 插值细分格式 求值 矩阵序列 参数m-分解 张量积 |
| 收稿时间： | 2007/4/30 0:00:00 |
| 修稿时间： | 2007/11/23 0:00:00 |
Rapid Evaluation of Regular Quad-Mesh Interpolatory Subdivision Surfaces Based on Parametric Decomposition |
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| SU Zhi-Xun,LI Bao-Jun,LIU Xiu-Ping and WANG Feng-Min.Rapid Evaluation of Regular Quad-Mesh Interpolatory Subdivision Surfaces Based on Parametric Decomposition[J].Journal of Software,2007,18(Z1):18-25. |
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| Authors: | SU Zhi-Xun LI Bao-Jun LIU Xiu-Ping and WANG Feng-Min |
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| Abstract: | Two algorithms for evaluation of regular quad-mesh interpolatory subdivision surfaces are proposed.Algorithms are designed based on the parametric m-ary decomposition and construction of matrix sequence. The weights of the control points on the initial mesh can be obtained, through direct computation of the basic function values by multiplying the finite matrix sequence corresponding to the decomposition number sequence. Algorithm-I is based on 2D subdivision masks while the other is based on tensor-product. Numerical experiments show that the algorithms are efficient with low storage cost. |
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| Keywords: | interpolatory subdivision scheme evaluation matrix sequence parametric m-ary ecomposition tensor-product |
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