| Precise evaluation of uniform Doo-Sabin surfaces |
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| 作者姓名： | WANG Huawei QIN Kaihuai |
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| 作者单位： | Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China,Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China |
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| 基金项目： | Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20010003048), the National Natural Science Foundation of China (Grant No.60273013) and RGCUHK (4189/01) E |
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| 摘 要： | Using eigenanalysis of uniform Doo-Sabin subdivision surfaces, parameterization approaches for two types of Doo-Sabin subdivision surfaces are developed, and evaluation methods for values and derivatives of Doo-Sabin surfaces at arbitrary parameters are presented by means of non-iterative approaches. Generalized basis functions for Doo-Sabin surfaces are also derived. Thus, the prejudice is disproved further that subdivision surfaces cannot be evaluated precisely.
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| 关 键 词： | subdivision surfaces parameterization surface evaluation Doo-Sabin quadratic Catmull quadratic |
Precise evaluation of uniform Doo-Sabin surfaces |
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| WANG Huawei,QIN Kaihuai.Precise evaluation of uniform Doo-Sabin surfaces[J].Progress in Natural Science,2003,13(5):391-396. |
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| Authors: | WANG Huawei Qin Kaihuai |
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| Institution: | Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China |
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| Abstract: | Using eigenanalysis of uniform Doo-Sabin subdivision surfaces, parameterization approaches for two types of Doo-Sabin subdivision surfaces are developed, and evaluation methods for values and derivatives of Doo-Sabin surfaces at arbitrary parameters are presented by means of non-iterative approaches. Generalized basis functions for Doo-Sabin surfaces are also derived. Thus, the prejudice is disproved further that subdivision surfaces cannot be evaluated precisely. |
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| Keywords: | subdivision surfaces parameterization surface evaluation Doo-Sabin quadratic Catmull quadratic |
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