| Error estimate for Doo-Sabin surfaces |
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| 作者姓名： | WANG Huawei GUAN Youjiang QIN Kaihuai |
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| 作者单位： | Department of Computer Science and Technology,Department of Precision Instrument and Mechanics, Tsinghua University, Beijing 100084, China,Department of Computer Science and Technology |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant Nos. 59875047, 69873025) |
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| 摘 要： | Based on a general bound on the distance error between a uniform Doo-Sabin surface and its control polyhedron, an exponential error bound independent of the subdivision process is presented in this paper. Using the exponential bound, one can predict the depth of recursive subdivision of the Doo-Sabin surface within any user-specified error tolerance.
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| 关 键 词： | subdivision uniform Doo-Sabin surface error estimate |
Error estimate for Doo-Sabin surfaces |
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| WANG Huawei,GUAN Youjiang,QIN Kaihuai.Error estimate for Doo-Sabin surfaces[J].Progress in Natural Science,2002,12(9):695-700. |
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| Authors: | WANG Huawei GUAN Youjiang Qin Kaihuai |
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| Institution: | 1. Department of Computer Science and Technology
2. Department of Precision Instrument and Mechanics, Tsinghua University, Beijing 100084, China |
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| Abstract: | Based on a general bound on the distance error between a uniform Doo-Sabin surface and its control polyhedron, an exponential error bound independent of the subdivision process is presented in this paper. Using the exponential bound, one can predict the depth of recursive subdivision of the Doo-Sabin surface within any user-specified error tolerance. |
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| Keywords: | subdivision uniform Doo-Sabin surface error estimate |
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