| 三维曲面到球面的数值共形映射及球调和展开 |
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| 引用本文： | 刘华,陈小娥.三维曲面到球面的数值共形映射及球调和展开[J].天津工程师范学院学报,2007,17(1):1-4. |
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| 作者姓名： | 刘华 陈小娥 |
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| 作者单位： | 1. 天津工程师范学院,数理与信息科学系,天津,300222
2. 海南师范大学,数学系,海口,571158 |
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| 基金项目： | 国家自然科学基金;天津市应用基础研究项目;天津市教委资助项目 |
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| 摘 要： | 研究了亏格为零的紧致二维流形的识别问题。探讨了曲面到球面的共形映射的具体算法,给出了计算结果,并对共形映射进行调和展开,以实现三维曲面的识别、压缩和重构。
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| 关 键 词： | 黎曼面 亏格 共形映射 调和分析 |
| 文章编号： | 24351093 |
| 修稿时间： | 09 29 2006 12:00AM |
Conformal mappings from 3D surfaces to sphere |
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| LIU Hua,CHEN Xiao-e.Conformal mappings from 3D surfaces to sphere[J].Journal of Tianji University of Technology and Education,2007,17(1):1-4. |
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| Authors: | LIU Hua CHEN Xiao-e |
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| Institution: | 1. Department of Mathematics and Physics, Tianjin University of Technology and Education, Tianjin 300222, China; 2. Department of Mathematics, Hainan Normal University, Haikou 571158,China |
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| Abstract: | The identification of compact surfaces of genus-0 is discussed.First,the algorithm of the conformal mapping from the surface to sphere is given.Second,the harmonic expansion of the conformal mapping is computed to realize the identification,compression and reconstruction of 3D surface. |
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| Keywords: | Riemann surface genus conformal mapping harmonic analysis |
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