A general framework for surface modeling using geometric partial differential equations
文献类型：期刊论文
| 作者 | Xu, Guoliang1,2; Zhang, Qin2 |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 25期号:3页码:181-202 |
| 关键词 | surface modeling geometric PDEs triangular surface mesh |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2007.06.002 |
| 英文摘要 | In this paper, a general framework for surface modeling using geometric partial differential equations (PDEs) is presented. Starting with a general integral functional, we derive an Euler-Lagrange equation and then a geometric evolution equation (also known as geometric flow). This evolution equation is universal, containing several well-known geometric partial differential equations as its special cases, and is discretized under a uniform framework over surface meshes. The discretization of the equation involves approximations of curvatures and several geometric differential operators which are consistently discretized based on a quadratic fitting scheme. The proposed algorithm can be used to construct surfaces for geometric design as well as simulate the behaviors of various geometric PDEs. Comparative experiments show that the proposed approach can handle a large number of geometric PDEs and the numerical algorithm is efficient. (C) 2007 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254156900006 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6807]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Guoliang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Beijing 100085, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Guoliang,Zhang, Qin. A general framework for surface modeling using geometric partial differential equations[J]. COMPUTER AIDED GEOMETRIC DESIGN,2008,25(3):181-202. |
| APA | Xu, Guoliang,&Zhang, Qin.(2008).A general framework for surface modeling using geometric partial differential equations.COMPUTER AIDED GEOMETRIC DESIGN,25(3),181-202. |
| MLA | Xu, Guoliang,et al."A general framework for surface modeling using geometric partial differential equations".COMPUTER AIDED GEOMETRIC DESIGN 25.3(2008):181-202. |
入库方式： OAI收割
来源：数学与系统科学研究院
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