Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
文献类型：期刊论文
| 作者 | Xu, GL |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2006-02-01 |
| 卷号 | 23期号:2页码:193-207 |
| 关键词 | Gaussian curvature surface triangulation convergence parallelogram criterion |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2005.07.002 |
| 英文摘要 | In this paper, we study the convergence property of a well known discretized scheme for approximating Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface. Suppose the triangulation is obtained from a sampling of a smooth parametric surface, we show theoretically that the approximation has quadratic convergence rate if the surface sampling satisfies the so-called parallelogram criterion. Numerical results which justify the theoretical analysis are also presented. (c) 2005 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000234338200007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3902]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, GL |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GL. Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces[J]. COMPUTER AIDED GEOMETRIC DESIGN,2006,23(2):193-207. |
| APA | Xu, GL.(2006).Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces.COMPUTER AIDED GEOMETRIC DESIGN,23(2),193-207. |
| MLA | Xu, GL."Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces".COMPUTER AIDED GEOMETRIC DESIGN 23.2(2006):193-207. |
入库方式： OAI收割
来源：数学与系统科学研究院
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