中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1016/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
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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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