Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces

doi:10.1016/j.cagd.2005.07.002

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	Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
	Xu, GL
	2006-02-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	23 期号:2 页码:193-207
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.
关键词	Gaussian curvature surface triangulation convergence parallelogram criterion
DOI	10.1016/j.cagd.2005.07.002
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000234338200007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3903
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.