Discrete schemes for Gaussian curvature and their convergence

doi:10.1016/j.camwa.2009.01.024

	Discrete schemes for Gaussian curvature and their convergence
	Xu, Zhiqiang; Xu, Guoliang
	2009-04-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	57 期号:7 页码:1187-1195
摘要	The popular angular defect schemes for Gaussian curvature only converge at the regular vertex with valence 6. In this paper, we present a new discrete scheme for Gaussian curvature, which converges at the regular vertex with valence greater than 4. We show that it is impossible to build a discrete scheme for Gaussian curvature which converges at the regular vertex with valence 4 by a counterexample. We also study the convergence property of other discrete schemes for Gaussian curvature and compare their asymptotic errors by numerical experiments. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Discrete surfaces Gaussian curvature Discrete curvature Geometric modelling Angular defect schemes
DOI	10.1016/j.camwa.2009.01.024
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000265129000013
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8517
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Zhiqiang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci & Eng Comp, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, Zhiqiang,Xu, Guoliang. Discrete schemes for Gaussian curvature and their convergence[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2009,57(7):1187-1195.
APA	Xu, Zhiqiang,&Xu, Guoliang.(2009).Discrete schemes for Gaussian curvature and their convergence.COMPUTERS & MATHEMATICS WITH APPLICATIONS,57(7),1187-1195.
MLA	Xu, Zhiqiang,et al."Discrete schemes for Gaussian curvature and their convergence".COMPUTERS & MATHEMATICS WITH APPLICATIONS 57.7(2009):1187-1195.