Triangular surface mesh fairing via Gaussian curvature flow

doi:10.1016/j.cam.2005.03.094

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	Triangular surface mesh fairing via Gaussian curvature flow
	Zhao, Huanxi ; Xu, Guoliang
	2006-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	195 期号:1-2 页码:300-311
摘要	Surface mesh fairing by the mean curvature flow and its various modifications have become a popular topic. However, very few researches have been attempted on using the Gaussian curvature flow in surface fairing. The aim of this paper is to investigate such a problem. We find that Gaussian curvature flow can only be used to smooth convex meshes. Hence, it cannot be used to smooth noisy surface meshes because a noisy surface mesh is not convex. To overcome this difficulty, we design a new diffusion equation whose evolution direction depends on the mean curvature normal and the magnitude is a properly defined function of the Gaussian curvature. Experimental results show that the designed fairing scheme can effectively remove the noise and simultaneously preserve the sharp features, such as corners and edges. (c) 2005 Elsevier B.V. All rights reserved.
关键词	mesh smoothing Gaussian curvature flow feature preserving
DOI	10.1016/j.cam.2005.03.094
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000239258000027
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/3663
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Huanxi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Cent S Univ, Dept Math, Changsha 410083, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Huanxi,Xu, Guoliang. Triangular surface mesh fairing via Gaussian curvature flow[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,195(1-2):300-311.
APA	Zhao, Huanxi,&Xu, Guoliang.(2006).Triangular surface mesh fairing via Gaussian curvature flow.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,195(1-2),300-311.
MLA	Zhao, Huanxi,et al."Triangular surface mesh fairing via Gaussian curvature flow".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 195.1-2(2006):300-311.