Ridge extraction of a smooth 2-manifold surface based on vector field

	Ridge extraction of a smooth 2-manifold surface based on vector field
	Che, WuJun1 ; Zhang, XiaoPeng1 ; Zhang, Yi-Kuan 1; Paul, Jean-Claud 2,3; Xu, Bo1
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
	2011-05-01
卷号	28 期号:4 页码:215-232
文章类型	Article
摘要	This paper presents a general scheme to compute ridges on a smooth 2-manifold surface from the standpoint of a vector field. A ridge field is introduced. Starting with an initial ridge, which may or may not be umbilical, a ridge line is then traced by calculating an associated integral curve of this field in conjunction with a new projection procedure to prevent it from diverging. This projection is the first that can optimize a ridge guess to lie on a ridge line uniquely and accurately. In order to follow this scheme, we not only develop practical ridge formulae but also address their corresponding computational procedures for an analytical surface patch, especially for an implicit surface. In contrast to other existing methods, our new approach is mathematically sound and characterized by considering the full geometric structures and topological patterns of ridges on a generic smooth surface. The resulting ridges are accurate in the numerical sense and meet the requirement of high accuracy with complete topology. Although the objective of this paper is to develop a mathematically sound framework for ridges on a smooth surface, we give a comprehensive review of relevant works on both meshes and smooth surfaces for readers. (C) 2011 Elsevier B.V. All rights reserved.
关键词	Implicit Surface Invariant Feature Line Of Curvature Parametric Surface Principal Curvature Principal Direction Ridge Umbilical Point Vector Field
WOS标题词	Science & Technology ; Technology ; Physical Sciences
关键词[WOS]	CREST LINES ; 3D ; CURVATURE ; FEATURES ; POINTS
收录类别	SCI
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:000291180700001
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/2812
专题	多模态人工智能系统全国重点实验室_多媒体计算数字内容技术与服务研究中心
作者单位	1.CAS, LIAMA NLPR Digital Content Technol Res Ctr, Inst Automat, Beijing 100190, Peoples R China 2.Tsinghua Univ, Sch Software, Beijing 100084, Peoples R China 3.INRIA, Paris, France
第一作者单位	模式识别国家重点实验室
推荐引用方式 GB/T 7714	Che, WuJun,Zhang, XiaoPeng,Zhang, Yi-Kuan,et al. Ridge extraction of a smooth 2-manifold surface based on vector field[J]. COMPUTER AIDED GEOMETRIC DESIGN,2011,28(4):215-232.
APA	Che, WuJun,Zhang, XiaoPeng,Zhang, Yi-Kuan,Paul, Jean-Claud,&Xu, Bo.(2011).Ridge extraction of a smooth 2-manifold surface based on vector field.COMPUTER AIDED GEOMETRIC DESIGN,28(4),215-232.
MLA	Che, WuJun,et al."Ridge extraction of a smooth 2-manifold surface based on vector field".COMPUTER AIDED GEOMETRIC DESIGN 28.4(2011):215-232.

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