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

文献类型：期刊论文

作者Che, WuJun1; Zhang, XiaoPeng1; Zhang, Yi-Kuan1; Paul, Jean-Claud2,3; Xu, Bo1
刊名COMPUTER AIDED GEOMETRIC DESIGN
出版日期2011-05-01
卷号28期号:4页码:215-232
关键词Implicit surface Invariant feature Line of curvature Parametric surface Principal curvature Principal direction Ridge Umbilical point Vector field
英文摘要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.
WOS标题词Science & Technology ; Technology ; Physical Sciences
类目[WOS]Computer Science, Software Engineering ; Mathematics, Applied
研究领域[WOS]Computer Science ; Mathematics
关键词[WOS]CREST LINES ; 3D ; CURVATURE ; FEATURES ; POINTS
收录类别SCI
语种英语
WOS记录号WOS:000291180700001
源URL[http://ir.ia.ac.cn/handle/173211/2812]  
专题自动化研究所_模式识别国家重点实验室_多媒体计算与图形学团队
自动化研究所_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
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.

入库方式： OAI收割

来源：自动化研究所

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