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Lines of curvature and umbilical points for implicit surfaces
Che, Wujun; Paul, Jean-Claude; Zhang, Xiaopeng
Source PublicationCOMPUTER AIDED GEOMETRIC DESIGN
2007-10-01
Volume24Issue:7Pages:395-409
SubtypeArticle
AbstractThis paper develops a method to analyze and compute the lines of curvature and their differential geometry defined on implicit surfaces. With our technique, we can explicitly obtain the analytic formulae of the associated geometric attributes of an implicit surface, e.g. torsion of a line of curvature and Gaussian curvature. Additionally, it can be used to directly derive the closed formulae of principal directions and corresponding principal curvature of an implicit surface. We also present a novel criterion for nonumbilical points and umbilical points on an implicit surface. (C) 2007 Elsevier B.V. All rights reserved.
KeywordCurvature Torsion Gaussian Curvature Mean Curvature Implicit Surface Line Of Curvature Umbilical Point
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS KeywordCURVES ; IMAGES
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000249076700002
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9497
Collection09年以前成果
Affiliation1.Chinese Acad Sci, NLPR, Inst Automat, Beijing 100080, Peoples R China
2.Tsing Hua Univ, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
Che, Wujun,Paul, Jean-Claude,Zhang, Xiaopeng. Lines of curvature and umbilical points for implicit surfaces[J]. COMPUTER AIDED GEOMETRIC DESIGN,2007,24(7):395-409.
APA Che, Wujun,Paul, Jean-Claude,&Zhang, Xiaopeng.(2007).Lines of curvature and umbilical points for implicit surfaces.COMPUTER AIDED GEOMETRIC DESIGN,24(7),395-409.
MLA Che, Wujun,et al."Lines of curvature and umbilical points for implicit surfaces".COMPUTER AIDED GEOMETRIC DESIGN 24.7(2007):395-409.
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