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Lines of curvature and umbilical points for implicit surfaces
Che, Wujun; Paul, Jean-Claude; Zhang, Xiaopeng
2007-10-01
发表期刊COMPUTER AIDED GEOMETRIC DESIGN
卷号24期号:7页码:395-409
文章类型Article
摘要This 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.
关键词Curvature Torsion Gaussian Curvature Mean Curvature Implicit Surface Line Of Curvature Umbilical Point
WOS标题词Science & Technology ; Technology ; Physical Sciences
关键词[WOS]CURVES ; IMAGES
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:000249076700002
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9497
专题09年以前成果
作者单位1.Chinese Acad Sci, NLPR, Inst Automat, Beijing 100080, Peoples R China
2.Tsing Hua Univ, Beijing 100084, Peoples R China
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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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