Knowledge Commons of Institute of Automation,CAS
Lines of curvature and umbilical points for implicit surfaces | |
Che, Wujun![]() ![]() | |
发表期刊 | COMPUTER AIDED GEOMETRIC DESIGN
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2007-10-01 | |
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 |
推荐引用方式 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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