Lines of curvature and umbilical points for implicit surfaces

CASIA OpenIR > 09年以前成果

	Lines of curvature and umbilical points for implicit surfaces
	Che, Wujun; Paul, Jean-Claude ; Zhang, Xiaopeng
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
	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	被引频次：19[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/173211/9497
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.