C-1 modeling with A-patches from rational trivariate functions

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	C-1 modeling with A-patches from rational trivariate functions
	Xu, GL ; Huang, HC ; Bajaj, C
	2001-04-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	18 期号:3 页码:221-243
摘要	We approximate a manifold triangulation in R-3 using smooth implicit algebraic surface patches. which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function defined within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape modeling is significantly reduced compared to earlier similar approaches. Furthermore, the surface patches have quadratic precision. that is they exactly recover quadratic surfaces. We give conditions under which a C-1 smooth and single sheeted surface patch is isolated from the multiple sheets. (C) 2001 Elsevier Science B.V. All rights reserved.
关键词	algebraic surface rational A-patch surface fit triangulation
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:000168795100004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16584
专题	中国科学院数学与系统科学研究院
通讯作者	Bajaj, C
作者单位	1.Univ Texas, Dept Comp Sci, Austin, TX 78712 USA 2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China 3.Chinese Acad Sci, State Key Lab Sci & Engn Comp, ICMSEC, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL,Huang, HC,Bajaj, C. C-1 modeling with A-patches from rational trivariate functions[J]. COMPUTER AIDED GEOMETRIC DESIGN,2001,18(3):221-243.
APA	Xu, GL,Huang, HC,&Bajaj, C.(2001).C-1 modeling with A-patches from rational trivariate functions.COMPUTER AIDED GEOMETRIC DESIGN,18(3),221-243.
MLA	Xu, GL,et al."C-1 modeling with A-patches from rational trivariate functions".COMPUTER AIDED GEOMETRIC DESIGN 18.3(2001):221-243.