Regularization of B-spline objects

doi:10.1016/j.cagd.2010.09.008

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	Regularization of B-spline objects
	Xu, Guoliang 1; Bajaj, Chandrajit 2,3
	2011
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	28 期号:1 页码:38-49
摘要	By a d-dimensional B-spline object (denoted as O(d)), we mean a B-spline curve (d = 1), a B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object O(d) we mean the process of relocating the control points of O(d) such that it approximates an isometric map of its definition domain in certain directions and is shape preserving. In this paper we develop an efficient regularization method for O(d), d = 1,2,3, based on solving weak form L(2)-gradient flows constructed from the minimization of certain regularizing energy functionals. These flows are integrated via the finite element method using B-spline basis functions. Our experimental results demonstrate that our new regularization methods are very effective. (C) 2010 Elsevier B.V. All rights reserved.
关键词	Spline objects Regularization L(2)-gradient flow Finite element method
DOI	10.1016/j.cagd.2010.09.008
语种	英语
资助项目	NSFC[60773165] ; NSFC[10990013] ; NSF[CNS-0540033] ; NIH[R01-EB00487] ; NIH[R01GM074258] ; NIH[R01-GM07308] ; ICES
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000285727600003
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/13001
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Guoliang
作者单位	1.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Texas Austin, Dept Comp Sci, Austin, TX 78712 USA 3.Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
推荐引用方式 GB/T 7714	Xu, Guoliang,Bajaj, Chandrajit. Regularization of B-spline objects[J]. COMPUTER AIDED GEOMETRIC DESIGN,2011,28(1):38-49.
APA	Xu, Guoliang,&Bajaj, Chandrajit.(2011).Regularization of B-spline objects.COMPUTER AIDED GEOMETRIC DESIGN,28(1),38-49.
MLA	Xu, Guoliang,et al."Regularization of B-spline objects".COMPUTER AIDED GEOMETRIC DESIGN 28.1(2011):38-49.