Regularization of B-spline objects
文献类型：期刊论文
| 作者 | Xu, Guoliang1; Bajaj, Chandrajit2,3 |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2011 |
| 卷号 | 28期号:1页码:38-49 |
| 关键词 | Spline objects Regularization L(2)-gradient flow Finite element method |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2010.09.008 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000285727600003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13000]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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