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Construction of minimal subdivision surface with a given boundary

文献类型：期刊论文

作者Pan, Qing2; Xu, Guoliang1
刊名COMPUTER-AIDED DESIGN
出版日期2011-04-01
卷号43期号:4页码:374-380
关键词Minimal subdivision surface Loop subdivision Mean curvature flow
ISSN号0010-4485
DOI10.1016/j.cad.2010.12.013
英文摘要The fascinating characters of minimal surface make it to be widely used in shape design. While the flexibility and high quality of subdivision surface make it a powerful mathematical tool for shape representation. In this paper, we construct minimal subdivision surfaces with given boundaries using the mean curvature flow, a second order geometric partial differential equation. This equation is solved by a finite element method where the finite element space is spanned by the limit functions of an extended Loop's subdivision scheme proposed by Biermann et al. Using this extended Loop's subdivision scheme we can treat a surface with boundary, thereby construct the perfect minimal subdivision surfaces with any topology of the control mesh and any shaped boundaries. (C) 2010 Elsevier Ltd. All rights reserved.
资助项目NSFC[10701071] ; NSFC[60773165] ; NSFC[10990013] ; Hunan Normal University[ET10901]
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000289017900004
出版者ELSEVIER SCI LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11978]  
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, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 110081, Peoples R China
推荐引用方式
GB/T 7714		 Pan, Qing,Xu, Guoliang. Construction of minimal subdivision surface with a given boundary[J]. COMPUTER-AIDED DESIGN,2011,43(4):374-380.
APA Pan, Qing,&Xu, Guoliang.(2011).Construction of minimal subdivision surface with a given boundary.COMPUTER-AIDED DESIGN,43(4),374-380.
MLA Pan, Qing,et al."Construction of minimal subdivision surface with a given boundary".COMPUTER-AIDED DESIGN 43.4(2011):374-380.

入库方式： OAI收割

来源：数学与系统科学研究院

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