Construction of minimal subdivision surface with a given boundary

doi:10.1016/j.cad.2010.12.013

CSpace

	Construction of minimal subdivision surface with a given boundary
	Pan, Qing 2; Xu, Guoliang 1
	2011-04-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	43 期号:4 页码:374-380
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.
关键词	Minimal subdivision surface Loop subdivision Mean curvature flow
DOI	10.1016/j.cad.2010.12.013
语种	英语
资助项目	NSFC[10701071] ; NSFC[60773165] ; NSFC[10990013] ; Hunan Normal University[ET10901]
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000289017900004
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11979
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.