Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions

doi:10.1016/j.cad.2011.02.009

CSpace

	Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions
	Pan, Qing 1; Xu, Guoliang 2
	2011-06-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	43 期号:6 页码:605-611
摘要	We present a scheme that combines the subdivision technique and the geometric partial differential equations method which provides us an efficient algorithm for designing high-quality surfaces with arbitrary topology structure. We use several fourth-order geometric partial differential equations to construct Catmull-Clark's subdivision surfaces with prescribed G(1) boundary conditions where a mixed finite element method is based on the modified Catmull-Clark's subdivision scheme. Our approach can uniformly handle surface construction both with specified boundary normals and with interior sharp edges, which is a powerful tool for designing the shape of surfaces. (C) 2011 Elsevier Ltd. All rights reserved.
关键词	Catmull-Clark's subdivision surface Geometric partial differential equations G(1) Continuity
DOI	10.1016/j.cad.2011.02.009
语种	英语
资助项目	NSFC[10701071] ; NSFC[10990013] ; NSFC[60773165] ; Hunan Normal University[ET10901]
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000291337300005
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/12082
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, Qing
作者单位	1.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Pan, Qing,Xu, Guoliang. Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions[J]. COMPUTER-AIDED DESIGN,2011,43(6):605-611.
APA	Pan, Qing,&Xu, Guoliang.(2011).Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions.COMPUTER-AIDED DESIGN,43(6),605-611.
MLA	Pan, Qing,et al."Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions".COMPUTER-AIDED DESIGN 43.6(2011):605-611.