G(1) surface modelling using fourth order geometric flows

doi:10.1016/j.cad.2005.11.002

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	G(1) surface modelling using fourth order geometric flows
	Xu, GL; Pan, Q
	2006-04-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	38 期号:4 页码:392-403
摘要	We use three fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form Surface fitting with the G(1) boundary continuity. The non-linear equations we use include the surface diffusion flow, the quasi surface diffusion flow and the Willmore flow. These non-linear equations are discretized using a mixed finite element method based on a combination of the Loop's basis and the linear basis. The proposed approach is simple, efficient and gives very desirable results. (c) 2005 Elsevier Ltd. All rights reserved.
关键词	geometric PDEs surface blending N-sided hole filling free-form surface fitting mixed finite element method
DOI	10.1016/j.cad.2005.11.002
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000236999700010
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/2418
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, GL
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL,Pan, Q. G(1) surface modelling using fourth order geometric flows[J]. COMPUTER-AIDED DESIGN,2006,38(4):392-403.
APA	Xu, GL,&Pan, Q.(2006).G(1) surface modelling using fourth order geometric flows.COMPUTER-AIDED DESIGN,38(4),392-403.
MLA	Xu, GL,et al."G(1) surface modelling using fourth order geometric flows".COMPUTER-AIDED DESIGN 38.4(2006):392-403.