Discrete surface modelling using partial differential equations

doi:10.1016/j.cagd.2005.05.004

CSpace

	Discrete surface modelling using partial differential equations
	Xu, GL ; Pan, Q ; Bajaj, CL
	2006-02-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	23 期号:2 页码:125-145
摘要	We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form surface fitting. The nonlinear equations used include two second order flows, two fourth order flows and two sixth order flows. These nonlinear equations are discretized based on discrete differential geometry operators. The proposed approach is simple, efficient and gives very desirable results, for a range of surface models, possibly having sharp creases and corners. (c) 2005 Elsevier B.V. All rights reserved.
关键词	free-form surface fitting blending N-sided hole differential equations
DOI	10.1016/j.cagd.2005.05.004
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000234338200003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3354
专题	中国科学院数学与系统科学研究院
通讯作者	Bajaj, CL
作者单位	1.Univ Texas, Dept Comp Sci, Ctr Computat Visualizat, Austin, TX 78712 USA 2.Univ Texas, Dept Comp Sci, Inst Computat Engn & Sci, Austin, TX 78712 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Comp Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL,Pan, Q,Bajaj, CL. Discrete surface modelling using partial differential equations[J]. COMPUTER AIDED GEOMETRIC DESIGN,2006,23(2):125-145.
APA	Xu, GL,Pan, Q,&Bajaj, CL.(2006).Discrete surface modelling using partial differential equations.COMPUTER AIDED GEOMETRIC DESIGN,23(2),125-145.
MLA	Xu, GL,et al."Discrete surface modelling using partial differential equations".COMPUTER AIDED GEOMETRIC DESIGN 23.2(2006):125-145.