G(2) surface modeling using minimal mean-curvature-variation flow

doi:10.1016/j.cad.2007.02.007

CSpace

	G(2) surface modeling using minimal mean-curvature-variation flow
	Xu, Guoliang ; Zhang, Qin
	2007-05-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	39 期号:5 页码:342-351
摘要	Physics and geometry based variational techniques for surface construction have been shown to be advanced methods for designing high quality surfaces in the fields of CAD and CAGD. In this paper, we derive an Euler-Lagrange equation from a geometric invariant curvature integral functional-the integral about the mean curvature gradient. Using this Euler-Lagrange equation, we construct a sixth-order geometric flow, which is solved numerically by a divided-difference-like method. We apply our equation to solving several surface modeling problems, including surface blending, N-sided hole filling and point interpolating, with G(2) continuity. The illustrative examples provided show that this sixth-order flow yields high quality surfaces. (c) 2007 Elsevier Ltd. All rights reserved.
关键词	Euler-Lagrange equation minimal mean-curvature-variation flow energy functional discretization surface modeling
DOI	10.1016/j.cad.2007.02.007
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000247222600002
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/4779
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, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Beijing 100085, Peoples R China
推荐引用方式 GB/T 7714	Xu, Guoliang,Zhang, Qin. G(2) surface modeling using minimal mean-curvature-variation flow[J]. COMPUTER-AIDED DESIGN,2007,39(5):342-351.
APA	Xu, Guoliang,&Zhang, Qin.(2007).G(2) surface modeling using minimal mean-curvature-variation flow.COMPUTER-AIDED DESIGN,39(5),342-351.
MLA	Xu, Guoliang,et al."G(2) surface modeling using minimal mean-curvature-variation flow".COMPUTER-AIDED DESIGN 39.5(2007):342-351.