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

文献类型：期刊论文

作者Xu, Guoliang; Zhang, Qin
刊名COMPUTER-AIDED DESIGN
出版日期2007-05-01
卷号39期号:5页码:342-351
关键词Euler-Lagrange equation minimal mean-curvature-variation flow energy functional discretization surface modeling
ISSN号0010-4485
DOI10.1016/j.cad.2007.02.007
英文摘要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.
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000247222600002
出版者ELSEVIER SCI LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4778]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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