中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Minimal mean-curvature-variation surfaces and their applications in surface modeling

文献类型:期刊论文

作者Xu, Guoliang; Zhang, Qin
刊名GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS
出版日期2006
卷号4077页码:357-370
关键词Euler-Lagrange equation minimal mean-curvature-variation flow energy functional discretization surface modeling
ISSN号0302-9743
英文摘要Physical based and geometric 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 a 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 (named as minimal mean-curvature-variation 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. The illustrative examples provided show that this sixth-order flow yields high quality surfaces.
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000239567900025
出版者SPRINGER-VERLAG BERLIN
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/3693]  
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, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China
2.Beijing Informat Sci & Technol Univ, Dept Basic Courses, Beijing 100085, Peoples R China
推荐引用方式
GB/T 7714
Xu, Guoliang,Zhang, Qin. Minimal mean-curvature-variation surfaces and their applications in surface modeling[J]. GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS,2006,4077:357-370.
APA Xu, Guoliang,&Zhang, Qin.(2006).Minimal mean-curvature-variation surfaces and their applications in surface modeling.GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS,4077,357-370.
MLA Xu, Guoliang,et al."Minimal mean-curvature-variation surfaces and their applications in surface modeling".GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS 4077(2006):357-370.

入库方式: OAI收割

来源:数学与系统科学研究院

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