Minimal mean-curvature-variation surfaces and their applications in surface modeling

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	Minimal mean-curvature-variation surfaces and their applications in surface modeling
	Xu, Guoliang ; Zhang, Qin
	2006
发表期刊	GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS
ISSN	0302-9743
卷号	4077 页码:357-370
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.
关键词	Euler-Lagrange equation minimal mean-curvature-variation flow energy functional discretization surface modeling
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000239567900025
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3694
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.