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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