Triangular surface mesh fairing via Gaussian curvature flow
文献类型：期刊论文
| 作者 | Zhao, Huanxi; Xu, Guoliang |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2006-10-15 |
| 卷号 | 195期号:1-2页码:300-311 |
| 关键词 | mesh smoothing Gaussian curvature flow feature preserving |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2005.03.094 |
| 英文摘要 | Surface mesh fairing by the mean curvature flow and its various modifications have become a popular topic. However, very few researches have been attempted on using the Gaussian curvature flow in surface fairing. The aim of this paper is to investigate such a problem. We find that Gaussian curvature flow can only be used to smooth convex meshes. Hence, it cannot be used to smooth noisy surface meshes because a noisy surface mesh is not convex. To overcome this difficulty, we design a new diffusion equation whose evolution direction depends on the mean curvature normal and the magnitude is a properly defined function of the Gaussian curvature. Experimental results show that the designed fairing scheme can effectively remove the noise and simultaneously preserve the sharp features, such as corners and edges. (c) 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239258000027 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3662]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Huanxi |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Cent S Univ, Dept Math, Changsha 410083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Huanxi,Xu, Guoliang. Triangular surface mesh fairing via Gaussian curvature flow[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,195(1-2):300-311. |
| APA | Zhao, Huanxi,&Xu, Guoliang.(2006).Triangular surface mesh fairing via Gaussian curvature flow.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,195(1-2),300-311. |
| MLA | Zhao, Huanxi,et al."Triangular surface mesh fairing via Gaussian curvature flow".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 195.1-2(2006):300-311. |
入库方式： OAI收割
来源：数学与系统科学研究院
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