Computing lines of curvature for implicit surfaces
文献类型：期刊论文
| 作者 | Zhang, XiaoPeng1,2 ; Che, WuJun1,2; Paul, Jean-Claud1,3,4
|
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2009-12-01 |
| 卷号 | 26期号:9页码:923-940 |
| 关键词 | Implicit surface Line of curvature Principal foliation Principal configuration Umbilical point Visualization |
| 英文摘要 | Lines of curvature are important intrinsic characteristics of a curved surface used in a wide variety of geometric analysis and processing. Although their differential attributes have been examined in detail, their global geometric distribution and topological pattern are very difficult to compute over the whole surface because of umbilical points and unstable numerical computation. No studies have yet been carried out on this problem, especially for an implicit surface. In this paper, we present a scheme for computing and visualizing the lines of curvature defined on an implicit surface. A key structure is introduced, conveying significant structure information about lines of curvature to facilitate their investigation, rather than computing their whole net. Our current framework is confined to a collection of manageable structures, consisting of algorithms to locate some seed umbilical points, to compute the lines of curvature through them, and finally to assemble this structure. The numerical implementations are provided in detail and a novel evaluation function measuring the violation of umbilical points in an implicit surface. i.e. indicating how much a point is to be umbilical, is also presented. This paper is the continuation of [Che, W.J., Paul, J.-C., Zhang, X.P., 2007. Lines of curvature and umbilical points for implicit surfaces. Computer Aided Geometric Design 24 (7). 395-409]. (C) 2009 Elsevier B.V. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Computer Science, Software Engineering ; Mathematics, Applied |
| 研究领域[WOS] | Computer Science ; Mathematics |
| 关键词[WOS] | TOPOLOGY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000271824300001 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/2800]  |
| 专题 | 自动化研究所_模式识别国家重点实验室_多媒体计算与图形学团队 |
| 作者单位 | 1.CAS, Inst Automat, LIAMA, Beijing 100190, Peoples R China 2.CAS, Inst Automat, NLPR, Beijing 100190, Peoples R China 3.Tsinghua Univ, Sch Software, Beijing 100084, Peoples R China 4.INRIA, F-78153 Le Chesnay, France |
| 推荐引用方式 GB/T 7714 | Zhang, XiaoPeng,Che, WuJun,Paul, Jean-Claud. Computing lines of curvature for implicit surfaces[J]. COMPUTER AIDED GEOMETRIC DESIGN,2009,26(9):923-940. |
| APA | Zhang, XiaoPeng,Che, WuJun,&Paul, Jean-Claud.(2009).Computing lines of curvature for implicit surfaces.COMPUTER AIDED GEOMETRIC DESIGN,26(9),923-940. |
| MLA | Zhang, XiaoPeng,et al."Computing lines of curvature for implicit surfaces".COMPUTER AIDED GEOMETRIC DESIGN 26.9(2009):923-940. |
入库方式： OAI收割
来源：自动化研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。