Lines of curvature and umbilical points for implicit surfaces
文献类型：期刊论文
| 作者 | Che, Wujun ; Paul, Jean-Claude; Zhang, Xiaopeng
|
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 24期号:7页码:395-409 |
| 关键词 | curvature torsion Gaussian curvature mean curvature implicit surface line of curvature umbilical point |
| 英文摘要 | This paper develops a method to analyze and compute the lines of curvature and their differential geometry defined on implicit surfaces. With our technique, we can explicitly obtain the analytic formulae of the associated geometric attributes of an implicit surface, e.g. torsion of a line of curvature and Gaussian curvature. Additionally, it can be used to directly derive the closed formulae of principal directions and corresponding principal curvature of an implicit surface. We also present a novel criterion for nonumbilical points and umbilical points on an implicit surface. (C) 2007 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] | CURVES ; IMAGES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000249076700002 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9497]  |
| 专题 | 自动化研究所_09年以前成果 |
| 作者单位 | 1.Chinese Acad Sci, NLPR, Inst Automat, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Che, Wujun,Paul, Jean-Claude,Zhang, Xiaopeng. Lines of curvature and umbilical points for implicit surfaces[J]. COMPUTER AIDED GEOMETRIC DESIGN,2007,24(7):395-409. |
| APA | Che, Wujun,Paul, Jean-Claude,&Zhang, Xiaopeng.(2007).Lines of curvature and umbilical points for implicit surfaces.COMPUTER AIDED GEOMETRIC DESIGN,24(7),395-409. |
| MLA | Che, Wujun,et al."Lines of curvature and umbilical points for implicit surfaces".COMPUTER AIDED GEOMETRIC DESIGN 24.7(2007):395-409. |
入库方式： OAI收割
来源：自动化研究所
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