Rational quadratic approximation to real algebraic curves
文献类型：期刊论文
| 作者 | Gao, XS ; Li, M
|
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 21期号:8页码:805-828 |
| 关键词 | real algebraic curve parametrization approximation topology determination |
| ISSN号 | 0167-8396 |
| DOI | 10.1016/j.cagd.2004.07.009 |
| 英文摘要 | An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination, curve segmentation, segment approximation and curve tracing. Due to the detailed geometric analysis, high accuracy of approximation may be achieved with a small number of quadratic segments. The final approximation keeps many important geometric features of the original curve such as the topology, convexity and sharp points. Our method is implemented and experiments show that it may achieve better approximation bound with less segments than previously known methods. We also extend the method to approximate spatial algebraic curves. (C) 2004 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224290700006 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19561]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Gao, XS |
| 作者单位 | Acad Sinica, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, XS,Li, M. Rational quadratic approximation to real algebraic curves[J]. COMPUTER AIDED GEOMETRIC DESIGN,2004,21(8):805-828. |
| APA | Gao, XS,&Li, M.(2004).Rational quadratic approximation to real algebraic curves.COMPUTER AIDED GEOMETRIC DESIGN,21(8),805-828. |
| MLA | Gao, XS,et al."Rational quadratic approximation to real algebraic curves".COMPUTER AIDED GEOMETRIC DESIGN 21.8(2004):805-828. |
入库方式： OAI收割
来源：数学与系统科学研究院
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