Approximate mu-bases of rational curves and surfaces
文献类型：期刊论文
| 作者 | Shen, Liyong; Chen, Falai; Juettler, Bert; Deng, Jiansong |
| 刊名 | GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS
 |
| 出版日期 | 2006 |
| 卷号 | 4077页码:175-188 |
| 关键词 | approximate mu-bases approximate implicitization |
| ISSN号 | 0302-9743 |
| 英文摘要 | The mu-bases of rational curves and surfaces are newly developed tools which play an important role in connecting parametric forms and implicit forms of curves and surfaces. However, exact mu-bases may have high degree with complicated rational coefficients and are often hard to compute (especially for surfaces), and sometimes they are not easy to use in geometric modeling and processing applications. In this paper, we introduce approximate mu-bases for rational curves and surfaces, and present an algorithm to compute approximate mu-bases. The algorithm amounts to solving a generalized eigenvalue problem and some quadratic programming problems with linear constraints. As applications, approximate implicitization and degree reduction of rational curves and surfaces with approximate mu-bases are discussed. Both the parametric equations and the implicit equations of the approximate curves/surfaces are easily obtained by using the approximate mu-bases. As indicated by the examples, the proposed algorithm may be a useful alternative to other methods for approximate implicitization. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239567900013 |
| 出版者 | SPRINGER-VERLAG BERLIN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2889]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shen, Liyong |
| 作者单位 | 1.Univ Sci & Technol China, Dept Math, Chengdu, Peoples R China 2.Johannes Kepler Univ Linz, Inst Appl Geometry, A-4040 Linz, Austria 3.Chinese Acad Sci, AMSS, Inst Syst Sci, KLMM, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Liyong,Chen, Falai,Juettler, Bert,et al. Approximate mu-bases of rational curves and surfaces[J]. GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS,2006,4077:175-188. |
| APA | Shen, Liyong,Chen, Falai,Juettler, Bert,&Deng, Jiansong.(2006).Approximate mu-bases of rational curves and surfaces.GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS,4077,175-188. |
| MLA | Shen, Liyong,et al."Approximate mu-bases of rational curves and surfaces".GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS 4077(2006):175-188. |
入库方式： OAI收割
来源：数学与系统科学研究院
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