Polyhedral scene analysis combining parametric propagation with calotte analysis
文献类型：期刊论文
| 作者 | Li, HB; Zhao, LN; Chenl, Y |
| 刊名 | COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2005 |
| 卷号 | 3519页码:383-402 |
| 关键词 | polyhedral scene analysis imaging algebra Crassmann-Cayley algebra constraint satisfaction projective reconstruction |
| ISSN号 | 0302-9743 |
| 英文摘要 | Polyhedral scene analysis studies whether a 2D line drawing of a 3D polyhedron is realizable in the space, and if so, parameterizing the space of all possible realizations. For generic 2D data, symbolic computation with Grassmann-Cayley algebra is necessary. In this paper we propose a general method, called parametric calotte propagation, to solve the realization and parameterization problems in polyhedral scene analysis at the same time. Starting with the fundamental equations of Sugihara in the form of bivector equations, we can parameterize all the bivectors by introducing new parameters. The realization conditions are implied in the scalar equations satisfied by the new parameters, and can be derived by further analysis of the propagation result. The propagation procedure generally does not bifurcate, and the result often contains equations in factored form, thus makes further algebraic manipulation easier. In application, the method can be used to find linear construction sequences for non-spherical polyhedra. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000230362900027 |
| 出版者 | SPRINGER-VERLAG BERLIN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1357]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, HB |
| 作者单位 | 1.Chinese Acad Sci, Math Mechanizat Key Lab, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Bejing Univ Chem Technol, Sch Sci, Dept Math & Comp Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, HB,Zhao, LN,Chenl, Y. Polyhedral scene analysis combining parametric propagation with calotte analysis[J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,2005,3519:383-402. |
| APA | Li, HB,Zhao, LN,&Chenl, Y.(2005).Polyhedral scene analysis combining parametric propagation with calotte analysis.COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,3519,383-402. |
| MLA | Li, HB,et al."Polyhedral scene analysis combining parametric propagation with calotte analysis".COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS 3519(2005):383-402. |
入库方式： OAI收割
来源：数学与系统科学研究院
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