Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems
文献类型：期刊论文
| 作者 | Zhou Jie; Wang Dingkang
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2016-10-01 |
| 卷号 | 29期号:5页码:1446-1471 |
| 关键词 | Comprehensive Grobner system parametric polynomials perspective-three-point problem real solutions |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-015-4310-y |
| 英文摘要 | A complete solution classification of the perspective-three-point (P3P) problem is given by using the Grobner basis method. The structure of the solution space of the polynomial system deduced by the P3P problem can be obtained by computing a comprehensive Grobner system. Combining with properties of the generalized discriminant sequences, the authors give the explicit conditions to determine the number of distinct real positive solutions of the P3P problem. Several examples are provided to illustrate the effectiveness of the proposed conditions. |
| 资助项目 | National Nature Science Foundation of China[11371356] ; National Nature Science Foundation of China[61121062] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000384986000017 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23985]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhou Jie |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou Jie,Wang Dingkang. Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(5):1446-1471. |
| APA | Zhou Jie,&Wang Dingkang.(2016).Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(5),1446-1471. |
| MLA | Zhou Jie,et al."Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.5(2016):1446-1471. |
入库方式： OAI收割
来源：数学与系统科学研究院
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