On the probability of the number of solutiong for the P4P problem
文献类型：期刊论文
| 作者 | Gao, Xiao-Shan; Tang, Jianliang |
| 刊名 | JOURNAL OF MATHEMATICAL IMAGING AND VISION
 |
| 出版日期 | 2006-07-01 |
| 卷号 | 25期号:1页码:79-86 |
| 关键词 | camera calibration pose determination perspective four point problem P4P probability number of solutions |
| ISSN号 | 0924-9907 |
| DOI | 10.1007/s10851-006-5149-6 |
| 英文摘要 | This paper studies the multi-solution phenomenon for the perspective four point (P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to five solutions. We also give a clear picture on how these five solutions could be realized. We prove that with probability one, the P4P problem has a unique solution which can be represented by a set of rational functions in the parameters. The simulant experiments show that to solve the P4P problem with the rational functions is stable and accurate. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000240629500005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3437]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, Xiao-Shan |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 2.Shenzhen Univ, Coll Sci, Shenzhen 518060, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, Xiao-Shan,Tang, Jianliang. On the probability of the number of solutiong for the P4P problem[J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION,2006,25(1):79-86. |
| APA | Gao, Xiao-Shan,&Tang, Jianliang.(2006).On the probability of the number of solutiong for the P4P problem.JOURNAL OF MATHEMATICAL IMAGING AND VISION,25(1),79-86. |
| MLA | Gao, Xiao-Shan,et al."On the probability of the number of solutiong for the P4P problem".JOURNAL OF MATHEMATICAL IMAGING AND VISION 25.1(2006):79-86. |
入库方式： OAI收割
来源：数学与系统科学研究院
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