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Complete solution classification for the Perspective-Three-Point problem
文献类型：期刊论文
| 作者 | Gao, XS; Hou, XR; Tang, JL; Cheng, HF |
| 刊名 | IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
 |
| 出版日期 | 2003-08-01 |
| 卷号 | 25期号:8页码:930-943 |
| 关键词 | Perspective-Three-Point problem pose determination analytical solutions solution classification geometric criteria Wu-Ritt's zero decomposition method |
| ISSN号 | 0162-8828 |
| 英文摘要 | In this paper, we use two approaches to solve the Perspective-Three-Point (P3P) problem: the algebraic approach and the geometric approach. In the algebraic approach, we use Wu-Ritt's zero decomposition algorithm to give a complete triangular decomposition for the P3P equation system. This decomposition provides the first complete analytical solution to the P3P problem. We also give a complete solution classification for the P3P equation system, i.e., we give explicit criteria for the P3P problem to have one, two, three, and four solutions. Combining the analytical solutions with the criteria, we provide an algorithm, CASSC, which may be used to find complete and robust numerical solutions to the P3P problem. In the geometric approach, we give some pure geometric criteria for the number of real physical solutions. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000184249800001 |
| 出版者 | IEEE COMPUTER SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19022]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, XS |
| 作者单位 | 1.Acad Sinica, AMSS, Inst Syst Sci, Beijing 100080, Peoples R China 2.NingBo Univ, Inst Computat Math, Ningbo 315211, Peoples R China 3.Penn State Univ, Dept Math, University Pk, PA 16802 USA |
| 推荐引用方式 GB/T 7714 | Gao, XS,Hou, XR,Tang, JL,et al. Complete solution classification for the Perspective-Three-Point problem[J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,2003,25(8):930-943. |
| APA | Gao, XS,Hou, XR,Tang, JL,&Cheng, HF.(2003).Complete solution classification for the Perspective-Three-Point problem.IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,25(8),930-943. |
| MLA | Gao, XS,et al."Complete solution classification for the Perspective-Three-Point problem".IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 25.8(2003):930-943. |
入库方式： OAI收割
来源：数学与系统科学研究院
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