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A note on the number of solutions of the noncoplanar P4P problem
Hu, ZY; Wu, FC
2002-04-01
发表期刊IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
卷号24期号:4页码:550-555
文章类型Article
摘要In the literature, the PnP problem is indistinguishably defined as either to determine the distances of the control points from the camera's optical center or to determine the transformation matrices from the object-centered frame to the camera-centered frame. In this paper, we show that these two definitions are generally not equivalent. In particular, we prove that, if the four control points are not coplanar, the upper bound of the P4P problem under the distance-based definition is 5 and also attainable, whereas the upper bound of the P4P problem under the transformation-based definition is only 4. Finally, we study the conditions under which at least two, three, four, and five different positive solutions exist in the distance based noncoplanar P4P problem.
关键词The Noncoplanar P4p Problem Rigid Transformation Upper Bound
WOS标题词Science & Technology ; Technology
关键词[WOS]DETERMINING CAMERA PARAMETERS ; PERSPECTIVE PROJECTION ; POINTS ; VIEW
收录类别SCI
语种英语
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:000174574100010
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被引频次:50[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9860
专题09年以前成果
作者单位1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
2.Anhui Univ, Artificial Intelligence Lab, Hefei 230039, Peoples R China
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Hu, ZY,Wu, FC. A note on the number of solutions of the noncoplanar P4P problem[J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,2002,24(4):550-555.
APA Hu, ZY,&Wu, FC.(2002).A note on the number of solutions of the noncoplanar P4P problem.IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,24(4),550-555.
MLA Hu, ZY,et al."A note on the number of solutions of the noncoplanar P4P problem".IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 24.4(2002):550-555.
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