A note on the number of solutions of the noncoplanar P4P problem

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	A note on the number of solutions of the noncoplanar P4P problem
	Hu, ZY; Wu, FC
发表期刊	IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
	2002-04-01
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
引用统计	被引频次：61[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
推荐引用方式 GB/T 7714	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.