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A note on the number of solutions of the noncoplanar P4P problem
Hu, ZY; Wu, FC
Source PublicationIEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
2002-04-01
Volume24Issue:4Pages:550-555
SubtypeArticle
AbstractIn 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.
KeywordThe Noncoplanar P4p Problem Rigid Transformation Upper Bound
WOS HeadingsScience & Technology ; Technology
WOS KeywordDETERMINING CAMERA PARAMETERS ; PERSPECTIVE PROJECTION ; POINTS ; VIEW
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000174574100010
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9860
Collection09年以前成果
Affiliation1.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
Recommended Citation
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.
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