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A general sufficient condition of four positive solutions of the P3P problem
Zhang, CX; Hu, ZY
Source PublicationJOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
2005-11-01
Volume20Issue:6Pages:836-842
SubtypeArticle
AbstractIn this paper, it is proved that, given 3 control points A, B and C, if the camera's optical center 0 lies on one of the three planes perpendicular to the plane ABC and going through one of the three altitudes of the triangle ABC, and additionally its projection on the plane ABC is within the circumscribed circle of the triangle, that is, 0 is within the so-called "danger cylinder", then the corresponding P3P problem {O, (ABC)} must have 4 positive solutions. This result is purely geometrical, and more instructive. It can bring some new insight into a better understanding of multiple-solution problem in the PnP problem, and could be used as some theoretical guide to arrange control points in real applications.
KeywordP3p (Perspective-3-point) Problem Danger Cylinder Multiple Solutions
WOS HeadingsScience & Technology ; Technology
WOS KeywordPERSPECTIVE VIEW ; POSE ESTIMATION ; EFFICIENT ; POINTS
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Hardware & Architecture ; Computer Science, Software Engineering
WOS IDWOS:000233343300011
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9104
Collection09年以前成果
AffiliationChinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, CX,Hu, ZY. A general sufficient condition of four positive solutions of the P3P problem[J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,2005,20(6):836-842.
APA Zhang, CX,&Hu, ZY.(2005).A general sufficient condition of four positive solutions of the P3P problem.JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,20(6),836-842.
MLA Zhang, CX,et al."A general sufficient condition of four positive solutions of the P3P problem".JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY 20.6(2005):836-842.
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