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A general sufficient condition of four positive solutions of the P3P problem
Zhang, CX; Hu, ZY
2005-11-01
发表期刊JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
卷号20期号:6页码:836-842
文章类型Article
摘要In 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.
关键词P3p (Perspective-3-point) Problem Danger Cylinder Multiple Solutions
WOS标题词Science & Technology ; Technology
关键词[WOS]PERSPECTIVE VIEW ; POSE ESTIMATION ; EFFICIENT ; POINTS
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Hardware & Architecture ; Computer Science, Software Engineering
WOS记录号WOS:000233343300011
引用统计
被引频次:12[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/173211/9104
专题09年以前成果
作者单位Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100080, Peoples R China
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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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