A general sufficient condition of four positive solutions of the P3P problem

	A general sufficient condition of four positive solutions of the P3P problem
	Zhang, CX; Hu, ZY
刊名	JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
	2005-11-01
卷号	20 期号:6 页码:836-842
关键词	P3P (Perspective-3-Point) problem danger cylinder multiple solutions
英文摘要	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.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Hardware & Architecture ; Computer Science, Software Engineering
研究领域[WOS]	Computer Science
关键词[WOS]	PERSPECTIVE VIEW ; POSE ESTIMATION ; EFFICIENT ; POINTS
收录类别	SCI
语种	英语
WOS记录号	WOS:000233343300011
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/9104]
专题	自动化研究所_09年以前成果
作者单位	Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 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.