A general sufficient condition of four positive solutions of the P3P problem | |
Zhang, CX; Hu, ZY![]() | |
刊名 | JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
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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. |
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