On the probability of the number of solutiong for the P4P problem

doi:10.1007/s10851-006-5149-6

CSpace

	On the probability of the number of solutiong for the P4P problem
	Gao, Xiao-Shan ; Tang, Jianliang
	2006-07-01
发表期刊	JOURNAL OF MATHEMATICAL IMAGING AND VISION
ISSN	0924-9907
卷号	25 期号:1 页码:79-86
摘要	This paper studies the multi-solution phenomenon for the perspective four point (P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to five solutions. We also give a clear picture on how these five solutions could be realized. We prove that with probability one, the P4P problem has a unique solution which can be represented by a set of rational functions in the parameters. The simulant experiments show that to solve the P4P problem with the rational functions is stable and accurate.
关键词	camera calibration pose determination perspective four point problem P4P probability number of solutions
DOI	10.1007/s10851-006-5149-6
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000240629500005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3438
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Xiao-Shan
作者单位	1.Acad Sinica, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 2.Shenzhen Univ, Coll Sci, Shenzhen 518060, Peoples R China
推荐引用方式 GB/T 7714	Gao, Xiao-Shan,Tang, Jianliang. On the probability of the number of solutiong for the P4P problem[J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION,2006,25(1):79-86.
APA	Gao, Xiao-Shan,&Tang, Jianliang.(2006).On the probability of the number of solutiong for the P4P problem.JOURNAL OF MATHEMATICAL IMAGING AND VISION,25(1),79-86.
MLA	Gao, Xiao-Shan,et al."On the probability of the number of solutiong for the P4P problem".JOURNAL OF MATHEMATICAL IMAGING AND VISION 25.1(2006):79-86.