The number of independent Kruppa constraints from N images

	The number of independent Kruppa constraints from N images
	Hu, ZY; Wu, YH; Wu, FC; De Ma, S
刊名	JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
	2006-03-01
卷号	21 期号:2 页码:209-217
关键词	camera calibration imaging geometry stereo
英文摘要	It is well known that without any priori knowledge on the scene, camera motion and camera intrinsic parameters; the only constraint between a pair of images is the so-called epipolar constraint, or equivalently its fundamental matrix. For each fundamental matrix, at most two independent constraints on the cameras' intrinsic parameters are available via the Kruppa equations. Given N images, N(N - 1)/2 fundamental matrices appear, and N(N - 1) Kruppa constraints are available. However, to our knowledge, a formal proof of how many independent Kruppa constraints exist out of these N(N - 1) ones is unavailable in the literature. In this paper, we prove that given AT images captured by a pinhole camera with varying parameters and under general motion, the number of independent Kruppa constraints is (5N - 9) (N > 2), and it is less than that of independent constraints from the absolute quadric by only one. This one-constraint-less property of the Kruppa equations is their inherent deficiency and is independent of camera motion. This deficiency is due to their failure of automatic enforcement of the rank-three-ness on the absolute quadric.
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
收录类别	SCI
语种	英语
WOS记录号	WOS:000236292700010
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/9286]
专题	自动化研究所_09年以前成果
作者单位	Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, ZY,Wu, YH,Wu, FC,et al. The number of independent Kruppa constraints from N images[J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,2006,21(2):209-217.
APA	Hu, ZY,Wu, YH,Wu, FC,&De Ma, S.(2006).The number of independent Kruppa constraints from N images.JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,21(2),209-217.
MLA	Hu, ZY,et al."The number of independent Kruppa constraints from N images".JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY 21.2(2006):209-217.