Algebraic Error Based Triangulation and Metric of Lines

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	Algebraic Error Based Triangulation and Metric of Lines
	Wu, Fuchao1 ; Zhang, Ming1 ; Wang, Guanghui 2; Hu, Zhanyi1
刊名	PLOS ONE
	2015-07-28
卷号	10 期号:7
英文摘要	Line triangulation, a classical geometric problem in computer vision, is to determine the 3D coordinates of a line based on its 2D image projections from more than two views of cameras with known projection matrices. Compared to point features, line segments are more robust to matching errors, occlusions, and image uncertainties. In addition to line triangulation, a better metric is needed to evaluate 3D errors of line triangulation. In this paper, the line triangulation problem is investigated by using the Lagrange multipliers theory. The main contributions include: (i) Based on the Lagrange multipliers theory, a formula to compute the Plucker correction is provided, and from the formula, a new linear algorithm, LINa, is proposed for line triangulation; (ii) two optimal algorithms, OPTa-I and OPTa-II, are proposed by minimizing the algebraic error; and (iii) two metrics on 3D line space, the orthogonal metric and the quasi-Riemannian metric, are introduced for the evaluation of line triangulations. Extensive experiments on synthetic data and real images are carried out to validate and demonstrate the effectiveness of the proposed algorithms.
WOS标题词	Science & Technology
类目[WOS]	Multidisciplinary Sciences
研究领域[WOS]	Science & Technology - Other Topics
关键词[WOS]	CAMERA
收录类别	SCI
语种	英语
WOS记录号	WOS:000358595900007
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/8889]
专题	自动化研究所_模式识别国家重点实验室_机器人视觉团队
作者单位	1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China 2.Univ Kansas, Dept Elect Engn & Comp Sci, Lawrence, KS 66045 USA
推荐引用方式 GB/T 7714	Wu, Fuchao,Zhang, Ming,Wang, Guanghui,et al. Algebraic Error Based Triangulation and Metric of Lines[J]. PLOS ONE,2015,10(7).
APA	Wu, Fuchao,Zhang, Ming,Wang, Guanghui,&Hu, Zhanyi.(2015).Algebraic Error Based Triangulation and Metric of Lines.PLOS ONE,10(7).
MLA	Wu, Fuchao,et al."Algebraic Error Based Triangulation and Metric of Lines".PLOS ONE 10.7(2015).