A New Set of Quartic Trivariate Polynomial Equations for Stratied Camera Self-calibrationunder Zero-Skew and Constant Parameters Assumptions

Habed, Adlane; Al Ismaeil, Kassem; Fofi, David

doi:10.1007/978-3-642-33783-3_51

Reference : A New Set of Quartic Trivariate Polynomial Equations for Stratied Camera Self-calibra...


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/5707

Title :	A New Set of Quartic Trivariate Polynomial Equations for Stratied Camera Self-calibrationunder Zero-Skew and Constant Parameters Assumptions
Language :	English
Author, co-author :	Habed, Adlane [University of Burgundy, France]
	Al Ismaeil, Kassem [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
	Fofi, David [University of Burgundy, France]
Publication date :	2012
Main document title :	Computer Vision – ECCV 2012, 12th European Conference on Computer Vision, Florence, Italy, October 7-13, 2012, Proceedings, Part VI
Publisher :	Springer Berlin Heidelberg
Collection and collection volume :	Lecture Notes in Computer Science; 7577
Pages :	710-723
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	12th European Conference on Computer Vision
Event date :	7 - 13 October
Event place (city) :	Florence
Event country :	Italy
Keywords :	[en] Camera Self-calibration ; Multiple View Geometry
Abstract :	[en] This paper deals with the problem of self-calibrating a moving camera with constant parameters. We propose a new set of quartic trivariate polynomial equations in the unknown coordinates of the plane at infinity derived under the no-skew assumption. Our new equations allow to further enforce the constancy of the principal point across all images while retrieving the plane at infinity. Six such polynomials, four of which are independent, are obtained for each triplet of images. The proposed equations can be solved along with the so-called modulus constraints and allow to improve the performance of existing methods.
Permalink :	http://hdl.handle.net/10993/5707
DOI :	10.1007/978-3-642-33783-3_51

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