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On Camera Calibration with Linear Programming and Loop Constraint Linearization

Jérôme Courchay 1, 2 Arnak S. Dalalyan 1, 2 Renaud Keriven 1, 2 Peter Sturm 3 
1 imagine [Marne-la-Vallée]
LIGM - Laboratoire d'Informatique Gaspard-Monge, CSTB - Centre Scientifique et Technique du Bâtiment, ENPC - École des Ponts ParisTech
3 STEEP - Sustainability transition, environment, economy and local policy
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann
Abstract : A technique for calibrating a network of perspective cameras based on their graph of trifocal tensors is presented. After estimating a set of reliable epipolar geometries, a parameterization of the graph of trifocal tensors is proposed in which each trifocal tensor is encoded by a 4-vector. The strength of this parameterization is that the homographies relating two adjacent trifocal tensors, as well as the projection matrices depend linearly on the parameters. Two methods for estimating these parameters in a global way taking into account loops in the graph are developed. Both methods are based on sequential linear programming. Experiments carried out on several real datasets demonstrate the accuracy of the proposed approach and its efficiency in distributing errors over the whole set of cameras.
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Contributor : Arnak Dalalyan Connect in order to contact the contributor
Submitted on : Friday, June 8, 2012 - 12:06:44 PM
Last modification on : Thursday, April 28, 2022 - 12:34:02 AM

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Jérôme Courchay, Arnak S. Dalalyan, Renaud Keriven, Peter Sturm. On Camera Calibration with Linear Programming and Loop Constraint Linearization. International Journal of Computer Vision, Springer Verlag, 2012, 97 (1), pp.71-90. ⟨10.1007/s11263-011-0483-6⟩. ⟨hal-00705804⟩



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