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International Journal of Computer Vision 97, 1 (2012) 71-90
On Camera Calibration with Linear Programming and Loop Constraint Linearization
Jérôme Courchay 1, 2, Arnak Dalalyan 1, 2, Renaud Keriven 1, 2, Peter Sturm 3, 4
(03/03/2012)

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.
1 :  IMAGINE
CSTB – Ecole des Ponts ParisTech – Université Paris-Est Créteil Val-de-Marne (UPEC)
2 :  Laboratoire d'Informatique Gaspard-Monge (LIGM)
Université Paris-Est Marne-la-Vallée (UPEMLV) – ESIEE – Ecole des Ponts ParisTech – Fédération de Recherche Bézout – CNRS : UMR8049
3 :  Laboratoire Jean Kuntzmann (LJK)
CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
4 :  STEEP (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
INRIA – Université Joseph Fourier - Grenoble I – Laboratoire Jean Kuntzmann – CNRS : UMR5224
Informatique/Vision par ordinateur et reconnaissance de formes