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]
2 LIGM - Laboratoire d'Informatique Gaspard-Monge
3 STEEP - Sustainability transition, environment, economy and local policy

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.

Domaines: Informatique [cs]; Vision par ordinateur et reconnaissance de formes [cs.CV]

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