A New Set of Quartic Trivariate Polynomial Equations for Stratified Camera Self-calibration under Zero-Skew and Constant Parameters Assumptions

Adlane Habed¹, Kassem Al Ismaeil², and David Fofi¹

¹Le2i UMR CNRS 6306, University of Bourgogne, Auxerre/Le Creusot, France
Adlane.Habed@u-bourgogne.fr
David.Fofi@u-bourgogne.fr

²Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg
Kassem.Alismaeil@uni.lu

Abstract. 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.

Keywords: Camera Self-calibration, Multiple View Geometry

LNCS 7577, p. 710 ff.

Full article in PDF | BibTeX

lncs@springer.com
© Springer-Verlag Berlin Heidelberg 2012