Reference : A New Set of Quartic Trivariate Polynomial Equations for Stratied Camera Self-calibra...
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A New Set of Quartic Trivariate Polynomial Equations for Stratied Camera Self-calibrationunder Zero-Skew and Constant Parameters Assumptions
Habed, Adlane [University of Burgundy, France]
Al Ismaeil, Kassem mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
Fofi, David [University of Burgundy, France]
Computer Vision – ECCV 2012, 12th European Conference on Computer Vision, Florence, Italy, October 7-13, 2012, Proceedings, Part VI
Springer Berlin Heidelberg
Lecture Notes in Computer Science; 7577
12th European Conference on Computer Vision
7 - 13 October
[en] Camera Self-calibration ; Multiple View Geometry
[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.

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