Epipole and Fundamental Matrix Estimation Using the Virtual Parallax Property

Boubakeur Boufama 1, 2 Roger Mohr 1, 2
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : The paper addresses the problem of computing the fundamental matrix which describes a geometric relationship between a pair of stereo images: the epipolar geometry. We propose a novel method based on virtual parallax. Instead of computing directly the 3x3 fundamental matrix, we compute a homography with one epipole position, and show that this is equivalent to computing the fundamental matrix. Simple equations are derived by reducing the number of parameters to estimate. As a consequence, we obtain an accurate fundamental matrix of rank two with a stable linear computation. Experiments with simulated and real images validate our method and clearly show the improvement over existing methods.
Type de document :
Communication dans un congrès
5th International Conference on Computer Vision (ICCV '95), Jun 1995, Cambridge, United States. IEEE Computer society, pp.1030--1036, 1995, 〈http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=466821〉. 〈10.1109/ICCV.1995.466821〉
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https://hal.inria.fr/inria-00548391
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Soumis le : lundi 20 décembre 2010 - 08:44:19
Dernière modification le : mercredi 11 avril 2018 - 01:54:55

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Boubakeur Boufama, Roger Mohr. Epipole and Fundamental Matrix Estimation Using the Virtual Parallax Property. 5th International Conference on Computer Vision (ICCV '95), Jun 1995, Cambridge, United States. IEEE Computer society, pp.1030--1036, 1995, 〈http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=466821〉. 〈10.1109/ICCV.1995.466821〉. 〈inria-00548391〉

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