Title: Nonlinear Estimation of the Fundamental Matrix with Only Five Unknowns
Abstract: Two images captured by an uncalibrated binocular vision system are related by the epipolar geometry. This geometry is completely characterized by a 3 x 3 matrix, called the fundamental matrix, which can be obtained from a set of point correspondences. This paper presents a new nonlinear method to calculate the fundamental matrix. To impose the rank two restriction, the method uses a quite simple parametrization. It has the advantage of having a reduced search space, with only five unknowns. Experimental tests demonstrated that the new method obtain accurate results for a large set of point correspondences. In this case, the quality of the estimated matrix is as good as the obtained with other nonlinear methods. However, the results are obtained at a low computational cost and with rapid convergence.
Publication Year: 2014
Publication Date: 2014-06-01
Language: en
Type: article
Indexed In: ['crossref']
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