%0 Journal Article
%A Carballeira, Pablo
%A Ronda Prieto, José Ignacio
%A Valdés Morales, Antonio
%T 3D reconstruction with uncalibrated cameras using the six-line conic variety
%D 2008
%@ 1522-4880
%U https://hdl.handle.net/20.500.14352/50500
%X We present new algorithms for the recovery of the Euclidean structure from a projective calibration of a set of cameras with square pixels but otherwise arbitrarily varying intrinsic and extrinsic parameters. Our results, based on a novel geometric approach, include a closed-form solution for the case of three cameras and two known vanishing points and an efficient one-dimensional search algorithm for the case of four cameras and one known vanishing point. In addition, an algorithm for a reliable automatic detection of vanishing points on the images is presented. These techniques fit in a 3D reconstruction scheme oriented to urban scenes reconstruction. The satisfactory performance of the techniques is demonstrated with tests on synthetic and real data.
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