%0 Journal Article
%A Ronda Prieto, José Ignacio
%A Valdés Morales, Antonio
%A Gallego Bonet, Guillermo
%T Autocalibration with the Minimum Number of Cameras with Known Pixel Shape
%D 2011
%@ 0920-5691 (Print) 1573-1405 (Online)
%U https://hdl.handle.net/20.500.14352/42061
%X We address the problem of the Euclidean upgrading of a projective calibration of a minimal set of cameras with known pixel shape and otherwise arbitrarily varying intrinsic and extrinsic parameters. To this purpose, we introduce as our basic geometric tool the six-line conic variety (SLCV), consisting in the set of planes intersecting six given lines of  3D space in points of a conic. We show that the set of solutions of the Euclidean upgrading problem for three cameras with known pixel shape can be parameterized in a computationally efficient. As a consequence, we propose an algorithm that performs a Euclidean upgrading with 5 ({theoretical minimum}) or   more cameras with the knowledge of the pixel shape as the only constraint.  We provide experiments with real images showing the good performance of the technique.
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