%0 Journal Article
%@ 0924-9907
%A Ronda Prieto, José Ignacio
%A Valdés Morales, Antonio
%A Gallego Bonet, Guillermo
%D 2008
%F upm:2350
%I Springer Verlag
%J Journal Of Mathematical Imaging And Vision
%K Camera autocalibration, varying parameters, absolute quadratic complex
%N 2
%P 193-214
%T Line geometry and camera autocalibration
%U http://oa.upm.es/2350/
%V 32
%X We provide a completely new rigorous matrix formulation of the absolute quadratic complex (AQC), given by the set of lines intersecting the absolute conic. The new results include closed-form expressions for the camera intrinsic parameters in terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix operations, and an equally direct computation of a Euclidean-upgrading homography from the AQC. We also completely characterize the 6×6 matrices acting on lines which are induced by a spatial homography. Several algorithmic possibilities arising from the AQC are systematically explored and analyzed in terms of efficiency and computational cost. Experiments include 3D reconstruction from real images.
%Z Tratamiento de Imágenes GTI