caa a22 4500 467914842 CHVBK 20180406152859.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s11263-005-3677-y doi (NATIONALLICENCE)springer-10.1007/s11263-005-3677-y The Absolute Line Quadric and Camera Autocalibration [Elektronische Daten] [Antonio Valdés, José Ronda, Guillermo Gallego] Abstract.: We introduce a geometrical object providing the same information as the absolute conic: the absolute line quadric (ALQ). After the introduction of the necessary exterior algebra and Grassmannian geometry tools, we analyze the Grassmannian of lines of P from both the projective and Euclidean points of view. The exterior algebra setting allows then to introduce the ALQ as a quadric arising very naturally from the dual absolute quadric. We fully characterize the ALQ and provide clean relationships to solve the inverse problem, i.e., recovering the Euclidean structure of space from the ALQ. Finally we show how the ALQ turns out to be particularly suitable to address the Euclidean autocalibration of a set of cameras with square pixels and otherwise varying intrinsic parameters, providing new linear and non-linear algorithms for this problem. We also provide experimental results showing the good performance of the techniques. Springer Science + Business Media, Inc., 2006 Valdés Antonio Departamento de Geometría y Topología, Universidad Complutense de Madrid, E-28040, Madrid, Spain aut Ronda José Grupo de Tratamiento de Imágenes, Universidad Politécnica de Madrid, E-28040, Madrid, Spain aut Gallego Guillermo Grupo de Tratamiento de Imágenes, Universidad Politécnica de Madrid, E-28040, Madrid, Spain aut International Journal of Computer Vision Kluwer Academic Publishers 66/3(2006-03-01), 283-303 0920-5691 66:3<283 2006 66 11263 https://doi.org/10.1007/s11263-005-3677-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-005-3677-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Valdés Antonio Departamento de Geometría y Topología, Universidad Complutense de Madrid, E-28040, Madrid, Spain aut NATIONALLICENCE 700 1- Ronda José Grupo de Tratamiento de Imágenes, Universidad Politécnica de Madrid, E-28040, Madrid, Spain aut NATIONALLICENCE 700 1- Gallego Guillermo Grupo de Tratamiento de Imágenes, Universidad Politécnica de Madrid, E-28040, Madrid, Spain aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 66/3(2006-03-01), 283-303 0920-5691 66:3<283 2006 66 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer