RT Journal Article T1 Line geometry and camera autocalibration A1 Ronda Prieto, José Ignacio A1 Valdés Morales, Antonio A1 Gallego Bonet, Guillermo AB 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 6x6 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. PB Springer SN 0924-9907 (Print) 1573-7683 (Online) YR 2008 FD 2008-10 LK https://hdl.handle.net/20.500.14352/50499 UL https://hdl.handle.net/20.500.14352/50499 LA eng NO Spanish Administration agency CDTI NO Spanish Administration agency CICYT DS Docta Complutense RD 6 abr 2025