RT Journal Article T1 3D reconstruction with uncalibrated cameras using the six-line conic variety A1 Carballeira, Pablo A1 Ronda Prieto, José Ignacio A1 Valdés Morales, Antonio AB 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. PB IEEE SN 1522-4880 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/50500 UL https://hdl.handle.net/20.500.14352/50500 LA eng NO 15th IEEE International Conference on Image Processing (ICIP 2008), OCT 12-15, 2008, San Diego, CA DS Docta Complutense RD 4 jul 2025