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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 geomet[...]texto impreso
Ronda Prieto, José Ignacio ; Valdés Morales, Antonio | 2006-01-24Given a pair of cameras with identical intrinsic parameters and known pixel shape, there exists a uniparametric set of possible 3D Euclidean reconstructions. We provide for this set a closed-form explicit parameterization. Therefore, gi[...]texto impreso
Ronda Prieto, José Ignacio ; Valdés Morales, Antonio ; Gallego Bonet, Guillermo | 2005-08-02We present new algorithms for the recovery of the Euclidean structure from a projective calibration of a set of cameras of known pixel shape but otherwise arbitrarily varying intrinsic and extrinsic parameters. The algorithms have a geometrical [...]texto impreso
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 geo[...]texto impreso
We describe a new algorithm for the obtainment of the affine and Euclidean calibration of a camera under general motion. The algorithm exploit the relationships of the horopter curves associated to each pair of cameras with the plane at infinity[...]texto impreso
Valdés Morales, Antonio ; Ronda Prieto, José Ignacio | 2005-03We study the geometric object given by the set of lines incident with the absolute conic. We see that this object is given by a pencil of quadrics of P5, which is characterized. We describe some of its most relevant properties for the camera aut[...]texto impreso
We present new results on the Absolute Line Quadric (ALQ), the geometric object representing the set of lines that intersect the absolute conic. We include new techniques for the obtainment of the Euclidean structure that lead to an efficient al[...]texto impreso
We show how the classical theory of projective conics provides new insights and results on the problem of 3D reconstruction from two images taken with uncalibrated cameras. The close relationship between Kruppa equations and Poncelet's Porism is[...]texto impreso
We address the problem of the recovery of Euclidean structure of a projectively distorted n-dimensional space from the knowledge of segment lengths. This problem is relevant, in particular, for Euclidean reconstruction with uncalibrated cameras,[...]texto impreso
Ronda Prieto, José Ignacio ; Valdés Morales, Antonio ; Gallego Bonet, Guillermo | Springer | 2008-10We 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 te[...]texto impreso
Gallego Bonet, Guillermo ; Ronda Prieto, José Ignacio ; Valdés Morales, Antonio ; García, Narciso | IEEE | 2007Given a projective reconstruction of a 3D scene, we address the problem of recovering the Euclidean structure of the scene in a recursive way. This leads to the application of Kalman filtering to the problem of camera autocalibration and to new [...]texto impreso
Valdés Morales, Antonio ; Ronda Prieto, José Ignacio ; Gallego Bonet, Guillermo | 2004-04-04We 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 lin[...]
