2026-06-29T02:44:13Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/522652023-08-26T10:24:21Zcom_20.500.14352_14col_20.500.14352_15

The Absolute Line Quadric and Camera Autocalibration Valdés Morales, Antonio Ronda Prieto, José Ignacio Gallego Bonet, Guillermo Inteligencia artificial (Informática) 1203.04 Inteligencia Artificial 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 P3 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas FALSE inpress 2023-06-20T12:42:01Z 2023-06-20T12:42:01Z 2004-04-04 journal article https://hdl.handle.net/20.500.14352/52265 0920-5691 (Print) 1573-1405 (Online) eng open access application/pdf