2026-06-27T10:19:43Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/522652023-08-26T10:24:21Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Valdés Morales, Antonio
author
Ronda Prieto, José Ignacio
author
Gallego Bonet, Guillermo
2023-06-20T12:42:01Z
2023-06-20T12:42:01Z
2004-04-04
0920-5691 (Print) 1573-1405 (Online)
https://hdl.handle.net/20.500.14352/52265
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.
eng
The Absolute Line Quadric and Camera Autocalibration
journal article
URL
https://docta.ucm.es/bitstreams/bd2fa350-f1d7-413e-ae5b-a8d8e088d47a/download
File
MD5
a2f449b434d55534b0311b16f94f5318
267115
application/pdf
IJCV2004_LAST.pdf