The Absolute Line Quadric and Camera Autocalibration


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Valdés Morales, Antonio and Ronda Prieto, José Ignacio and Gallego Bonet, Guillermo (2004) The Absolute Line Quadric and Camera Autocalibration. International Journal of Computer Vision . ISSN 0920-5691 (Print) 1573-1405 (Online) (In Press)

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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.

Item Type:Article
Subjects:Sciences > Computer science > Artificial intelligence
ID Code:5065
Deposited On:12 Dec 2005
Last Modified:12 Dec 2018 15:13

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