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Line geometry and camera autocalibration

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Ronda Prieto, José Ignacio and Valdés Morales, Antonio and Gallego Bonet, Guillermo (2008) Line geometry and camera autocalibration. Journal of Mathematical Imaging and Vision, 32 (2). pp. 193-214. ISSN 0924-9907 (Print) 1573-7683 (Online)

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Official URL: http://link.springer.com/content/pdf/10.1007%2Fs10851-008-0095-0


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Abstract

We 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 terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix operations, and an equally direct computation of a Euclidean-upgrading homography from the AQC. We also completely characterize the 6x6 matrices acting on lines which are induced by a spatial homography. Several algorithmic possibilities arising from the AQC are systematically explored and analyzed in terms of efficiency and computational cost. Experiments include 3D reconstruction from real images.


Item Type:Article
Uncontrolled Keywords:camera autocalibration; varying parameters; absolute quadratic complex
Subjects:Sciences > Computer science > Artificial intelligence
ID Code:20245
Deposited On:05 Mar 2013 10:08
Last Modified:12 Dec 2018 15:13

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