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Camera Autocalibration and the Calibration Pencil

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Abstract

We 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 P 5, which is characterized. We describe some of its most relevant properties for the camera autocalibration problem. Finally, we illustrate the applicability of the theory proposing a linear algorithm for the metric upgrading of a projective calibration of a set of ten or more cameras with varying parameters and known skew and aspect ratio.

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Authors and Affiliations

  1. Dep. de Geometría y Topología, Universidad Complutense de Madrid, E-28040, Madrid, Spain

    Antonio Valdés & José Ignacio Ronda

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  1. Antonio Valdés
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  2. José Ignacio Ronda
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Valdés, A., Ronda, J.I. Camera Autocalibration and the Calibration Pencil. J Math Imaging Vis 23, 167–174 (2005). https://doi.org/10.1007/s10851-005-6464-z

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  • DOI: https://doi.org/10.1007/s10851-005-6464-z

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