Camera Autocalibration and the Calibration Pencil

  • Authors:
  • Antonio Valdés;José Ignacio Ronda

  • Affiliations:
  • Dep. de Geometría y Topología, Universidad Complutense de Madrid, Madrid, Spain E-28040;Dep. de Geometría y Topología, Universidad Complutense de Madrid, Madrid, Spain E-28040

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2005

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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 P5, 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.