Plane-based camera self-calibration by metric rectification of images

  • Authors:
  • J. F. Menudet;J. M. Becker;T. Fournel;C. Mennessier

  • Affiliations:
  • Laboratoire Hubert Curien, UMR CNRS 5516, Université Jean Monnet, 18, rue Pr Benoít Lauras, 42000 Saint-Etienne, France;Laboratoire Hubert Curien, UMR CNRS 5516, Université Jean Monnet, 18, rue Pr Benoít Lauras, 42000 Saint-Etienne, France;Laboratoire Hubert Curien, UMR CNRS 5516, Université Jean Monnet, 18, rue Pr Benoít Lauras, 42000 Saint-Etienne, France;Laboratoire Hubert Curien, UMR CNRS 5516, Université Jean Monnet, 18, rue Pr Benoít Lauras, 42000 Saint-Etienne, France

  • Venue:
  • Image and Vision Computing
  • Year:
  • 2008

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Abstract

Plane-based self-calibration aims at the computation of camera intrinsic parameters from homographies relating multiple views of the same unknown planar scene. This paper proposes a straightforward geometric statement of plane-based self-calibration, through the concept of metric rectification of images. A set of constraints is derived from a decomposition of metric rectification in terms of intrinsic parameters and planar scene orientation. These constraints are then solved using an optimization framework based on the minimization of a geometrically motivated cost function. The link with previous approaches is demonstrated and our method appears to be theoretically equivalent but conceptually simpler. Moreover, a solution dealing with radial distortion is introduced. Experimentally, the method is compared with plane-based calibration and very satisfactory results are obtained. Markerless self-calibration is demonstrated using an intensity-based estimation of the inter-image homographies.