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Closed-form solutions for the Euclidean calibration of a stereo rig

  • G. Csurka
  • D. Demirdjian
  • A. Ruf
  • R. Horaud
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1406)

Abstract

In this paper we describe a method for estimating the internal parameters of the left and right cameras associated with a stereo image pair. The stereo pair has known epipolar geometry and therefore 3-D projective reconstruction of pairs of matched image points is available. The stereo pair is allowed to move and hence there is a collineation relating the two projective reconstructions computed before and after the motion. We show that this collineation has similar but different parameterizations for general and ground-plane rigid motions and we make explicit the relationship between the internal camera parameters and such a collineation. We devise a practical method for recovering four camera parameters from a single general motion or three camera parameters from a single ground-plane motion. Numerous experiments with simulated, calibrated and natural data validate the calibration method.

Keywords

Planar Motion General Motion Rigid Motion Intrinsic Parameter Camera Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • G. Csurka
    • 1
  • D. Demirdjian
    • 1
  • A. Ruf
    • 1
  • R. Horaud
    • 1
  1. 1.INRIA RhÔne-AlpesMontbonnot Saint MartinFrance

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