Decoupling Orientation Recovery from Position Recovery with 3D-2D Point Correspondences

  • Authors:
  • Rodrigo L. Carceroni;Christopher M. Brown

  • Affiliations:
  • University of Rochester, Computer Science Department, Rochester, NY 14627, USA. carceron@cs.rochester.edu;University of Rochester, Computer Science Department, Rochester, NY 14627, USA. brown@cs.rochester.edu

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1999

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Abstract

We propose a new algorithm for model-based extrinsic cameracalibration that allows one to separate the recovery of the relativeorientation of the camera from the recovery of its relative position,given a set of at least three correspondences between model and imagepoints. The key idea is to replace each (real) modelpoint whose correspondence is known by two (virtual) model edges, andthen to use the fact that these edges have pairwise intersections in 3Dspace to derive a set of alignment constraints. We provide aproof that the resulting technique is essentially more powerful thanany of the traditional methods for decoupled orientation and positionrecovery based uniquely on line correspondences. We also present adetailed example of a real-life application that benefits from ourwork, namely autonomous navigation using distant visual landmarks. Weuse simulation to show that, for this specific application, ouralgorithm, when compared to similar techniques, is either significantlymore accurate at the same computational cost, or significantly fasterwith roughly the same average-case accuracy.