Degenerate Cases and Closed-form Solutions for Camera Calibration with One-Dimensional Objects

  • Authors:
  • Pär Hammarstedt;Peter Sturm;Anders Heyden

  • Affiliations:
  • Malmo University;INRIA Rhône-Alpes;Malmo University

  • Venue:
  • ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
  • Year:
  • 2005

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Abstract

Camera Calibration with one-dimensional objects is based on an algebraic constraint on the image of the absolute conic. We will give an alternative derivation to this constraint, allowing a geometrical interpretation. From this we derive the degenerate cases, or critical motions, where the calibration algorithm will fail. We also show that constraints on the intrinsic parameters lead to simplified closed-form solutions and a reduced set of critical motions. A simulation and a real data experiment is performed to evaluate the accuracy of the calibration result for motions close to being critical.