A Factorization Based Self-Calibration for Radially Symmetric Cameras

  • Authors:
  • Srikumar Ramalingam;Peter Sturm;Edmond Boyer

  • Affiliations:
  • INRIA Rhone-Alpes, France/ University of California, Santa Cruz, USA;INRIA Rhone-Alpes, France;INRIA Rhone-Alpes, France

  • Venue:
  • 3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
  • Year:
  • 2006

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Abstract

The paper proposes a novel approach for planar self-calibration of radially symmetric cameras. We model these camera images using notions of distortion center and concentric distortion circles around it. The rays corresponding to pixels lying on a single distortion circle form a right circular cone. Each of these cones is associated with two unknowns; optical center and focal length (opening angle). In the central case, we consider all distortion circles to have the same optical center, whereas in the non-central case they have different optical centers lying on the same optical axis. Based on this model we provide a factorization based self-calibration algorithm for planar scenes from dense image matches. Our formulation provides a rich set of constraints to validate the correctness of the distortion center. We also propose possible extensions of this algorithm in terms of non-planar scenes, non-unit aspect ratio and multi-view constraints. Experimental results are shown.