A General Algorithm to Recover External Camera Parameters from Pairwise Camera Calibrations

  • Authors:
  • Jaume Vergés-Llahí;Toshikazu Wada

  • Affiliations:
  • Dept. of Intelligent Robotics & Communication Lab's, ATR International, Kyoto, Japan 619-0288;Dept. of Computer & Communication Science, Wakayama University, Wakayama, Japan 640-8510

  • Venue:
  • ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
  • Year:
  • 2008

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Abstract

This paper presents a general constructive algorithm to recover external camera parameters from a set of pairwise partial camera calibrations embedded in the structure named Camera Dependency Graph(CDG) [1] that encompasses both the feasibility and the reliability of each calibration. An edge in CDG and its weight account for the existence and for the quality of the essential matrix between the two views connected by it, respectively. Any triplet of cameras sharing visible points forms a triangle in a CDG, which permits to compute the relative scale between any two of its edges. The algorithm first selects from CDG the set of feasiblepaths being the shortest ones in terms of reliability that also are connected by a sequence of triangles. The global external parameters of the arrangement of cameras are computed in a process in two steps that aggregates partial calibrations, represented by triangles, along the paths connecting pairs of views taking into account the relative scales between triangles until recovering the parameters between the extremes of each path. Finally, the scales of the whole set of paths are referred to one canonical value corresponding to the edge in the CDG working as the global scale. Initial experimental results on simulated data demonstrate the usefulness and accuracy of such scheme that can be applied either alone or as the initial approximation for other calibration methods.