Another Way of Looking at Plane-Based Calibration: The Centre Circle Constraint

  • Pierre Gurdjos
  • Alain Crouzil
  • René Payrissat
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2353)


The plane-based calibration consists in recovering the internal parameters of the camera from the views of a planar pattern with a known geometric structure. The existing direct algorithms use a problem formulation based on the properties of basis vectors. They minimize algebraic distances and may require a ‘good’ choice of system normalization. Our contribution is to put this problem into a more intuitive geometric framework. A solution can be obtained by intersecting circles, called Centre Circles, whose parameters are computed from the world-to-image homographies. The Centre Circle is the camera centre locus when planar figures are in perpective correspondence, in accordance with a Poncelet’s theorem. An interesting aspect of our formulation, using the Centre Circle constraint, is that we can easily transform the cost function into a sum of squared Euclidean distances. The simulations on synthetic data and an application with real images confirm the strong points of our method.


Calibration Homography Planar Scene Multiple View Geometry Poncelet 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Pierre Gurdjos
    • 1
  • Alain Crouzil
    • 1
  • René Payrissat
    • 1
  1. 1.IRIT-TCIUniversité Paul SabatierToulouse Cedex 4France

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