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Sequence-to-Sequence Self Calibration

  • Lior Wolf
  • Assaf Zomet
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2351)

Abstract

We present a linear method for self-calibration of a moving rig when no correspondences are available between the cameras. Such a scenario occurs, for example, when the cameras have different viewing angles, different zoom factors or different spectral ranges. It is assumed that during the motion of the rig, the relative viewing angle between the cameras remains fixed and is known. Except for the fixed relative viewing angle, any of the internal parameters and any of the other external parameters of the cameras may vary freely. The calibration is done by linearly computing multilinear invariants, expressing the relations between the optical axes of the cameras during the motion. A solution is then extracted from these invariants. Given the affine calibration, the metric calibration is known to be achieved linearly (e.g. by assuming zero skew). Thus an automatic solution is presented for self calibration of a class of moving rigs with varying internal parameters. This solution is achieved without using any correspondences between the cameras, and requires only solving linear equations.

Keywords

Self-Calibration Multi-View Invariants 

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References

  1. 1.
    Y. Caspi, and M. Irani Alignment of Non-Overlapping Sequences In Proceedings of the International Conference on Computer Vision, Vol, II, pages 76–83, Vancouver, Canada, July 2001.Google Scholar
  2. 2.
    F. Dornaika, F. Self-Calibration of a Stereo Rig Using Monocular Epipolar Geometry. In Proceedings of the International Conference on Computer Vision, Vol, II, pages 467–472, Vancouver, Canada, July 2001.Google Scholar
  3. 3.
    O.D. Faugeras. Stratification of three-dimensional vision: projective, affine and metric representations. Journal of the Optical Society of America, 12(3):465–484, 1995.CrossRefGoogle Scholar
  4. 4.
    O.D. Faugeras, Q.T. Luong, and S.J. Maybank. Camera self calibration: Theory and experiments. In Proceedings of the European Conference on Computer Vision, pages 321–334, Santa Margherita Ligure, Italy, June 1992.Google Scholar
  5. 5.
    R. Hartley. Self calibration from multiple views with a rotating camera. In Proceedings of the European Conference on Computer Vision, pages 471–478, Stockholm, Sweden, May 1994.Google Scholar
  6. 6.
    R.I. Hartley and A. Zisserman. Multiple View Geometry. Cambridge University Press, 2000.Google Scholar
  7. 7.
    R. Horaud, G. Csurka, and D. Demirdijian Stereo Calibration from Rigid Motions IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(22):1446–1452, December 2000.Google Scholar
  8. 8.
    M. Pollefeys, R. Koch, and L. Van Gool. Self-calibration and metric reconstruction in spite of varying and unknown camera parameters. In Proceedings of the International Conference on Computer Vision, Bombay, India, January 1998.Google Scholar
  9. 9.
    A. Shashua and L. Wolf. Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points. in Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland.Google Scholar
  10. 10.
    A. Shashua Omni-Rig Sensors: What Can be Done With a Non-Rigid Vision Platform?. In Proc. of the Workshop on Applications of Computer Vision (WACV), Princeton, Oct. 1998.Google Scholar
  11. 11.
    B. Triggs. Autocalibration and the absolute quadric. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pages 609–614, Puerto Rico, June 1997. IEEE Computer Society Press.Google Scholar
  12. 12.
    A. Zisserman, P.A. Beardsley, and I.D. Reid. Metric calibration of a stereo rig. In Proc. of IEEE International Conference in Computer Vision, Vol. I. pages 135–141, Vancouver, Canada, July 2001.Google Scholar
  13. 13.
    A. Zomet, L. Wolf and A. Shashua. Omni-Rig: Linear Self-Recalibration of a Rig with Varying Internal and External Parameters In Proceedings of the International Conference on Computer Vision, Vol. I, pages 135–141, Vancouver, Canada, July 2001.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Lior Wolf
    • 1
  • Assaf Zomet
    • 1
  1. 1.School of Computer Science and EngineeringThe Hebrew UniversityJerusalemIsrael

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