Mirrors in motion: epipolar geometry and motion estimation

@article{Geyer2003MirrorsIM,
  title={Mirrors in motion: epipolar geometry and motion estimation},
  author={Christopher Geyer and Kostas Daniilidis},
  journal={Proceedings Ninth IEEE International Conference on Computer Vision},
  year={2003},
  pages={766-773 vol.2}
}
  • Christopher Geyer, Kostas Daniilidis
  • Published in
    Proceedings Ninth IEEE…
    2003
  • Mathematics, Computer Science
  • In this paper we consider the images taken from pairs of parabolic catadioptric cameras separated by discrete motions. Despite the nonlinearity of the projection model, the epipolar geometry arising from such a system, like the perspective case, can be encoded in a bilinear form, the catadioptric fundamental matrix. We show that all such matrices have equal Lorentzian singular values, and they define a nine-dimensional manifold in the space of 4 /spl times/ 4 matrices. Furthermore, this… CONTINUE READING

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