International Journal of Computer Vision

, Volume 10, Issue 1, pp 67–84 | Cite as

Interpretation of conic motion and its applications

  • Wu Liu
  • Kenichi Kanatani


The indeterminacy of conic motion is analyzed in terms of Lie group theory. It is shown that an image motion of a conic is associated with a group ofinvisible motions that do not cause a visible change of the conic. All such groups are isomorphic to the group associated with a special conic called thestandard circle, for which the group of invisible motions is the (three-dimensional)Lorentz group. Similar results are obtained forinvisible optical flows. Finally, our analysis is extended toconic stereo: the 3-D position and orientation of a conic in the scene are computed from two projections. This algorithm also works with one camera if a circular pattern is projected from a light source.


Image Processing Artificial Intelligence Light Source Computer Vision Group Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Wu Liu
    • 1
  • Kenichi Kanatani
    • 1
  1. 1.Department of Computer ScienceGunma UniversityKiryu, GunmaJapan

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