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Invariant object representation and recognition using Lie algebra of perceptual vector fields

  • Jinhui Chao
  • Akira Karasudani
  • Kenji Minowa
Poster Session C: Compression, Hardware & Software, Image Databases, Neural Networks, Object Recognition & Reconstruction
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1311)

Abstract

This paper presents a global method to represent objects invariantly under Euclidean motions using Lie algebra of perceptional vector field of the objects. We focus on the linear Lie sub-algebra of the tangent or normal Lie algebra of objects and use pure local information in these Lie algebra to represent global shapes. It is shown that this simple subalgebra can represent algebraic shapes and a much wider class of non-algebraic shapes as well. In this way, an occlusion-robust and fast recognition method is derived.

Keywords

Object Representation Infinitesimal Generator Global Shape Normal Algebra Normal Vector Field 
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.

References

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    E. J. Pauwels, T. Moons, L. J. Van Gool, P. Kempenaers and A. Oostserlinck, “Recognition of planar shapes under affine distortion” Int. Journal of Computer Vision, 14, 48–51 (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Jinhui Chao
    • 1
    • 2
  • Akira Karasudani
    • 1
    • 2
  • Kenji Minowa
    • 1
    • 2
  1. 1.Chuo UniversityBunkyo-ku, TokyoJapan
  2. 2.Tokyo Institute of TechnologyMeguro-ku, TokyoJapan

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