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A Cortical Network Model for Early Vision Processing

  • P. Møller
  • M. Nylén
  • J. A. Hertz
Conference paper
Part of the Springer Study Edition book series (volume 41)

Abstract

We present an isotropic neural network model for processing by layer IVc of the primate primary visual cortex. It describes how this layer can reconstruct fine local details in an image which have been lost in the low-capacity retinal-LGN pathway, while at the same time narrowing the effective spatial-frequency bandwidth of the response to sinusoidal patterns. We also investigate the circumstances under which such a network can act as an elementary feature extractor by responding preferentially to striped, checked or other high-symmetry patterns. We find that the model can act in something like this way in a particular region of its parameter space, but that such behaviour is incompatible with the reconstruction of local detail.

Keywords

Triangular Lattice Interaction Function Hexagonal Symmetry Ising Spin Excitation Pattern 
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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References

  1. 1.
    D. H. Hubel and T. N. Wiesel, Proc. Roy. Soc. B 198 1 (1977)CrossRefGoogle Scholar
  2. 2.
    G. Ermentrout and J. D. Cowan, Biol. Cybernetics 34 137 (1979)CrossRefMathSciNetMATHGoogle Scholar
  3. 3.
    J. D. Cowan, Int. J. Quantum Chem. 22 1059 (1982)CrossRefGoogle Scholar
  4. 4.
    C. von der Malsburg and J. D. Cowan, Biol. Cybernetics 45 49 (1982)CrossRefGoogle Scholar
  5. 5.
    H.B. Barlow, Proc. Roy. Soc. B 212 1 (1981)CrossRefGoogle Scholar
  6. 6.
    D. Marr, Vision ,W. H. Freeman, San Francisco, 1982Google Scholar
  7. 7.
    J. A. Hertz, G. Grinstein and S. A. Solla, in Neural Networks for Computing ,John S. Denker, ed., AIP Conf. Proc. 151 212 (1986)Google Scholar
  8. 7a.
    Heidelberg Colloquium on Glassy Dynamics ,J. L. van Hemmen and I. Morgenstern, eds. (Springer-Verlag, Heidelberg), 1987Google Scholar
  9. 8.
    J. Hopfield, Proc. Nat. Acad. Sci. USA 81 3088 (1984)CrossRefGoogle Scholar
  10. 9.
    M. Nylén, H Montén, G Orädd, and J. A. Hertz (unpublished)Google Scholar
  11. 10.
    S. A. Brazovskii, JETP 41 85 (1975)Google Scholar
  12. 11.
    G. Orban, Neuronal Operations in the Visual Cortex ,(Springer Verlag,-Heidelberg) 1984.Google Scholar
  13. 12.
    M. J. Hawken and A. J. Parker, Exp. Brain Res. 54 367 (1984)CrossRefGoogle Scholar
  14. 13.
    R. Shapley and P. Lennie, Ann. Rev. Neurosci. 8 547 (1985)CrossRefGoogle Scholar
  15. 14.
    T. Kohonen, Biol. Cybernetics 43 59 (1982)CrossRefMathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • P. Møller
    • 1
  • M. Nylén
    • 2
  • J. A. Hertz
    • 2
  1. 1.Niels Bohr InstituteUniversity of CopenhagenDenmark
  2. 2.NorditaCopenhagenDenmark

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