The Application of Gödel Numbers to Image Analysis and Pattern Recognition

  • K. O’Mara
  • W. Gillespie
  • T. Fancott
  • J. P. J. de Valk
  • H. F. P. v.d. Boogaard
Conference paper
Part of the NATO ASI Series book series (volume 4)

Abstract

Visual pattern recognition [1] and visual thought [2] have been the subject of intense research over the last half century. While we now have some understanding of the mechanisms of visual pattern recognition at the neural level [3,4], the mental processes underlying our ability to classify [5], synthesize [6], perceive [7] and remember [8] images still evades us.

Keywords

Retina Dition Mast 

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References

  1. [1]
    Dodwell, P.C. Visual Pattern Recognition. Holt, Rinehart and Winston, New York, 1979.Google Scholar
  2. [2]
    Arnheim, R. Visual Thinking. University of California Press, Berkeley, 1969.Google Scholar
  3. [3]
    Barlow, H.B., Fatt, P. (Eds.) Vertebrate Photoreception. Academic Press, London, 1977.Google Scholar
  4. [4]
    Ratliff, R. (Ed.) Studies on Excitation and Inhibition in the Retina. The Rockefeller Univ. Press, New York, 1974.Google Scholar
  5. [5]
    McCleary, R.A. (Ed.) Genetic and Experiential Factors in Perception. Scott Foresman and Company, Glenview, Illinois, 1970.Google Scholar
  6. [6]
    Robinson, J.O. The Psychology of Visual Illusion. Hutchinson Univ. Library, London, 1972.Google Scholar
  7. [7]
    Marr, D. Vision. Freeman, San Francisco, 1982.Google Scholar
  8. [8]
    Kohonen, T. Associative Memory. Springer-Verlag, Berlin, 1977.MATHGoogle Scholar
  9. [9]
    McCulloch, W.S. Embodiments of Mind. M.I.T. Press, Cambridge, Massachusetts, 1965.Google Scholar
  10. [10]
    Hopcroft, J.E., Ullman, J.D. Introduction to Automata Theory, Languages and Computation. Addison-Wesley Publishing Co., Massachusetts, 1979.MATHGoogle Scholar
  11. [11]
    Kleene, C.S. Representation of Events in Nerve Nets and Finite Automata. Automata Studies, Princeton Univ. Press. Princeton, 1956.Google Scholar
  12. [12]
    Hebb, D.O. Organization of Behavior. Wiley, New York, 1949.Google Scholar
  13. [13]
    Oguztöreli, M.N., O’Mara, K.S. Modelling and Simulation of Vertebrate Retina: Extended Network. Biol. Cybernetics, 38, pp. 9–17, 1980.CrossRefMATHGoogle Scholar
  14. [14]
    Minsky, M., Papert, S. Perception. M.I.T. Press, Cambridge, Massachusetts, 1969.Google Scholar
  15. [15]
    Julesz, B. Textons, the Elements of Texture Perception, and their Interactions. Nature, 290, pp. 91–97, 1981.CrossRefGoogle Scholar
  16. [16]
    Haig, C.M. Texture Analysis of the Lung Fields in Chest X-Rays, M.Sc. Thesis, Department of Computer Science, Queen’s University, Kingston, Ontario, Canada, 1978.Google Scholar
  17. [17]
    Kuffler, S. Discharge Patterns and Functional Organization of Mammalian Retina. J. of Neurophysiology, 16, pp. 37–68, 1953.Google Scholar
  18. [18]
    Hubel, D.H., Wiesel, T.N. Receptive Field, Binocular Interaction and Functional Architecture in the Cat’s Visual Cortex. J. of Physiology, 160, pp. 106–54, 1962.Google Scholar
  19. [19]
    Freeman, H. On the Encoding of Arbitrary Geometric Configurations. IRE Transactions on Electronic Computers, pp. 260–268, 1969.Google Scholar
  20. [20]
    Motokawa, K. Physiology of Color and Pattern Vision. Igaku Shoin Ltd., Tokyo, 1970.Google Scholar
  21. [21]
    Brady, M. Computational Approaches to Image Understanding. Computing Surveys, 14, 1, pp. 3–72, 1982.CrossRefMathSciNetGoogle Scholar
  22. [22]
    Weyl, H. Algebraic Theory of Numbers. Princeton Univ. Press, Princeton, 1940.Google Scholar
  23. [23]
    Honsberger, R. Mathematical Gems 1. The Mathematical Association of America, 1973.Google Scholar
  24. [24]
    Hofstadter, D. G ödel, Escher and Bach. Basic Books, New York, 1979.Google Scholar
  25. [25]
    Sierpinski, W. A Selection of Problems in the Theory of Numbers. Pergamon Press, New York, 1963.Google Scholar
  26. [26]
    MacWilliams, F.J., Sloane, N.J.A. Pseudo-random Sequences and Arrays. Proc. IEEE, 64, 12, 1715–29, 1976.CrossRefMathSciNetGoogle Scholar
  27. [27]
    Abramowitz, M., Stegun, I.Q. (Eds.) Handbook of Mathematical Functions. Dover Publications, New York, 1964.MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • K. O’Mara
    • 1
  • W. Gillespie
    • 1
  • T. Fancott
    • 1
  • J. P. J. de Valk
    • 2
  • H. F. P. v.d. Boogaard
    • 2
  1. 1.Department of Computer ScienceConcordia UniversityMontrealCanada
  2. 2.Department of Medical Physics & BiophysicsUniversity of NijmegenNijmegenThe Netherlands

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