Advertisement

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

Binary Image Ordinal Scale Unique Pattern Rotational Transformation Visual Texture 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations