Advertisement

Psychological Research

, Volume 52, Issue 2–3, pp 122–127 | Cite as

The brain a geometry engine

  • Koenderink Jan J. 
Article

Summary

According to Kant, spacetime is a form of the mind. If so, the brain must be a geometry engine. This idea is taken seriously, and consequently the implementation of space and time in terms of machines is considered. This enables one to conceive of spacetime as really “embodied.”

Keywords

Geometry Engine 
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. Babaud, J., Witkin, A. P., Baudin, M., & Duda, R. O. (1986). Uniqueness of the gaussian kernel for scale-space filtering.IEEE PAMI, 8, 26–33.Google Scholar
  2. Braitenberg, V. (1984).Vehicles. Cambridge, MA: MIT Press.Google Scholar
  3. Coggins, J. M., Fay, F. S., & Fogarty, K. E. (1986). Development and application of a three-dimensional artificial visual system.Computer Methods and Programs in Biomedicine, 22, 69–77.PubMedGoogle Scholar
  4. Coggins, J. M., & Jain, A. K. (1985). A spatial filtering approach to texture analysis.Pattern Recognition Letters, 3, 195–203.Google Scholar
  5. Descartes, R. (1637).Discours de la méthode.Google Scholar
  6. Hauck, G. (1875).Die subjektive Perspektive und die horizontalen Curvaturen des Dorischen Styls.Google Scholar
  7. Helmholtz, H. von (1896).Handbuch der physiologischen Optik (2nd ed.). Leipzig: Voss.Google Scholar
  8. Hess, R. (1982). Developmental sensory impairment: Amblyopia or tarachopia?Human Neurobiology, 1, 17–29.PubMedGoogle Scholar
  9. Huntington, R. V. (1913). A set of postulates for abstract geometry expressed in terms of the single relation of inclusion.Mathematical Annals, 73, 522–559.Google Scholar
  10. Jones, J. P., & Palmer, L. A. (1987a). The two-dimensional spatial structure of simple receptive fields in cat striate cortex.Journal of Neurophysiology, 58, 1187–1211.PubMedGoogle Scholar
  11. Jones, J. P., & Palmer, L. A. (1987b). An evaluation of the twodimensional Gabor filter model of simple receptive fields in cat striate cortex.Journal of Neurophysiology, 58, 1233–1258.PubMedGoogle Scholar
  12. Kant, I. (1787).Kritik der reinen Vernunft (2nd ed.). Riga: Hartknoch.Google Scholar
  13. Kepler, J. (1604).Ad Vitellionem paralipomena, quibus astronomiae pars optica traditur.Google Scholar
  14. Koenderink, J. J. (1984a). The concept of local sign. In A. J. van Doorn, W. A. van de Grind, & J. J. Koenderink (Eds.)Limits in perception. Utrecht: VNU Science Press.Google Scholar
  15. Koenderink, J. J. (1984b). Simultaneous order in nervous nets from a functional standpoint.Biological Cybernetics, 50, 35–41.PubMedGoogle Scholar
  16. Koenderink, J. J. (1984c). Geometrical structures determined by the functional order in nervous nets.Biological Cybernetics, 50, 43–50.PubMedGoogle Scholar
  17. Koenderink, J. J. (1984d). The structure of images.Biological Cybernetics, 50, 363–370CrossRefGoogle Scholar
  18. Koenderink, J. J. (1988a). Design for a sensorium. In W. von Seelen, G. Shaw, & U. M. Leinhos (Eds.),Organization of neural networks. Structures and models (pp. 185–207). Weinheim: VCH Verlagsgesellschaft.Google Scholar
  19. Koenderink, J. J. (1988b). Operational significance of receptive field assemblies.Biological Cybernetics, 58, 163–171.PubMedGoogle Scholar
  20. Koenderink, J. J., & Richards, W. (1988). Two-dimensional curvature operators.Journal of the Optical Society, A5, 1136 -1141.Google Scholar
  21. Koenderink, J. J.. & van Doom, A. J. (1978). Visual detection of spatial contrast: Influence of location in the visual field, target extent and illuminance level.Biological Cybernetics, 30, 157–167.PubMedGoogle Scholar
  22. Koenderink, J. J., & van Doorn, A. J. (1987). Representation of local geometry in the visual system.Biological Cybernetics, 55, 367–375.PubMedGoogle Scholar
  23. Koenderink, J. J., & van Doorn, A. J. (1988). The basic geometry of a vision system. In R. Trappl (Ed.),Cybernetics and systems 1988 (pp. 481–485). Amsterdam: Kluever Academic Publishers.Google Scholar
  24. Lotze, H. (1884).Mikrokosmos. Leipzig: Hirzel.Google Scholar
  25. Minsky, M. L. (1967).Computation: Finite and infinite machines. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
  26. Misner, C. W., Thorne, K. S., & Wheeler, J. A. (1973).Gravitation. San Francisco: W. H. Freeman.Google Scholar
  27. Poincaré, H. (1902).La science et l'hypothèse. Paris: Flammarion.Google Scholar
  28. Poincaré, H. (1905).La valeur de la science. Paris: Flammarion.Google Scholar
  29. Schouten, J. A. (1954).Ricci- calculus. Berlin, Heidelberg, New York: Springer.Google Scholar
  30. Toet, A., Blom, J., & Koenderink, J. J. (1987a). The construction of a simultaneous functional order in nervous systems. 1. Relevance of signal coincidences in the construction of a functional order.Biological Cybernetics, 57, 115–125.PubMedGoogle Scholar
  31. Toet, A., Blom, J., & Koenderink, J. J. (1987b). The construction of a simultaneous functional order in nervous systems. 11. Computing geometrical structures.Biological Cybernetics, 57, 127–136.PubMedGoogle Scholar
  32. Toet, A., Blom, J., & Koenderink, J. J. (1987c). The construction of a simultaneous functional order in nervous systems. III. The influence of environmental constraints on the resulting functional order.Biological Cybernetics, 57, 331–340.PubMedGoogle Scholar
  33. Toet, A., Blom, J., & Koenderink, J. J. (1988). The construction of a simultaneous functional order in nervous systems. IV. The influence of physical constraints on the resulting functional order.Biological Cybernetics, 58, 275–286.PubMedGoogle Scholar
  34. Young, R. A. (1985). The gaussian derivative theory of spatial vision: Analysis of cortical cell receptive field line-weighing profiles.General Motors Res. Tech. Rep. GMR-4920.Google Scholar
  35. Zucker, S. W., & Hummel, R. A. (1986). Receptive fields and the representation of visual information.Human Neurobiology, 5, 121–128.PubMedGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Koenderink Jan J. 
    • 1
  1. 1.Buys Ballot LaboratoryCC UtrechtThe Netherlands

Personalised recommendations