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Color perception using a single cone type with distributed maximum sensitivity

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Abstract

This paper proposes a model for color perception which accounts for variations in the dimension of the space of perceived colors. The model assumes that there is only one type of cone with only one shape of response curve, but that different cone's response curves differ by translation. It also assumes that the final discrimination system, learned from originally random connections, maximizes discrimination in the normal visual environment. Learning mechanisms are discussed, and the form which the final discrimination system ought to take is plausibly derived. An algorithm for the tristimulus curves is obtained from this model, and it is shown that a good fit of the empirical data can be obtained.

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Literature

  • Bouma, P. J. 1947.Physical Aspects of Color. Gloerlampenfabreiken: N. U. Phillips.

    Google Scholar 

  • Goguen, J. A. “Non-Parametric Pattern Classification by Relative Maxima”Research Report No. 310, Applied Research Laboratory, Sylvania Electronic Systems, Waltham 54, Mass.

  • Granit, R. 1943. “A Physiological Theory of Color Perception”Nature,151, 11–14.

    Google Scholar 

  • Grassmann, H. H. 1854. “On the Theory of Compound Colors.”Philosophical Magazine,vii, 254–264.

    Google Scholar 

  • Ishak, I. G. H. 1952. “Determination of the Tristimulus Values of the Spectrum for Eight Egyptian Observers and One British Observer.”Jour. Opt. Soc. Am.,11, 844–849.

    Article  Google Scholar 

  • Morgan and Stellar. 1950.Physiological Psychology. New York: McGraw-Hill.

    Google Scholar 

  • Polyak, S. 1951.The Vertibrate Visual System. Chicago: University of Chicago Press (Figure 179)

    Google Scholar 

  • Walton, W. E. and R. T. Bormemuer. 1939. “Color Discrimination in Rats.”Jour. Comp. Psych.,28, 417–436.

    Article  Google Scholar 

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This work was supported by the Air Force Systems Command, United States Air Force, Contract No. AF33(657)-8681.

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Goguen, J.A. Color perception using a single cone type with distributed maximum sensitivity. Bulletin of Mathematical Biophysics 26, 121–138 (1964). https://doi.org/10.1007/BF02476833

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  • DOI: https://doi.org/10.1007/BF02476833

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