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A model of binocular brightness and binaural loudness perception in humans with general applications to nonlinear summation of sensory inputs

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Abstract

A single neural model is proposed to account for how responses of the two eyes and two ears combine to form the perception of binocular brightness and binaural loudness respectively. It involves nonlinear reciprocal feedback inhibition between left and right channels, followed by linear summation between the channels. Local circuit synaptic interactions are an important source of nonlinearity. The model combines inputs in a manner that approximates vector magnitude models in general. This suggests that the model can be applied to a variety of circumstances beyond the visual and auditory data discussed here.

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References

  • Berglund, B., Berglund, U., Lindvall, T.: Psychological processing of odor mixtures. Psychol. Rev.83, 432–441 (1976)

    Google Scholar 

  • Blake, R., Fox, R.: The psychophysical inquiry into binocular summation. Percept. Psychophys.14, 161–185 (1973)

    Google Scholar 

  • Blake, R., Sloane, M., Fox, R.: Further developments in binocular summation. Percept. Psychophys.30, 266–276 (1981)

    Google Scholar 

  • Buffart, H.J.F.M.: Brightness and contrast. In:Formal theories of visual perception, Leeuwenberg, E.L.J., Buffart, H.J.F.M. (eds.). New York: Wiley 1978, pp. 171–199

    Google Scholar 

  • Cohn, T.E., Lasley, D.J.: Binocular vision: two possible central interactions between signals from two eyes. Science192, 561–563 (1976)

    Google Scholar 

  • Curtis, D.W., Rule, S.J.: Binocular processing of brightness information: a vector sum model. J. Exp. Psychol. Hum. Percept. Performance4, 132–143 (1978)

    Google Scholar 

  • De Silva, H.R., Bartley, S.H.: Summation and subtraction in binocular perception. Br. J. Psychol.20, 241–250 (1930)

    Google Scholar 

  • de Weert, C.M.M., Levelt, W.J.M.: Binocular brightness combinations: additive and non-additive aspects. Percept. Psychophys.15, 551–562 (1974)

    Google Scholar 

  • Dierks, K.J., Jefress, L. A.: Interaural phase and the absolute threshold for tone. J. Acoust. Soc. Am.34, 981–984 (1962)

    Google Scholar 

  • Durlach, N.I., Colburn, H.S.: Binaural phenomena. In:Handbook of perception, Vol. IV, Carterette, E.C., Friedman, M.P. (eds.) New York: Academic Press 1978, pp. 365–466

    Google Scholar 

  • Engel, G.R.: The autocorrelation function and binocular brightness mixing. Vision Res.9, 1111–1130 (1969)

    Google Scholar 

  • Fry, G.A., Bartley, S.H.: The brilliance of an object seen binocularly. Am. J. Opthal.16, 687–693 (1933)

    Google Scholar 

  • Garner, W.R.: On the lambda function, masking, and the loudness of multicomponent tones. J. Acoust. Soc. Am.31, 602–607 (1959)

    Google Scholar 

  • Goldberg, J.M.: Physiological studies of auditory nuclei of the pons. In:Handbook of sensory physiology, Vol. V/2, Keidel, W.D., Neff, W.D. (eds.). New York: Academic Press 1975, pp. 109–144

    Google Scholar 

  • Guth, S.L., Massof, R.W., Benzschawel, T.: Vector model for normal and dichromatic color vision. J. Opt. Soc. Am.70, 197–212 (1980)

    Google Scholar 

  • Helmholtz, H. von:Treatise on physiological optics. Opt. Soc. Am. (1924) (translated from German edition of 1909)

  • Hirsh, I.J.: Binaural summation — a century of investigation. Psychol. Bull.45, 193–206 (1948)

    Google Scholar 

  • Hubel, D.H., Wiesel, T.N.: Receptive fields and functional architecture of monkey striate cortex. J. Physiol. London195, 215–243 (1968)

    Google Scholar 

  • Irwin, R.J.: Binaural summation of thermal noises of equal and unequal power in each ear. Am. J. Psychol.78, 57–65 (1965)

    Google Scholar 

  • Keen, K.: Preservation of constant loudness with interaural amplitude asymmetry. J. Acoust. Soc. Am.52, 1193–1196 (1972)

    Google Scholar 

  • Legge, G.E., Rubin, G.S.: Binocular interactions in suprathreshold contrast perception. Percept. Psychophys.30, 49–61 (1981)

    Google Scholar 

  • Levelt, W.J.M.: Binocular brightness averaging and contour information. Br. J. Psychol.56, 1–13 (1965a)

    Google Scholar 

  • Levelt, W.J.M.:On binocular rivalry. Soesterberg, The Netherlands: Institute for Perception RVO-TNO 1965b

  • Levelt, W.J.M., Riemersma, J.B., Bunt, A.A.: Binaural additivity of loudness. Br. J. Math. Stat. Psychol.25, 51–68 (1972)

    Google Scholar 

  • Macleod, D.I.A.: The Schrödinger equation in binocular brightness combination. Perception1, 321–324 (1972)

    Google Scholar 

  • Marks, L.E.: Binaural summation of the loudness of pure tones. J. Acoust. Soc. Am.64, 107–113 (1978)

    Google Scholar 

  • Poggio, T., Torre, V.: A new approach to synaptic interactions. In:Lecture notes in biomathematics, Vol. 21. Theoretical approaches to complex systems, Heim, R., Palm, G. (eds.) Berlin, Heidelberg, New York: Springer 1978, pp. 89–115

    Google Scholar 

  • Quick, R.F.: A vector magnitude model of contrast detection. Kybernetik16, 65–67 (1974)

    Google Scholar 

  • Ratliff, F.:Mach bands: quantitative studies of neural networks in the retina. San Fransisco: Holden-Day 1965

    Google Scholar 

  • Reynolds, G.S., Stevens, S.S.: Binaural summation of loudness. J. Acoust. Soc. Am.32, 1337–1344 (1960)

    Google Scholar 

  • Rodieck, R.W., Dreher, B.: Visual repression from non-dominant eye in the lateral geniculate nucleus: a comparison of cat and monkey. Exp. Brain Res.35, 465–477 (1979)

    Google Scholar 

  • Sanderson, K.J., Bishop, P.O., Darian-Smith, I.: The properties of the binocular receptive fields of lateral geniculate neurons. Exp. Brain Res.13, 178–207 (1971)

    Google Scholar 

  • Schmitt, F.O., Dev, P., Smith, B.H.: Electrotonic processing of information by brain cells. Science193, 114–120 (1976)

    Google Scholar 

  • Sherrington, C.S.:The integrative action of the nervous system. New Haven: Yale University Press 1906

    Google Scholar 

  • Singer, W.: Inhibitory binocular interactions in the lateral geniculate body of the cat. Brain Res.18, 165–170 (1970)

    Google Scholar 

  • Sugie, N.: Neural models of brightness perception and retinal rivalry in binocular vision. Biol. Cybern.43, 13–21 (1982)

    Google Scholar 

  • Takeuchi, A.: Junctional transmission. I. Postsynaptic mechanisms. In:Handbook of physiology, Sect. 1, Vol. 1, Kandel, E.R. (ed.), Bethesda, MD: Am. Physiol. Soc. 1977, pp. 295–327

    Google Scholar 

  • Thorn, R., Boynton, R.M.: Human binocular summation at absolute threshold. Vision Res.14, 445–458 (1974)

    Google Scholar 

  • Torre, V., Poggio, T.: A synaptic mechanism possibly underlying directional selectivity to motion. Proc. R. Soc. London B202, 409–416 (1978)

    Google Scholar 

  • Treisman, M., Irwin, R.J.: Auditory intensity discriminal scale. I. Evidence derived from binaural intensity summation. J. Acoust. Soc. Am.42, 586–592 (1967)

    Google Scholar 

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Lehky, S.R. A model of binocular brightness and binaural loudness perception in humans with general applications to nonlinear summation of sensory inputs. Biol. Cybernetics 49, 89–97 (1983). https://doi.org/10.1007/BF00320389

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