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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 51, Iss. 12 — Dec. 1, 1961
  • pp: 1373–1379

Linear Models for Contrast Phenomena

JAMES C. BLISS and WILLIAM B. MACURDY  »View Author Affiliations


JOSA, Vol. 51, Issue 12, pp. 1373-1379 (1961)
http://dx.doi.org/10.1364/JOSA.51.001373


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Abstract

Discrete and continuous linear models are defined to describe contrast phenomena such as Mach bands. Two-sided z transforms are used to describe the discrete systems and Fourier transforms are used to describe continuous systems. A psychological model is defined based on the work of v. Békésy on skin and vision which suggests a "neural unit" consisting of an area of sensation surrounded by an area of inhibition. A physiological model is also defined based on the experiments of Hartline et al., describing lateral neural interaction in the eye of Limulus. It is shown that the physiological model is related to the psychological model and that the form of the physiological inhibitory coefficients kp uniquely specify the form of the psychological neural unit hp, and vice versa. Also, by assuming a "blurring" of the stimulus spatial distribution as the excitation distribution of the receptors, a neural unit is obtained from the physiological model which is similar to the psychological neural unit suggested by the experiments of v. Békésy. Illustrative examples are given.

Citation
JAMES C. BLISS and WILLIAM B. MACURDY, "Linear Models for Contrast Phenomena," J. Opt. Soc. Am. 51, 1373-1379 (1961)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-51-12-1373


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References

  1. F. Ratliff, W. J. Miller, and H. K. Hartline, Anns. N. Y. Acad. Sci. 74, 210–222 (1958).
  2. G. v. Békésy, J. Opt. Soc. Am. 50, 1060–1070 (1960).
  3. S. J. Mason and H. J. Zimmermann, Electronic Circuits, Signals, and Systems (John Wiley & Sons, Inc., New York, 1960).
  4. J. R. Ragazzini and G. F. Franklin, Sampled-Data Control Systems, (McGraw-Hill Book Company, Inc., New York, 1958).
  5. R. W. Sittler, Pulsed-Data Systems, notes on a course given at the Massachusetts Institute of Technology (1959–60).
  6. L. V. Ahlfors, Complex Analysis (McGraw-Hill Book Company, Inc., New York, 1953).
  7. G. v. Békésy, Psychol. Revs. 66, 1–22 (1959).
  8. C. McCollough, J. Exptl. Psychol. 49, 141–153 (1955).

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