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Journal of Optical Technology

Journal of Optical Technology


  • Vol. 81, Iss. 6 — Jun. 1, 2014
  • pp: 349–355

Threshold contrast of the visual system as a function of the external conditions for various test stimuli

S. I. Lyapunov  »View Author Affiliations

Journal of Optical Technology, Vol. 81, Issue 6, pp. 349-355 (2014)

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A model has been developed of how the threshold contrast of the visual system depends on the external conditions, based on the tremor modulation signal. The model is tested on experimental arrays of the threshold perception of disks, sinusoidal and rectangular grids, the Ricco and Piper laws for spatial summation, and the Bloch–Charpentier and Blondel–Rey laws for the temporal summation of the signal. It is shown that the results converge. The proposed model describes the dependence of the perception threshold on the adaptation brightness, the angular size of the stimulus, and the time that the stimulus is presented. For a specific shape of the stimulus, the model has a simple analytical expression that contains no correction factors or functions, and this makes it convenient for carrying out illumination-engineering calculations and calculating the operating range of optical and optoelectronic devices. A physiological treatment of the model correlates with the selective organization of the sections of the visual cortex.

© 2014 Optical Society of America

OCIS Codes
(330.1800) Vision, color, and visual optics : Vision - contrast sensitivity
(330.4060) Vision, color, and visual optics : Vision modeling
(330.7310) Vision, color, and visual optics : Vision

Original Manuscript: October 21, 2013
Published: June 19, 2014

S. I. Lyapunov, "Threshold contrast of the visual system as a function of the external conditions for various test stimuli," J. Opt. Technol. 81, 349-355 (2014)

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  1. H. R.  Blackwell, “Contrast thresholds of the human eye,” J. Opt. Soc. Am. 36, 624 (1946). [CrossRef]
  2. H. R.  Blackwell, “Neural theories of simple discrimination,” J. Opt. Soc. Am. 53, 129 (1963). [CrossRef]
  3. V. V.  Meshkov, A. B.  Matveev, Physiological Optics and Colorimetry. Fundamentals of Illumination Engineering, part 2 (Énergoatomizdat, Moscow, 1989).
  4. J. M.  Lloyd, ed., Thermal Imaging Systems (Plenum, 1975), Mir, Moscow, 1978.
  5. F. W.  Campbell, R. W.  Gubisch, “Optical quality of the human eye,” J. Physiol. 186, 558 (1966).
  6. Ya. A.  Al’tman, E. V.  Bigdaĭ, I. A.  Vartanyan, V. I.  Govardovskiĭ, V. N.  Golubev, M. A.  Egorova, D. V.  Lychakov, M. A.  Ostrovskiĭ, E. A.  Radionova, V. O.  Samoĭlov, Yu. E.  Shelepin, Biophysics of Sensory Systems (InformMed, St. Petersburg, 2007).
  7. D. H.  Hubel, Eye, Brain, Vision (W. H. Freeman, New York, 1988; Mir, Moscow, 1990).
  8. J. G.  Nicholls, A. R.  Martin, B. G.  Wallace, From Neuron to Brain: A Cellular and Molecular Approach to the Function of the Nervous System (Sinauer Associates, Sunderland, Mass., 1992; URSS, Moscow, 2003).
  9. V. D.  Glezer, I. I.  Tsukkerman, Information and Vision (Akad. Nauk SSSR, Moscow, 1961).
  10. P. P.  Lazarev, Ionic Theory of Excitation (Samizdat, Moscow, 1923).
  11. S. O.  Maĭzel, Transformation of Radiant Energy in the Human Retina. Central Vision (KD Librokom, Moscow, 2010).
  12. V. V.  Meshkov, Foundations of Illumination Engineering, part 1 (Énergiya, Moscow, 1979).
  13. A. L.  Yarbus, The Role of Eye Movements in the Process of Vision (Nauka, Moscow, 1965).
  14. E. M.  Izhikevich, Dynamical Systems in Neuroscience (MIT, Cambridge, 2007), p. 497.
  15. T.  Hoch, S.  Volgushev, A.  Malyshev, K.  Obermayer, M.  Volgushev, “Modulation of the amplitude of c-band activity by stimulus phase enhances signal encoding,” Eur. J. Neurosci. 33, 1223 (2011).
  16. R.  Savoy, J.  McCann, “Visibility of low-spatial-frequency sine-wave targets: Dependence on number of cycles,” J. Opt. Soc Am. 65, 343 (1975).
  17. R.  Savoy, “Low spatial frequencies and low number of cycles at low luminances,” Photogr. Sci. Eng. 22, No. 2, 76 (1978).
  18. P. G. J.  Barten, Contrast Sensitivity of the Human Eye and Its Effects on Image Quality (HV, Knegsel, 1999).
  19. V. M.  Bondarko, M. V.  Danilova, N. N.  Krasil’nikov, L. I.  Leushina, A. A.  Nevskaya, Yu. E.  Shelepin, Three-Dimensional Vision (Nauka, St. Petersburg, 1999).
  20. N. N.  Krasil’nikov, Yu. E.  Shelepin, O. I.  Krasil’nikova, “A spatiotemporal functional model of the primary links of the visual system,” Opt. Zh. 71, No. 7, 24 (2004) [J. Opt. Technol. 71, 438 (2004)].
  21. J.  Herault, Vision: Images, Signals and Neural Networks. Models of Neural Processing in Visual Perception, Vol. 19 of Progress in Neural Processing (World Scientific Publishing, Singapore, 2010).
  22. A.  Rose, Vision: Human and Electronic (Plenum, New York, 1973; Mir, Moscow, 1977).

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