Skip to main content
Log in

Visual transfer characteristics from Mach band measurements

  • Published:
Kybernetik Aims and scope Submit manuscript

Abstract

Whenever the eye views a spatially-varying gradient of luminance, the Mach bands arise, causing a subjective distribution different from the luminance distribution of the field of view. This phenomenon has been used for the determination of the contrast-transfer function of the visual system when working under normal viewing conditions, i.e., operating in a region where both luminance and detail size are well above threshold. The Mach bands have been measured by making subjective photometric comparisons and the data have been analyzed under the assumption of linearity of response to input. The hypothesis that the visual system may be treated as an approximately linear link in the imaging chain is satisfied best when the luminances are plotted logarithmically. The possibility of this type of investigation is discussed. The result found is compared with apparent subjective contrast measurements of a sine-wave spatial luminance distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bryngdahl, O.: Eine neue Methode zur Bestimmung der Übertragungseigenschaften des Gesichtssinnes. Naturwissenschaften 51, 177 (1964).

    Google Scholar 

  • De Mott, D.: Direct measures of the retinal image. J. opt. Soc. Amer. 49, 571 (1959).

    Google Scholar 

  • Flamant, F.: Structure de l'image rétinienne. Rev. opt. 34, 433 (1954).

    Google Scholar 

  • Granit, R.: Receptors and sensory perception, chaps. 1 and 8. New Haven: Yale University Press 1955.

    Google Scholar 

  • Hartline, H. K., and F. Ratliff: Spatial summation of inhibitory influences in the eye of Limulus, and the mutual interaction of receptor units. J. gen. Physiol. 41, 1049 (1958).

    Google Scholar 

  • Keesey, Ü. T., and L. A. Riggs: Visibility of Mach bands with imposed motions of the retinal image. J. opt. Soc. Amer. 52, 719 (1962).

    Google Scholar 

  • Krauskopf, J.: Light distribution in human retinal images. J. opt. Soc. Amer. 52, 1046 (1962).

    Google Scholar 

  • Lowry, E. M., and J. J. De Palma: Sine-wave response of the visual system. I. The Mach phenomenon. J. opt. Soc. Amer. 51, 740 (1961).

    Google Scholar 

  • Marimont, R. B.: Linearity and the Mach phenomenon. J. opt. Soc. Amer. 53, 400 (1963).

    Google Scholar 

  • Menzel, E.: Der Gesichtssinn als linearer Übertragungskanal und die Machschen Streifen. Naturwissenschaften 46, 316 (1959).

    Google Scholar 

  • Ooue, S.: Response function of the eye. J. appl. Phys. (Japan) 28, 531 (1959).

    Google Scholar 

  • Ratliff, F., W. H. Miller, and H. K. Hartline: Neural interaction in the eye and the integration fo receptor activity. Ann. N.Y. Acad. Sci. 74, 210 (1958).

    Google Scholar 

  • Riggs, L. A., F. Ratliff, and Ü. T. Keesey: Appearance of Mach bands with a motionless retinal image. J. opt. Soc. Amer. 51, 702 (1961).

    Google Scholar 

  • Schadé, O. H.: Optical and photoelectric analog of the eye. J. opt. Soc. Amer. 46, 721 (1956).

    Google Scholar 

  • Westheimer, G., and F. W. Campbell: Light distribution in the image formed by the living human eye. J. opt. Soc. Amer. 52, 1040 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bryngdahl, O. Visual transfer characteristics from Mach band measurements. Kybernetik 2, 71–77 (1964). https://doi.org/10.1007/BF00288560

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00288560

Keywords

Navigation