Skip to main content
Log in

Asymmetries in the Machband phenomena

  • Published:
Kybernetik Aims and scope Submit manuscript

Abstract

The Mach bands are directly related to the size and the shape of on-center off-surround neural units in human vision. The effects of various stimulus parameters were studied on both bright and dark bands of equal plateau intensities. At low overall intensities, the dark band increases markedly in width, while the bright band does not. However, the bandwidth is more affected by the brightness slope, than by the plateau intensity per se. In this case, both bands vary approximately linearly and inversely with the log of the slope. The bright bands are slightly wider (4′) than the dark bands, for matched intensities. Both bands almost double in width with only a ±30′ para-foveal fixation. Optical blur enlarges the bands as predicted from the spread function. A comparable enlarging effect found with pupil size increase is not so readily understood. The apparent centers of the bright bands are positioned significantly more asymmetrically between the two edges than are the dark band centers. Eccentric neural units are considered as possible explanations for some of these non-linearities.

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

  • Baumgartner, G.: In: Neurophysiologie und Psychophysik des visuellen Systems, (ed.) R. Jung and H. Kornhuber, p. 296–311. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  • Békésy, G. v.: Sensory inhibition. Princeton, N.J.: Princeton University Press 1967.

    Google Scholar 

  • —: Mach and Hering type lateral inhibition in vision. Vision Res. 8, 1483–1499 (1968a).

    Google Scholar 

  • —: Brightness distribution across the Mach bands measured with flicker photometry, and the linearity of sensory nervous interaction. J. opt. Soc. Amer. 58, 1–8 (1968b).

    Google Scholar 

  • Bergstrom, S. S., Rubenson, B.: Contour effects on a brightness paradox. Vision Res. 10, 1057–1064 (1970).

    Article  CAS  PubMed  Google Scholar 

  • Bliss, J. C., Macurdy, W. B.: Linear models for contrast phenomena. J. opt. Soc. Amer. 53, 1373–1379 (1961).

    Google Scholar 

  • Bryndahl, O.: Perceived contrast variation with eccentricity of spatial sine-wave stimuli. Vision Res. 6, 553–567 (1966).

    Google Scholar 

  • Burnham, R. W., Jackson, J. E.: Mach rings verified by numerical differentation. Science 122, 951–953 (1955).

    Google Scholar 

  • Charman, W. N., Watrasiewicz, B. M.: Mach effect associated with microscope images. J. opt. Soc. Amer. 54, 791–795 (1964), esp. Pig. 5, p. 794.

    Google Scholar 

  • Cornsweet, T. N.: Visual perception. New York: Academic Press 1970.

    Google Scholar 

  • Davidson, M.: Perturbation approach to spatial brightness interaction in human vision. J. opt. Soc. Amer. 58, 1300–1308 (1968).

    CAS  Google Scholar 

  • —, Whiteside, J. A.: Human brightness perception near sharp contours. J. opt. Soc. Amer. 61, 530–536 (1971).

    CAS  Google Scholar 

  • Fiorentini, A.: Foveal and extra-foveal contrast threshold at a point of non-uniform field. Atti. Fond. Ronchi 12, 180–186 (1957).

    Google Scholar 

  • —, Jeanne, H., Francia, G. T. di: Measurements of differential threshold in the presence of a spatial illumination gradient. Atti. Fond. Ronchi 10, 371–379 (1955).

    Google Scholar 

  • —, Radici, T.: Binocular measurements of brightness on a field presenting a luminance gradient. Atti. Fond. G. Ronchi. 12, 453–461 (1957).

    Google Scholar 

  • —: Brightness, width, positions of Mach bands as a function of the rate of variation of luminance gradient. Atti. Fond. G. Ronchi 13, 145–155 (1958).

    Google Scholar 

  • Glezer, V. D.: The receptive fields of the retina. Vision Res. 5, 497–525 (1965).

    Article  CAS  PubMed  Google Scholar 

  • Green, P. H.: Factors in visual acuity: I. Neural inhibition and the visual perception of contours. Bull. math, biophysics. 19, 147–156 (1957).

    Google Scholar 

  • Guttinger, W.: Problems of information processing in the nervous system. Coral Gables Conference on Physical Principles of Neuronal and Organismic Behavior, Coral Gables, Florida, December 16–18, 1970.

  • Hartline, H. K., Ratliff, F.: Inhibitory interaction of receptor units in the eye of Limulus. J. gen. Physiol. 40, 357–376 (1957).

    Article  CAS  PubMed  Google Scholar 

  • Jung, R., Spillman, L.: In: Early experience and visual information processing (ed.) F. A. Young and D. B. Lindsley, p. 181–197. Washington, D.C.: Nat. Acad. Sci. 1970.

    Google Scholar 

  • Koffka, K.: Principles of gestalt psychology. London: Routledge & Kegan Paul 1935.

    Google Scholar 

  • Lowry, E. M., DePalma, J. J.: Sine-wave response of the visual system: I. The Mach phenomenon. J. opt. Soc. Amer. 51, 740–746 (1961).

    CAS  Google Scholar 

  • Ludvigh, E.: Perception of contour. I. Introduction. USNSAM Rep. No 4, Pensacola, Florida (1953 a).

  • Ludvigh, E.: Perception of contour. II. Effect of rate of change of retinal intensity gradient. USNSAM Rep. No 5, Pensacola, Florida (1953 b).

  • Mach, E.: Über die Wirkung der räumlichen Vertheilung des Lichtreizes auf die Netzhaut. S.-B. Akad. Wiss. Wien, mathnat. Kl. 52, 303–322 (1865).

    Google Scholar 

  • Marimount, R. B.: Linearity and the Mach phenomena. J. opt. Soc. Amer. 53, 400–401 (1963).

    Google Scholar 

  • McCullough, C.: The variation in width and position of Mach bands as a function of luminance. J. exp. Psychol. 49, 141–152 (1955).

    Google Scholar 

  • O'Brien, V.: Contour perception, illusion and reality. J. opt. Soc. Amer. 48, 112–119 (1958), esp. Fig. 5A.

    Google Scholar 

  • Ratliff, F.: Machbands, esp. p. 60–61. San Francisco: Holden-Day 1965.

    Google Scholar 

  • Richards, W.: Illusory reversal of brightness contrast. Percept. Motor Skills 27, 1169–1170 (1968).

    Google Scholar 

  • Sommerfeld, A. J. W.: Theoretical physics, optics (trans.) O. La Porte and P. A. Moldauer. New York: Academic Press 1954.

    Google Scholar 

  • Spinelli, D. N.: Visual receptive fields in the cat's retina: complications. Science 152, 1768–1769 (1966).

    CAS  PubMed  Google Scholar 

  • Stevens, S. S.: Neural events and the psychophysical law. Science 170, 1043–1050 (1970).

    CAS  PubMed  Google Scholar 

  • Thomas, J. P.: Linearity of spatial integrations involving inhibitory interactions. Vision Res. 8, 49–59 (1967).

    Google Scholar 

  • Tschermak, A. v.: Introduction to physiological optics (trans.) P. Boeder. Springfield, Ill.: Charles C. Thomas 1924.

    Google Scholar 

  • Watrasiewicz, B. M.: Some factors affecting the appearance of Mach bands. J. opt. Soc. Amer. 56, 499–503 (1966).

    CAS  Google Scholar 

  • Whiteside, J. A., Davidson, M. L.: Symmetrical appearance of bright and dark Mach bands from an exponential illumination gradient. J. opt. Soc. Amer. 61, 958–961 (1971).

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported, in part, by Research Grant No. EY00319-05 from the National Eye Institute, National Institutes of Health, Bethesda, Maryland, and by a fight for Sight Grant-in-Aid G-428 from the National Council to Combat Blindness, Inc., New York, New York.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shipley, T., Wier, C. Asymmetries in the Machband phenomena. Kybernetik 10, 181–189 (1972). https://doi.org/10.1007/BF00288736

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00288736

Keywords

Navigation