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A neural and computational model for the chromatic control of accommodation

Published online by Cambridge University Press:  02 June 2009

D. I. Flitcroft
Affiliation:
University Laboratory of Physiology, Parks Road, OX1 3PT, England

Abstract

Accommodation is more accurate with polychromatic stimuli than with narrowband or monochromatic stimuli. The aim of this paper is to develop a computational model for how the visual system uses the extra information in polychromatic stimuli to increase the accuracy of accommodation responses. The proposed model is developed within the context of both trichromacy and also the organization of spatial and chromatic processing within the visual cortex.

The refractive error present in the retinal image can be estimated by comparing image quality with and without small additional changes in refractive state. In polychromatic light, the chromatic aberration of the eye results in differences in ocular refractive power for light of different wavelengths. As a result, the refractive state of the eye can be estimated by comparing image quality in the three types of cone photoreceptor. The ability of cortical neurons to perform such comparisons on image quality with a crude form of spatial-frequency analysis is examined theoretically. It is found that spatially band-pass chromatically opponent neurons (that may correspond to double opponent neurons) can perform such calculations and that chromatic cues to accommodation are extracted most effectively by neurons responding to spatial frequencies of between 2 and 8 cycles/deg.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

Baylor, D.A., Nunn, B.J. & Schnapf, J.L. (1987). Spectral sensitivity of cones in the monkey (Macaca fasicularis). Journal of Physiology (London) 390, 145160.CrossRefGoogle Scholar
Bedford, R.E. & Wyszecki, G. (1957). Axial chromatic aberration of the eye. Journal of the Optical Society of America 47, 564565.CrossRefGoogle Scholar
Braddick, O.J., Campbell, F.W. & Atkinson, J. (1978). Channels in vision: basic aspects. In Handbook of Sensory Physiology, Vol. 8, ed. Held, R., Leibowitz, H.W. & Teuber, H.L., pp. 138. Heidelberg, Springer.Google Scholar
Charman, W.N. & Tucker, J. (1978). Accommodation as a function of object form. American Journal of Optometry & Physiological Optics 55, 8492.CrossRefGoogle ScholarPubMed
Crane, H.D. (1966). A theoretical analysis of the visual accommodation system in humans. NASA Contractors Report CR-606.Google Scholar
Dow, B.M. (1974). Functional classes of cells and their laminar distribution in monkey visual cortex. Journal of Neurophysiology 37, 927946.CrossRefGoogle ScholarPubMed
Enroth-Cugell, C. & Robson, J.G. (1966). The contrast sensitivity of retinal ganglion cells of the cat. Journal of Physiology (London) 187, 517552.CrossRefGoogle ScholarPubMed
Fincham, E.F. (1951). The accommodation reflex and its stimulus. British Journal of Ophthalmology 35, 381393.CrossRefGoogle ScholarPubMed
Fincham, E.F. (1953). Defects of the colour-sense mechanisms as indicated by the accommodation reflex. Journal of Physiology 121, 570580.CrossRefGoogle ScholarPubMed
Flitcroft, D.I & Judge, S.J. (1988). The effects of stimulus chromaticity on ocular accommodation in the monkey. Journal of Physiology (London) 398, 36P.Google Scholar
Flitcroft, D.I. (1989). The interactions between chromatic aberration, defocus, and stimulus chromaticity: implications for visual physiology and colorimetry. Vision Research 29, 349360.CrossRefGoogle ScholarPubMed
Hawken, M.J. & Parker, A.J. (1987). Spatial properties of neurons in the monkey striate cortex. Proceedings of the Royal Society B (London) 231, 251288.Google ScholarPubMed
Helmholtz, H. (1909). Handbook of Physiological Optics, vol. 1. Southall, J.P.C. trans. 1962. New York: Dover.Google Scholar
Hering, E. (1905). Outlines of a Theory of the Light Sense. Hurvich, L.M. & Jameson, D., translation 1964. Harvard University Press: Cambridge, Massachusetts.Google Scholar
Hopkins, H.H. (1955). The frequency response of a defocused optical system. Proceedings of the Royal Society A 231, 91103.Google Scholar
Hubel, D.H. & Wiesel, T.N. (1968). Receptive fields and functional organisation of monkey striate cortex. Journal of Physiology (London) 195, 215243.CrossRefGoogle ScholarPubMed
Ittleson, W.H. & Ames, A.A. (1950). Accommodation, convergence, and their relation to apparent distance. Journal of Psychology 30, 4362.CrossRefGoogle Scholar
Kotulak, J.C. & Schor, C.M. (1986). A computational model of the error detector of human visual accommodation. Biological Cybernetics 54, 189194.CrossRefGoogle ScholarPubMed
Kruger, P.B. & Pola, J. (1985). Changing target size is a stimulus for accommodation. Journal of the Optical Society of America A 75, 18321835.CrossRefGoogle Scholar
Kruger, P.B. & Pola, J. (1986). Stimuli for accommodation: blur, chromatic aberration, and size. Vision Research 26, 957971.CrossRefGoogle ScholarPubMed
Livingstone, M.S. & Hubel, D.H. (1984). Anatomy and physiology of a color system in the primate visual cortex. Journal of Neuroscience 4, 309356.CrossRefGoogle ScholarPubMed
Michael, C.R. (1978). Color vision mechanisms in monkey striate cortex: dual opponent cells with concentric receptive fields. Journal of Neurophysiology 41, 572588.CrossRefGoogle ScholarPubMed
Mullen, K.T. (1985). The contrast sensitivity of human colour vision to red-green and blue-yellow gratings. Journal of Physiology (London) 359, 381400.CrossRefGoogle Scholar
Owens, D.A. (1980). A comparison of accommodative responsiveness and contrast sensitivity for sinusoidal gratings. Vision Research 20, 159167.CrossRefGoogle ScholarPubMed
Patterson, H.D. (1956). A simple method for fitting an asymptotic regression curve. Biometrics 12, 323329.CrossRefGoogle Scholar
Phillips, S. & Stark, L. (1977). Blur: a sufficient accommodative stimulus. Documenta Ophthalmologica 43, 6589.CrossRefGoogle ScholarPubMed
Poggio, G.F., Baker, H.F., Mansfield, R.J.W., Sillito, A. & Grigg, P. (1975). Spatial and chromatic properties of neurons subserving foveal and parafoveal vision in rhesus monkeys. Brain Research 100, 2559.CrossRefGoogle Scholar
Provine, R.R. & Enoch, J.M. (1975). On voluntary ocular accommodation. Perception & Psychophysics 17, 209212.CrossRefGoogle Scholar
Rodieck, R.W. (1965). Quantitative analysis of cat retinal ganglion cell response to visual stimuli. Vision Research 5, 583601.CrossRefGoogle ScholarPubMed
Smith, G. (1982). Ocular defocus, spurious resolution, and contrast reversal. Ophthalmic & Physiological Optics 2, 523.Google ScholarPubMed
Smithline, L.M. (1974). Accommodative responses to blur. Journal of the Optical Society of America 64, 15121516.CrossRefGoogle ScholarPubMed
Stark, L. & Takahasi, Y. (1965). Absence of an odd-error signal mechanism in accommodation. IEEE Transactions on Biomedical Engineering BME-12, 138146.CrossRefGoogle ScholarPubMed
Tansley, B.W. & Boynton, R.M. (1978). Chromatic border perception: the role of red- and green-sensitive cones. Vision Research 18, 683697.CrossRefGoogle ScholarPubMed
Thorell, L.G., De Valois, R.L. & Albrecht, D.G. (1984). Spatial mapping of monkey VI cells with pure color and luminance stimuli. Vision Research 24, 751769.CrossRefGoogle Scholar
Troelstra, A., Zuber, B.L., Miller, D. & Stark, L. (1964). Accommodative tracking: a trial and error function. Vision Research 4, 585594.CrossRefGoogle ScholarPubMed
Ts'o, D.Y. & Gilbert, C.D. (1988). The organisation of chromatic and spatial interactions in the primate striate cortex. Journal of Neuroscience 8, 17121727.CrossRefGoogle ScholarPubMed
Van Der Wildt, G.J., Bouman, M.A. & van De Kraats, J. (1974). The effect of anticipation on the transfer function of the human lens system. Optica Acta 21, 843860.CrossRefGoogle Scholar
Van Meeteren, A. (1974). Calculations of the optical modulation transfer function of the human eye for white light. Optica Acta 21, 395412.CrossRefGoogle Scholar
Wald, G. & Griffin, D.R. (1947). Change in refractive power of the eye in dim and bright light. Journal of the Optical Society of America 37, 321.CrossRefGoogle ScholarPubMed