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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 12 — Dec. 1, 1979
  • pp: 1635–1648

Predictions of an inhomogeneous model: Detection of local and extended spatial stimuli

Francis Kretz, Françoise Scarabin, and Eric Bourguignat  »View Author Affiliations

JOSA, Vol. 69, Issue 12, pp. 1635-1648 (1979)

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A two-dimensional spatially inhomogeneous model of the visual system is developed. It is based on the properties of cone spacing in the retina and on the hypothesis of uniform neural interactions (lateral inhibitions). Its quantitative predictions of the detection and discrimination (acuity) of various types of stimuli are studied. The model works well with local stimuli positioned at varied eccentricities as well as with extended stimuli (vertical cosine gratings windowed by two-dimensional windows), but a simple threshold detector was found to be insufficient to describe the increase of contrast sensitivity with the number of cycles of the cosine gratings at high frequencies. It is concluded that, even for one-dimensional stimuli, a two-dimensional approach is necessary and that other parameters such as imprecision of fixation, eye movements, and two-dimensional probability summation must be taken into account before resorting to more complex models.

© 1980 Optical Society of America

Francis Kretz, Françoise Scarabin, and Eric Bourguignat, "Predictions of an inhomogeneous model: Detection of local and extended spatial stimuli," J. Opt. Soc. Am. 69, 1635-1648 (1979)

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  33. This suggests a way to measure the local foveal filter using cosine gratings properly windowed by a function of x. This function must not be higher than α3. (x)/σ(x), σ(x) assumed to be known.
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  47. A hexagonal network is chosen to model the retinal network. If d is the intercone distance at eccentricity (x,y), the receptor positions can be indexed as xij = x + id + j(d/2) and yij = y + j(d√3/2), (see Fig. 11); at the fovea, x0ij = id0 + jd0/2 and yij = jd0 √3/2.
  48. We consider here for simplicity that the ganglion cell outputs are the outputs of the lateral interactions and that detectors immediately follow. Parts of the lateral interactions and detectors can occur in more central visual centers. Our hypothesis is only that the neural network is homogeneous, the inhomogeneity arising from the receptor spatial distribution and the inner sensitivity.

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