Abstract
We authors propose a mathematical model for simple cell binocular response. It comprises two Gabor-type receptive fields (RF) having the same RF center, preferred spatial frequency, and preferred orientation. The model integrates the equally weighted signals from both eyes and performs a threshold operation.
Poggio and Fischer (1977) classified binocular disparity cells in the striate cortex into four groups: tuned excitatory (TE), tuned inhibitory (TI), near, and far cells. They also found that most of the TE cells are ocularly balanced and that the other three types are usually unbalanced. This model can imitate these four types of disparity sensitivities and their ocular dominance tendency. We perform model fittings to Poggio's data using the “simulated annealing” method and discuss parameter dependence of the model's response. The model can also respond with exceptional disparity sensitivity: i.e., flat type, alternating type, and intermediate type.
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References
Daugman JG (1980) Two-dimensional spectral analysis of cortical receptive field profile. Vision Res 20:847–856
Ferster D (1981) A comparison of binocular depth mechanisms in areas 17 and 18 of the cat visual cortex. J Physiol 311:623–655
Field DJ, Tolhust DJ (1986) The structure and symmetry of simple cell receptive field profiles in the cat's visual cortex. Proc R Soc Lond 3228:379–400
Gabor D (1946) Theory of communication. J Inst Elec Eng 93:429–549
Hubel DH, Wiesel TN (1973) A re-examination of stereoscopic mechanisms in area 17 of the cat. J Physiol 232:29–30P
Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680
LeVay S, Voigt T (1988) Ocular dominance and disparity coding in cat visual cortex. Vis Neurosci 1–4:395
Macy A, Ohzawa I, Freeman RD (1982) A quantitative study of the classification and stability of ocular dominance in the cat's visual cortex. Exp Brain Res 48:401–408
Marcelja S (1980) Mathematical description of the responses of simple cortical cell. J Opt Soc Am 70:1297–1300
Marr D (1982) Vision. Freeman, San Francisco
Movshon JA, Thompson ID, Tolhurst DJ (1978) Spatial and temporal contrast sensitivity of neurons in areas 17 and 18 of the visual cortex. J Physiol 283:101–120
Ohzawa I, Freeman RD (1986) The binocular organization of simple cells in the cat's visual cortex. J Neurophysiol 56:221–242
Poggio GF (1984) Processing of stereoscopic information in primate visual cortex. Dynamic aspects of neocortical function. Wiley, New York, pp 613–635
Poggio GF, Fischer B (1977) Binocular interaction and depth sensitivity in striate and prestriate cortex of behaving rhesus monkey. J Neurophysiol 40:1392–1405
Poggio GF, Poggio T (1984) The analysis of stereopsis. Ann Rev Neurosci 7:379–412
Poggio GF, Talbot WH (1981) Mechanisms of static and dynamic stereopsis in foveal cortex of the rhesus monkey. J Physiol 315:469–492
Poggio GF, Gonzalez F, Krause F (1988) Stereoscopic mechanisms in monkey visual cortex: Binocular correlation and disparity selectivity. J Neurosci 8–12:4531–4550
Schiller PH, Finlay BL, Volman SF (1976) Quantitative studies of single-cell properties in monkey striate cortex I. J Neurophysiol 39:1288–1319
Skottun BC, Freeman RD (1984) Stimulus specificity of binocular cells in the cat's visual cortex: ocular dominance and the matching of left and right eyes. Exp Brain Res 56:206–216
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Nomura, M., Matsumoto, G. & Fujiwara, S. A binocular model for the simple cell. Biol. Cybern. 63, 237–242 (1990). https://doi.org/10.1007/BF00195863
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DOI: https://doi.org/10.1007/BF00195863