The stereo model is an energy model that integrates both the position-shift model and the phase-difference model. The position-shift model suggests that the receptive fields of left and right simple cells are identical in shape but are shifted horizontally relative to each other. This model was proposed by Bishop and Pettigrew in 1986. According to the phase-difference model the excitatory and inhibitory sub-regions of the left and right receptive fields of simple cells are shifted in phase such that their boundaries overlap. This model was developed by Ohzawa in 1990. The stereo model uses Fourier phase dependence of simple cell responses, and it suggests that the use of the response of only simple cells is not enough to accurately depict the physiological observations found in cat, monkey, and human visual pathways. In order to make the model more representative of physiological observations, the stereo model combines the responses of both simple and complex cells into a single signal. How this combination is done depends on the incoming stimulus. As one example, the model uses independent Fourier phases for some types of stimuli, and finds the preferred disparity of the complex cells equal to the left-right receptive field shift. For other stimuli, the complex cell becomes less phase sensitive than the simple cells alone, and when the complex cells larger receptive field is included in the model, the phase sensitivity is returns to results similar to normal physiological observations. In order to include the larger receptive fields of complex cells, the model averages several pairs of simple cells nearby and overlaps their receptive fields to construct the complex cell model. This allows the complex cell to be phase independent for all stimuli presented while still maintaining an equal receptive field shift to the simple cells it is composed of in the model.
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