A model of the early stages of the human visual system: Functional and topological transformations performed in the peripheral visual field

A model of the early stages of the visual system is presented, with particular reference to the region of the visual field outside the fovea and to the class of retinal and lateral geniculate nucleus cells which are most active in the processing of pattern information (X-cells). The main neuroanatomical and neurophysiological properties taken into account are: the linear increase of the receptive fields diameter with eccentricity, the constancy of the overlap factor and the topological transformation operated upon the retinal image by the retino-cortical connection. The type of filtering taking place between the retina and the visual cortex is analyzed and some simulations are presented. It is shown that such a filtering is of a band-pass space variant type, with center frequencies that decrease from the center (i.e. the fovea) toward the periphery of the visual field. This processing is form invariant under linear scaling of the input. Moreover, considering the properties of the retino-cortical connection, it is shown that the cortical images undergo simple shifts whenever the retinal images are scaled or rotated.