@MISC{Tanaka_topologyof, author = {Shigeru Tanaka}, title = {Topology of Visual Cortical Maps}, year = {} }
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Abstract
It has been reported that in the primary visual cortex, there are maps with respect to the neuron's optimal response parameters to light stimuli. The objective of the present paper is to present a new mathematical approach to the understanding of topological properties of visual cortical maps. I postulate that the optimal stimulus parameters are arranged continuously almost everywhere on the the visual cortical surface. Using this assumption and the fact that neuron's optimal patterns of response to light stimuli presented in the visual space (receptive fields, RFs) can be given by the Gabor function, the space spanned by the optimal stimulus parameters is examined on the basis of topology theory, and possible point singularities and discontinuity lines over the visual cortex are derived. 2 1. Introduction It is accepted that neurons in the primary visual cortex can be classified into a few types of cells such as simple cells and complex cells, according to their responses to light s...