A mathematical model of the primary visual cortex and hypercolumn
type: Item
instance of: scholarly article
title: A mathematical model of the primary visual cortex and hypercolumn
zbMATH Open document ID: 0586.92009
DOI: 10.1007/BF00320481
published in: Biological Cybernetics
publication date: 1986-01-01T00:00:00Z
review text: A mathematical model of the primary visual cortex is presented. Basically, the model comprises two features. Firstly, in analogy with the principle of the computerized tomography (CT), it assumes that simple cells in each hypercolumn are not merely detecting line segments in images as features, but rather that they are as a whole representing the local image with a certain representation. Secondly, it assumes that each hypercolumn is performing spatial frequency analyses of local images using that representation, and that the resultant spectra are represented by complex cells. The model is analyzed using numerical simulations and its advantages are discussed from the viewpoint of visual information processing. It is shown that 1) the proposed processing is tolerant to shifts in position of input images, and that 2) spatial frequency filtering operations can be easily performed in the model.
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 3941319
zbMATH Keywords: mathematical model
zbMATH Keywords: primary visual cortex
zbMATH Keywords: computerized tomography
zbMATH Keywords: hypercolumn
zbMATH Keywords: spatial frequency analyses of local images
zbMATH Keywords: numerical simulations
zbMATH Keywords: visual information processing
zbMATH Keywords: shifts in position of input images
zbMATH Keywords: spatial frequency filtering
author: Kenji Okajima
MaRDI profile type: Publication
Wikidata QID: Q48400736
description: scientific article; zbMATH DE number 3941319