Literature DB >> 22480446

An uncertainty principle underlying the functional architecture of V1.

Davide Barbieri1, Giovanna Citti, Gonzalo Sanguinetti, Alessandro Sarti.   

Abstract

We present a model of the morphology of orientation maps in V1 based on the uncertainty principle of the SE(2) group. Starting from the symmetries of the cortex, suitable harmonic analysis instruments are used to obtain coherent states in the Fourier domain as minimizers of the uncertainty. Cortical activities related to orientation maps are then obtained by projection on a suitable cortical Fourier basis.
Copyright © 2012 Elsevier Ltd. All rights reserved.

Mesh：

Year:  2012        PMID： 22480446     DOI： 10.1016/j.jphysparis.2012.03.001

Source DB:  PubMed          Journal:  J Physiol Paris        ISSN： 0928-4257


  9 in total

1.  The constitution of visual perceptual units in the functional architecture of V1.

Authors:  Alessandro Sarti; Giovanna Citti
Journal:  J Comput Neurosci       Date:  2014-12-23       Impact factor: 1.621

2.  From receptive profiles to a metric model of V1.

Authors:  Noemi Montobbio; Giovanna Citti; Alessandro Sarti
Journal:  J Comput Neurosci       Date:  2019-04-12       Impact factor: 1.621

3.  Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2).

Authors:  R Duits; U Boscain; F Rossi; Y Sachkov
Journal:  J Math Imaging Vis       Date:  2014       Impact factor: 1.627

4.  Orientation Maps in V1 and Non-Euclidean Geometry.

Authors:  Alexandre Afgoustidis
Journal:  J Math Neurosci       Date:  2015-06-17       Impact factor: 1.300

5.  How uncertainty bounds the shape index of simple cells.

Authors:  D Barbieri; G Citti; A Sarti
Journal:  J Math Neurosci       Date:  2014-04-17       Impact factor: 1.300

6.  Monochromaticity of orientation maps in v1 implies minimum variance for hypercolumn size.

Authors:  Alexandre Afgoustidis
Journal:  J Math Neurosci       Date:  2015-04-08       Impact factor: 1.300

7.  A sub-Riemannian model of the visual cortex with frequency and phase.

Authors:  E Baspinar; A Sarti; G Citti
Journal:  J Math Neurosci       Date:  2020-07-29       Impact factor: 1.300

8.  Analytic Model for Feature Maps in the Primary Visual Cortex.

Authors:  Xiaochen Liu; Peter A Robinson
Journal:  Front Comput Neurosci       Date:  2022-02-04       Impact factor: 2.380

9.  Evaluating contextual processing in diffusion MRI: application to optic radiation reconstruction for epilepsy surgery.

Authors:  Chantal M W Tax; Remco Duits; Anna Vilanova; Bart M ter Haar Romeny; Paul Hofman; Louis Wagner; Alexander Leemans; Pauly Ossenblok
Journal:  PLoS One       Date:  2014-07-31       Impact factor: 3.240
  9 in total

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