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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern RecognitionIntroduction

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic... [This chapter is an introduction to the book. Here we start by presenting the classical Citti-Petitot-Sarti model for the structure of the visual cortex, with particular attention to its connections with control theory, followed by our semi-discrete improvement of the model, which will be the main subject of this monograph. We also present how this structure can be exploited for image reconstruction and then introduce our novel framework for texture analsysis and pattern recognition, via the bispectrum. We end the chapter with a discussion on the organization of the monograph.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern RecognitionIntroduction

Part of the SpringerBriefs in Mathematics Book Series
Springer Journals — Jun 12, 2018

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2018
ISBN
978-3-319-78481-6
Pages
1 –12
DOI
10.1007/978-3-319-78482-3_1
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter is an introduction to the book. Here we start by presenting the classical Citti-Petitot-Sarti model for the structure of the visual cortex, with particular attention to its connections with control theory, followed by our semi-discrete improvement of the model, which will be the main subject of this monograph. We also present how this structure can be exploited for image reconstruction and then introduce our novel framework for texture analsysis and pattern recognition, via the bispectrum. We end the chapter with a discussion on the organization of the monograph.]

Published: Jun 12, 2018

Keywords: Primary visual cortex \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{V}_{1}$$\end{document}; Citti-Petitot-Sarti model; Hypoelliptic diffusion; Bispectrum

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