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Published in:
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2018 | OriginalPaper | Chapter

1. Introduction

Authors : Dario Prandi, Jean-Paul Gauthier

Published in: A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition

Publisher: Springer International Publishing

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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.

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next chapter Preliminaries
Footnotes
1
Reproduced with permission from Springer Customer Service Centre GmbH: Springer Nature Scientific Reports (Predicted contextual modulation varies with distance from pinwheel centers in the orientation preference map, T. Okamoto, K. Ikezoe, H. Tamura, M. Watanabe, K. Aihara et al.), (2011)
 
2
It is widely accepted that the retina performs some smoothing, see [55]. After such smoothing, the image f(x, y) is in general a Morse function, and the lifted surface is a smooth surface. See [14].
 
3
Looking at the literature, discussing with Petitot and other people, we could not get a clear answer about this number N. This estimate (15–50) comes from our own numerical experiments in both image reconstruction and pattern recognition.
 
Metadata
Title
Introduction
Authors
Dario Prandi
Jean-Paul Gauthier
Copyright Year
2018
Book
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition

Print ISBN: 978-3-319-78481-6

Electronic ISBN: 978-3-319-78482-3

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-78482-3_1

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