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.


Primary visual cortex \(\mathrm{V}_{1}\) Citti-Petitot-Sarti model Hypoelliptic diffusion Bispectrum 

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© The Author(s) 2018

Authors and Affiliations

  1. 1.Laboratoire des Signaux et des SystèmesCéntraleSupelecGif sur YvetteFrance
  2. 2.LSISUniversité de ToulonLa Garde CedexFrance

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