Overview of the structure tensor model

Creators: Faye, Grégory; Chossat, Pascal; Faugeras, Olivier

Others:: NEUROMATHCOMP ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-INRIA Rocquencourt ; Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Paris (ENS-PSL) ; Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS); Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Description

In this poster, we present an overview of the structure tensor model. We first recall the general ideas developped in this framework: model of V1 seen as a set of hypercolumns which encode texture via the structure tensor. We present and analyse analog of Wilson-Cowan equations written in the feature space of 2x2 symmetric definite positive matrices. We show that this model englobes the well-known ring model of orientation. We present some results about two classes of specific stationary solutions of the system.

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Overview of the structure tensor model

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Abstract

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