• DocumentCode
    2576361
  • Title

    Image reconstruction via optimal control on the bundle of directions of the plane

  • Author

    Boscain, Ugo ; Duplaix, Jean ; Gauthier, Jean-Paul ; Rossi, Francesco

  • Author_Institution
    CNRS, Ecole Polytech., Palaiseau, France
  • fYear
    2010
  • fDate
    15-17 Dec. 2010
  • Firstpage
    7027
  • Lastpage
    7032
  • Abstract
    In this paper we present a model of geometry of vision which generalizes one due to Petitot, Citti and Sarti. One of its main features is that the primary visual cortex V1 lifts the image from ℝ2 to the bundle of directions of the plane PTℝ2 = ℝ2 × P1. Neurons are grouped into orientation columns, each of them corresponding to a point of the bundle PTℝ2.
  • Keywords
    Fourier transforms; computational geometry; elliptic equations; image reconstruction; minimisation; neural nets; optimal control; Mathieu potential; corrupted image; generalized Fourier transform; hypoelliptic heat equation; image reconstruction; minimization; neurons; optimal control; primary visual cortex VI; Brain modeling; Equations; Heating; Image reconstruction; Kernel; Level set; Mathematical model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2010 49th IEEE Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4244-7745-6
  • Type

    conf

  • DOI
    10.1109/CDC.2010.5717682
  • Filename
    5717682
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2576361