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A Cortical-Inspired Model for Orientation-Dependent Contrast Perception: A Link with Wilson-Cowan Equations

  • Marcelo Bertalmío
  • Luca CalatroniEmail author
  • Valentina Franceschi
  • Benedetta Franceschiello
  • Dario Prandi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11603)

Abstract

We consider a differential model describing neuro-physiologi-cal contrast perception phenomena induced by surrounding orientations. The mathematical formulation relies on a cortical-inspired modelling [11] largely used over the last years to describe neuron interactions in the primary visual cortex (V1) and applied to several image processing problems [14, 15, 21]. Our model connects to Wilson-Cowan-type equations [26] and it is analogous to the one used in [3, 4, 16] to describe assimilation and contrast phenomena, the main novelty being its explicit dependence on local image orientation. To confirm the validity of the model, we report some numerical tests showing its ability to explain orientation-dependent phenomena (such as grating induction) and geometric-optical illusions [18, 24] classically explained only by filtering-based techniques [7, 20].

Keywords

Orientation-dependent modelling Wilson-Cowan equations Primary visual cortex Contrast perception Variational modelling 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Marcelo Bertalmío
    • 1
  • Luca Calatroni
    • 2
    Email author
  • Valentina Franceschi
    • 3
  • Benedetta Franceschiello
    • 4
  • Dario Prandi
    • 5
  1. 1.DTICUniversitat Pompeu FabraBarcelonaSpain
  2. 2.CMAPÉcole Polytechnique CNRSPalaiseauFrance
  3. 3.IMOUniversité Paris-SudOrsayFrance
  4. 4.Fondation Asile des Aveugles and Laboratory for Investigative NeurophysiologyLausanneSwitzerland
  5. 5.CNRS, L2SCentraleSupélecGif-sur-YvetteFrance

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