We present a mathematical model for the human primary visual cortex V1 and its applications to image processing, based on the sub-Riemannian Citti-Petitot-Sarti model. In this model the primary visual cortex is represented as the bundle $PT\mathbb R^2$ of directions of the plane, where each point corresponds to a neuron with both spatial location and local orientation preferences, endowed with a sub-Riemannian structure. Several new numerical and theoretical results will be discussed.

This presentation is part of Minisymposium “MS38 - Geometry-driven anisotropic approaches for imaging problems”
organized by: Luca Calatroni (CMAP, École Polytechnique CNRS) , Dario Prandi (CNRS - L2S, CentraleSupélec) , Valentina Franceschi (INRIA Paris) .

Authors:

Dario Prandi (CNRS - L2S, CentraleSupélec)

Keywords:

image reconstruction, partial differential equation models