dr. Remizov's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Title: Hypoelliptic diffusion and human vision

Alexey Remizov
CMAP, Ecole Polytechnique CNRS, Palaiseau Cedex, France

E-mail: alexey-remizov at yandex.ru


The talk is devoted to a method of image reconstruction based on the 
model of neurogeometry of vision, due to Jean Petitot.

One of the main features of this model is that the primary visual cortex 
V1 lifts an image from the plane to the bundle of directions of the plane.
Neurons are grouped into orientation columns, each of them corresponding 
to a point of this bundle.
A corrupted image is reconstructed by minimizing the energy necessary 
for the activation of the orientation columns
corresponding to regions in which the image is corrupted.
The minimization process intrinsically defines a hypoelliptic partial 
differential equation on the bundle of directions of the plane.

In this talk, we focus on the theoretical and numerical aspects of 
integration of this equations.
An effective fully parallellizable numerical algorithm is presented.
The presented results are obtained in our joint work with  Ugo Boscain, 
Jean-Paul Gauthier, and Roman Chertovskih.


Wednesday 8 May at 2 pm in lecture room 133