|
The subriemannian structure of the primary visual cortex| old_uid | 11084 |
|---|
| title | The subriemannian structure of the primary visual cortex |
|---|
| start_date | 2012/03/16 |
|---|
| schedule | 15h30-16h30 |
|---|
| online | no |
|---|
| location_info | salle 5 |
|---|
| summary | Starting from the works of D. Hoffmann, J. Petitot, the functional architecture
of the primary visual cortex has been modelled with differential instruments.
In the same spirit, with A. Sarti we described the structure of the primary
visual cortex as a Lie group with a sub-Riemannian structure, which can account
for orientation, space time or stereo. Association fields are modelled as
integral curves of the structure, propagation of the visual signal as solution
of a PDE. In particular its fundamental solution will describe the neural
connectivity and will be compared with the probability of edges co-ocurrence in
natural images. From the mathematical point of view the sub-Riemannian
structure is totally degenerate at any point, and we will shortly outline some
instruments introduced to handle the degeneracy. |
|---|
| responsibles | Berestycki, Nadal, Rosenstiehl |
|---|
| |
|