title: An uncertainty principle underlying the functional architecture of V1.
abstract: We present a model of the morphology of orientation maps in V1 based on the uncertainty principle of the SE(2) group. Starting from the symmetries of the cortex, suitable harmonic analysis instruments are used to obtain coherent states in the Fourier domain as minimizers of the uncertainty. Cortical activities related to orientation maps are then obtained by projection on a suitable cortical Fourier basis.
authors.affiliation: Dipartimento di Matematica Università di Bologna, Italy. davide.barbieri8@unibo.it
authors.forename: Davide
authors.initials: D
authors.lastname: Barbieri
authors.forename: Giovanna
authors.initials: G
authors.lastname: Citti
authors.forename: Gonzalo
authors.initials: G
authors.lastname: Sanguinetti
authors.forename: Alessandro
authors.initials: A
authors.lastname: Sarti
mesh_terms: D001931:Brain Mapping; D005583:Fourier Analysis; D006801:Humans; D008962:Models, Theoretical; D035501:Uncertainty; D014793:Visual Cortex / Q000502:physiology*