21 citations · 52 across the 17 of their papers we have counts for
4 papers · 1 filter
Bracket map for Heisenberg group and the characterization of cyclic subspaces
Davide Barbieri, Eugenio Hernandez, Azita Mayeli
The bracket map was originally considered for locally compact abelian groups. In this work we extend the study of bracket maps to the noncommutative setting, providing characteriza…
How Uncertainty bounds the shape index of simple cells
Davide Barbieri, Giovanna Citti, Alessandro Sarti
We propose a theoretical motivation to quantify actual physiological features, such as the shape index distributions measured by Jones and Palmer in cats and by Ringach in macaque…
Reproducing kernel Hilbert spaces of CR functions for the Euclidean Motion group
Davide Barbieri, Giovanna Citti
We study the geometric structure of the reproducing kernel Hilbert space associated to the continuous wavelet transform generated by the irreducible representations of the Euclidea…
A cortical-inspired geometry for contour perception and motion integration
Davide Barbieri, Giovanna Citti, Giacomo Cocci +1
In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive…