38 citations · 229 across the 52 of their papers we have counts for
6 papers · 1 filter
A Gauge Field Model of Modal Completion
Giovanna Citti, Alessandro Sarti
Perceptual completion of figures is a basic process revealing the deep architecture of low level vision. In this paper a complete gauge field Lagrangian is proposed allowing to cou…
Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian
Benny Avelin, Luca Capogna, Giovanna Citti +1
We establish a Harnack inequality for a class of quasi-linear PDE modeled on the prototype {equation*} \partial_tu= -\sum_{i=1}^{m}X_i^\ast (|\X u|^{p-2} X_i u){equation*} where $p…
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…
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups
Luca Capogna, Giovanna Citti, Maria Manfredini
In this paper we study heat kernels associated to a Carnot group , endowed with a family of collapsing left-invariant Riemannian metrics $σ_\e$ which converge in the Gromov-Haus…
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…