21 citations · 52 across the 17 of their papers we have counts for
24 papers
Reconstructing group wavelet transform from feature maps with a reproducing kernel iteration
Davide Barbieri
In this paper we consider the problem of reconstructing an image that is downsampled in the space of its wavelet transform, which is motivated by classical models of simple…
Optimal translational-rotational invariant dictionaries for images
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +1
We provide the construction of a set of square matrices whose translates and rotates provide a Parseval frame that is optimal for approximating a given dataset of images. Our appro…
Approximation by group invariant subspaces
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +1
In this article we study the structure of -invariant spaces of . Here is a second countable LCA group. The invariance is with respect to the action of , a…
Extra invariance of principal shift invariant spaces and the Zak transform
Davide Barbieri, Eugenio Hernandez, Carolina A. Mosquera
We prove a necessary and sufficient condition for a principal shift invariant space of to be invariant under translations by the subgroup $\frac{1}{N} \mathbb{Z},…
Spaces invariant under unitary representations of discrete groups
Davide Barbieri, Eugenio Hernández, Victoria Paternostro
We investigate the structure of subspaces of a Hilbert space that are invariant under unitary representations of a discrete group. We work with square integrable representations, a…
Frames of exponentials and sub-multitiles in LCA groups
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +3
In this note we investigate the existence of frames of exponentials for in the setting of LCA groups. Our main result shows that sub-multitiling properties of $Ω\subset \w…