5 papers
Forward-Backward algorithms for weakly convex problems
Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1
We investigate the convergence properties of exact and inexact forward-backward algorithms to minimise the sum of two weakly convex functions defined on a Hilbert space, where one…
Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1
We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convex…
A CNC approach for Directional Total Variation
Gabriele Scrivanti, Emilie Chouzenoux, Jean-Christophe Pesquet
The core of many approaches for the resolution of variational inverse problems arising in signal and image processing consists of promoting the sought solution to have a sparse rep…
A Variational Approach for Joint Image Recovery and Feature Extraction Based on Spatially-Varying Generalised Gaussian Models
Emilie Chouzenoux, Marie-Caroline Corbineau, Jean-Christophe Pesquet +1
The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and th…
Non-convex Super-resolution of OCT images via sparse representation
Gabriele Scrivanti, Luca Calatroni, Serena Morigi +2
We propose a non-convex variational model for the super-resolution of Optical Coherence Tomography (OCT) images of the murine eye, by enforcing sparsity with respect to suitable di…