208 citations · 1.7k across the 69 of their papers we have counts for
5 papers · 1 filter
Proximal Splitting Methods in Signal Processing
Patrick L. Combettes, Jean-Christophe Pesquet
The proximity operator of a convex function is a natural extension of the notion of a projection operator onto a convex set. This tool, which plays a central role in the analysis a…
A Hierarchical Bayesian Model for Frame Representation
L. Chaâri, J. -C. Pesquet, J. -Y. Tourneret +2
In many signal processing problems, it may be fruitful to represent the signal under study in a frame. If a probabilistic approach is adopted, it becomes then necessary to estimate…
Parallel Proximal Algorithm for Image Restoration Using Hybrid Regularization -- Extended Version
Nelly Pustelnik, Caroline Chaux, Jean-Christophe Pesquet
Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question r…
An Iterative Method for Parallel MRI SENSE-based Reconstruction in the Wavelet Domain
Lotfi Chaari, Jean-Christophe Pesquet, Philippe Ciuciu +1
To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged…
Optimization of Synthesis Oversampled Complex Filter Banks
Jerome Gauthier, Laurent Duval, Jean-Christophe Pesquet
An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first…