268 citations · 1.1k across the 40 of their papers we have counts for
10 papers · 1 filter
Compressed sensing in Hilbert spaces
Yann Traonmilin, Gilles Puy, Rémi Gribonval +1
In many linear inverse problems, we want to estimate an unknown vector belonging to a high-dimensional (or infinite-dimensional) space from few linear measurements. To overcome the…
Recipes for stable linear embeddings from Hilbert spaces to R^m
Gilles Puy, Mike Davies, Rémi Gribonval
We consider the problem of constructing a linear map from a Hilbert space (possibly infinite dimensional) to that satisfies a restricted isometry prope…
Compressed Quantitative MRI: Bloch Response Recovery through Iterated Projection
Mike Davies, Gilles Puy, Pierre Vandergheynst +1
Inspired by the recently proposed Magnetic Resonance Fingerprinting technique, we develop a principled compressed sensing framework for quantitative MRI. The three key components a…
A Compressed Sensing Framework for Magnetic Resonance Fingerprinting
Mike Davies, Gilles Puy, Pierre Vandergheynst +1
Inspired by the recently proposed Magnetic Resonance Fingerprinting (MRF) technique, we develop a principled compressed sensing framework for quantitative MRI. The three key compon…
Convex Optimization Approaches for Blind Sensor Calibration using Sparsity
Cagdas Bilen, Gilles Puy, Rémi Gribonval +1
We investigate a compressive sensing framework in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using me…
Sparse image reconstruction on the sphere: implications of a new sampling theorem
J. D. McEwen, G. Puy, J. -Ph. Thiran +3
We study the impact of sampling theorems on the fidelity of sparse image reconstruction on the sphere. We discuss how a reduction in the number of samples required to represent all…
Sampling theorems and compressive sensing on the sphere
J. D. McEwen, G. Puy, J. -Ph. Thiran +3
We discuss a novel sampling theorem on the sphere developed by McEwen & Wiaux recently through an association between the sphere and the torus. To represent a band-limited signal e…
Implications for compressed sensing of a new sampling theorem on the sphere
J. D. McEwen, G. Puy, J. -Ph. Thiran +3
A sampling theorem on the sphere has been developed recently, requiring half as many samples as alternative equiangular sampling theorems on the sphere. A reduction by a factor of…
Universal and efficient compressed sensing by spread spectrum and application to realistic Fourier imaging techniques
Gilles Puy, Pierre Vandergheynst, Rémi Gribonval +1
We advocate a compressed sensing strategy that consists of multiplying the signal of interest by a wide bandwidth modulation before projection onto randomly selected vectors of an…
On Variable Density Compressive Sampling
Gilles Puy, Pierre Vandergheynst, Yves Wiaux
We advocate an optimization procedure for variable density sampling in the context of compressed sensing. In this perspective, we introduce a minimization problem for the coherence…