Gilles Puy

This person is no longer with EPFL

About
Privacy
Disclaimer

Graph Chatbot

Related publications (41)

Spread Spectrum for Universal Compressive Sampling

Pierre Vandergheynst, Yves Wiaux, Rémi Gribonval, Gilles Puy

We propose a universal and efficient compressive sampling strategy based on the use of a spread spectrum technique. The method essentially consists in a random pre-modulation of the signal of interest followed by projections onto randomly selected vectors ...

2011

On Variable Density Compressive Sampling

Pierre Vandergheynst, Yves Wiaux, Gilles Puy

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 between the sparsity and sensing bases, whose solution provides an optimize ...

IEEE Institute of Electrical and Electronics Engineers2011

Implications for compressed sensing of a new sampling theorem on the sphere

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

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 two in the number of samples required to represent a band-limited signal on ...

2011

Accelerated MR imaging with spread spectrum encoding

Jean-Philippe Thiran, Rolf Gruetter, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, José Pedro Rebelo Ferreira Marques, Gilles Puy

We advocate the use of a novel compressed sensing technique for accelerating the magnetic resonance image acquisition process, coined spread spectrum MR imaging or simply s2MRI. The method resides in pre-modulating the signal of interest by a linear chirp, ...

2011

Spread spectrum for interferometric and magnetic resonance imaging

Jean-Philippe Thiran, Rolf Gruetter, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy

We consider images probed through incomplete and noisy Fourier coverages, both in the context of radio interferometry (RI) and of magnetic resonance imaging (MRI). We show that the quality of signal reconstruction can be signiﬁcantly enhanced by the introd ...

IEEE Signal Process. Soc.2010

Spread spectrum for compressed sensing techniques in magnetic resonance imaging

Jean-Philippe Thiran, Rolf Gruetter, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy

Magnetic resonance imaging (MRI) probes signals through Fourier measurements. Accelerating the acquisition process is of major interest for various MRI applications. The recent theory of compressed sensing shows that sparse or compressible signals may be r ...

IEEE Signal Process. Soc.2010

Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

Pierre Vandergheynst, Yves Wiaux, Gilles Puy

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background (CMB), from radio-interferometric data at arcminute resolution. Radio interferometry provides incomplete and noisy Fourier measurement ...

Wiley-Blackwell2010

Compressed sensing for radio interferometry: prior-enhanced Basis Pursuit imaging techniques

Pierre Vandergheynst, Yves Wiaux, Gilles Puy, Laurent Jacques

We propose and assess the performance of new imaging techniques for radio interferometry that rely on the versatility of the compressed sensing framework to account for prior information on the signals. The present manuscript represents a summary of recent ...

2009

Compressed sensing for radio interferometry: spread spectrum imaging techniques

Pierre Vandergheynst, Yves Wiaux, Gilles Puy

We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fouri ...

2009

Spread spectrum for imaging techniques in radio interferometry

Pierre Vandergheynst, Yves Wiaux, Gilles Puy

We consider the probe of astrophysical signals through radio interferometers with small field of view and baselines with non-negligible and constant component in the pointing direction. In this context, the visibilities measured essentially identify with a ...

Wiley-Blackwell2009

Page 4 of 5

Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

Pierre Vandergheynst, Yves Wiaux, Gilles Puy

Wiley-Blackwell2010