Publications related to Compressed sensing for wide-field radio interferometric imaging

Wavelet transform on manifolds: old and new approaches

Given a two-dimensional smooth manifold M and a bijective pro jection p from M on a ﬁxed plane (or a subset of that plane), we explore systematically how a wavelet transform (WT) on M may be generated from a plane WT by the inverse projection. Examples whe ...

Elsevier2010

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

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

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

Spread spectrum for imaging techniques in radio interferometry and strings detection

Yves Wiaux, Gilles Puy

This poster is a summary of recent work published in: Spread spectrum for imaging techniques in radio interferometry, Y. Wiaux, G. Puy, Y. Boursier, and P. Vandergheynst, Mon. Not. R. Astron. Soc., 2009, Preprint arXiv:0907.0944v1. We consider the probe of ...

2009

On Random Tomography with Unobservable Projection Angles

Victor Panaretos

We formulate and investigate a statistical inverse problem of a random tomographic nature, where a probability density function on

\mathbb{R}^3

is to be recovered from observation of finitely many of its two-dimensional projections in random and unobserv ...

Institute of Mathematical Statistics2009

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

Pierre Vandergheynst, Yves Wiaux, Gilles Puy, Laurent Jacques

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of the signals. We propose new generi ...

2008

On Polyhedral Projection and Parametric Programming

Colin Neil Jones

This paper brings together two fundamental topics: polyhedral projection and parametric linear programming. First, it is shown that, given a parametric linear program (PLP), a polyhedron exists whose projection provides the solution to the PLP. Second, the ...

2008

The structure of the prokaryotic cyclic nucleotide-modulated potassium channel MIoK1 at 16 angstrom resolution

Henning Paul-Julius Stahlberg

The gating ring of cyclic nucleotide-modulated channels is proposed to be either a two-fold symmetric dimer of dinners or a four-fold symmetric tetramer based on high-resolution structure data of soluble cyclic nucleotide-binding domains and functional dat ...

Elsevier BV2007

Trajectory Tracking through Overactuation for an Optical Delay Line

Denis Gillet, Philippe Müllhaupt, Yvan Michellod

Nano-positioning devices constitute the mechatronic heart of the VLTI (Very Large Telescope Interferometer) for the ESO (European Southern Observatory) astrometry instrumentation. In the context of the development of a new optical Differential Delay Line ( ...

2007

Compressed sensing for wide-field radio interferometric imaging

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Wavelet transform on manifolds: old and new approaches

Spread spectrum for interferometric and magnetic resonance imaging

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

Spread spectrum for imaging techniques in radio interferometry

Spread spectrum for imaging techniques in radio interferometry and strings detection

On Random Tomography with Unobservable Projection Angles

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

On Polyhedral Projection and Parametric Programming

The structure of the prokaryotic cyclic nucleotide-modulated potassium channel MIoK1 at 16 angstrom resolution

Trajectory Tracking through Overactuation for an Optical Delay Line

Wavelet transform on manifolds: old and new approaches

Spread spectrum for interferometric and magnetic resonance imaging

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

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

Spread spectrum for imaging techniques in radio interferometry and strings detection

Trajectory Tracking through Overactuation for an Optical Delay Line

Spread spectrum for imaging techniques in radio interferometry

On Random Tomography with Unobservable Projection Angles

The structure of the prokaryotic cyclic nucleotide-modulated potassium channel MIoK1 at 16 angstrom resolution

On Polyhedral Projection and Parametric Programming