Concept

Bandlimiting

Publications associées (83)

Sparse image reconstruction on the sphere: implications of a new sampling theorem

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

A new sampling theorem on the sphere has been developed recently, reducing the number of samples required to represent a band-limited signal by a factor of two for equiangular sampling schemes. For signals sparse in a spatially localised measure, such as i ...

Institute of Electrical and Electronics Engineers2013

Autocalibrated Signal Reconstruction From Linear Measurements Using Adaptive Gamp

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Aurélien Bourquard

In this paper, we reconstruct signals from underdetermined linear measurements where the componentwise gains of the measurement system are unknown a priori. The reconstruction is performed through an adaptation of the message-passing algorithm called adapt ...

Ieee2013

Autocalibrated Signal Reconstruction from Linear Measurements Using Adaptive GAMP

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Aurélien Bourquard

IEEE2013

Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

Pierre Vandergheynst, Mohammad Golbabaee

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS) techniques, which e ...

Institute of Electrical and Electronics Engineers2013

On the computation of directional scale-discretized wavelet transforms on the sphere

Pierre Vandergheynst, Yves Wiaux, Jason Douglas McEwen

We review scale-discretized wavelets on the sphere, which are directional and allow one to probe oriented struc- ture in data defined on the sphere. Furthermore, scale-discretized wavelets allow in practice the exact synthesis of a signal from its wavelet ...

SPIE2013

Approaching the Rate-Distortion Limit by spatial Coupling with Belief Propagation and Decimation

Nicolas Macris, Vahid Aref, Marc Vuffray

We investigate an encoding scheme for lossy compression based on spatially coupled Low-Density Generator-Matrix codes. The degree distributions are regular, or are Poisson on the code-bit side and check-regular which allows use for any compression rate. Th ...

2013

On the Bandwidth of the Plenoptic Function

Martin Vetterli, Minh Do, Davy Marchand-Maillet

The plenoptic function (POF) provides a powerful conceptual tool for describing a number of problems in image/video processing, vision, and graphics. For example, image based-rendering can be seen as sampling and interpolation of the POF. In such applicati ...

Institute of Electrical and Electronics Engineers2012

Lossy source coding via spatially coupled LDGM ensembles

Rüdiger Urbanke, Nicolas Macris, Vahid Aref, Marc Vuffray

We study a new encoding scheme for lossy source compression based on spatially coupled low-density generatormatrix codes. We develop a belief-propagation guided-decimation algorithm, and show that this algorithm allows to approach the optimal distortion of ...

Ieee2012

Distributed Successive Refinement of Multiview Images Using Broadcast Advantage

Martin Vetterli, Guillermo Barrenetxea Kobas, Zichong Chen

In environmental monitoring applications, having multiple cameras focus on common scenery increases robustness of the system. To save energy based on user demand, successive refinement image coding is important, as it allows us to progressively request bet ...

Institute of Electrical and Electronics Engineers2012

A novel sampling theorem on the sphere

Yves Wiaux, Jason Douglas McEwen

We develop a novel sampling theorem on the sphere and corresponding fast algorithms by associating the sphere with the torus through a periodic extension. The fundamental property of any sampling theorem is the number of samples required to represent a ban ...

Institute of Electrical and Electronics Engineers2011

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