Publications associées à Série de Fourier

A vector field method on the distorted Fourier side and decay for wave equations with potentials

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Sparse regularization methods in ultrafast ultrasound imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Adrien Georges Jean Besson, Olivier Bernard

Ultrafast ultrasound (US) imaging based on plane wave (PW) insonification is a widely used modality nowadays. Two main types of approaches have been proposed for image reconstruction either based on classical delay-and-sum (DAS) or on Fourier reconstructio ...

Ieee2016

Learning-Based Compressive Subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The problem of recovering a structured signal

\mathbf{x} \in \mathbb{C}^p

from a set of dimensionality-reduced linear measurements

\mathbf{b} = \mathbf {A}\mathbf {x}

arises in a variety of applications, such as medical imaging, spectroscopy, Fourier o ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Victor Panaretos, Shahin Tavakoli

Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its base-pair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of localizing any inferred differences ...

American Statistical Association2016

Transforms and Operators for Directional Bioimage Analysis: A Survey

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, Martin Kurt Storath

We give a methodology-oriented perspective on directional image analysis and rotation-invariant processing. We review the state of the art in the field and make connections with recent mathematical developments in functional analysis and wavelet theory. We ...

Springer International Publishing2016

Global Optimization for Image Restoration in Optical/IR Interferometry

Ferréol Arnaud Marie Soulez

Many image reconstruction algorithms have been proposed to cope with optical/IR interferometric data. A first difficulty is to deal with the sparsity of the data and the uneven u-v coverage. This is usually overcome by imposing a priori constraints to the ...

SPIE2016

On the Continuous Steering of the Scale of Tight Wavelet Frames

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, John Paul Ward

In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be "dilated" by a procedure comparable to the operation of steering ste ...

SIAM2016

Graph-Based Representation and Coding of Multiview Images

Pascal Frossard, Bénédicte Motz

Instead of lossily coding depth images resulting in undesirable geometric distortion, graph-based representation (GBR) describes disparity information as a graph with a controllable accuracy. In this paper, we propose a more compact graphical representatio ...

Ieee2016

Magnetohydrodynamic theory of the global structure and magnetic components of geodesic acoustic modes in tokamaks

Jonathan Graves

Ideal magnetohydrodynamic (MHD) theory is used to investigate some of the fundamental properties of the geodesic acoustic continuum modes (GAMs) in tokamaks, including their global structure, their associated magnetic components both inside and outside the ...

IOP2016

Simple predictive electron transport models applied to sawtoothing plasmas

Olivier Sauter, Timothy Goodman, Antoine Pierre Emmanuel Alexis Merle, Doohyun Kim

In this work, we introduce two simple transport models to evaluate the time evolution of electron temperature and density profiles during sawtooth cycles (i.e. over a sawtooth period time-scale). Since the aim of these simulations is to estimate reliable p ...

Plasma Physics and Controled Fusion2016

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

Sparse regularization methods in ultrafast ultrasound imaging

Learning-Based Compressive Subsampling

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Transforms and Operators for Directional Bioimage Analysis: A Survey

Global Optimization for Image Restoration in Optical/IR Interferometry

On the Continuous Steering of the Scale of Tight Wavelet Frames

Graph-Based Representation and Coding of Multiview Images

Magnetohydrodynamic theory of the global structure and magnetic components of geodesic acoustic modes in tokamaks

Simple predictive electron transport models applied to sawtoothing plasmas

Graph-Based Representation and Coding of Multiview Images

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Magnetohydrodynamic theory of the global structure and magnetic components of geodesic acoustic modes in tokamaks

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Sparse regularization methods in ultrafast ultrasound imaging

Global Optimization for Image Restoration in Optical/IR Interferometry

On the Continuous Steering of the Scale of Tight Wavelet Frames

Transforms and Operators for Directional Bioimage Analysis: A Survey

Learning-Based Compressive Subsampling

Simple predictive electron transport models applied to sawtoothing plasmas