Publications related to Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

A Spectral Method for Generating Surrogate Graph Signals

Dimitri Nestor Alice Van De Ville, Elvira Pirondini, Martina Coscia, Anna Vybornova

The increasing availability of network data is leading to a growing interest in processing of signals on graphs. One notable tool for extending conventional signal-processing operations to networks is the graph Fourier transform that can be obtained as the ...

Institute of Electrical and Electronics Engineers2016

Audio inpainting with similarity graphs

Nathanaël Perraudin

In this contribution, we present a method to compensate for long duration data gaps in audio signals, in particular music. To achieve this task, a similarity graph is constructed, based on a short-time Fourier analysis of reliable signal segments, e.g. the ...

2016

Vertex-Frequency Analysis on Graphs

Pierre Vandergheynst, Benjamin Ricaud, David Shuman

One of the key challenges in the area of signal processing on graphs is to design dictionaries and transform methods to identify and exploit structure in signals on weighted graphs. To do so, we need to account for the intrinsic geometric structure of the ...

Academic Press Inc Elsevier Science2016

Models of crowding: a comparative study

Michael Herzog, Gregory Francis, Adrien Christophe Doerig, Aaron Michael Clarke

In crowding, the perception of an object deteriorates in the presence of nearby elements. Obviously, crowding is a ubiquitous phenomenon, since elements are rarely seen in isolation. Despite this ubiquity, there exists no consensus on how to model crowding ...

2016

Magnetic resonance spectroscopic imaging at superresolution: Overview and perspectives

Dimitri Nestor Alice Van De Ville, Jeffrey Adam Kasten, François Lazeyras

The notion of non-invasive, high-resolution spatial mapping of metabolite concentrations has long enticed the medical community. While magnetic resonance spectroscopic imaging (MRSI) is capable of achieving the requisite spatio-spectral localization, it ha ...

Academic Press Inc Elsevier Science2016

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Ferréol Arnaud Marie Soulez

We have recently shown that a posteriori co-phasing of multi-spectral interferograms was possible.(1) In this contribution, we extend our approach so that it can be applied to actual data as provided by AMBER(2) or MATISSE instruments. The main advantage o ...

SPIE2016

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

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

Joachim Krieger, Roland Donninger

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

3D-Printed Shepp-Logan Phantom as a Real-World Benchmark for MRI

Dimitri Nestor Alice Van De Ville, Jeffrey Adam Kasten, François Lazeyras

Purpose: As prescribed and reliable geometrical entities, phantoms have served as indispensable validation tools in a variety of MR-related topics. Though a number of phantoms have been conceived, certain applications may warrant highly customized geometri ...

Wiley-Blackwell2016

Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

Graph Chatbot

Chat with Graph Search

A Spectral Method for Generating Surrogate Graph Signals

Audio inpainting with similarity graphs

Vertex-Frequency Analysis on Graphs

Models of crowding: a comparative study

Magnetic resonance spectroscopic imaging at superresolution: Overview and perspectives

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Learning-Based Compressive Subsampling

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

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

3D-Printed Shepp-Logan Phantom as a Real-World Benchmark for MRI

A Spectral Method for Generating Surrogate Graph Signals

Models of crowding: a comparative study

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

Audio inpainting with similarity graphs

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Vertex-Frequency Analysis on Graphs

Magnetic resonance spectroscopic imaging at superresolution: Overview and perspectives

Learning-Based Compressive Subsampling

3D-Printed Shepp-Logan Phantom as a Real-World Benchmark for MRI

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