Publications related to An optimal preconditioned FFT-accelerated finite element solver for homogenization

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

A Novel Preprocessing Tool to Enhance ECG R-wave Extraction

Jean-Marc Vesin, Sasan Yazdani

Various approaches have been proposed to detect the R-waves in the ECG. From the derivative-based to more complicated wavelet transform methods, the main goal of these approaches is to extract the R-waves from the perturbations present in the ECG. Our stud ...

2016

Divergence-Free Wavelet Frames

Michaël Unser, Emrah Bostan, John Paul Ward

We propose an efficient construction of wavelet frames in any number of dimensions that are divergence-free. Our approach is based on applying the Leray projector, which is scale-invariant, to a standard wavelet frame. We prove that the projected wavelets ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

Magnetic resonance spectroscopic imaging (MRSI) is a rapidly developing medical imaging modality, capable of conferring both spatial and spectral information content, and has become a powerful clinical tool. The ability to non-invasively observe spatial ma ...

EPFL2015

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Matthieu Martin Jean-André Simeoni

The Square Kilometre Array (SKA) will form the largest radio telescope ever built, generating on the order of one terabyte of data per second. To reduce the data flow sent to the central processor, hierarchical designs have been proposed: the data is prima ...

2015

Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach

Michaël Unser, Suliana Manley, Lina Carlini

Localization microscopy such as STORM/PALM can achieve a nanometer scale spatial resolution by iteratively localizing fluorescence molecules. It was shown that imaging of densely activated molecules can accelerate temporal resolution which was considered a ...

Spie-Int Soc Optical Engineering2015

Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising

Jan Sickmann Hesthaven, Paolo Gatto

The fractional Laplacian operator (−∆)s on a bounded domain Ω can be realized as a Dirichlet-to-Neumann map for a degenerate elliptic equation posed in the semi-infinite cylinder Ω × (0,∞). In fact, the Neumann trace on Ω involves a Muckenhoupt weight that ...

Springer Verlag2015

Design of Steerable Wavelets to Detect Multifold Junctions

Michaël Unser, Zsuzsanna Püspöki, Cédric René Jean Vonesch, Virginie Sophie Uhlmann

We propose a framework for the detection of junctions in images. Although the detection of edges and key points is a well examined and described area, the multiscale detection of junction centers, especially for odd orders, poses a challenge in pattern ana ...

IEEE2015

Beyond Interferometers Based on Silicon-Air Bragg Reflectors: Toward On-Chip Optical Microinstruments-A Review

Maurine Malak Karam Awadallah

In this paper, we review recent advances in optical microinstruments based on distributed Bragg reflectors (DBR) focusing mainly on two application areas: spectrometry and profilometry. For spectrometry applications, we consider state-of-the-art architectu ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Isaac Amidror

Sampling moiré effects occur due to aliasing (foldover) when a continuous periodic signal g(x) is sampled using a sampling frequency that does not respect the Nyquist condition. However, visible beating artifacts may also occur when g(x) is sampled using s ...

2015

An optimal preconditioned FFT-accelerated finite element solver for homogenization

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

A Novel Preprocessing Tool to Enhance ECG R-wave Extraction

Divergence-Free Wavelet Frames

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach

Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising

Design of Steerable Wavelets to Detect Multifold Junctions

Beyond Interferometers Based on Silicon-Air Bragg Reflectors: Toward On-Chip Optical Microinstruments-A Review

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

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

Superresolution Reconstruction for Magnetic Resonance Spectroscopic Imaging Exploiting Low-Rank Spatio-Spectral Structure

Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach

Divergence-Free Wavelet Frames

A Novel Preprocessing Tool to Enhance ECG R-wave Extraction

Design of Steerable Wavelets to Detect Multifold Junctions

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising

Beyond Interferometers Based on Silicon-Air Bragg Reflectors: Toward On-Chip Optical Microinstruments-A Review

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis