Publications related to A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Quadtree Structured Image Approximation for Denoising and Interpolation

Adam James Scholefield, Pier Luigi Dragotti

The success of many image restoration algorithms is often due to their ability to sparsely describe the original signal. Shukla et al. proposed a compression algorithm, based on a sparse quadtree decomposition model, which could optimally represent piecewi ...

Institute of Electrical and Electronics Engineers2014

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy

Michaël Unser, Cédric René Jean Vonesch, Hagay Kirshner

Super-resolution localization microscopy relies on sparse activation of photo-switchable probes. Such activation, however, introduces limited temporal resolution. High-density imaging overcomes this limitation by allowing several neighboring probes to be a ...

IEEE2013

Wavelet-Based Reconstruction for Magnetic Resonance Imaging

Matthieu Guerquin-Kern

Magnetic resonance imaging (MRI) scanners produce raw measurements that are unfit to direct interpretation, unless an algorithmic step, called reconstruction, is introduced. Up to the last decade, this reconstruction was performed by algorithms of moderate ...

EPFL2012

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

Andreas Peter Burg, Georgios Karakonstantis, Aviinaash Sankaranarayanan

In this paper, a low complexity system for spectral analysis of heart rate variability (HRV) is presented. The main idea of the proposed approach is the implementation of the Fast-Lomb periodogram that is a ubiquitous tool in spectral analysis, using a wav ...

2012

Sparse Approximation Using M-Term Pursuit and Application in Image and Video Coding

Pascal Frossard, Pierre Vandergheynst, Adel Rahmoune

This paper introduces a novel algorithm for sparse approximation in redundant dictionaries called the M-term pursuit (MTP). This algorithm decomposes a signal into a linear combination of atoms that are selected in order to represent the main signal compon ...

Institute of Electrical and Electronics Engineers2012

Strongly feasible stochastic model predictive control

Milan Korda

In this article we develop a systematic approach to enforce strong feasibility of probabilistically constrained stochastic model predictive control problems for linear discrete-time systems under affine disturbance feedback policies. Two approaches are pre ...

2011

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch, Florian Luisier

We present a fast algorithm for image restoration in the presence of Poisson noise. Our approach is based on (1) the minimization of an unbiased estimate of the MSE for Poisson noise, (2) a linear parametrization of the denoising process and (3) the preser ...

Elsevier2010

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Michaël Unser, Matthieu Guerquin-Kern, Ilker Bayram, Raquel Terrés Cristofani

Modern deconvolution algorithms are often specified as minimization problems involving a non-quadratic regularization functional. When the latter is a wavelet-domain

ℓ _{ 1 }

-norm that favors sparse solutions, the problem can be solved by a simple it ...

IEEE2010

Fast and automated wavelet-regularized image restoration in fluorescence microscopy

Cédric René Jean Vonesch

The subject of this thesis is image restoration, that is, deconvolution and denoising. Our work is motivated by applications in the rapidly expanding field of biological imaging and in particular fluorescence microscopy. Inverse problems in this area typic ...

EPFL2009

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

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Quadtree Structured Image Approximation for Denoising and Interpolation

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy

Wavelet-Based Reconstruction for Magnetic Resonance Imaging

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

Sparse Approximation Using M-Term Pursuit and Application in Image and Video Coding

Strongly feasible stochastic model predictive control

Optimally Localized Wavelets and Smoothing Kernels

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Fast and automated wavelet-regularized image restoration in fluorescence microscopy

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Strongly feasible stochastic model predictive control

Quadtree Structured Image Approximation for Denoising and Interpolation

Wavelet-Based Reconstruction for Magnetic Resonance Imaging

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

Sparse Approximation Using M-Term Pursuit and Application in Image and Video Coding

Optimally Localized Wavelets and Smoothing Kernels

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

Fast and automated wavelet-regularized image restoration in fluorescence microscopy