Publications related to A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Multiscale analysis of high resolution digital elevation models using the wavelet transform

At the end of the nineties the emergence of high resolution (1 m) digital elevation models (DEMs) settled the context of high precision geomorphological analysis. These new elevation models permitted to reveal structures that remained heretofore undetectab ...

EPFL2010

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 iterative sh ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

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

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...

Institute of Electrical and Electronics Engineers2009

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Michaël Unser, Chandra Sekhar Seelamantula

This paper deals with the problem of time-resolved fluorescence diffuse optical tomography. We propose a new reconstruction scheme based on a multi-resolution approximation of the time-resolved signals. The underlying basis functions are exponential B-spli ...

IEEE2009

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a fast variational deconvolution algorithm that minimizes a quadratic data term subject to a regularization on the

\ell ^{ 1 }

-norm of the wavelet coefficients of the solution. Previously available methods have essentially consisted in alte ...

IEEE2008

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain l(1)-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a "thresholded Landweber" (TL) algorithm. While this iterative procedure is simple to implement, it is known to converge ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain

ℓ _{ 1 }

-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a “thresholded Landweber” (TL) algorithm. While this iterative procedure is simple to implement, it is known to ...

IEEE2008

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

Fast Wavelet-Regularized Image Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a modified version of the deconvolution algorithm introduced by Figueiredo and Nowak, which leads to a substantial acceleration. The algorithm essentially consists in alternating between a Landweber-type iteration and a wavelet-domain denoising ...

IEEE2007

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

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Multiscale analysis of high resolution digital elevation models using the wavelet transform

Accelerated Wavelet-Regularized Deconvolution For 3-D Fluorescence Microcopy

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Fast Wavelet-Regularized Image Deconvolution

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Accelerated Wavelet-Regularized Deconvolution For 3-D Fluorescence Microcopy

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Multiscale analysis of high resolution digital elevation models using the wavelet transform

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Fast Wavelet-Regularized Image Deconvolution