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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions-the B-spline factorization theorem. In particular, starting from well-localized sc ...

IEEE2009

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

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

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Mario Paolone

The paper presents a fault location procedure for distribution networks based on the wavelet analysis of the fault-generated traveling waves. In particular, the proposed procedure implements the continuous wavelet analysis applied to the voltage waveforms ...

2008

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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 New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Dimitri Nestor Alice Van De Ville

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete w ...

SPIE2007

A Fast Iterative Thresholding Algorithm for Wavelet-Regularized Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present an iterative deconvolution algorithm that minimizes a functional with a non-quadratic wavelet-domain regularization term. Our approach is to introduce subband-dependent parameters into the bound optimization framework of Daubechies et al.; it is ...

SPIE2007

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Christophe Ancey

This paper develops a new approach to computing the shear rate from the torque and rotationalvelocity measurements in a Couette rheometer. It is based on wavelet-vaguelette decomposition (WVD) proposed by Donoho (Donoho, D., Appl. Comput. Harmon. Anal. 2, ...

2005

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

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Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

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

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

The Monogenic Riesz-Laplace Wavelet Transform

Fast Wavelet-Regularized Image Deconvolution

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

A Fast Iterative Thresholding Algorithm for Wavelet-Regularized Deconvolution

Generalized L-Spline Wavelet Bases

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

The Monogenic Riesz-Laplace Wavelet Transform

Fast Wavelet-Regularized Image Deconvolution

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

A Fast Iterative Thresholding Algorithm for Wavelet-Regularized Deconvolution

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Generalized L-Spline Wavelet Bases