Publications related to Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

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

Wavelet-Regularized Reconstruction for Rapid MRI

Michaël Unser, Dimitri Nestor Alice Van De Ville, Cédric René Jean Vonesch, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We propose a reconstruction scheme adapted to MRI that takes advantage of a sparsity constraint in the wavelet domain. We show that artifacts are significantly reduced compared to conventional reconstruction methods. Our approach is also competitive with ...

IEEE2009

Blocking artifacts in speech/audio: Dynamic auditory model-based characterization and optimal time-frequency smoothing

Chandra Sekhar Seelamantula

We revisit the problem of blocking artifacts and their suppression in generic frame-based speech/audio applications. We provide a perceptual characterization of the artifacts by using dynamic auditory models. We propose some short-time-Fourier-transform-ba ...

2009

Wavelet-Regularized Reconstruction For Rapid MRI

Michaël Unser, Dimitri Nestor Alice Van De Ville, Cédric René Jean Vonesch, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We propose a reconstruction scheme adapted to MRI that takes advantage of a sparsity constraint in the wavelet domain. We show that, artifacts are significantly reduced compared to conventional reconstruction methods. Our approach is also competitive with ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Adaptive multiresolution schemes with local time stepping for two- dimensional degenerate reaction-diffusion systems

Ricardo Esteban Ruiz Baier

Spatially two-dimensional, possibly degenerate reaction–diffusion systems, with a focus on models of combustion, pattern formation and chemotaxis, are solved by a fully adaptive multiresolution scheme. Solutions of these equations exhibit steep gradients, ...

Elsevier2009

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

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

Space-frequency quantization for image compression with directionlets

Martin Vetterli, Vladan Velisavljevic

The standard separable 2-D wavelet transform (WT) has recently achieved a great success in image processing because it provides a sparse representation of smooth images. However, it fails to efficiently capture 1-D discontinuities, like edges or contours. ...

2007

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

Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

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

Wavelet-Regularized Reconstruction for Rapid MRI

Blocking artifacts in speech/audio: Dynamic auditory model-based characterization and optimal time-frequency smoothing

Wavelet-Regularized Reconstruction For Rapid MRI

Adaptive multiresolution schemes with local time stepping for two- dimensional degenerate reaction-diffusion systems

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

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

Space-frequency quantization for image compression with directionlets

Fast Wavelet-Regularized Image Deconvolution

Wavelet-Regularized Reconstruction for Rapid MRI

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

Wavelet-Regularized Reconstruction For Rapid MRI

Adaptive multiresolution schemes with local time stepping for two- dimensional degenerate reaction-diffusion systems

Space-frequency quantization for image compression with directionlets

Fast Wavelet-Regularized Image Deconvolution

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

Blocking artifacts in speech/audio: Dynamic auditory model-based characterization and optimal time-frequency smoothing

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

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