Publications related to The Sparsity of Cycle Spinning for Wavelet-Based Solutions of Linear Inverse Problems

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

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Ildar Khalidov

Tomographic reconstruction from positron emission tomography (PET) data is an ill-posed problem that requires regularization. An attractive approach is to impose an

\ell_{ 1 }

-regularization constraint, which favors sparse solutions in the wavelet dom ...

Institute of Electrical and Electronics Engineers2008

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

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

WSPM: Wavelet-Based Statistical Parametric Mapping

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

Recently, we have introduced an integrated framework that combines wavelet-based processing with statistical testing in the spatial domain. In this paper, we propose two important enhancements of the framework. First, we revisit the underlying paradigm; i. ...

Elsevier2007

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

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Bettina Schaefli

Extreme hydrological events are often triggered by exceptional co-variations of the relevant hydrometeorological processes and in particular by exceptional co-oscillations at various temporal scales. Wavelet and cross wavelet spectral analysis offers promi ...

Elsevier2007

Low-Rate Reduced Complexity Image Compression using Directionlets

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

The standard separable two-dimensional (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 capture efficiently one-dimensional (1-D) disco ...

2006

Image compression using an edge adapted redundant dictionary and wavelets

Pierre Vandergheynst, Lorenzo Granai, Lorenzo Peotta

Low bit rate image coding is an important problem regarding applications such as storage on low memory devices or streaming data on the internet. The state of the art in image compression is to use 2-D wavelets. The advantages of wavelet bases lie in their ...

2006

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006

The Sparsity of Cycle Spinning for Wavelet-Based Solutions of Linear Inverse Problems

Graph Chatbot

Chat with Graph Search

Wavelet-Regularized Reconstruction For Rapid MRI

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

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

Space-frequency quantization for image compression with directionlets

WSPM: Wavelet-Based Statistical Parametric Mapping

Fast Wavelet-Regularized Image Deconvolution

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Low-Rate Reduced Complexity Image Compression using Directionlets

Image compression using an edge adapted redundant dictionary and wavelets

Fast directional correlation on the sphere with steerable filters

Space-frequency quantization for image compression with directionlets

WSPM: Wavelet-Based Statistical Parametric Mapping

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

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Fast Wavelet-Regularized Image Deconvolution

Wavelet-Regularized Reconstruction For Rapid MRI

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Fast directional correlation on the sphere with steerable filters

Low-Rate Reduced Complexity Image Compression using Directionlets

Image compression using an edge adapted redundant dictionary and wavelets