Publications related to Wavelet-Regularized Reconstruction For Rapid MRI

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

Integrated Modeling And Reconstruction With Sparsity Constraints For fDOT

Michaël Unser, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We present a numerical framework for Fluorescence Diffuse Optical Tomography (fDOT) that combines a forward model together with an iterative reconstruction procedure. Using rapid linear solvers, we derived an efficient reconstruction strategy for quadratic ...

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

Integrated Modeling and Reconstruction with Sparsity Constraints for fDOT

Michaël Unser, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We present a numerical framework for Fluorescence Diffuse Optical Tomography (fDOT) that combines a forward model together with an iterative reconstruction procedure. Using rapid linear solvers, we derived an efficient reconstruction strategy for quadrati ...

IEEE2009

Near-Optimal Bayesian Localization via Incoherence and Sparsity

Volkan Cevher

This paper exploits recent developments in sparse approximation and compressive sensing to efficiently perform localization in a sensor network. We introduce a Bayesian framework for the localization problem and provide sparse approximations to its optimal ...

2009

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

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

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

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

Steerable wavelet analysis of CMB structures alignment

Pierre Vandergheynst, Yves Wiaux

This paper reviews the application of a novel methodology for analysing the isotropy of the universe by probing the alignment of local structures in the CMB. The strength of the proposed methodology relies on the steerable wavelet filtering of the CMB sign ...

2006

Guest Editorial: Wavelets in Medical Imaging

Michaël Unser

I. Introduction Wavelets are the result of collective efforts that recognized common threads between ideas and concepts that had been independently developed and investigated by distinct research communities. They provide a unifying framework for decompos ...

2003

Wavelet-Regularized Reconstruction For Rapid MRI

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Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Integrated Modeling And Reconstruction With Sparsity Constraints For fDOT

Integrated Modeling and Reconstruction with Sparsity Constraints for fDOT

Near-Optimal Bayesian Localization via Incoherence and Sparsity

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

WSPM: Wavelet-Based Statistical Parametric Mapping

Low-Rate Reduced Complexity Image Compression using Directionlets

Fast directional correlation on the sphere with steerable filters

Steerable wavelet analysis of CMB structures alignment

Guest Editorial: Wavelets in Medical Imaging

Integrated Modeling and Reconstruction with Sparsity Constraints for fDOT

Integrated Modeling And Reconstruction With Sparsity Constraints For fDOT

Low-Rate Reduced Complexity Image Compression using Directionlets

Guest Editorial: Wavelets in Medical Imaging

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Fast directional correlation on the sphere with steerable filters

WSPM: Wavelet-Based Statistical Parametric Mapping

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Near-Optimal Bayesian Localization via Incoherence and Sparsity

Steerable wavelet analysis of CMB structures alignment