Publications related to Wavelet-Based Reconstruction for Magnetic Resonance Imaging

Algorithms for the Computation of Continuous Transforms of Rectilinear Polygons from IC Layouts

In this work, we present a novel way of computing the continuous Haar, Fourier and cosine series coefficients of rectilinear polygons. We derive algorithms to compute the inner products with the continuous basis functions directly from the vertices of the ...

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

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

Image Reconstruction in the Gigavision Camera

Martin Vetterli, Edoardo Charbon, Sabine Süsstrunk, Luciano Sbaiz, Feng Yang

Recently we have proposed a new image device called the gigavision camera. The main feature of this camera is that the pixels have a binary response. The response function of a gigavision sensor is non-linear and similar to a logarithmic function, which ma ...

2009

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

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

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

A fast computational method is given for the Fourier transform of the polyharmonic B-spline autocorrelation sequence in d dimensions. The approximation error is exponentially decaying with the number of terms taken into account. The algorithm improves spee ...

Institute of Electrical and Electronics Engineers2008

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

Inverse problems in acoustic tomography

Ivana Jovanovic

Acoustic tomography aims at recovering the unknown parameters that describe a field of interest by studying the physical characteristics of sound propagating through the considered field. The tomographic approach is appealing in that it is non-invasive and ...

EPFL2008

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

Activelets and sparsity: A new way to detect brain activation from fMRI data - art. no. 67010Y

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

FMRI time course processing is traditionally performed using linear regression followed by statistical hypothesis testing. While this analysis method is robust against noise, it relies strongly on the signal model. In this paper, we propose a non-parametri ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007

Wavelet-Based Reconstruction for Magnetic Resonance Imaging

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Algorithms for the Computation of Continuous Transforms of Rectilinear Polygons from IC Layouts

Wavelet-Regularized Reconstruction For Rapid MRI

Wavelet-Regularized Reconstruction for Rapid MRI

Image Reconstruction in the Gigavision Camera

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Inverse problems in acoustic tomography

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

Activelets and sparsity: A new way to detect brain activation from fMRI data - art. no. 67010Y

Algorithms for the Computation of Continuous Transforms of Rectilinear Polygons from IC Layouts

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Inverse problems in acoustic tomography

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

Wavelet-Regularized Reconstruction for Rapid MRI

Wavelet-Regularized Reconstruction For Rapid MRI

Image Reconstruction in the Gigavision Camera

Activelets and sparsity: A new way to detect brain activation from fMRI data - art. no. 67010Y

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

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions