Half-quadratic-based iterative minimization for robust sparse representation
Robust sparse representation has shown significant potential in solving challenging
problems in computer vision such as biometrics and visual surveillance. Although several …
problems in computer vision such as biometrics and visual surveillance. Although several …
Realistic analytical phantoms for parallel magnetic resonance imaging
M Guerquin-Kern, L Lejeune… - … on Medical Imaging, 2011 - ieeexplore.ieee.org
The quantitative validation of reconstruction algorithms requires reliable data. Rasterized
simulations are popular but they are tainted by an aliasing component that impacts the …
simulations are popular but they are tainted by an aliasing component that impacts the …
A fast wavelet-based reconstruction method for magnetic resonance imaging
M Guerquin-Kern, M Haberlin… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
In this work, we exploit the fact that wavelets can represent magnetic resonance images
well, with relatively few coefficients. We use this property to improve magnetic resonance …
well, with relatively few coefficients. We use this property to improve magnetic resonance …
Sparse acoustical holography from iterated Bayesian focusing
In a previous work, an attempt was made to give a unified view of some acoustic holographic
methods within a Bayesian framework. One advantage of the so-called “Bayesian Focusing” …
methods within a Bayesian framework. One advantage of the so-called “Bayesian Focusing” …
The equivalence of half-quadratic minimization and the gradient linearization iteration
M Nikolova, RH Chan - IEEE Transactions on Image …, 2007 - ieeexplore.ieee.org
A popular way to restore images comprising edges is to minimize a cost function combining
a quadratic data-fidelity term and an edge-preserving (possibly nonconvex) regularization …
a quadratic data-fidelity term and an edge-preserving (possibly nonconvex) regularization …
Cascades of regression tree fields for image restoration
Conditional random fields (CRFs) are popular discriminative models for computer vision and
have been successfully applied in the domain of image restoration, especially to image …
have been successfully applied in the domain of image restoration, especially to image …
Restoration of manifold-valued images by half-quadratic minimization
The paper addresses the generalization of the half-quadratic minimization method for the
restoration of images having values in a complete Riemannian manifold. We recall the half …
restoration of images having values in a complete Riemannian manifold. We recall the half …
A sparsity-based method for the estimation of spectral lines from irregularly sampled data
S Bourguignon, H Carfantan… - IEEE Journal of Selected …, 2007 - ieeexplore.ieee.org
We address the problem of estimating spectral lines from irregularly sampled data within the
framework of sparse representations. Spectral analysis is formulated as a linear inverse …
framework of sparse representations. Spectral analysis is formulated as a linear inverse …
Efficient Gaussian sampling for solving large-scale inverse problems using MCMC
The resolution of many large-scale inverse problems using MCMC methods requires a step
of drawing samples from a high dimensional Gaussian distribution. While direct Gaussian …
of drawing samples from a high dimensional Gaussian distribution. While direct Gaussian …
Efficient variational Bayesian approximation method based on subspace optimization
Variational Bayesian approximations have been widely used in fully Bayesian inference for
approximating an intractable posterior distribution by a separable one. Nevertheless, the …
approximating an intractable posterior distribution by a separable one. Nevertheless, the …