Half-quadratic-based iterative minimization for robust sparse representation

R He, WS Zheng, T Tan, Z Sun - IEEE transactions on pattern …, 2013 - ieeexplore.ieee.org
Robust sparse representation has shown significant potential in solving challenging
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 …

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 …

Sparse acoustical holography from iterated Bayesian focusing

J Antoni, T Le Magueresse, Q Leclere… - Journal of Sound and …, 2019 - Elsevier
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” …

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 …

Cascades of regression tree fields for image restoration

U Schmidt, J Jancsary, S Nowozin… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
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 …

Restoration of manifold-valued images by half-quadratic minimization

R Bergmann, RH Chan, R Hielscher, J Persch… - arXiv preprint arXiv …, 2015 - arxiv.org
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 …

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 …

Efficient Gaussian sampling for solving large-scale inverse problems using MCMC

C Gilavert, S Moussaoui, J Idier - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
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 …

Efficient variational Bayesian approximation method based on subspace optimization

Y Zheng, A Fraysse, T Rodet - IEEE Transactions on Image …, 2014 - ieeexplore.ieee.org
Variational Bayesian approximations have been widely used in fully Bayesian inference for
approximating an intractable posterior distribution by a separable one. Nevertheless, the …