Sparse Bayesian pMRI Reconstruction With Complex Bernoulli-Laplace Mixture Priors

Abstract

This paper presents a sparse Bayesian regularization technique for image restoration in parallel magnetic resonance imaging (pMRI). This technique is based on a hierarchical Bayesian model that solves the inverse problem of pMRI reconstruction by promoting sparsity using a Bernoulli-Laplace mixture prior. A Markov Chain Monte Carlo (MCMC) sampling technique is used to numerically approximate the target posterior. Our model allows handling complex-valued data. Promising results obtained on synthetic data demonstrate the performance of the proposed sparse Bayesian restoration model to provide accurate estimation of the target images.