title: Accelerated MRI using iterative non-local shrinkage.
abstract: We introduce a fast iterative non-local shrinkage algorithm to recover MRI data from undersampled Fourier measurements. This approach is enabled by the reformulation of current non-local schemes as an alternating algorithm to minimize a global criterion. The proposed algorithm alternates between a non-local shrinkage step and a quadratic subproblem. The resulting algorithm is observed to be considerably faster than current alternating non-local algorithms. We use efficient continuation strategies to minimize local minima issues. The comparisons of the proposed scheme with state-of-the-art regularization schemes show a considerable reduction in alias artifacts and preservation of edges.
authors.forename: Yasir Q
authors.initials: YQ
authors.lastname: Mohsin
authors.forename: Gregory
authors.initials: G
authors.lastname: Ongie
authors.forename: Mathews
authors.initials: M
authors.lastname: Jacob
mesh_terms: D000054:Acceleration; D000465:Algorithms; D006801:Humans; D008279:Magnetic Resonance Imaging / Q000379:methods*; D009622:Noise