an:06645622
Zbl 1386.68204
Eksioglu, Ender M.
Decoupled algorithm for MRI reconstruction using nonlocal block matching model: BM3D-MRI
EN
J. Math. Imaging Vis. 56, No. 3, 430-440 (2016).
00358692
2016
j
68U10 92C55 94A08
image reconstruction; magnetic resonance; block matching; BM3D; compressed sensing; sparsity
Summary: The block matching 3D (BM3D) is an efficient image model, which has found few applications other than its niche area of denoising. We will develop a magnetic resonance imaging (MRI) reconstruction algorithm, which uses decoupled iterations alternating over a denoising step realized by the BM3D algorithm and a reconstruction step through an optimization formulation. The decoupling of the two steps allows the adoption of a strategy with a varying regularization parameter, which contributes to the reconstruction performance. This new iterative algorithm efficiently harnesses the power of the nonlocal, image-dependent BM3D model. The MRI reconstruction performance of the proposed algorithm is superior to state-of-the-art algorithms from the literature. A convergence analysis of the algorithm is also presented.