Journal of Mathematical Imaging and Vision

, Volume 56, Issue 3, pp 430–440 | Cite as

Decoupled Algorithm for MRI Reconstruction Using Nonlocal Block Matching Model: BM3D-MRI

Article

Abstract

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.

Keywords

Image reconstruction Magnetic resonance Block matching BM3D Compressed sensing Sparsity 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Electronics and Communications Engineering DepartmentIstanbul Technical UniversityIstanbulTurkey

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