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


Ekşioğlu E. M.

JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol.56, no.3, pp.430-440, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s10851-016-0647-7
  • Title of Journal : JOURNAL OF MATHEMATICAL IMAGING AND VISION
  • Page Numbers: pp.430-440

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.