Denoising AMP for MRI reconstruction: BM3D-AMP-MRI

Ender M. Eksioglu, A. Korhan Tanc*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)

Abstract

There is a recurrent idea being promoted in the recent literature on iterative solvers for imaging problems, the idea being the use of an actual denoising step in each iteration. We give a brief review of some algorithms from the literature which utilize this idea, and we broadly label these algorithms as Iterative Denoising Regularization (IDR) algorithms. We extend the Denoising Approximate Message Passing (D-AMP) algorithm from this list to the magnetic resonance imaging (MRI) reconstruction problem. We utilize Block Matching 3D (BM3D) as the denoiser of choice for the introduced MRI reconstruction algorithm. The application of the denoiser for complex-valued data necessitates a special handling of the denoiser. The use of the adaptive and image-dependent BM3D image model prior together with D-AMP results in highly competitive MRI reconstruction performance.

Original languageEnglish
Pages (from-to)2090-2109
Number of pages20
JournalSIAM Journal on Imaging Sciences
Volume11
Issue number3
DOIs
Publication statusPublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Society for Industrial and Applied Mathematics.

Keywords

  • Block matching
  • Compressed sensing
  • Denoising
  • Image reconstruction
  • Magnetic resonance
  • Message passing

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