Iterative shrinkage algorithm for patch-smoothness regularized medical image recovery

Yasir Q Mohsin; Gregory Ongie; Mathews Jacob

doi:10.1109/TMI.2015.2398466

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Iterative shrinkage algorithm for patch-smoothness regularized medical image recovery

Journal article

Open access

Peer reviewed

Iterative shrinkage algorithm for patch-smoothness regularized medical image recovery

Yasir Q Mohsin, Gregory Ongie and Mathews Jacob

IEEE transactions on medical imaging, Vol.34(12), pp.2417-2428

12/2015

DOI: 10.1109/TMI.2015.2398466

PMCID: PMC5453732

PMID: 25647445

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http://doi.org/10.1109/TMI.2015.2398466View

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Abstract

We introduce a fast iterative shrinkage algorithm for patch-smoothness regularization of inverse problems in medical imaging. This approach is enabled by the reformulation of current non-local regularization schemes as an alternating algorithm to minimize a global criterion. The proposed algorithm alternates between evaluating the denoised inter-patch differences by shrinkage and computing an image that is consistent with the denoised inter-patch differences and measured data. We derive analytical shrinkage rules for several penalties that are relevant in non-local regularization. The redundancy in patch comparisons used to evaluate the shrinkage steps are exploited using convolution operations. The resulting algorithm is observed to be considerably faster than current alternating non-local algorithms. The proposed scheme is applicable to a large class of inverse problems including deblurring, denoising, and Fourier inversion. The comparisons of the proposed scheme with state-of-the-art regularization schemes in the context of recovering images from undersampled Fourier measurements demonstrate a considerable reduction in alias artifacts and preservation of edges.

Measurement

Convolution

compressed sensing

denoising. non-Cartesian

Noise reduction

MRI

Minimization

non-local means

Iterative algorithms

shrinkage

Optimization

Biomedical imaging

Details

Title: Subtitle: Iterative shrinkage algorithm for patch-smoothness regularized medical image recovery
Creators: Yasir Q Mohsin - Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
Gregory Ongie - Dept. of Math., Univ. of Iowa, Iowa City, IA, USA
Mathews Jacob - Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
Resource Type: Journal article
Publication Details: IEEE transactions on medical imaging, Vol.34(12), pp.2417-2428
DOI: 10.1109/TMI.2015.2398466
PMID: 25647445
PMCID: PMC5453732
NLM abbreviation: IEEE Trans Med Imaging
ISSN: 0278-0062
eISSN: 1558-254X
Publisher: Institute of Electrical and Electronics Engineers
Grant note: N00014-13-1-0202 / ONR
Language: English
Date published: 12/2015
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
Record Identifier: 9984070273502771

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