Calibration-Free B0 Correction of EPI Data Using Structured Low Rank Matrix Recovery

Arvind Balachandrasekaran; Merry Mani; Mathews Jacob

doi:10.1109/TMI.2018.2876423

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Calibration-Free B0 Correction of EPI Data Using Structured Low Rank Matrix Recovery

Journal article

Open access

Peer reviewed

Calibration-Free B0 Correction of EPI Data Using Structured Low Rank Matrix Recovery

Arvind Balachandrasekaran, Merry Mani and Mathews Jacob

IEEE transactions on medical imaging, Vol.38(4), pp.979-990

04/2019

DOI: 10.1109/TMI.2018.2876423

PMCID: PMC7840148

PMID: 30334785

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https://arxiv.org/pdf/1804.07436View

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Abstract

We introduce a structured low rank algorithm for the calibration-free compensation of field inhomogeneity artifacts in echo planar imaging (EPI) MRI data. We acquire the data using two EPI readouts that differ in echo-time. Using time segmentation, we reformulate the field inhomogeneity compensation problem as the recovery of an image time series from highly undersampled Fourier measurements. The temporal profile at each pixel is modeled as a single exponential, which is exploited to fill in the missing entries. We show that the exponential behavior at each pixel, along with the spatial smoothness of the exponential parameters, can be exploited to derive a 3-D annihilation relation in the Fourier domain. This relation translates to a low rank property on a structured multi-fold Toeplitz matrix, whose entries correspond to the measured k-space samples. We introduce a fast two-step algorithm for the completion of the Toeplitz matrix from the available samples. In the first step, we estimate the null space vectors of the Toeplitz matrix using only its fully sampled rows. The null space is then used to estimate the signal subspace, which facilitates the efficient recovery of the time series of images. We finally demonstrate the proposed approach on spherical MR phantom data and human data and show that the artifacts are significantly reduced.

Image segmentation

Transmission line matrix methods

Magnetic resonance imaging

matrix completion

regularized recovery

EPI artifacts

annihilation filter

Nonhomogeneous media

Distortion

structured low rank

Time measurement

Toeplitz matrix

Details

Title: Subtitle: Calibration-Free B0 Correction of EPI Data Using Structured Low Rank Matrix Recovery
Creators: Arvind Balachandrasekaran - Department of Electrical and Computer Engineering, The University of Iowa, Iowa, IA, USA
Merry Mani - Department of Radiology, The University of Iowa, Iowa, IA, USA
Mathews Jacob - Department of Electrical and Computer Engineering, The University of Iowa, Iowa, IA, USA
Resource Type: Journal article
Publication Details: IEEE transactions on medical imaging, Vol.38(4), pp.979-990
DOI: 10.1109/TMI.2018.2876423
PMID: 30334785
PMCID: PMC7840148
NLM abbreviation: IEEE Trans Med Imaging
ISSN: 0278-0062
eISSN: 1558-254X
Publisher: Institute of Electrical and Electronics Engineers
Grant note: 1R01EB019961-01A1; R01 EB019961-02S1 / National Institute of Biomedical Imaging and Bioengineering (10.13039/100000070)
Language: English
Date published: 04/2019
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
Record Identifier: 9984051788602771

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