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Accelerated dynamic MRI using structured low rank matrix completion
Conference proceeding

Accelerated dynamic MRI using structured low rank matrix completion

Arvind Balachandrasekaran, Greg Ongie and Mathews Jacob
2016 IEEE International Conference on Image Processing (ICIP), Vol.2016-, pp.1858-1862
09/2016
DOI: 10.1109/ICIP.2016.7532680
PMID: 33597830
url
https://www.ncbi.nlm.nih.gov/pmc/articles/7885618View
Open Access

Abstract

We introduce a fast structured low-rank matrix completion algorithm with low memory & computational demand to recover the dynamic MRI data from undersampled measurements. The 3-D dataset is modeled as a piecewise smooth signal, whose discontinuities are localized to the zero sets of a bandlimited function. We show that a structured matrix corresponding to convolution with the Fourier coefficients of the signal derivatives is highly low-rank. This property enables us to recover the signal from undersampled measurements. The application of this scheme in dynamic MRI shows significant improvement over state of the art methods.
Jacobian matrices Convolution Magnetic resonance imaging Discrete Fourier transforms structured low rank Acceleration Computational complexity smoothness regularization dynamic MRI

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