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Abstract #1407

Continuous domain compressed sensing (CD-CS): application to accelerated dynamic MRI

Arvind Balachandrasekaran1, Greg Ongie2, and Mathews Jacob1

1Electrical and Computer Engineering, University of Iowa, Iowa City, IA, United States, 2EECS, University of Michigan, MI, United States

We introduce a novel continuous domain compressed sensing (CD-CS) framework for the recovery of MRI data. We formulate the recovery of the high-resolution continuous domain Fourier coefficients of the image from few of its samples as a structured low-rank matrix completion problem. We also introduce novel algorithms to solve this matrix completion problem in run-times that are comparable with discrete CS formulations. The application of this algorithm to (2D+time) dynamic MRI problems is observed to yield significantly improved reconstructions compared to state of the art CS methods.

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