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Abstract #1416

Beyond Low-Rank and Sparsity: A Manifold driven Framework for Highly Accelerated Dynamic Magnetic Resonance Imaging

Ukash Nakarmi1, Konstantinos Slavakis1, Jingyuan Lyu1, Chaoyi Zhang1, and Leslie Ying1,2

1Electrical Engineering, University at Buffalo, State University of New York, Buffalo, NY, United States, 2Biomedical Engineering, University at Buffalo, State University of New York, Buffalo, NY, United States

The state-of-the-art methods in accelerating dynamic Magnetic Resonance (dMR) Imaging rely on sparse and/or low-rank priors. We propose a novel manifold driven framework that exploits the manifold smoothness priors to highly accelerate data acquisition in dMR. We postulate that images in dMR lie on or close to a smooth manifold and learn the manifold geometry from the navigator signals. Capitalizing on the learned manifold, we develop two regularization loss functions and subsequently build a framework to reconstruct dMR images from highly undersampled k-space data. The proposed method is shown to be superior than competitive methods in different data sets.

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