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Dynamic MRI Using SmooThness Regularization on Manifolds (SToRM)
Journal article   Open access   Peer reviewed

Dynamic MRI Using SmooThness Regularization on Manifolds (SToRM)

Sunrita Poddar and Mathews Jacob
IEEE transactions on medical imaging, Vol.35(4), pp.1106-1115
04/2016
DOI: 10.1109/TMI.2015.2509245
PMCID: PMC5334465
PMID: 26685228
url
http://doi.org/10.1109/TMI.2015.2509245View
Open Access

Abstract

We introduce a novel algorithm to recover real time dynamic MR images from highly under-sampled k- t space measurements. The proposed scheme models the images in the dynamic dataset as points on a smooth, low dimensional manifold in high dimensional space. We propose to exploit the non-linear and non-local redundancies in the dataset by posing its recovery as a manifold smoothness regularized optimization problem. A navigator acquisition scheme is used to determine the structure of the manifold, or equivalently the associated graph Laplacian matrix. The estimated Laplacian matrix is used to recover the dataset from undersampled measurements. The utility of the proposed scheme is demonstrated by comparisons with state of the art methods in multi-slice real-time cardiac and speech imaging applications.
Manifolds manifold regularization Laplace equations Navigation Magnetic resonance imaging Heuristic algorithms free-breathing cardiac MRI Real-time systems Dynamic image reconstruction

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