A general algorithm for compensation of trajectory errors: Application to radial imaging

Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine
Merry ManiMathews Jacob

Abstract

To reconstruct artifact-free images from measured k-space data, when the actual k-space trajectory deviates from the nominal trajectory due to gradient imperfections. Trajectory errors arising from eddy currents and gradient delays introduce phase inconsistencies in several fast scanning MR pulse sequences, resulting in image artifacts. The proposed algorithm provides a novel framework to compensate for this phase distortion. The algorithm relies on the construction of a multi-block Hankel matrix, where each block is constructed from k-space segments with the same phase distortion. In the presence of spatially smooth phase distortions between the segments, the complete block-Hankel matrix is known to be highly low-rank. Since each k-space segment is only acquiring part of the k-space data, the reconstruction of the phase compensated image from their partially parallel measurements is posed as a structured low-rank matrix optimization problem, assuming the coil sensitivities to be known. The proposed formulation is tested on radial acquisitions in several settings including partial Fourier and golden-angle acquisitions. The experiments demonstrate the ability of the algorithm to successfully remove the artifacts arising from the...Continue Reading

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Citations

Dec 4, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Merry ManiMathews Jacob
May 14, 2020·NMR in Biomedicine·Wolfgang BognerAnke Henning
Aug 14, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Merry ManiVincent Magnotta
Nov 30, 2018·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Sebastian RosenzweigMartin Uecker

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