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Distributed spirals: A new class of three‐dimensional k ‐space trajectories
Author(s) -
Turley Dallas C.,
Pipe James G.
Publication year - 2013
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.24475
Subject(s) - trajectory , spiral (railway) , aliasing , sampling (signal processing) , ringing , waveform , computer science , space (punctuation) , algorithm , physics , mathematical analysis , mathematics , computer vision , filter (signal processing) , telecommunications , radar , astronomy , operating system
This work presents a new class of three‐dimensional spiral based‐trajectories for sampling magnetic resonance data. The distributed spirals trajectory efficiently traverses a cylinder or sphere or intermediate shape in k ‐space. The trajectory is shown to be nearly as efficient as a conventional stack of spirals trajectory in terms of scan time and signal‐to‐noise ratio, while reducing coherent aliasing in all three spatial directions and reducing Gibbs ringing due to the nature of collecting data from a sphere in k ‐space. The trajectory uses a single two‐dimensional spiral waveform with the addition of a single orthogonal waveform which is scaled with each repetition, making it relatively easy to implement. Blurring from off‐resonance only occurs in two dimensions due to the temporal nature of the sampling. Magn Reson Med 70:413–419, 2013. © 2012 Wiley Periodicals, Inc.