A Fast Method for Designing Time-Optimal Gradient Waveforms for Arbitrary [Formula Omitted]-Space Trajectories

A fast and simple algorithm for designing time-optimal waveforms is presented. The algorithm accepts a given arbitrary multidimensional k-space trajectory as the input and outputs the time-optimal gradient waveform that traverses k-space along that path in minimum time. The algorithm is noniterative...

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Bibliographic Details
Published in:IEEE transactions on medical imaging 2008-06, Vol.27 (6), p.866
Main Authors: Lustig, M, Seung-Jean Kim, Seung-Jean Kim, Pauly, J.M
Format: Article
Language:English
Online Access:Get full text
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Summary:A fast and simple algorithm for designing time-optimal waveforms is presented. The algorithm accepts a given arbitrary multidimensional k-space trajectory as the input and outputs the time-optimal gradient waveform that traverses k-space along that path in minimum time. The algorithm is noniterative, and its run time is independent of the complexity of the curve, i.e., the number of switches between slew-rate limited acceleration, slew-rate limited deceleration, and gradient amplitude limited regions. The key in the method is that the gradient amplitude is designed as a function of arc length along the k-space trajectory, rather than as a function of time. Several trajectory design examples are presented.
ISSN:0278-0062
1558-254X
DOI:10.1109/TMI.2008.922699