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  • Title: A fast method for designing time-optimal gradient waveforms for arbitrary k-space trajectories.
    Author: Lustig M, Kim SJ, Pauly JM.
    Journal: IEEE Trans Med Imaging; 2008 Jun; 27(6):866-73. PubMed ID: 18541493.
    Abstract:
    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.
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