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. Author manuscript; available in PMC: 2009 Oct 19.
Published in final edited form as: IEEE Trans Med Imaging. 2009 May 12;28(10):1548–1559. doi: 10.1109/TMI.2009.2020064

Fig. 5.

Fig. 5

Simulated Mz patterns produced by π-pulses designed with the small-tip-angle (a,d), optimal control (b,e), and fast optimal control (c,f) methods, for an EP trajectory (a-c) with speedup factor = 3 (XFOV = 8 cm, pulse length 3.34 ms), and a spiral trajectory (d-f) with speedup factor = 4.8 (XFOV = 5 cm, pulse length 1.16 ms). The M z patterns excited by the optimal control methods are of higher quality than those excited by small-tip-designed pulses. The optimal control methods excite patterns of similar accuracy, though in the EP case pulses designed with the fast method excite a less uniform inversion region than the conventional method.