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The fractional Fourier transform and quadratic field magnetic resonance imaging

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Fig. 1. Example of the trajectories described on the ρ – α space. (A) Shows a one dimensional constant gradient trajectory whereas (B) shows a one dimensional 2DFT trajectory.
Fig. 2. Comparison between the original function (dotted line), its standard Fourier transform reconstruction (solid gray line) and the fractional Fourier transform reconstruction (solid black line)
Fig. 3. Comparison between the original function (dotted line), its standard FrFT reconstruction (solid gray line) and the proposed approximation formula (solid black line)

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