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On the possibility of reconstructing arbitrary FOVs using gradient waveforms with low-coherent aliasing properties

Tobias Speidel¹, Patrick Metze¹, Kilian Stumpf¹, Thomas Hüfken¹, and Volker Rasche¹
¹Internal Medicine II, Ulm University Hospital, Ulm, Germany

The calculation of k-space trajectories in MRI usually involves prior knowledge of the FOV due to a minimum k-space sampling density. Based on a generalised form of the "Seiffert Spirals", this abstract describes an imaging modality that does not require prior commitment to an imaging FOV.

Figure 1: 15 interleaves of the generated trajectory within normalised k-space.

Figure 2: Simulated PSFs in the $$$xy$$$-plane with $$$z=0$$$ of the presented approach according to the undersampling factors $$$R_1$$$ in a), $$$R_2$$$ in b), $$$R_3$$$ in c) and $$$R_4$$$ in d).