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. Author manuscript; available in PMC: 2022 Jun 21.
Published in final edited form as: Magn Reson Med. 2021 Jul 5;86(5):2733–2750. doi: 10.1002/mrm.28830

Figure 6.

Figure 6.

Numerical simulations of Gibbs-ringing removal in 2D magnitude images of the Shepp-Logan phantom with the additional phase in Equation 15. The first row shows images of the signal magnitude before ringing removal, and the second, third and forth rows show images after ringing removal by using magnitude-input CNN (MCNN), local subvoxel-shifts (SuShi) and RPG. For PF acquired data, SuShi can only correct the ordinary ringings of interval xr in Equation 3, but not PF-induced ringings of interval xν in Equation 6. In contrast, for pf = 7/8 and 6/8, both MCNN and RPG pipelines robustly remove PF-induced ringings, whereas for pf = 5/8 the corrected image still has non-trivial amount of ringings, potentially caused by the interaction of the image phase in high resolution ground truth and the convolution kernel in Equation 1. SI is the sharpness index(Vu et al., 2011).