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. Author manuscript; available in PMC: 2015 Jul 1.
Published in final edited form as: Magn Reson Med. 2013 Sep 12;72(1):124–136. doi: 10.1002/mrm.24913

Figure 3.

Figure 3

Numerical phantom results: (a1) Cartesian reconstruction of analytical disk phantom with same acquisition scheme as in Fig. 2 (3-times lower resolution along y); (b1) Non-apodized radial reconstruction (same number of readouts and readout resolution); (c1) Apodized radial reconstruction with the same k-space data as in (b1) (same apodizer as Fig. 2(d)). All images use zero-filled interpolation to 512x512 image matrix. Panels (a2), (b2), and (c2) are 1D cuts of the images in the top panel along the center of the image parallel to the y axis that are overlaid on the ground truth (dotted line). The Cartesian image in (a1) exhibits significant ringing artifacts (Gibbs) along y (PE) whereas apodized radial reconstruction in (c1) eliminates all ringing-induces artifacts and has reduced streaking compared to (b1). Specifically, the energy (2-norm) of the streak region outside of the disks as a percentage of the energy of the disk phantom is 40% lower in (c1) compared to (b1) (11.5% vs. 19%). Overall, the results verify the PSF effects described in Figs. 1-2, and demonstrate that radial sampling with wide k-space coverage and apodized reconstruction can effectively eliminate the DRAs caused by Gibbs-like ringing effects.