Fig. 3.

Effectiveness of decomposition in CS reconstruction. (a) is a reference image for the numerical phantom data. Two sampling schemes, equidistant scheme (b) and random scheme (c), have the same sampling rate (0.31), same fully sampled central phase encoding lines, and the same total energy. All CS reconstructions here share the same regularization parameters. Using standard CS with scheme (b), images (e) and (d) were reconstructed with and without decomposition, respectively. By visual inspection, the proposed decomposition method (N_d = 6) can significantly reduce aliasing artifacts. Image (f) was reconstructed from random scheme (c) by standard CS, showing some aliasing artifacts.