Noise-free reconstructed Shepp–Logan phantoms under four levels of undersampling: 20, 12, 6, and 4 (columns 1, 2, 3, and 4, respectively); and four compressed sensing based methods: CS, NCCS, PICCS, and NCPICCS (rows 1, 2, 3, and 4, respectively). Reconstructed image at time point t=2.5 s is shown.