Table 2:
CS Method | Equation | Minimization algorithm | Transform/Dictionary | median comp. time Cartesian | median comp. time Radial |
---|---|---|---|---|---|
STFD | [4] | MFISTA-VA-FGP | Spatial and temporal finite difference, spatial order 1 and temporal order 2 | 134 sec | 1319 sec |
WAV | [5] | MFISTA-VA | 3D Wavelet transform (2D+time) Daubechies 4, with 4 levels of decomposition. | 152 sec | 445 sec |
PCA | [5] | MFISTA-VA | Unitary transform from temporal PCA of fully-sampled data | 44 sec | 264 sec |
EXP | [5] | MFISTA-VA | Overcomplete temporal dictionary of exponentials with 50 relaxation times between 0.75 and 300 ms | 201 sec | 776 sec |
LR | [6] | MFISTA-VA | Applied to a NyNz × Nt matrix formed with the reshaped NyNzNt × 1 vector. | 57 sec | 244 sec |
L+S | [7] | MFISTA-VA | Same as LR, plus identity for l1-norm | 50 sec | 408 sec |
L+S SFD | [7] | MFISTA-VA-FGP | Same as LR, plus spatial finite difference for l1-norm | 87 sec | 1091 sec |
L+S WAV | [7] | MFISTA-VA | Same as LR, plus 2D spatial wavelet for l1-norm, also Daubechies 4, with 4 levels. | 152 sec | 597 sec |