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. Author manuscript; available in PMC: 2021 Apr 1.
Published in final edited form as: Magn Reson Med. 2019 Oct 18;83(4):1291–1309. doi: 10.1002/mrm.28019

Table 2:

Different compressed sensing methods, their corresponding equations, and minimization algorithm, a brief description, median computational time to converge (Intel Skylake 6148 core@2.4GHz, 32GB DDR4–2666DIMM) adjusted per slice.

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