Table 2.
CS reconstruction algorithm based on sparsifying transforms.
| S/N | Reference | Method | Average MAE | |||||
|---|---|---|---|---|---|---|---|---|
| 1 | [39] | Model basis (i) Wavelet atom (ii) D cosine T (iii) DFT reconstruction (iv) L1 minimization (v) BSB |
L1-FT | 1.8994e − 04 | ||||
| L1-DCT | 1.3124e − 04 | |||||||
| L1-WA | 1.2161e − 04 | |||||||
| BSBL-FT | 1.3693e − 04 | |||||||
| BSBL-DCT | 9.5381e − 05 | |||||||
| BSBL-WA | 1.6805e − 04 | |||||||
|
| ||||||||
| 2 | [37] | Model basis (i) Directional wave atoms (ii) Daubechies wavelets (iii) Fourier transform |
L1-wavelet | 1.5163e − 03 | ||||
| L1-DCT | 8.3572e − 04 | |||||||
| L1-W atom | 5.5428e − 04 | |||||||
|
| ||||||||
| 3 | [38] | Model basis (i) DWT (ii) DCT Reconstruction Convex optimization L1 minimization |
MSE | |||||
| CS-flow 1 | 2.34 | |||||||
| CS-flow 2 | 2.95 | |||||||
| CS-flow 3 | 4.34 | |||||||
|
| ||||||||
| 4 | [40] | Model basis (i) curvelets (ii) Wavelet (iii) Cosine (iv) Fourier |
Method | PSNR | SSIM | |||
| Cyst phantom image | ||||||||
| Frequency domain | 25.758 | 0.726 | ||||||
| Time domain | 22.857 | 0.701 | ||||||
| Liver image | ||||||||
| Frequency domain | 32 | 0.783 | ||||||
| Time domain | 20.2 | 0.741 | ||||||
|
| ||||||||
| 5 | [32] | (i) Approximate messaging passing model basis (ii) DCT (iii) Wavelet (iv) Spatial domain ST and ABE as denoiser |
Time ST | 9.09 | 0.14 | |||
| Time ABE | 8.57 | 0.09 | ||||||
| Wavelet ST | 12.46 | 0.28 | ||||||
| Wavelet ABE | 12.38 | 0.25 | ||||||
| DCT ST | 18.56 | 0.54 | ||||||
| DCT ABE | 23.95 | 0.80 | ||||||