Review Article
Application of Compressive Sensing to Ultrasound Images: A Review
Table 4
CS reconstruction of 3D ultrasound.
| | S/N | Reference | Method | NRMSE |
| | 1 | [48] | K-SVD overcomplete dictionaries
R1 and R2 sampling patterns
DCT basis
Fourier basis | Sampling masks R1 and R2 | 20% sampled | 50% Sampled | 80% sampled | | DCT and R1 | 0.59 × 10−2 | | 1.31 × 10−2 | | DCT and R2 | 0.54 × 10−2 | | 1.35 × 10−2 | | Fourier and R1 | 0.48 × 10−2 | | 1.45 × 10−2 | | Fourier and R2 | 0.54 × 10−2 | | 1.28 × 10−2 | | K−SVD and R1 | 0.31 × 10−2 | | 1.06 × 10−2 | | K−SVD and R2 | 0.32 × 10−2 | | 0.97 × 10−2 |
| | 2 | [47] | K-space signal reconstruction
L1 minimization routine | Sampling patterns | NRMSE results of 50% sampled data | | Φ1 | 0.090 ± 4.4 × 10−4 | | Φ2 | 0.097 ± 4.4 × 10−4 | | Φ3 | 0.094 ± 20 × 10−4 |
| | 3 | [49] | K-SVD line-wise and point-wise sampling patterns OMP for minimization | NRMSE | | | | Technique | 20% | 50% | 80% | | In vivo | Kidney | K-SVD | 2.59 × 10−4 | 4.25 × 10−4 | 5.91 × 10−4 | | Fourier | 2.99 × 10−4 | 5.10 × 10−4 | 7.28 × 10−4 | | Liver | K-SVD | 2.64 × 10−4 | 4.23 × 10−4 | 5.92 × 10−4 | | Fourier | 2.98 × 10−4 | 5.07 × 10−4 | 7.24 × 10−4 | | Ex vivo | Brain | K-SVD | 2.10 × 10−4 | 3.78 × 10−4 | 5.73 × 10−4 | | Fourier | 2.51 × 10−4 | 4.67 × 10−4 | 7.85 × 10−4 | | DCT | 2.86 × 10−4 | 4.98 × 10−4 | 7.12 × 10−4 | | Kidney | K-SVD | 2.13 × 10−4 | 3.52 × 10−4 | 5.23 × 10−4 | | Fourier | 2.53 × 10−4 | 4.56 × 10−4 | 7.21 × 10−4 | | DCT | 2.75 × 10−4 | 4.83 × 10−4 | 7.29 × 10−4 | | Heart | K-SVD | 2.51 × 10−4 | 4.12 × 10−4 | 6.19 × 10−4 | | Fourier | 3.01 × 10−4 | 5.15 × 10−4 | 8.38 × 10−4 | | DCT | 3.11 × 10−4 | 5.50 × 10−4 | 8.67 × 10−4 |
| | 4 | [50] | Plastic coded mask | | Results not in numerical form |
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