Table 1.
Optimal 3D Bilateral Filters
| Type | Domain | Range | PSNR | Time (sec) | σ d | σr (HU) | Kernel Size |
|---|---|---|---|---|---|---|---|
| Noiseless Recon | - | - | 30.74 | - | - | - | - |
| Noisy Recon | - | - | 25.74 | - | - | - | - |
| Classic | Tukey | Flat | 31.68 | 14.26 | 8.44 | 228.42 | 17 |
| Cos | Flat | 31.68 | 11.32 | 7.05 | 236.26 | 15 | |
| AW | Flat | 31.67 | 14.30 | 8.09 | 228.42 | 17 | |
| Gauss | Flat | 31.67 | 23.81 | 3.30 | 228.42 | 21 | |
| Flat | Flat | 31.67 | 8.92 | 6.00 | 228.42 | 13 | |
| Lor | Flat | 31.60 | 23.90 | 0.72 | 228.42 | 21 | |
| EFF | Flat | 31.52 | 14.26 | 0.09 | 228.42 | 17 | |
| HMM | Flat | 31.52 | 18.05 | 0.09 | 228.42 | 19 | |
| Flat | Gauss | 31.45 | 8.45 | 6.00 | 150.00 | 13 | |
| Cos | Gauss | 31.43 | 11.08 | 7.05 | 150.00 | 15 | |
| Gauss | Gauss | 31.42 | 29.44 | 3.30 | 150.00 | 21 | |
| Median-Centric | Flat | Flat | 30.65 | 6.29 | 3.00 | 228.42 | 7 |
| Flat | Cos | 30.63 | 6.47 | 3.00 | 322.53 | 7 | |
| Flat | AW | 30.62 | 7.12 | 3.00 | 338.21 | 7 | |
| Flat | Tukey | 30.61 | 6.21 | 3.00 | 369.58 | 7 | |
| Flat | Gauss | 30.54 | 5.53 | 3.00 | 142.16 | 7 | |
| Cos | Flat | 30.48 | 6.31 | 3.02 | 228.42 | 7 | |
| AW | Flat | 30.45 | 6.32 | 3.04 | 244.11 | 7 | |
| Cos | Cos | 30.44 | 6.53 | 3.02 | 322.53 | 7 | |
| Cos | AW | 30.43 | 7.19 | 3.02 | 338.21 | 7 | |
| Cos | Tukey | 30.42 | 6.20 | 3.02 | 369.58 | 7 | |
| Hybrid | Flat | Flat | 32.05 | 12.83 | 7.00 | 212.74 | 15 |
| Flat | Gauss | 31.92 | 12.45 | 7.00 | 134.32 | 15 | |
| Reference: Mean | Flat | Average | 28.02 | 3.51 | 1.00 | - | 3 |
| Flat | Average | 27.55 | 3.69 | 2.00 | - | 5 | |
| Flat | Average | 25.74 | 3.88 | 3.00 | - | 7 | |
| Flat | Average | 24.58 | 4.32 | 4.00 | - | 9 | |
| Reference: Median | Flat | Average | 28.17 | 1.90 | 1.00 | - | 3 |
| Flat | Average | 29.53 | 2.17 | 2.00 | - | 5 | |
| Flat | Average | 29.33 | 2.67 | 3.00 | - | 7 | |
| Flat | Average | 28.63 | 3.58 | 4.00 | - | 9 |