Research Article
A Novel Directionlet-Based Image Denoising Method Using MMSE Estimator and Laplacian Mixture Distribution
Table 2
PSNR comparison (Gaussian noise) of the proposed method with other methods (in dB).
| | 5 | 10 | 20 | 30 | 50 | 75 | 100 |
| Boat | Noisy | 34.1172 | 28.1398 | 22.1890 | 18.7310 | 14.6045 | 11.7486 | 10.1119 | SureShrink | 32.8096 | 30.6670 | 27.8854 | 26.0042 | 23.1738 | 20.6964 | 19.3363 | BayesShrink | 35.7005 | 32.5481 | 29.1581 | 27.2197 | 24.9616 | 22.9441 | 21.4948 | BLS-GSM | 36.7329 | 33.4831 | 30.2994 | 28.4360 | 26.1782 | 24.5648 | 23.5208 | K-SVD | 37.2160 | 33.5918 | 30.3368 | 28.4117 | 25.8962 | 24.0504 | 22.7441 | Proposed | 37.6733 | 34.0517 | 30.7789 | 29.3584 | 26.6035 | 24.8389 | 23.6182 |
| Peppers | Noisy | 34.1349 | 28.1728 | 22.2225 | 18.7757 | 14.7374 | 11.8613 | 10.2132 | SureShrink | 33.4827 | 31.7831 | 29.1256 | 26.9193 | 24.2321 | 21.1825 | 19.6603 | BayesShrink | 36.1450 | 33.3432 | 30.1000 | 28.1650 | 25.9694 | 23.2449 | 21.7568 | BLS-GSM | 37.1139 | 33.9436 | 30.7529 | 28.6675 | 26.0842 | 24.2591 | 22.5839 | K-SVD | 37.7215 | 34.2628 | 30.8189 | 29.0493 | 26.1453 | 23.6957 | 21.8496 | Proposed | 37.1641 | 34.2156 | 31.5728 | 29.8722 | 27.4658 | 25.5356 | 24.1813 |
| Couple | Noisy | 34.1468 | 28.1501 | 22.1580 | 18.7253 | 14.5570 | 11.7173 | 10.1078 | SureShrink | 32.5729 | 28.9800 | 26.6306 | 24.9866 | 22.3759 | 20.2493 | 19.3832 | BayesShrink | 36.2527 | 32.2714 | 28.6094 | 26.8294 | 24.6925 | 22.8233 | 21.5051 | BLS-GSM | 36.9564 | 32.4654 | 29.3840 | 27.2101 | 24.7357 | 23.0515 | 21.5715 | K-SVD | 37.2685 | 33.4258 | 29.6725 | 27.5475 | 25.1199 | 23.4921 | 22.4298 | Proposed | 37.0631 | 33.0186 | 29.9705 | 27.7835 | 25.5059 | 23.9003 | 22.8189 |
| Cameraman | Noisy | 31.4893 | 27.0812 | 21.9267 | 18.8280 | 14.9846 | 12.2984 | 10.6453 | SureShrink | 33.6523 | 31.0300 | 27.9941 | 25.8978 | 22.8099 | 19.8985 | 18.7697 | BayesShrink | 38.2318 | 34.1862 | 30.4611 | 28.1938 | 25.0584 | 22.5210 | 20.4949 | BLS-GSM | 40.3564 | 36.5456 | 32.9820 | 29.8171 | 27.6347 | 25.0651 | 22.7713 | K-SVD | 40.9217 | 37.1257 | 33.2066 | 30.9474 | 28.4564 | 25.9567 | 24.0799 | Proposed | 40.8315 | 37.2493 | 33.4672 | 31.2645 | 28.8026 | 26.7494 | 25.2453 |
| Lena | Noisy | 30.0189 | 26.2837 | 21.3969 | 18.3500 | 14.5940 | 11.9378 | 10.3692 | SureShrink | 31.6837 | 29.7113 | 27.5191 | 25.9838 | 23.6352 | 21.2366 | 20.1037 | BayesShrink | 36.8307 | 33.4175 | 30.2196 | 28.5905 | 26.2983 | 24.0695 | 22.3581 | BLS-GSM | 38.4729 | 35.6441 | 32.5985 | 29.7101 | 28.1149 | 26.5862 | 25.6407 | K-SVD | 38.5806 | 35.4874 | 32.3522 | 30.4133 | 27.7653 | 25.7731 | 24.4709 | Proposed | 38.7493 | 35.8493 | 33.1672 | 31.2645 | 28.2026 | 26.4494 | 25.0453 |
|
|