Table 1 SNR of the decompressed images for the Chessboard test example at compression ratio \(\rho =4,9,16,25,36\) and for bi-linear, bi-cubic, bi-spline, Shepard (\(s=4,6\)), \(G_{M,N}^{\alpha ,4}\), \(G_{M,N}^{\alpha ,6}\) operators, \(\alpha =1.1,1.3,2,3,5,10\). The higher SNR, the more accurate the methodology
Method | ρ = 4 | ρ = 9 | ρ = 16 | ρ = 25 | ρ = 36 |
|---|---|---|---|---|---|
Original Shepard (s = 4) | 79.6 | 77.4 | 76.0 | 75.0 | 74.0 |
\(G_{M,N}^{1.1,4}\) | 80.3 | 78.1 | 76.7 | 75.6 | 74.6 |
\(G_{M,N}^{1.3,4}\) | 81.6 | 79.2 | 77.8 | 76.7 | 75.7 |
\(G_{M,N}^{2,4}\) | 85.3 | 82.4 | 80.7 | 79.5 | 78.3 |
\(G_{M,N}^{3,4}\) | 89.8 | 85.8 | 83.7 | 82.3 | 81.0 |
\(G_{M,N}^{5,4}\) | 98.5 | 91.7 | 88.5 | 86.5 | 84.7 |
\(G_{M,N}^{10,4}\) | 120.4 | 106.4 | 99.7 | 95.5 | 92.2 |
Original Shepard (s = 6) | 82.0 | 79.6 | 78.1 | 77.0 | 76.0 |
\(G_{M,N}^{1.1,6}\) | 82.9 | 80.3 | 78.8 | 77.7 | 76.6 |
\(G_{M,N}^{1.3,6}\) | 84.4 | 81.6 | 80.0 | 78.8 | 77.7 |
\(G_{M,N}^{2,6}\) | 89.1 | 85.3 | 83.3 | 82.0 | 80.6 |
\(G_{M,N}^{3,6}\) | 95.6 | 89.8 | 87.0 | 85.2 | 83.6 |
\(G_{M,N}^{5,6}\) | 108.8 | 98.5 | 93.7 | 90.7 | 88.3 |
Bi-linear | 73.3 | 72.0 | 70.3 | 69.4 | 68.5 |
Bi-cubic | 73.8 | 72.0 | 70.8 | 69.9 | 69.0 |
Bi-spline | 73.2 | 71.4 | 70.2 | 69.3 | 68.4 |