# A Robust and Secure Watermarking Approach Based on Hermite Transform and SVD-DCT
## 5 Experiments and Results
### Comparison with other Methods
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Window Size**} & \multicolumn{3}{c}{**Proposal**} & \multicolumn{3}{c}{**[PERSON] et al. [29]**} & \multicolumn{3}{c}{**[PERSON] et al. [1]**} \\ \cline{2-11}  & **BER** & **PSNR (dB)** & **SSIM** & **NCC** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** \\ \hline (\(2\times 2\)) & **0** & \(\gg\)**60** & **1** & **1** & - & 31.9187 & 0.9273 & 0.9945 & - & - & - & 0.9380 \\ \hline (\(3\times 3\)) & **0** & \(\gg\)**60** & **1** & **1** & - & 27.3228 & 0.8053 & 0.9838 & - & - & - & 0.9370 \\ \hline (\(4\times 4\)) & **0** & \(\gg\)**60** & **1** & **1** & - & - & - & - & - & - & - & - & 0.9370 \\ \hline (\(5\times 5\)) & **0** & \(\gg\)**60** & **1** & **1** & - & 22.4322 & 0.5474 & 0.9509 & - & - & - & - & - \\ \hline (\(7\times 7\)) & **0** & \(\gg\)**60** & **1** & **1** & - & 19.8526 & 0.3580 & 0.9141 & - & - & - & - \\ \hline (\(10\times 10\)) & **0** & \(\gg\)**60** & **1** & **1** & - & 17.6294 & 0.1777 & 0.8641 & - & - & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Comparison between different types of watermarking systems [1; 29] with our algorithm, after applying the Gaussian filter using the _Lena_ image. The best result for each parameter is indicated by the values highlighted in bold in each column. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**Proposal**} & \multicolumn{4}{c}{**[PERSON] et al. [13]**} & \multicolumn{4}{c}{**[PERSON] et al. [17]**} & \multicolumn{4}{c}{**[PERSON] et al. [17]**} & \multicolumn{4}{c}{**[PERSON] et al. [34]**} \\ \cline{2-13}
**Quality Factor** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** & **BER** & **PSNR (dB)** & **SSIM** & **NCC** \\ \hline
100 & 0 & \(\gg\)**0** & **1** & **1** & - & - & - & - & - & 0.9893 & 0.9990 & - & - & - & - & - & - & - \\ \hline
80 & 0 & \(\gg\)**0** & **1** & **1** & - & - & - & - & - & 0.9893 & 0.9990 & - & - & - & - & - & - & - \\ \hline
70 & 0 & \(\gg\)**0** & **1** & **1** & - & 38.8876 & 0.9919 & 0.9986 & - & - & - & 0.0205 & - & - & 0.9859 & - & - & - & - \\ \hline
60 & 0 & \(\gg\)**0** & **1** & **1** & - & - & - & - & - & - & 0.80701 & 0.9988 & - & - & - & - & - & - & 0.9411 & 0.8396 \\ \hline
50 & 0 & \(\gg\)**0** & **1** & **1** & - & 38.0334 & 0.9905 & 0.9984 & - & - & - & - & 0.0791 & - & 0.9449 & - & - & - & - \\ \hline
30 & 0 & \(\gg\)**0** & **1** & **1** & - & 36.9610 & 0.9881 & 0.9981 & - & - & 0.9862 & 0.9987 & 0.1562 & - & - & 0.8867 & - & - & 0.8054 & 0.6651 \\ \hline
10 & 0 & \(\gg\)**0** & **1** & **1** & - & 35.8237 & 0.9842 & 0.9997 & - & - & 0.9794 & 0.9969 & 0.2266 & - & - & 0.8382 & - & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Comparison between different types of watermarking systems [13; 17; 29; 34] with our algorithm, after applying the scale attack using the _Lena_ image. The best result for each parameter is indicated by the values highlighted in bold in each column.