# An Adaptive and Secure Holographic Image Watermarking Scheme
## 5 Experiments and Results
### Test for the Effectiveness of Our Watermarking Scheme
#### 5.2.2 Robustness to Attacks
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & \multicolumn{6}{c}{**Eline**} & \multicolumn{6}{c}{**Goldhill**} \\ \cline{2-10}
**Attacks** & \begin{tabular}{c} **Our** \\ **Method** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [7]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [2]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [4]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **Method** \\ \end{tabular} & \begin{tabular}{c} **Our** \\ **in [7]** \\ \end{tabular} & \
\begin{tabular}{c} **Scheme** \\ **in [2]** \\ \end{tabular} &
\begin{tabular}{c} **Scheme** \\ **in [4]** \\ \end{tabular} \\ \hline Brighten & 0.006 & 0.401 & 0.074 & 0.1 & 0 & 0.407 & 0 & 0 \\ Darken & 0 & 0.415 & 0 & 0 & 0.103 & 0.456 & 0.083 & 0.097 \\ Rescaling & 0 & 0.295 & 0.372 & 0 & 0.001 & 0.4 & 0.327 & 0.001 \\ Rotation & 0.057 & 0.113 & 0.104 & 0.105 & 0.036 & 0.131 & 0.081 & 0.106 \\ Painting & 0 & 0.065 & 0.001 & 0 & 0 & 0.011 & 0 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: _Cont._  
Figure 5: The attacked watermarked images. **(a)** Gaussian low-pass filtering (PSNR = 32.54); **(b)** average filtering (PSNR = 32.42); **(c)** median filtering (PSNR = 34.9); **(d)** occlusion (PSNR = 15.06); **(e)** JPEG (PSNR = 35.95); **(f)** unsharp (PSNR = 27.74); **(g)** burring (PSNR = 34.03); **(h)** Gaussian noise (PSNR = 32.89); **(i)** salt & pepper noise (PSNR = 28.5); **(j)** brighten (PSNR = 14.15); **(k)** darken (PSNR = 14.52); **(l)** rescaling (PSNR = 34.67); **(m)** rotation (PSNR = 13.17); **(n)** painting (PSNR = 20.34). \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & \multicolumn{6}{c}{**[PERSON]**} & \multicolumn{6}{c}{**[PERSON]**} \\ \cline{2-10}
**Attacks** & \begin{tabular}{c} **Our** \\ **Method** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [7]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [2]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [4]** \\ \end{tabular} & \begin{tabular}{c} **Scheme** \\ **in [7]** \\ \end{tabular} & \
\begin{tabular}{c} **Our** \\ **in [2]** \\ \end{tabular} &
\begin{tabular}{c} **Scheme** \\ **in [4]** \\ \end{tabular} \\ \hline Gaussian low-pass filtering & 0 & 0.102 & 0.389 & 0.34 & 0.001 & 0.009 & 0.624 & 0.416 \\ Average filtering & 0 & 0.107 & 0.408 & 0.363 & 0.001 & 0.008 & 0.621 & 0.414 \\ Median filtering & 0.002 & 0.108 & 0.385 & 0.398 & 0.005 & 0.277 & 0.653 & 0.415 \\ Occlusion & 0.035 & 0.163 & 0.058 & 0.108 & 0.047 & 0.155 & 0.034 & 0.021 \\ JPEG & 0.129 & 0.008 & 0.371 & 0.213 & 0.113 & 0.056 & 0.115 & 0.342 \\ Unsharp & 0 & 0.009 & 0.301 & 0.001 & 0.001 & 0.004 & 0.079 & 0.001 \\ Blurring & 0 & 0.156 & 0.408 & 0.29 & 0.001 & 0.014 & 0.392 & 0.418 \\ Gaussian noise & 0.002 & 0.002 & 0.339 & 0.004 & 0.002 & 0.002 & 0.276 & 0.005 \\ Salt and pepper noise & 0.101 & 0.241 & 0.113 & 0.009 & 0.104 & 0.271 & 0.118 & 0.006 \\ Brighten & 0 & 0.42 & 0.002 & 0.001 & 0 & 0.423 & 0 & 0 \\ Darken & 0.003 & 0.421 & 0.003 & 0.003 & 0.002 & 0.417 & 0.001 & 0.001 \\ Rescaling & 0 & 0.32 & 0.377 & 0.001 & 0 & 0.323 & 0.363 & 0.001 \\ Rotation & 0.043 & 0.124 & 0.053 & 0.067 & 0.062 & 0.113 & 0.103 & 0.085 \\ Painting & 0 & 0.015 & 0.001 & 0.001 & 0 & 0.009 & 0.001 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The _BERs_ of the reconstructions of the mark CGHs which were extracted from the attacked watermarked Peppers and Crane comparing between our method and the schemes in [2,4,7].