# RST Resilient Watermarking Scheme Based on DWT-SVD and Scale-Invariant Feature Transform
## 5 Conclusions  
In this paper, an RST resilient watermark scheme is proposed to obtain better imperceptibility and robustness against RST attacks on the basis of DWT and SVD. In the proposed scheme, the binary  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Different Attacks** & **[PERSON] et al.’s Scheme [6]** & **[PERSON] et al.’s Scheme [24]** & **Proposed Scheme** \\ \hline Median filter (3 \(\times\) 3) & 0.5170 & 0.6450 & 0.9913 \\ Center cropping (25\%) & 0.9822 & 0.9800 & 0.9179 \\ JPEG (100) & 0.9941 & 0.9820 & 0.9966 \\ Rotation (2\({}^{\circ}\)) & 0.9687 & 0.9400 & 0.9741 \\ Rotation (5\({}^{\circ}\)) & 0.9197 & 0.9310 & 0.9813 \\ Rotation (10\({}^{\circ}\)) & 0.7825 & 0.8860 & 0.9861 \\ Scaling (0.9) & 0.9710 & 0.9560 & 0.9931 \\ Scaling (1.2) & 0.8709 & 0.9820 & 0.9906 \\ \hline \hline \end{tabular}
\end{table}
Table 4: Comparisons in watermark robustness against different attacks among [PERSON] et al.’s scheme [6], [PERSON] et al.’s scheme [24], and the proposed scheme.  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Different Combination of Attacks** & **[PERSON] and \(w_{1}\)** & **[PERSON] and \(w_{2}\)** \\ \hline Rotation (10\({}^{\circ}\)) and JPEG (100) & 0.9964 & 0.9738 \\ Rotation (10\({}^{\circ}\)) and Gaussian noise (0, 0.05) & 0.9644 & 0.9437 \\ Rotation (10\({}^{\circ}\)) and Salt and pepper noise (0.05) & 0.9779 & 0.9592 \\ Rotation (10\({}^{\circ}\)) and Center cropping (25\%) & 0.9098 & 0.9165 \\ Rotation (10\({}^{\circ}\)) and Median filter (3 \(\times\) 3) & 0.9862 & 0.9729 \\ \hline Scaling (0.5) and JPEG (100) & 0.9920 & 0.9616 \\ Scaling (0.5) and Gaussian noise (0, 0.05) & 0.9239 & 0.9165 \\ Scaling (0.5) and Salt and pepper noise (0.05) & 0.9331 & 0.9348 \\ Scaling (0.5) and Center cropping (25\%) & 0.8170 & 0.8807 \\ Scaling (0.5) and Median filter (3 \(\times\) 3) & 0.9861 & 0.9578 \\ \hline Horizontal translation and JPEG (100) & 0.9966 & 0.9964 \\ Horizontal translation and Gaussian noise (0, 0.05) & 0.9068 & 0.9190 \\ Horizontal translation and Salt and pepper noise (0.05) & 0.9400 & 0.9455 \\ Horizontal translation and Center cropping (25\%) & 0.8981 & 0.8724 \\ Horizontal translation and Median filter (3 \(\times\) 3) & 0.9917 & 0.9846 \\ \hline Rotation (10\({}^{\circ}\)) and Scaling (0.5) & 0.9857 & 0.9669 \\ Scaling (0.5) and Horizontal translation & 0.9912 & 0.9646 \\ Horizontal translation and Rotation (10\({}^{\circ}\)) & 0.9851 & 0.9677 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Robustness performance on different combination of attacks.  
watermark image is embedded into the singular values in the three-level DWT domain. With the help of the SIFT, RST attacks on the host image can be corrected to promote the robustness. Experimental results show that the proposed scheme is able to resist different attacks, including common image processing and malicious attacks. Notably, compared with the previous scheme, the proposed scheme achieves better imperceptibility and robustness against RST attacks. For future work, the novel watermarking scheme applied to color images should be researched.  
This work was supported by the National Natural Science Foundation of China (No. 61201371), the Research Award Fund for Outstanding Young and Middle-Aged Scientists of Shandong Province, China (No. BS2013 DX022), and the Natural Science Foundation of Shandong Province, China (No. ZR2015 PF004).  
[PERSON] and [PERSON] conceived the algorithm and designed the experiments; [PERSON] performed the experiments; [PERSON] and [PERSON] analyzed the results; [PERSON] drafted the manuscript; and [PERSON] revised the manuscript. All authors have read and approved the final manuscript.  
The authors declare no conflict of interest.