# Security Protection of 3D Models of Oblique Photography by Digital Watermarking and Data Encryption
## 5 Experimental Results and Analysis
### Analysis of Imperceptibility
#### 5.2.5 Comparison of Similar Algorithms
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Model**} & \multicolumn{5}{c}{**Random Addition of Points**} & \multicolumn{5}{c}{**Random Deletion of Points**} \\ \cline{2-9}  & & **10\%** & **20\%** & **30\%** & **1\%** & **5\%** & **10\%** \\ \hline \multirow{4}{*}{M-1} & Vertex & \multirow{2}{*}{0.984140} & \multirow{2}{*}{0.956747} & \multirow{2}{*}{0.869417} & \multirow{2}{*}{0.973275} & \multirow{2}{*}{0.809885} & \multirow{2}{*}{0.687757} \\  & coordinates & & & & & \\ \cline{2-9}  & Texture & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} & \multirow{2}{*}{1.0} \\  & coordinates & & & & & \\ \cline{2-9}  & Extraction & \multirow{2}{*}{\(\surd\)} & \multirow{2}{*}{\(\surd\)} & \multirow{2}{*}{\(\surd\)} & \multirow{2}{*}{\(\surd\)} & \multirow{2}{*}{\(\surd\)} & \multirow{2}{*}{\(\surd\)} \\  & successful & & & & & \\ \hline \multirow{4}{*}{M-2} & - & 1.0 & 1.0 & 0.989528 & 0.994778 & 0.994778 & 0.859990 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-3} & - & 1.0 & 0.994778 & 0.989528 & 0.994778 & 0.74579 & 0.298984 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-4} & - & 0.962851 & 0.957427 & 0.940965 & 0.929829 & 0.797130 & 0.381881 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-5} & - & 0.994428 & 0.960324 & 0.912949 & 0.918936 & 0.849836 & 0.781735 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-6} & - & 1 & 0.994778 & 0.994832 & 1 & 0.993832 & 0.989743 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1 & 0.994778 & 0.994832 & 1 & 0.993832 & 0.989743 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-7} & - & 0.978720 & 0.911909 & 0.888523 & 0.978720 & 0.870571 & 0.361986 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-8} & - & 0.978778 & 0.989473 & 0.984140 & 0.989473 & 0.811472 & 0.65748 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-9} & - & 0.994778 & 0.984469 & 0.946484 & 1 & 0.823823 & 0.628899 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-9} & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-10} & - & 0.992192 & 0.912870 & 0.872018 & 0.677003 & 0.456435 & 0.204124 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{Average} & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 0.988588 & 0.966277 & 0.938838 & 0.945679 & 0.815355 & 0.585258 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-15} & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \cline{2-9}  & - & 0.994478 & 0.960324 & 0.912949 & 0.918936 & 0.849836 & 0.781735 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ \hline \multirow{4}{*}{M-15} & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 \\ \cline{2-9}  & - & 1.0 & 1.0 & 1.0 & 1.0 & 1.0 Figure 9 shows the correlation coefficients of different algorithms after the cropping attack.