# A Novel Monocular Vision Technique for the Detection of Electric Transmission Tower Tilting Trend
## 4 Experimental Results
### Field Test
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{3}{*}{**Position**} & \multirow{3}{*}{\begin{tabular}{c} **Measurements** \\ **in the \(x\)-Axis** \\ **Direction** \\ \end{tabular} } & \multirow{3}{*}{\begin{tabular}{c} **Measurements** \\ **in the \(y\)-Axis** \\ **Direction** \\ \end{tabular} } & \multirow{3}{*}{\begin{tabular}{c} **Synthesis** \\ **in the \(z\)-Axis** \\ **Direction** \\ \end{tabular} } & \multirow{3}{*}{\begin{tabular}{c} **\(x\)-Axis** \\ **Direction** \\ **Error** \\ \end{tabular} } & \multirow{3}{*}{\begin{tabular}{c} **\(y\)-Axis** \\ **Direction** \\ \end{tabular} } & \multirow{3}{*}{\
\begin{tabular}{c} **\(z\)-Axis** \\ **Direction** \\ **Error** \\ \end{tabular} } & \multirow{3}{*}{
\begin{tabular}{c} **Synthesis Error** \\ **Error** \\ \end{tabular} } \\
20 & 49.42 & 55.65 & 0.04 & \(-\)0.404 & \(-\)0.065 & \(-\)0.039 & \(-\)0.075 & \(-\)0.179 \\
40 & 42.04 & \(-\)56.91 & 0.03 & \(-\)0.213 & \(-\)0.092 & 0.001 & \(-\)0.009 & \(-\)0.100 \\
60 & \(-\)39.47 & 55.12 & \(-\)0.03 & \(-\)0.347 & 0.024 & 0.061 & 0.064 & 0.149 \\
80 & 10.17 & 41.46 & \(-\)0.04 & \(-\)0.232 & \(-\)0.009 & 0.051 & \(-\)0.034 & 0.008 \\
100 & 47.17 & \(-\)25.63 & 0.03 & \(-\)0.343 & 0.072 & \(-\)0.063 & 0.016 & 0.026 \\
120 & 23.31 & \(-\)46.86 & \(-\)0.06 & \(-\)0.308 & \(-\)0.060 & \(-\)0.036 & \(-\)0.024 & \(-\)0.120 \\
140 & \(-\)48.87 & 23.59 & \(-\)0.03 & 0.022 & 0.018 & 0.072 & 0.026 & 0.116 \\
160 & \(-\)9.06 & 49.00 & \(-\)0.07 & \(-\)0.371 & 0.031 & 0.049 & 0.093 & 0.173 \\
180 & \(-\)34.47 & 3.39 & \(-\)0.09 & \(-\)0.331 & 0.045 & 0.042 & 0.080 & 0.167 \\
200 & 38.60 & \(-\)15.25 & \(-\)0.09 & 0.247 & \(-\)0.098 & \(-\)0.051 & 0.056 & \(-\)0.093 \\
220 & 41.16 & \(-\)54.55 & 0.03 & \(-\)0.236 & 0.085 & 0.012 & \(-\)0.010 & 0.087 \\
240 & 22.61 & 2.53 & \(-\)0.08 & \(-\)0.146 & 0.064 & \(-\)0.065 & 0.080 & 0.079 \\
260 & 45.58 & \(-\)41.30 & 0.05 & 0.113 & \(-\)0.084 & \(-\)0.049 & \(-\)0.026 & \(-\)0.159 \\
280 & \(-\)58.62 & 40.45 & 0.02 & \(-\)0.313 & \(-\)0.092 & 0.049 & \(-\)0.013 & \(-\)0.056 \\
300 & \(-\)32.48 & \(-\)45.63 & 0.05 & 0.400 & 0.028 & 0.014 & \(-\)0.002 & 0.041 \\
320 & \(-\)1.69 & \(-\)22.75 & 0.10 & 0.268 & \(-\)0.068 & 0.069 & \(-\)0.026 & \(-\)0.024 \\
340 & \(-\)24.19 & 43.16 & \(-\)0.03 & 0.177 & \(-\)0.080 & \(-\)0.066 & \(-\)0.053 & \(-\)0.199 \\ Average & \multirow{2}{*}{5.43} & \multirow{2}{*}{2.66} & \multirow{2}{*}{\(-\)0.01} & \multirow{2}{*}{\(-\)0.093} & \multirow{2}{*}{\(-\)0.01} & \multirow{2}{*}{0.00} & \multirow{2}{*}{0.01} & \multirow{2}{*}{\(-\)0.002} \\ value & & & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Measurement and correction results. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{3}{*}{ \begin{tabular}{c} **Actual Tilt** \\ **Angle/\({}^{\circ}\)** \\ **Acceleration/\({}^{\circ}\)** \\ \end{tabular}  } & \multirow{3}{*}{**A = 0.25**} & \multirow{3}{*}{ \begin{tabular}{c} **Relative** \\ **Accuracy/\%** \\ \end{tabular}  } & \multirow{3}{*}{**A = 0.5**} & \multirow{3}{*}{\ \begin{tabular}{c} **Relative** \\ **Accuracy/\%** \\ \end{tabular}  } & \multirow{3}{*}{**A = 0.75**} & \multirow{3}{*}{ \begin{tabular}{c} **\(\mathbf{Accu}\)** \\ **Accuracy/\%** \\ \end{tabular}  } \\
20 & 0.13 & 0.19 & 0.20 & 0.33 & 0.03 & 0.03 \\
5 & 4.88 & 4.93 & 0.75\% & 4.85 & 2.2\% & 5.02 & 2.35\% \\
10 & 10.13 & 9.32 & 1.06\% & 9.95 & 0.26\% & 10.14 &