## 5 Analysis of Industrial Field Application Results  
The measurement system described in this article has been applied in the industrial field, mainly including site hardware installation, integrated circuit layout, control system development, and visual interface software, as shown in Figure 15.  
To verify the measurement error and evaluate the performance of the measurement system, this paper analyzes and compares three results: theoretical values of 100 cross-section boards, actual measured values by humans, and values obtained from the measurement system. The manual measurements are shown in Figure 15 to further test the measurement accuracy of the measurement system. The comparative results are as follows. The measurement standards in industrial production sites allow for a length measurement error of \(\leq\)50 mm, width measurement error of \(\leq\)5 mm, and diagonal difference measurement error of \(\leq\)5 mm. (1) Results of the cross-cutting board length inspection  
The theoretical values, actual measurement values, detection values, and detection error results for the length of 100 cross-cutting boards on site are shown in Table 3. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Parameter** & **Theoretical** & **Manually Measured** & **System Values/mm** & **Measurement** \\  & **Values/mm** & **Values/mm** & **Error/mm** \\ \hline Length & 10,000 & 10,008 & 10,040 & 32 \\ Width & 1585 & 1585 & 1586 & 1 \\ Diagonal difference & 0 & 1 & 0 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Measurement results of the cross-cutting board dimensions. Figure 15: Artificial on-site measurement. The graph in Figure 16 shows the variation curve of theoretical values, actual measured values, and measurement system values for the length of 100 cut boards. The theoretical values are represented by a black line, the manually measured values are represented by a red line, and the detection values are represented by a blue line. Theoretical values are merely ideal production values, but there will be differences in the actual production process. The accuracy of the measurement system is mainly verified by comparing the manually measured values with the system-measured values. According to Figure 17, the length detection error can be obtained as follows: the maximum is 18 mm, the minimum is \(-\)21 mm, and the overall error is \(\leq\)\(\pm\)25 mm. After board #40, the speed of the roller conveyor was reduced, and the vibration amplitude of the cross-cutting board decreased. Therefore, the measured values tended to be stable. Overall, it meets the requirements for on-site production. \begin{table}
\begin{tabular}{c c c c c} \hline
**Board Number** & **Theoretical** & **Manually** & **System** & **Error** \\  & **Values/mm** & **Measured** & **Values/mm** & **Error** \\  & & & & \\ \hline
1 & 10,000 & 10,010 & 10,000 & \(-\)10 \\
2 & 10,000 & 10,021 & 10,009 & \(-\)12 \\
3 & 10,000 & 10,011 & 10,000 & \(-\)11 \\
4 & 10,000 & 10,100 & 10,088 & \(-\)12 \\
5 & 10,000 & 9996 & 10,010 & 14 \\
6 & 10,000 & 10,016 & 10,008 & \(-\)8 \\
7 & 10,000 & 10,022 & 10,008 & \(-\)14 \\  & & & & \\
99 & 10,000 & 10,015 & 10,025 & 10 \\
100 & 10,000 & 10,006 & 10,016 & 10 \\ \hline \end{tabular}
\end{table} 
Table 3: Measurement results of the length of 100 cross-cutting boards. Figure 16: Analysis of the comparison of cross-cutting boards lengths. The industrial application of the measurement system is shown in Figure 18. The graph in Figure 19 shows the variation curve of theoretical values, actual measured values, and measurement system values for the width of 100 cut boards. The theoretical values are represented by a black line, the manually measured values are represented by a red line, and the detection values are represented by a blue line. Theoretical values are merely ideal production values, but there will be differences in the actual production process. The accuracy of the measurement system is mainly verified by comparing the manually measured values with the system-measured values.