## 4 Results
Accordingly, measurements for each of the three objects were obtained across the 18 experiments defined in Table 2. After that, the relative error of each of these measurements was calculated, and an average of the errors for each experiment was computed. \begin{table}
\begin{tabular}{l l l l l} \hline \hline
**Tool** & **Pros** & **Cons** & **Best Use Case** & **Platform** \\ \hline Polycam & High-quality 3D scans with detailed textures. & Heavier on device processing power. & Professional use: architecture, engineering, and design fields. & iOS, Android, and Web. \\  & Supports both LiDAR and & & & \\  & photogrammetry modes. & & & \\  & Cloud processing for advanced & & & \\  & editing and sharing & & & \\ \hline Scaniverse & User-friendly interface, great for beginners. & Lacks some advanced & Beginners or casual & iOS only. \\  & Produces high-quality & No direct cloud & & \\  & 3D models. & processing for & & \\  & & large models. & & \\ \hline
3D Scanner App & Compatible with LiDAR and & Interface can feel less & Ideal for detailed & iOS only. \\  & ARKit-enabled devices. & intuitive compared & LiDAR scans for & \\  & High precision and & to Scaniverse. & technical and & \\  & reliable outputs. & Requires a strong & creative projects. & \\  & Allows for easy export in & learning curve & & \\  & various formats & for advanced & & \\  & (e.g., OB), STL). & functionalities. & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Comparative analysis of LiDAR applications. To illustrate this process, its application to Experiment 1 using the parallelepiped game box is presented. The sides of this structure, labeled as a, b, and c in Figure 3a, have real measurements of 35.4 cm, 25.0 cm, and 5.7 cm, respectively. For each of these measurements, the relative error, \(\mathrm{E_{r}}\), was calculated using the following equation:  
\[\mathrm{E_{r}}=\frac{\left|\mathrm{M_{R}-M_{M}}\right|}{\mathrm{M_{R}}} \tag{1}\]  
in which \(\mathrm{M_{R}}\) represents the real measurement and \(\mathrm{M_{M}}\) the measured value. The values of the obtained \(\mathrm{M_{M}}\) for each of the sides of the structure and the obtained errors for the Experiment 1 are summarized in Table 4. Analysis of this table shows that the errors for this experiment range from 1.6% on side b to 6.2% on side a. Therefore, it can be noted that the observed measurement error between the game box and its models is 6.2%, 1.6% and 5.3%, respectively. In order to summarize these found errors in an overall error, the term \(\mathrm{E_{o}}\) (representing the overall error) has been defined. This value was calculated by averaging the absolute values of errors (\(\mathrm{E_{r}}\), from Table 3) as shown in the following equation:  
\[\mathrm{E_{o}}=\frac{\left|\mathrm{E_{R,a}}\right|+\left|\mathrm{E_{R,b}} \right|+\left|\mathrm{E_{R,c}}\right|}{3} \tag{2}\]  
in which, \(\mathrm{E_{R,a}}\), \(\mathrm{E_{R,b}}\), and \(\mathrm{E_{R,c}}\) represent the relative errors in sides a, b, and c, respectively. Therefore, considering the example presented above, the value of \(\mathrm{E_{o}}\) for the Experiment 1 was 6.4%. The \(\mathrm{E_{o}}\) for the three objects described in Figure 3 is summarized in Table 5.  
To analyze the variance of the errors, the obtained \(\mathrm{E_{o}}\) values for each experiment described in Table 4 were introduced into the MINITAB program ([[https://www.minitab.com/es-mx/](https://www.minitab.com/es-mx/)]([https://www.minitab.com/es-mx/](https://www.minitab.com/es-mx/)), accessed on 3 November 2024) [39], and an ANOVA analysis was conducted. The \(p\)-value obtained by this analysis enabled the identification of the scanning parameters with statistical significance. Finally, the optimal level of statistical significance for the scan \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Experiment 1** & **a** & **b** & **c** \\ \hline \(\mathrm{M_{R}}\) & 35.4 cm & 25.0 cm & 5.7 cm \\ \hline \(\mathrm{M_{M}}\) & 33.2 cm & 24.6 cm & 6.0 cm \\ \hline \(\mathrm{E_{r}}\) & 6.2\% & 1.6\% & 5.3\% \\ \hline \hline \end{tabular}
\end{table}