## 3 Results and Discussions
### Systematic Distribution of Measurement Points
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Category** & **Advantages** & **Disadvantages** \\ \hline \multirow{5}{*}{CNC Machine} & - The highest measurement accuracy (flatness error f = 61.9 \(\upmu\)m). & - The longest measurement time, especially for a large number of points (23 min for 60 points). \\  & - The highest repeatability of results (range 55–65 \(\upmu\)m for 60 points). & - Slow device movement significantly extends the testing time. \\  & - Possibility of full automation of the measurement process. & - Requires programming and training of personnel to operate the device. \\ \hline \multirow{5}{*}{Manual Machine} & - Speed in preparation and performing the measurement (13 min for 100 points). & - Lower repeatability of results due to operator handling (error range 60–65 \(\upmu\)m only achieved with 100 points). \\  & - Low cost, especially for single or small-batch production. & - Requires a skilled operator. \\  & - No need for complex programming. & - Lower accuracy compared to the CNC machine (f = 63.6 \(\upmu\)m). \\ \hline \multirow{5}{*}{Measuring Arm} & - The shortest overall measurement time for a large number of points (over 180 points). & - The largest measurement error among the three devices (f = 79.7 \(\upmu\)m). \\  & - Fast measurements from the moment of preparation. & - Average error range stabilizes only with a larger number of points. \\ \cline{1-1}  & - Compact size and mobility. & - Lower precision for applications requiring very high accuracy. \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Advantages and disadvantages of measurements depending on the machine [own research]. \begin{table}
\begin{tabular}{c c} \hline \hline
**Advantages** & **Disadvantages** \\ \hline A comprehensive analysis of three flatness measurement methods allows for assessing their suitability for various applications (production, repairs). & Measurement requires a large number of measurement points to obtain reliable results, which increases the time and complexity of the research. \\ \hline Comparison of different measurement approaches (manual, semi-automated, automated) provides a broad technical context. & Results from different devices may be inaccurate or difficult to compare when the number of measurement points is limited. \\ \hline Highlighting the impact of the number of measurement points on accuracy and repeatability of results provides practical conclusions for users. & It is challenging to precisely determine time and cost requirements for different methods in specific cases. \\ \hline The possibility to evaluate trade-offs between measurement time, cost, and accuracy depending on the device used. & Despite using different methods, high repeatability may not always be achieved with fewer measurement points. \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Advantages and disadvantages of the approach presented in the article [own research]. Application scenarios: (1) Manual method. * Restoration of monuments and conservation work: Where precision and gentle handling are essential and modern methods may be too invasive for delicate materials. * Small craft workshops: In the case of low-volume production, where the costs of introducing automated measuring systems are not economically justified. * Education and training: As a basic method for teaching the foundations of measurement techniques, allowing the understanding of basic principles without the need for advanced technology. (2) Semi-automatic method. * Small- and medium-sized manufacturing companies: Where greater efficiency is required than with manual methods, but full automation is not justified due to production variability or costs. * Prototyping and testing: Where rapid adaptation to different types of measurements is necessary, and at the same time, greater precision is needed than with fully manual methods. * Quality control in series production: As a compromise between speed and cost, allowing for quick switching between different product batches. (3) Fully automatic method.