## 1 Introduction
Measured data, usually represented as point clouds, do not contain topological information and so are often processed as a triangular mesh (STL) file, then modeled into a usable format, such as a set of non-uniform rational basis splines (NURBS) or a solid CAD model [19; 20]. Small and large companies alike are using reverse engineering to bring physical geometry into the digital environment. It can be easily transferred to a computer screen, but the overall process is much more complex. Some companies use the reverse technique when they do not yet have similar products to create their own products. This information is also digital input data for processing in CAD software, which the computer uses for the integral design of the products, and the direct obtaining of the driving programs necessary for the manufacturing system, or CAM, which the computer uses for driving/managing various machines and equipment. To create a fully parameterized model, an advanced CAD package (e.g., Catia, SolidWorks, etc.) is usually used to achieve the final result. There are also inherent fidelity losses that occur during the reverse engineering process, most often due to measurement equipment containing volumetric precision tolerances due to system or environmental noise; one of the negative effects can be the loss of sharp edge detail. Embossed designs, molded holes, and edges are some of the features to consider. The measuring heads can accurately measure very small radii, but the process is a slow one. Laser scanners set to a minimum point spacing can collect fine detail, but small features are lost in the noise generated by uncertainty. A comparison is possible between the benefits of measuring head scanning and laser or white light scanning, for example, in terms of data collection speed and network processing. Specifically, the measuring head is slower in data collection, but allows for faster processing. Laser or white light scanners allow for rapid data collection but reduce network processing speed. The proprietary reverse engineering software of the scanning/ palpation device can interpret the measured data by generating a 3D point cloud network. Although the software is standalone, it can be easily interfaced with third-party programs such as Polyworks, Geomagic, and Rapidform. The 3D data, in the form of a \"point cloud\", are then transmitted through the information acquisition tools in an organized, orderly system, corresponding to the actual geometric position of the scanned surface relative to a previously established reference point. The data are processed mathematically, geometrically, logically, naturally, and conventionally [21; 22]. This multitude of points will create a virtual image of determined surfaces--the more there are, the greater the correspondence between real and virtual will be--but with a better accuracy of the final image of the product. The choice of the CMM must be made according to the product. According to the required applications, there are 3D measuring machines by point-to-point palpation (direct contact with the product) or 3D measuring machines by scanning (indirect method, by non-destructive irradiation). The non-invasive laser beam technology captures, point by point, the out-of-phase reflections of frequency modulated signals. It is a much faster, efficient process, which can be carried out practically on any geometric configuration of the contour to be analyzed and, unlike the point-by-point palpation method, it collects a sufficient number of landmarks, which is very advantageous in terms of accuracy and roughness. The method variation used in 3D printers, the material used, the temperature of the environment during the production in the 3D printer, and the sensitivity of the electronic and mechanical system also affect the results of the deflection analysis [23; 24]. Considering the average accuracy values of the modeling process, it is observed that the average accuracy rate decreases gradually as the value of the scale factor decreases.