## 1 Introduction
However, an analysis of recent literature did not find a comprehensive research approach for the multiscale evaluation of jaw geometry reproduction using a 3D scanner, micro-CT, or focus variation microscope. Such data fusion is a novel approach that could provide many benefits to dental science. Accuracy analyses of materials used in dental implants and orthodontics have been performed. Studies on the accuracy of geometry mapping were presented, for example, by the authors in [31; 32; 33; 34; 35]. These studies, however, were primarily directed towards macroscale geometry analysis. Microscale measurements were directed at determining the surface roughness parameters of orthodontic arches made of different materials [9]. Length and angle metrology has also been undergoing intensive development for many years. This development is linked to the Industry 4.0 strategy in which angle metrology indirectly fits [36]. One of the key trends in 4.0 metrology is the use of multisensor and multiscale analysis [37; 38; 36]. The use of different sensors makes it possible to acquire data using different techniques. Each sensor provides a different set of information, and the combination of these data gives full multiscale information [39]. All this information is based on coordinate metrology, which is a technique that involves measuring geometric features. While this technique is commonly associated with largescale measurements considered to be macro, it also applies to smaller scales such as the nano- and microscale, where this method can measure surface irregularities, as well as the intermediate (meso-) scale, where it can measure the transition between irregularities and geometric features. As dimensions become smaller, the boundaries between scales become blurry, and it is important to analyze the object being measured across all scales to obtain a complete picture. Therefore, metrological verification must include measuring geometric features and shapes, as well as surface roughness, to provide a holistic view of the object being measured. The aim of the research presented in this article was to confirm the desirability of using state-of-the-art measuring CMs operating at different scales to comprehensively evaluate the representation of jaw geometry obtained using selected orthodontic materials. Such a comprehensive approach has not been presented before, which is the novelty of this article. The increasing demands of patients and the expectations of dentists and dental technicians mean that extensive multiscale examinations should become a common procedure in the near future. The use of a multiscale approach to measurement allows the fusion of data describing different areas of information. Macroscale measurements describe the jaw geometry, the shape and position of individual teeth, as well as the position of teeth relative to each other. The micro-CT examination also allows the impression to be measured together with the jaw model and evaluated without physical separation. Due to its resolution, this method also allows the evaluation of details \"invisible\" to a 3D scanner. On the other hand, the measurement of surface topography with a focus variation microscope allows a very precise evaluation of the surface for all types of elements measured. The complete data include a set of triangle meshes (STLs) that can be interconnected, enabling the microscale data to be position-defined (specific position) using the macroscale data. This approach also allows the impression material to be assessed in relation to \"large flat\" tooth surfaces and hard-to-reach areas.