## 1 Introduction  
The construction of new buildings includes modern methods that allow the creation of 3D digital models and complete drawing documentation in a form that covers all the necessary steps from idea to implementation. Tools used are mostly CAD (computer assisted design) [1] for civil engineers and BIM (building information modeling) [2] software, designed mostly for architects. The situation is different in the case of old and historical buildings that are part of the cultural heritage of the given country. Many of them are damaged by weather, natural disasters, traffic impacts, air pollution, or destructive human activity. In many cases they require partial or complete reconstruction. Detailed printed documentation of the building is usually not available. During the reconstruction process, historical photographic documentation is used but, in such cases, it must be detailed enough. It is also possible to draw blueprints from detailed painted pictures. CAD and BIM [3] software cannot be used for the abovementioned purpose, but offers reverse engineering functions to support the reconstruction process. With the help of several modern technologies within the processes of reverse engineering, a very accurate 3D digital model can be created from an existing real object. At the end of the process, printed documentation can be generated from the created model. In such case it is possible to archive the current state of the cultural monument and, additionally, all steps of the reconstruction phase, where the model is updated according to completed work, new discoveries, or unintentional changes in the structure. The resulting 3D digital models can also be used for presentation and educational purposes and, in the case of an unexpected destruction of the building, they also provide a source of information for potential virtual models. They can be moved into virtual reality and enable virtual tours not only for small VR devices but also for large CAVE (computer assisted virtual environment) projection devices [4]. The SWA (School-Work Alternation) project [5], a training project focused on cultural heritage, deals with the acquisition of technical and methodological tools for knowledge access, preservation and enhancement of cultural heritage, with special regard to diagnostic tools and information and communication technologies. It also assesses the technical-professional and crosscutting skills that students have acquired or are expected to have. The European Commission is active in the preservation of cultural heritage, not only in its physical but 3D digital forms. One of the digital platforms is the Europeana [6], which allows people to discover historic sites and hidden gems across Europe. It provides access to more than 51 million items (including images, text, sound, video and 3D materials) from the collections of more than 3700 libraries, archives, museums, galleries and audiovisual collections across the Europe [7]. Research in 3D scanning and reconstruction covers the problem of cultural heritage digitization. The authors of [8] present creation of a 3D model using photogrammetric and geodetic measurements, data transfer to AutoCAD and Adobe Photoshop and production of a final photorealistic digital model in 3D StudioMAX. However, they do not deal with the creation of printed construction documentation. A case study of the Museum of [PERSON]'s Palace at Wilanow [9] describes the creation of a 3D model using terrestrial laser scanning (TLS) and photogrammetry. Since the building was in a good, fully functional state, it was not suitable for reconstruction activities (undertaken when no printed documentation is available and thus must be produced from an incomplete building). A paper dealing with the digitization of the medieval castle of Haut-Andlau (Alsace, France) [10] compares geodetic, TLS and photogrammetry techniques, but provides no clear recommendation, since specific limitations were observed for each discussed method.