Abstract: The article summarizes the results of a two-year study of the issues related to the virtual reality and augmented reality technologies use to virtually reconstruct Moscow Bely Gorod in the 16th-18th centuries. The authors describe mathematical methods, software and hardware which grant access to the historical reconstruction of historical urban landscapes. An important feature of the reconstruction is the source verification module which was used to construct three-dimensional models of the landscape, buildings and the general scenery. The article names the basic principles which the verification module and its interface are based on and considers some optimum problems solved when constructing the interface. The project uses a hybrid motion tracking system as a combination of optical and inertial data. The archival sources used in the reconstruction process are presented in the virtual environment by means of a 3D graphical user interface for the virtual reality. The information displayed is generated from the database of historical sources which includes information about the urban development and individual buildings of Bely Gorod, their parts, location, purpose, owners and construction date. The database contains both text and graphic historical sources. The results obtained also include new algorithms, software and hardware systems as well as the experiment results. 

Abstract: The article sets a problem focusing on how to optimize the order of 3D user interface for virtual reconstruction of Moscow historical center landscape in the 16th-18th centuries. To work with the interface a virtual reality headset, a motion tracking system and an eye-tracker were integrated. Spatial representation of the historical reconstruction is accompanied by a specialized interface that allows one to access the source database. The authors introduce a criterion that provides for estimating the optimum order of interface elements in the virtual space. The problem is handled in case there are unknown factors such as the size of user's hands, deviations in the position of an interactive object and restrictions related to the disposition of interface elements. The article sets the general problem and solves some internal problems related to the construction of acceptable multiple dispositions of interface elements and the modeling of eyesight movement from one interface element to another. The article is the first to suggest an algorithm to numerically optimize the interface in 3D virtual space modeling the relief and historical buildings in the center of Moscow. It provides for user’s movement and gives access to historical sources which are the basis for virtual reconstruction of the heritage understudy.