Introduction. The challenges of placing virtual objects in a real-world environment limit the potential of augmented reality (AR) technology. This situation identifies a gap in scientific knowledge that requires additional research. Therefore, the main task of this study was to develop a method for optimal placement of virtual objects, in which the objective function of comfort was minimized. This approach is aimed at improving AR systems and developing the corresponding theory.Materials and Methods. The conducted research was based on the analysis of the placement of virtual objects in AR/VR applications with particular emphasis on optimization. The concept of comfort of placement was proposed, taking into account the size of the object and the distance to the boundaries of free space in X, Y, Z coordinates.Results. As part of the study, formulas were obtained for the optimal placement of objects with an arbitrary comfort function. The basic criterion was to minimize the difference between comfort levels from different sides of the object. It was found that a successful placement of objects required taking into account their size and comfort zones, as well as solving a system of n linear equations.Discussion and Conclusion. The results obtained make an important contribution to the study of the problem of placing virtual objects in AR/VR/MR. They open up new opportunities for improving user interaction and conducting further research in the field of spatial computing. Possible directions for further development are dynamic adjustments and integration of the results into various XR scenarios.

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The paper proposes approaches for analyzing user interaction with augmented reality objects and describes the results obtained from implementing the developed methods for optimal placement of virtual objects in augmented reality applications in practice. A large amount of collected experimental data is statistically analyzed to make sure that the previously proposed method of optimal augmented reality object placement really simplifies the user experience and reduces the time needed for object placement. The results of this analysis allow us to conclude the effectiveness of the proposed method. The current challenges of applications which implement augmented reality technology in the field of user experience and their solutions are also discussed. This research is conducted to find new methods for developing applications and services that present features to the user by applying augmented reality technology. Currently, there are many different algorithms that allow the recognition of anchor points in flat images and in space. However, at a higher level, there are many research tasks for developers on the most effective application of these algorithms and subsequent analysis of the data obtained. The active expansion of augmented reality and its gradual introduction into many areas of human activity is generating new topical challenges, which is the reason for the investigation of the described field in the present article.

The article presents the process of analysis, processing and compression of 3D objects for their further transfer to the end user over the network. The necessity to optimize the disk storage occupied by 3D textured models and to convert data into a format compatible with any robotic systems is a subject of the discussion. Comparison of a developed binary format with counterparts is resulted.