https://doi.org/10.1051/epjconf/202531804012
Construction of systems of kinematics and dynamics equations in mathematical rigging models for immersive environments
1 Krasnoyarsk Science and Technology City Hall of the Russian Union of Scientific and Engineering Public Associations, Krasnoyarsk, Russia
2 Krasnoyarsk State Agrarian University, Krasnoyarsk, Russia
3 Navoi State University of Mining and Technologies, Navoi, Uzbekistan
4 Siberian Federal University, Krasnoyarsk, Russia
5 Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia
6 National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers", Tashkent, Uzbekistan
7 FSBEE HE Siberian Fire and Rescue Academy EMERCOM of Russia, Zheleznogorsk, Russia
* Corresponding author: alena.yabl@yandex.ru
Published online: 17 February 2025
The article discusses key aspects of constructing rigging equation systems in immersive environments based on physical laws, including kinematics and dynamics equations. It examines the mathematical models and methods underlying these systems, as well as their integration to create realistic and efficient virtual worlds. Special attention is given to the development of equations for mathematical rigging models that determine the operator's movement in a virtual nuclear power plant simulator. Taking into account the laws of physics in mathematical rigging models based on determining the structure of the user's skeleton and objects, as well as constructing kinematics and dynamics equations, allows characters to move naturally and react to interaction with the environment. The article is of interest to virtual reality specialists, and researchers involved in computing, mathematical modeling novel physics in virtual reality labs and computer graphics.
© The Authors, published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
