Mathematical model of the digital shadow of the human movement process

The process of forming a digital shadow of the human movement process is considered, which can be used in virtual reality systems, musculoskeletal rehabilitation, and other human-machine systems based on the analysis of the user’s movement. The most important step in creating the digital shadow is its formalization in the form of a mathematical model. At present, the issue of the formalization of digital shadows of various objects and processes has not been fully developed. The article discusses the development of the mathematical model of the digital shadow of the movement process, the novelty of which lies in combining information from four sources (three different motion capture systems and a complex of medical sensors to assess the physical condition of a person), as well as their synchronization and filtering. The obtained theoretical results will be used as a basis for software abstraction of the digital shadow in information systems to solve the problems of testing, simulating a person and modeling his reaction by summarizing the collected data arrays about his movement.