The study of the spatial movement in biomechanics of sports with the help of quaternions

A study of the spatial movement of the musculoskeletal system of the athlete using a model of a biomechanical system with 25 links is presented. It is shown that in the analysis of sports exercises the problem is divided into a number of stages: full-scale experiment, automated processing of video results, the development of mathematical models using the algebra of quaternions and computational experiment on a computer. To obtain the initial data of the computational experiment, it is proposed to use the technology of “computer vision” based on the software complex iPi Soft. Thus the mathematical models are divided into two groups: those describing the movement of the pole of the biomechanical system, and the model based on quaternions for the description of the mechanics of the turns of the links in the joints of the musculoskeletal system of the athlete.