Abstract - Improving the movements of basic karate techniques with the use of motion capture and mathematical modeling. The concept of a research project
The purpose of this paper is to provide a method for mathematical modelling of martial arts and combat sports with the use of motion capture. The paper employs mathematical and computerised methods to analyse the movement dynamics in sports karate.Movement dynamics is one of the basic components of evaluating the sports level of a sports fighter (competitor). Modern computer technologies enable recording (capturing) and analysing physical values; they also enable statistical processing of this data. The research previously conducted at the University of Rzeszów studied an arbitrarily selected movement. The goal of the project is to evaluate the differences in the captured physical parameters which occur between novice fighters and recognised masters. This approach will enable instructors to define these differences, which should assist in selecting next training directions. Repeated capturing of the same movement will eliminate random factors. The purpose of statistical work is to eliminate measurement errors of the capturing instruments which trace the position of markers and of the instruments which record other physical quantities.One of the crucial elements of this research is the comparison of experimental results with applicable reference literature, where the latter proves that there is no mathematical model which describes the motion of the entire body of a fighter. The reference literature in the project description concerns the measurement of physical values of specific movement components, especially their maximum limit values.