Analysis of football player’s motion in view of fractional calculus

• Authors: Micael Couceiro , Filipe Clemente , Fernando Martins
• Languages of publication: EN

Abstracts

EN

Accurately retrieving the position of football players over time may lay the foundations for a whole series of possible new performance metrics for coaches and assistants. Despite the recent developments of automatic tracking systems, the misclassification problem (i.e., misleading a given player by another) still exists and requires human operators as final evaluators. This paper proposes an adaptive fractional calculus (FC) approach to improve the accuracy of tracking methods by estimating the position of players based on their trajectory so far. One half-time of an official football match was used to evaluate the accuracy of the proposed approach under different sampling periods of 250, 500 and 1000 ms. Moreover, the performance of the FC approach was compared with position-based and velocity-based methods. The experimental evaluation shows that the FC method presents a high classification accuracy for small sampling periods. Such results suggest that fractional dynamics may fit the trajectory of football players, thus being useful to increase the autonomy of tracking systems.

Keywords

EN

football; prediction methods; fractional calculus; fractional dynamics

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 714-723

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Micael Couceiro

• RoboCorp — Engineering Institute of Coimbra, Rua Pedro Nunes — Quinta da Nora, 3030-199, Coimbra, Portugal

author

Filipe Clemente

• Faculty of Sport Sciences and Physical Education — University of Coimbra, Estádio Universitário de Coimbra, Pavilhão 3, 3040-156, Coimbra, Portugal

author

Fernando Martins

• Instituto de Telecomunicações (Covilhã) — ESE Coimbra, Convento Santo António, 6201-001, Covilhã, Portugal

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Identifiers

DOI

10.2478/s11534-013-0258-5