Representação da área de responsabilidade de jogadores de futebol através do Diagrama de Voronoi

TL;DRAbstract

The performance of football elite players is directly influenced by physical, psychological, technical and tactical aspects.A scientific support capable of seek and apply methodologies to quantifying these factors is an important source of information to coaches improve their conditions to well prepare their teams.About football tactical aspects, the manner a team share the pitch in responsibility areas and how this distribution behaviours during the match can be described through mathematical techniques.Thus, the aim of this study is to show players' responsibility area during official matches using Voronoi Diagram (VD).To do so, we collected images of 4 football matches.To extract 2D players' coordinates during the entire match, images segmentation, tracking and 2D reconstruction were performed in DVideo ® software.In the analysis, VD method was applied to players' 2D coordinates to all 33 players of a same team, at each instant of time and in the 4 matches.Given a set of points on p

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