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Coordinate transformations for characterization and cluster analysis of spatial configurations in football

机译:用于足球空间配置的表征和聚类分析的坐标转换

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摘要

Current technologies allow movements of the players and the ball in football matches to be tracked and recorded with high accuracy and temporal frequency. We demonstrate an approach to analyzing football data with the aim to find typical patterns of spatial arrangement of the field players. It involves transformation of original coordinates to relative positions of the players and the ball with respect to the center and attack vector of each team. From these relative positions, we derive features for characterizing spatial configurations in different time steps during a football game. We apply clustering to these features, which groups the spatial configurations by similarity. By summarizing groups of similar configurations, we obtain representation of spatial arrangement patterns practiced by each team. The patterns are represented visually by density maps built in the teams’ relative coordinate systems. Using additional displays, we can investigate under what conditions each pattern was applied.
机译:当前的技术允许以高精度和时间频率来跟踪和记录足球比赛中的球员和球的运动。我们展示了一种分析足球数据的方法,旨在找到野外球员空间布局的典型模式。它涉及将原始坐标转换为相对于每个团队的中心和进攻向量的球员和球的相对位置。从这些相对位置,我们得出用于表征足球比赛中不同时间步长的空间配置的特征。我们将聚类应用于这些特征,这些特征通过相似性对空间配置进行分组。通过汇总相似配置的组,我们获得每个团队实践的空间布置模式的表示。图案由团队相对坐标系中构建的密度图直观地表示。通过使用其他显示,我们可以研究在每种条件下应用了每种模式。

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