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描述竞争足球队的空间结构
Guy Amichay1,2,3, Hugo Silva4,5, João Brito6,7
1Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL, USA. guy.amichay@northwestern.edu.
Scientific reports
|October 9, 2025
概括
足球分析以新的指标进步. 分析球员轨迹揭示了球队的空间结构,发现内部和外部凸船体面积比率始终接近0.5.5.
科学领域:
- 运动分析 运动分析
- 足球分析 足球分析
- 空间几何学空间几何学
背景情况:
- 足球分析的进展受到数据和指标稀缺性的限制.
- 像凸船体这样的现有指标忽略了内部玩家的贡献.
- 团队的空间结构和集体行动洞察力未被充分探索.
研究的目的:
- 用玩家轨迹数据分析团队空间结构.
- 开发一种缩团队几何学的新型度量.
- 为了研究内部和外部凸起的船体区域之间的关系.
主要方法:
- 分析了12场足球比赛的球员轨迹.
- 计算了内部玩家的外凸体和内凸体.
- 计算了船体内外凸起面积的比例.
主要成果:
- 一个一致的模式出现了:内外凸船体面积比率几乎总是在0.5.5左右.
- 这一发现对于进攻和防守两种阵型都适用.
- 没有观察到内层面积超过外层面积的50%的情况.
结论:
- 层比度提供了对团队空间几何学的可靠衡量.
- 0.5比率似乎是团队组成的一般特征.
- 这项研究为探索空间几何学在足球中的战略相关性奠定了基础.
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