无需训练的球员位置补全，显著提升广播视频中的足球空间分析精度
Training-Free Off-Screen Player Imputation for Broadcast-Based Spatial Football Analytics
- 基于可见球员角色偏移投票，在线补全被遮挡球员位置
- 隐藏区域误差减半，控球权误差降至原方法的28%-48%
- 适用于真实比赛直播分析，可改变关键决策判断
足球空间分析指标（如场地控制）依赖全部22名球员的位置数据，但主流广播镜头仅能捕捉10-16人。我们构建了一个可复现的基准：将模拟广播视角应用于公开的全场追踪数据（Metrica Sports；三场比赛，一场比赛用于方法开发）。若忽略屏幕外球员（即无补全的基线），隐藏区域的场地控制误差高达25.1-26.9百分点，平均绝对控球份额误差为11.1-13.4百分点。我们评估了一系列无需训练、在线运行的补全方法。最佳方案为“角色锚定质心投票”（每名可见球员根据其位置角色偏移投票至全队质心），将隐藏区域误差降至12.2-13.8百分点，控球份额误差降至原方法的28%-48%（在36-60米视口宽度下均成立）。对于遮挡时间≤9.6秒的情况，位置误差中位数为3.3-8.9米；但50%-57%的隐藏球员观测超出该范围。集成至广播视频游戏状态重建流程后，下游的控球质量评分（Space-Creation Index）在两段世界杯实播片段中分别提升15.6和17.2点，导致一次判别结果反转。
原文摘要 · Abstract (English)
Spatial football metrics such as pitch control assume access to the positions of all 22 players, yet the most widely available source of positional data -- the broadcast main camera -- shows only 10-16 of them at any moment. We quantify the resulting distortion with an open, reproducible benchmark: a simulated broadcast viewport applied to open full-pitch tracking data (Metrica Sports; three matches, one held out from method development). Ignoring off-screen players -- the visible-only baseline implied whenever a video-based game-state-reconstruction (GSR) pipeline adds no imputation layer -- inflates hidden-zone pitch-control error to 25.1-26.9 percentage points and a mean absolute control-share error of 11.1-13.4 points across the three matches. We then evaluate a ladder of training-free, online imputation baselines that use only observations from the match being analysed. The best overall on these decision-relevant metrics, role-anchored centroid voting (each visible player votes for the full-team centroid by subtracting its running role offset, attenuating the viewport-induced subset bias), roughly halves hidden-zone error (to 12.2-13.8 points) and cuts control-share error to 28-48% of the ignore policy at every viewport width from 36 m to 60 m in all three matches. For occlusions <=9.6 s -- the regime of the closest learned prior work -- it reaches binwise median position errors of 3.3-8.9 m; but 50-57% of hidden-player observations lie beyond that regime. Integrated end-to-end into a broadcast-video GSR pipeline, imputation moves a downstream possession-quality score (Space-Creation Index) by 15.6 and 17.2 points on two real World Cup broadcast windows, flipping the verdict class in one.
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