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A convex hull is a geometrical term that can provide quick insight into team spatial positioning. It is defined as the smallest polygon that contains all points of interest and can be used to derive various summary statistics. Primarily, the area of the convex hull can be used to measure how much stretched a team is. In defensive context, we could immediately filter situations where the whole team shaped was damaged by a player who was out of position (either a defender, who is breaking a line or a forward who is not engaged in the defensive activity at the moment). On the other hand, in the offence coaches often ask wingers or wingbacks to position themselves widely in order to create more space in the middle - any failure of execution can be immediately spotted through the use of convex hull. This can simplify the work of Video Analysts.

convex_hull_animation

Data source: STATS 2018 (the dataset was previously used in Le et al. 2007)