Fig 1.
QTC for describing soccer movements.
A fragment showing the positions of three players (Player1, Player2 and Player3) at four timestamps (t1, t2, t3, t4) on a soccer field (a). The QTCB-matrix sequence describing the spatial movements during this fragment. In the first matrix of the sequence, the movement of each player from t1 to t2 is described with respect to the position of all other players at t1. If this movement is towards another player at t1, the QTC-relation is denoted by ‘-’, if the movement is away from it, the QTC-relation is denoted by ‘+’. If the movement is neither away from nor towards the marker, the QTC-relation is denoted by ‘0’. The first character in each cell is the QTC-relation of the marker in the row header with respect to the marker in the column header, the second character is the QTC-relation of the marker in the column header with respect to the marker in the row header (b).
Fig 2.
The impact of a difference in speed on the distance between two fragments.
Two almost identical fragments with spatial movements of two players (Player1 and Player2) with small differences in speed along with the distances calculated between them based on pairwise comparisons and on the Levenshtein distance metric. The difference in speed occurs at t10 and t3 in fragment 1 and 2 respectively, and is emphasized by a double circle around the players’ positions.
Fig 3.
The impact of a difference of location on the field on the distance between two fragments.
The impact of a static point (Static1) on the distance between two identical fragments with spatial movements of three players (Player1, Player2 and Player3) taking place on different parts of the field.
Fig 4.
Reference soccer fragment of 20 seconds.
This fragment contains the spatial movements of two players (Player1 and Player2) together with four static points (Static1, Static2, Static3 and Static4). Small black dots on the trajectories indicate the positions of the players at every 2 seconds.
Fig 5.
Top nine results of the player spatial movement pattern detection with the reference fragment shown on top.
The results are ordered according to ascending distance to the reference fragment, with their rank numbers noted on the left top of the individual visualisations.
Fig 6.
Set-up and results of the duo-trio test.
The non-overlapping fragments ordered according to their distance with respect to the reference fragment, and the delineation of the groups A, B and C (a). The questions, answers and significance levels of the duo-trio test (b).