Shape descriptors applied tactical organization football

We proposed and evaluated different shapes
descriptors applied to images of polygons that represent the organization of
football teams on the pitch. The main idea was to establish which is the best
descriptor(s) to describe the shapes of the organization of teams throughout a
match. The shapes of organization
(images of polygons) of the teams were represented by the image of surface area
(formed by convex hull). The effectiveness of different shape descriptors was
evaluated (area/perimeter, fractal area, circularity, maximum fractal,
rectangularity, multiscale fractal curve - MFC), and the concatenation of all
shape descriptors (except MFC), denominated Alldescriptors) in polygons
corresponding to the shapes represented by the convex hull obtained from players’
2D coordinates. As a practical demonstration, when considering the MFC as a
good tool to describe the shapes of the organization of football teams, it was
possible to apply it for the analysis in a football match of the Brazilian
championship, presenting the shapes of organization that the teams performed
during the match.