Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.

Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.

The aim of this study was to evaluate different shape descriptors applied to images of polygons that represent the organization of football teams on the pitch. The effectiveness of different shape descriptors (area/perimeter, fractal area, circularity, maximum fractal, rectangularity, multiscale fra...

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Autores principales: Murilo José de Oliveira Bueno, Maisa Silva, Sergio Augusto Cunha, Ricardo da Silva Torres, Felipe Arruda Moura
Formato: article
Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
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Science
Q
Acceso en línea:https://doaj.org/article/9eb7f577dbcb4c4fb88356ea6670da05
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spelling oai:doaj.org-article:9eb7f577dbcb4c4fb88356ea6670da052021-12-02T20:08:42ZMultiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.1932-620310.1371/journal.pone.0256771https://doaj.org/article/9eb7f577dbcb4c4fb88356ea6670da052021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0256771https://doaj.org/toc/1932-6203The aim of this study was to evaluate different shape descriptors applied to images of polygons that represent the organization of football teams on the pitch. The effectiveness of different shape descriptors (area/perimeter, fractal area, circularity, maximum fractal, rectangularity, multiscale fractal curve-MFC), and the concatenation of all shape descriptors (except MFC), denominated Alldescriptors (AllD)) was evaluated and applied to polygons corresponding to the shapes represented by the convex hull obtained from players' 2D coordinates. A content-based image retrieval system (CBIR) was applied for 25 users (mean age of 31.9 ± 8.4 years) to evaluate the relevant images. Measures of effectiveness were used to evaluate the shape descriptors (P@n and R@n). The MFD (P@5, 0.46±0.37 and P@10, 0.40±0.31, p < 0.001; R@5, 0.14±0.13 and R@10, 0.24±0.19, p < 0.001) and AllD (P@5 = 0.43±0.36 and P@10 = 0.39±0.32, p < 0.001; R@5 = 0.13±0.11 and R@10 = 0.24±0.20, p < 0.001) descriptors presented higher values of effectiveness. As a practical demonstration, the best evaluated shape descriptor (MFC) was applied for tactical analysis of an official match. K-means clustering technique was applied, and different shapes of organization could be identified throughout the match. The MFC was the most effective shape descriptor in relation to all others, making it possible to apply this descriptor in the analysis of professional football matches.Murilo José de Oliveira BuenoMaisa SilvaSergio Augusto CunhaRicardo da Silva TorresFelipe Arruda MouraPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 9, p e0256771 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Murilo José de Oliveira Bueno
Maisa Silva
Sergio Augusto Cunha
Ricardo da Silva Torres
Felipe Arruda Moura
Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
description The aim of this study was to evaluate different shape descriptors applied to images of polygons that represent the organization of football teams on the pitch. The effectiveness of different shape descriptors (area/perimeter, fractal area, circularity, maximum fractal, rectangularity, multiscale fractal curve-MFC), and the concatenation of all shape descriptors (except MFC), denominated Alldescriptors (AllD)) was evaluated and applied to polygons corresponding to the shapes represented by the convex hull obtained from players' 2D coordinates. A content-based image retrieval system (CBIR) was applied for 25 users (mean age of 31.9 ± 8.4 years) to evaluate the relevant images. Measures of effectiveness were used to evaluate the shape descriptors (P@n and R@n). The MFD (P@5, 0.46±0.37 and P@10, 0.40±0.31, p < 0.001; R@5, 0.14±0.13 and R@10, 0.24±0.19, p < 0.001) and AllD (P@5 = 0.43±0.36 and P@10 = 0.39±0.32, p < 0.001; R@5 = 0.13±0.11 and R@10 = 0.24±0.20, p < 0.001) descriptors presented higher values of effectiveness. As a practical demonstration, the best evaluated shape descriptor (MFC) was applied for tactical analysis of an official match. K-means clustering technique was applied, and different shapes of organization could be identified throughout the match. The MFC was the most effective shape descriptor in relation to all others, making it possible to apply this descriptor in the analysis of professional football matches.
format article
author Murilo José de Oliveira Bueno
Maisa Silva
Sergio Augusto Cunha
Ricardo da Silva Torres
Felipe Arruda Moura
author_facet Murilo José de Oliveira Bueno
Maisa Silva
Sergio Augusto Cunha
Ricardo da Silva Torres
Felipe Arruda Moura
author_sort Murilo José de Oliveira Bueno
title Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
title_short Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
title_full Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
title_fullStr Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
title_full_unstemmed Multiscale fractal dimension applied to tactical analysis in football: A novel approach to evaluate the shapes of team organization on the pitch.
title_sort multiscale fractal dimension applied to tactical analysis in football: a novel approach to evaluate the shapes of team organization on the pitch.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/9eb7f577dbcb4c4fb88356ea6670da05
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AT maisasilva multiscalefractaldimensionappliedtotacticalanalysisinfootballanovelapproachtoevaluatetheshapesofteamorganizationonthepitch
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AT felipearrudamoura multiscalefractaldimensionappliedtotacticalanalysisinfootballanovelapproachtoevaluatetheshapesofteamorganizationonthepitch
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