A data-driven classification of 3D foot types by archetypal shapes based on landmarks

PLoS One. 2020 Jan 30;15(1):e0228016. doi: 10.1371/journal.pone.0228016. eCollection 2020.

Abstract

The taxonomy of foot shapes or other parts of the body is important, especially for design purposes. We propose a methodology based on archetypoid analysis (ADA) that overcomes the weaknesses of previous methodologies used to establish typologies. ADA is an objective, data-driven methodology that seeks extreme patterns, the archetypal profiles in the data. ADA also explains the data as percentages of the archetypal patterns, which makes this technique understandable and accessible even for non-experts. Clustering techniques are usually considered for establishing taxonomies, but we will show that finding the purest or most extreme patterns is more appropriate than using the central points returned by clustering techniques. We apply the methodology to an anthropometric database of 775 3D right foot scans representing the Spanish adult female and male population for footwear design. Each foot is described by a 5626 × 3 configuration matrix of landmarks. No multivariate features are used for establishing the taxonomy, but all the information gathered from the 3D scanning is employed. We use ADA for shapes described by landmarks. Women's and men's feet are analyzed separately. We have analyzed 3 archetypal feet for both men and women. These archetypal feet could not have been recovered using multivariate techniques.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Aged
  • Anatomic Landmarks*
  • Data Analysis*
  • Female
  • Foot / anatomy & histology*
  • Humans
  • Male

Grants and funding

This work is supported by the following grants: DPI2017-87333-R from the Spanish Ministry of Science, Innovation and Universities (AEI/FEDER, EU) and UJI-B2017-13 from Universitat Jaume I. There was no additional external funding received for this study The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.