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

      Alcacer Sales, Aleix; Epifanio, Irene; Ibáñez Gual, Maria Victoria; Simó, Amelia; Ballester, Alfredo Costin Daniel Untaroiu (Virginia Tech, USA) (2020-01-30)
      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 ...
    • openAccess   A New Geometric Metric in the Shape and Size Space of Curves in R n 

      Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria MDPI (2020-10-01)
      Shape analysis of curves in Rn is an active research topic in computer vision. While shape itself is important in many applications, there is also a need to study shape in conjunction with other features, such as scale and ...
    • openAccess   Archetypal analysis with missing data: see all samples by looking at a few based on extreme profiles 

      Epifanio, Irene; Ibáñez Gual, Maria Victoria; Simó, Amelia American Statistical Association (2019-05-13)
      In this paper we propose several methodologies for handling missing or incomplete data in Archetype analysis (AA) and Archetypoid analysis (ADA). AA seeks to find archetypes, which are convex combinations of data points, ...
    • openAccess   Archetypal contour shapes 

      Alcacer Sales, Aleix; Epifanio, Irene; Ibáñez Gual, Maria Victoria; Simó, Amelia Università di Cassino e del Lazio Meridionale. Centro Editoriale di Ateneo (2019)
      Shapes are represented by contour functions from planar object outlines. Functional archetypal analysis is proposed to describe closed contour shapes. Each contour function is approximated by a convex combination of ...
    • openAccess   Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes 

      Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria Springer (2023)
      Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ...
    • openAccess   Archetypal shapes based on landmarks and extension to handle missing data 

      Epifanio, Irene; Ibáñez Gual, Maria Victoria; Simó, Amelia Springer Verlag (2017-10)
      Archetype and archetypoid analysis are extended to shapes. The objective is to find representative shapes. Archetypal shapes are pure (extreme) shapes. We focus on the case where the shape of an object is represented by a ...
    • openAccess   Generalized partially linear models on Riemannian manifolds 

      Simó, Amelia; Ibáñez Gual, Maria Victoria; Epifanio, Irene; Gimeno, Vicent Royal Statistical Society (2020-05-03)
      We introduce generalized partially linear models with covariates on Riemannian manifolds. These models, like ordinary generalized linear models, are a generalization of partially linear models on Riemannian manifolds that ...