• openAccess   Gauss-Bonnet formulae and rotational integrals in constant curvature spaces 

      Barahona, S.; Gual-Arnau, Ximo Elsevier (2017-02)
      We obtain generalizations of the main result in [10], and then provide geometric interpretations of linear combinations of the mean curvature integrals that appear in the Gauss–Bonnet formula for hypersurfaces in space ...
    • closedAccess   Supervised classification of geometrical objects by integrating currents and functional data analysis 

      Barahona, S.; Centella, P.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Sanchis Vidal, Amelia Springer Verlag (2019)
      This paper focuses on the application of supervised classification techniques to a set of geometrical objects (bodies) characterized by currents, in particular, discriminant analysis and some nonparametric methods. A current ...
    • openAccess   Unsupervised classification of children’s bodies using currents 

      Barahona, S.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia Springer Verlag (2018-06)
      Object classification according to their shape and size is of key importance in many scientific fields. This work focuses on the case where the size and shape of an object is characterized by a current. A current is a ...