Recent Submissions

  • Article
    Icon

    Numerical simulations of a dispersive model approximating free-surface Euler equations 

    Escalante Sánchez, Cipriano; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Penel, Yohan; Sainte-Marie, Jacques (Springer, 2021-10-18)
    In some configurations, dispersion effects must be taken into account to improve the simulation of complex fluid flows. A ...
  • PhD Thesis
    IconIcon

    Homological Spanning Forests for Discrete Objects 

    Molina Abril, Helena (2012-06-03)
    Computing and representing topological information form an important part in many applications such as image representation ...
  • Presentation
    Icon

    On the vulnerability of some families of graphs 

    Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Iniciativa Digital Politècnica, 2010)
    The toughness of a noncomplete graph G is defined as τ (G) = min{|S|/ω(G − S)}, where the minimum is taken over all ...
  • Article
    Icon

    Optimizing the Simplicial-Map Neural Network Architecture 

    Paluzo Hidalgo, Eduardo; González Díaz, Rocío; Gutiérrez Naranjo, Miguel Ángel; Heras, Jónathan (MDPI, 2021)
    Simplicial-map neural networks are a recent neural network architecture induced by simplicial maps defined between ...
  • Presentation
    Icon

    Image = Structure + Few Colors 

    Batavia, Darshan; González Díaz, Rocío; Kropatsch, Walter G. (Springer, 2021)
    Topology plays an important role in computer vision by capturing the structure of the objects. Nevertheless, its potential ...
  • Article
    Icon

    Characterizing slope regions 

    González Díaz, Rocío; Batavia, Darshan; Moreno Casablanca, Rocío; Kropatsch, Walter G. (Springer, 2021)
    This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. ...
  • Article
    Icon

    Topology-based image segmentation using LBP pyramids 

    Cerman, Martin; Janusch, Ines; González Díaz, Rocío; Kropatsch, Walter G. (Springer, 2016)
    In this paper, we present a new image segmentation algorithmwhich is based on local binary patterns (LBPs) and the ...
  • Article
    Icon

    Topological signature for periodic motion recognition 

    Lamar León, Javier; García Reyes, Edel; González Díaz, Rocío (Cornell University, 2019)
    In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such ...
  • Presentation
    Icon

    Persistent homology-based gait recognition robust to upper body variations 

    Lamar León, Javier; Alonso Baryolo, Raúl; García Reyes, Edel; González Díaz, Rocío (IEEE Computer Society, 2016)
    Gait recognition is nowadays an important biometric technique for video surveillance tasks, due to the advantage of using ...
  • Article
    Icon

    Persistent-homology-based gait recognition 

    Lamar León, Javier; Alonso Baryolo, Raúl; García Reyes, Edel; González Díaz, Rocío (Cornell University, 2017)
    Gait recognition is an important biometric technique for video surveillance tasks, due to the advantage of using it at ...
  • Presentation
    Icon

    Persistent Homology Computation Using Combinatorial Map Simplification 

    Damiand, Guillaume; González Díaz, Rocío (Springer, 2019)
    We propose an algorithm for persistence homology computation of orientable 2-dimensional (2D) manifolds with or without ...
  • Article
    Icon

    Persistence Partial Matchings Induced by Morphisms between Persistence Modules 

    González Díaz, Rocío; Soriano Trigueros, Manuel (Cornell University, 2021)
    The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is ...
  • Presentation
    Icon

    Parallel Homology Computation of Meshes 

    Damiand, Guillaume; González Díaz, Rocío (Springer, 2016)
    In this paper, we propose a method to compute, in parallel, the homology groups of closed meshes (i.e., orientable 2D ...
  • Presentation
    Icon

    One More Step Towards Well-Composedness of Cell Complexes over nD Pictures 

    Boutry, Nicolas; González Díaz, Rocío; Jiménez Rodríguez, María José (Springer, 2019)
    An nD pure regular cell complex K is weakly well-composed (wWC) if, for each vertex v of K, the set of n-cells incident ...
  • Presentation
    Icon

    On the Space Between Critical Points 

    Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío (Springer, 2019)
    The vertices of the neighborhood graph of a digital picture P can be interpolated to form a 2-manifold M with critical ...
  • Presentation
    Icon

    Incremental-Decremental Technique for Delineating Tunnels and Pockets in 3D Digital Images 

    González Díaz, Rocío; González Molinillo, A.; Jiménez Rodríguez, María José; Postigo Gutiérrez, J.A. (WikiCFP, 2009)
    In this paper, we combine two complementary techniques for computing homol- ogy: Incremental Algorithm for computing ...
  • Article
    Icon

    HPT and cocyclic operations 

    González Díaz, Rocío; Real Jurado, Pedro (International Press, 2005)
    We reinterpret the classical theory of cocyclic operations in terms of permutations and homotopy equivalences of ...
  • Presentation
    Icon

    Euler Well-Composedness 

    Boutry, Nicolas; González Díaz, Rocío; Jiménez Rodríguez, María José; Paluzo Hidalgo, Eduardo (Springer, 2020)
    In this paper, we de ne a new avour of well-composedness, called Euler well-composedness, in the general setting of ...
  • Presentation
    Icon

    Counting slope regions in the surface graphs 

    Batavia, Darshan; Kropatsch, Walter G.; González Díaz, Rocío; Moreno Casablanca, Rocío (TUGraz OPEN Library, 2019)
    The discrete version of a continuous surface sampled at optimum sampling rate can be well expressed in form of a ...
  • Article
    Icon

    Computational Topology in Image Context 

    González Díaz, Rocío; Real Jurado, Pedro (Elsevier, 2012)

View more