Now showing items 1-20 of 83

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      A bio-inspired software for segmenting digital images.  [Chapter of Book]

      Díaz Pernil, Daniel; Molina Abril, Helena; Real Jurado, Pedro; Gutiérrez Naranjo, Miguel Ángel (2010)
      Segmentation in computer vision refers to the process of partitioning a digital image into multiple segments (sets of pixels). It has several features which make it suitable for techniques inspired by nature. It can be ...
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      A Cellular Way to Obtain Homology Groups in Binary 2D Images  [Presentation]

      Díaz Pernil, Daniel; Gutiérrez Naranjo, Miguel Ángel; Real Jurado, Pedro; Sánchez Canales, Vanesa (Fénix Editora, 2010)
      In this paper we present a P systems-based solution for the Homology Groups of Binary 2D Image (HGB2I) Problem, a classical problem in Homology Theory. To this aim, we present a family of P systems which solves all the ...
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      A continuous analog for 4-dimensional objects  [Article]

      Pacheco Martínez, Ana María; Mari, Jean-Luc; Real Jurado, Pedro (2013)
      In this paper, we follow up on the studies developed by Kovalevsky (Comput Vis Graph Image Process 46:141–161, 1989) and Kenmochi et al. (Comput Vis Image Underst 71:281–293, 1998), which defined a continuous analog for a ...
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      A genetic algorithm for cocyclic hadamard matrices  [Chapter of Book]

      Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)
      A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, the algorithm may be easily extended to cover any group. Some executions and examples are also included, ...
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      A Graph-with-Loop Structure for a Topological Representation of 3D Objects  [Chapter of Book]

      González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro (2007)
      Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the height function), we construct a graph G h (K) which is an extension of the Reeb graph R h (|K|). ...
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      A homological–based description of subdivided nD objects  [Chapter of Book]

      Molina Abril, Helena; Real Jurado, Pedro (2011)
      We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but ...
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      A Mathematica Notebook for Computing the Homology of Iterated Products of Groups  [Chapter of Book]

      Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)
      Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian groups G i (both finite and infinite). We describe a Mathematica 4.0 notebook for computing the ...
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      A parallel Homological Spanning Forest framework for 2D topological image analysis  [Article]

      Díaz del Río, Fernando; Real Jurado, Pedro; Onchis, Darian M. (Elsevier, 2016)
      In [14], a topologically consistent framework to support parallel topological analysis and recognition for2 D digital objects was introduced. Based on this theoretical work, we focus on the problem of findingefficient ...
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      A Parallel Implementation for Computing the Region-Adjacency-Tree of a Segmentation of a 2D Digital Image  [Presentation]

      Díaz del Río, Fernando; Real Jurado, Pedro; Onchis, Darian M. (Springer, 2015)
      A design and implementation of a parallel algorithm for computing the Region-Adjacency Tree of a given segmentation of a 2D digital image is given. The technique is based on a suitable distributed use of the algorithm ...
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      A tool for integer homology computation: lambda-AT- model  [Article]

      González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro (2011)
      In this paper, we formalize the notion of lambda-AT-model (where λ is a non-null integer) for a given chain complex, which allows the computation of homological information in the integer domain avoiding using the Smith ...
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      A[símbolo de infinito]-estructuras y perturbación homológica  [PhD Thesis]

      Jiménez Rodríguez, María José (2003)
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      Advanced homology computation of digital volumes via cell complexes  [Chapter of Book]

      Molina Abril, Helena; Real Jurado, Pedro (2008)
      Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral cell complex is designed. By homological information we understand not only Betti numbers, representative ...
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      Algebraic tools in geometrical modeling with topological control  [Article]

      Pacheco Martínez, Ana María; Real Jurado, Pedro (Universidad de Sevilla, 2011)
      In this paper we show a method to create a look-up table with all the possible bricks which can made up an object. Moreover, we generate a procedure to recreate any object starting from this table. More concretely, the ...
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      Algebraic topological analysis of time-sequence of digital images  [Chapter of Book]

      González Díaz, Rocío; Medrano Garfia, Belén; Real Jurado, Pedro; Sáchez Peláez, Javier (2005)
      This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, each of them defined as 2D arrays of pixels. Our answer is based on an algebraic-topological coding, ...
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      Algoritmos de cálculo de homología efectiva de los espacios clasificantes  [PhD Thesis]

      Real Jurado, Pedro (1993)
      El propósito esencial de esta memoria es el de describir varios algoritmos de cálculo de homología efectiva de los espacios clasificantes y de los espacios de Eilenberg-MacLane. Intentaremos en todo lo que resta de ...
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      An algorithm for computing cocyclic matrices developed over some semidirect products  [Chapter of Book]

      Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro; Álvarez Solano, Víctor (2001)
      An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups is constructed, in light ofthe theory over cocyclic matrices developed by Horadam and de Launey in ...
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      An efficient algorithm to compute subsets of points in ℤ n  [Chapter of Book]

      Pacheco Martínez, Ana María; Real Jurado, Pedro (2012)
      In this paper we show a more efficient algorithm than that in [8] to compute subsets of points non-congruent by isometries. This algorithm can be used to reconstruct the object from the digital image. Both algorithms are ...
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      Associating cell complexes to four dimensional digital objects  [Chapter of Book]

      Pacheco Martínez, Ana María; Real Jurado, Pedro (2011)
      The goal of this paper is to construct an algebraic-topological representation of a 80–adjacent doxel-based 4–dimensional digital object. Such that representation consists on associating a cell complex homologically ...
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      Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches  [Chapter of Book]

      Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)
      We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over ...
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      Cálculo simbólico y técnicas de control de A∞-estructuras  [PhD Thesis]

      Berciano Alcaraz, Ainhoa (2006-07-01)
      Mostramos aquí diversos aspectos importantes relacionados con el estudio de las A∞-estructuras, las cuales juegan un papel importante en la Topología Algebraica tal y como se aborda hoy en día. En particular centramos ...