Author profile: Real Jurado, Pedro
Institutional data
| Name | Real Jurado, Pedro |
| Department | Matemática Aplicada I |
| Knowledge area | Matemática Aplicada |
| Professional category | Catedrático de Universidad |
| Request | |
 |
|
Statistics
-
No. publications
137
-
No. visits
11958
-
No. downloads
17384
| Publications |
|---|
Chapter of Book
 Versatilidad y eficiencia de los autómatas celulares para la simulación y análisis de sistemas complejos en IngenieríaVersatilidad y eficiencia de los autómatas celulares para la simulación y análisis de sistemas complejos en Ingeniería
(3ciencias, 2022-02-01)
Los autómatas celulares se componen de un conjunto de celdas (generalmente simples) interactuantes que evolucionan en pasos ... |
Presentation
On the Topological Disparity Characterization of Square-Pixel Binary Image Data by a Labeled Bipartite GraphOn the Topological Disparity Characterization of Square-Pixel Binary Image Data by a Labeled Bipartite Graph
(Springer, 2022-01-01)
Given an nD digital image I based on cubical n-xel, to fully characterize the degree of internal topological dissimilarity ... |
Presentation
A Topologically Consistent Color Digital Image Representation by a Single TreeA Topologically Consistent Color Digital Image Representation by a Single Tree
(Springer, 2021-01-01)
A novel, flexible (non-unique) and topologically consistent representation called CRIT (Contour-Region incidence Tree) for ... |
Presentation
Building Hierarchical Tree Representations Using Homological-Based ToolsBuilding Hierarchical Tree Representations Using Homological-Based Tools
(Springer, 2021-01-01)
A new algorithm for computing the α-tree hierarchical repre sentation of a grey-scale digital image is presented here. The ... |
Article
Timely-automatic procedure for estimating the endocardial limits of the left ventricle assessed echocardiographically in clinical practiceTimely-automatic procedure for estimating the endocardial limits of the left ventricle assessed echocardiographically in clinical practice
(MDPI, 2020-01-13)
In this paper, we propose an analytical rapid method to estimate the endocardial borders of the left ventricular walls on ... |
Article
Parallel connected-Component-Labeling based on homotopy treesParallel connected-Component-Labeling based on homotopy trees
(Elsevier, 2020-01-01)
Taking advantage of the topological and isotopic properties of binary digital images, we present here anew algorithm for ... |
Article
CDrift: An Algorithm to Correct Linear Drift From A Single High-Resolution STEM ImageCDrift: An Algorithm to Correct Linear Drift From A Single High-Resolution STEM Image
(Cambridge University Press, 2020-01-01)
In this work, a new method to determine and correct the linear drift for any crystalline orientation in a single-column-resolved ... |
Article
Generating (co)homological information using boundary scaleGenerating (co)homological information using boundary scale
(Elsevier, 2020-01-01)
In this paper we develop a new computational technique called boundary scale-space theory. This tech- nique is based on ... |
Presentation
Enhanced Parallel Generation of Tree Structures for the Recognition of 3D ImagesEnhanced Parallel Generation of Tree Structures for the Recognition of 3D Images
(Springer, 2019-01-01)
Segmentations of a digital object based on a connectivity criterion at n-xel or sub-n-xel level are useful tools in image ... |
Presentation
Generating Second Order (Co)homological Information within AT-Model ContextGenerating Second Order (Co)homological Information within AT-Model Context
(Springer, 2019-01-01)
In this paper we design a new family of relations between (co)homology classes, working with coefficients in a field and ... |
Presentation
Topological Homogeneity for Electron Microscopy ImagesTopological Homogeneity for Electron Microscopy Images
(Springer, 2019-01-01)
In this paper, the concept of homogeneity is defined, from a topological perspective, in order to analyze how uniform is ... |
Presentation
Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-TimeComputing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-Time
(Springer, 2019-01-01)
Connected component labeling (CCL) of binary images is one of the fundamental operations in real time applications. The ... |
Presentation
Homological Region Adjacency Tree for a 3D Binary Digital Image via HSF ModelHomological Region Adjacency Tree for a 3D Binary Digital Image via HSF Model
(Springer, 2019-01-01)
Given a 3D binary digital image I, we define and compute an edge-weighted tree, called Homological Region Tree (or ... |
Article
Fractal Topological Analysis for 2D Binary Digital ImagesFractal Topological Analysis for 2D Binary Digital Images
(Springer, 2019-01-01)
Fractal dimension is a powerful tool employed as a measurement of geometric aspects. In this work we propose a method of ... |
Presentation
Refined Deep Learning for Digital Objects Recognition via Betti InvariantsRefined Deep Learning for Digital Objects Recognition via Betti Invariants
(Springer, 2019-01-01)
In this paper, we make use of the topological invariants of 2D images for an accelerated training and an improved recognition ... |
PhD Thesis
Parallelization strategies for extraction of (co)homological information of digital objects.Parallelization strategies for extraction of (co)homological information of digital objects.
(2018-01-18)
Un objeto digital es un conjunto de n-xels en de una imagen digital n-dimensional. El estudio de la conectividad de estos ... |
Presentation
Numerical stability of spline-based Gabor-like systemsNumerical stability of spline-based Gabor-like systems
(IEEE Computer Society, 2018-01-01)
The paper provides a theorem for the characteriza- tion of numerical stability of spline-type systems. These systems are ... |
Presentation
Space-Variant Gabor Decomposition for Filtering 3D Medical ImagesSpace-Variant Gabor Decomposition for Filtering 3D Medical Images
(Springer, 2017-01-01)
This is an experimental paper in which we introduce the possibility to analyze and to synthesize 3D medical images by using ... |
Presentation
Toward Parallel Computation of Dense Homotopy Skeletons for nD Digital ObjectsToward Parallel Computation of Dense Homotopy Skeletons for nD Digital Objects
(Springer, 2017-01-01)
An appropriate generalization of the classical notion of abstract cell complex, called primal-dual abstract cell complex ... |
Article
Allowing cycles in discrete Morse theoryAllowing cycles in discrete Morse theory
(Elsevier, 2017-01-01)
Discrete gradient vector fields are combinatorial structures that can be used for accelerating the homology computation ... |
Presentation
Labeling Color 2D Digital Images in Theoretical Near Logarithmic TimeLabeling Color 2D Digital Images in Theoretical Near Logarithmic Time
(Springer, 2017-01-01)
A design of a parallel algorithm for labeling color flat zones (precisely, 4-connected components) of a gray-level or color ... |
PhD Thesis
Computational Homology Applied to Discrete ObjectsComputational Homology Applied to Discrete Objects
(2016-11-24)
Homology theory formalizes the concept of hole in a space. For a given subset of the Euclidean space, we define a sequence ... |
Presentation
Parallel Image Processing Using a Pure Topological FrameworkParallel Image Processing Using a Pure Topological Framework
(Universidad de Extremadura, 2016-01-01)
Image processing is a fundamental operation in many real time applications, where lots of parallelism can be extracted. ... |
Article
Detection of the mandibular canal in orthopantomography using a Gabor-filtered anisotropic generalized Hough transformDetection of the mandibular canal in orthopantomography using a Gabor-filtered anisotropic generalized Hough transform
(Elsevier, 2016-01-01)
In this paper, we explore the possibility of applying the anisotropic generalized Hough transform (AGHT) enhanced with a ... |
Presentation
On Homotopy Continuation for Speech RestorationOn Homotopy Continuation for Speech Restoration
(Springer, 2016-01-01)
In this paper, a homotopy-based method is employed for the recovery of speech recordings from missing or corrupted samples ... |
Presentation
Two Measures for the Homology Groups of Binary VolumesTwo Measures for the Homology Groups of Binary Volumes
(Springer, 2016-01-01)
Given a binary object (2D or 3D), its Betti numbers characterize the number of holes in each dimension. They are obtained ... |
Presentation
Topological Comparisons of Fluvial Reservoir Rock Volumes Using Betti Numbers: Application to CO2 Storage Uncertainty AnalysisTopological Comparisons of Fluvial Reservoir Rock Volumes Using Betti Numbers: Application to CO2 Storage Uncertainty Analysis
(Springer, 2016-01-01)
To prevent the release of large quantities of CO2 into the atmosphere, carbon capture and storage (CCS) represents a ... |
Presentation
Fast, Simple and Separable Computation of Betti Numbers on Three-dimensional Cubical ComplexesFast, Simple and Separable Computation of Betti Numbers on Three-dimensional Cubical Complexes
(Springer, 2016-01-01)
Betti numbers are topological invariants that count the number of holes of each dimension in a space. Cubical complexes ... |
Article
 A parallel Homological Spanning Forest framework for 2D topological image analysisA parallel Homological Spanning Forest framework for 2D topological image analysis
(Elsevier, 2016-01-01)
In [14], a topologically consistent framework to support parallel topological analysis and recognition for2 D digital ... |
Article
Effective homology of k-D digital objects (partially) calculated in parallelEffective homology of k-D digital objects (partially) calculated in parallel
(Elsevier, 2016-01-01)
In [18], a membrane parallel theoretical framework for computing (co)homology information of fore- ground or background ... |
Article
Computation of cubical homology, cohomology, and (co)homological operations via chain contractionComputation of cubical homology, cohomology, and (co)homological operations via chain contraction
(2015-01-01)
We introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, ... |
Article
Membrane parallelism for discrete Morse theory applied to digital imagesMembrane parallelism for discrete Morse theory applied to digital images
(2015-01-01)
In this paper, we propose a bio-inspired membrane computational framework for constructing discrete Morse complexes for ... |
Article
Cellular Skeletons: A New Approach to Topological Skeletons with Geometric FeaturesCellular Skeletons: A New Approach to Topological Skeletons with Geometric Features
(2015-01-01)
This paper introduces a new kind of skeleton for binary volumes called the cellular skeleton. This skeleton is not a subset ... |
Article
On higher dimensional cocyclic Hadamard matricesOn higher dimensional cocyclic Hadamard matrices
(2015-01-01)
Provided that a cohomological model for G is known, we describe a method for constructing a basis for n-cocycles over G, ... |
Article
Searching combinatorial optimality using graph-based homology informationSearching combinatorial optimality using graph-based homology information
(2015-01-01)
This paper analyses the topological information of a digital object O under a combined combinatorial-algebraic point of ... |
Article
Connectivity calculus of fractal polyhedronsConnectivity calculus of fractal polyhedrons
(2015-01-01)
The paper analyzes the connectivity information (more precisely, numbers of tunnels and their homological (co)cycle ... |
Presentation
A Parallel Implementation for Computing the Region-Adjacency-Tree of a Segmentation of a 2D Digital ImageA Parallel Implementation for Computing the Region-Adjacency-Tree of a Segmentation of a 2D Digital Image
(Springer, 2015-01-01)
A design and implementation of a parallel algorithm for computing the Region-Adjacency Tree of a given segmentation of a ... |
Presentation
Double Hough Transform for Estimating the Position of the Mandibular Canal in Dental RadiographsDouble Hough Transform for Estimating the Position of the Mandibular Canal in Dental Radiographs
(Springer, 2015-01-01)
In this work, a multiple generalised anisotropic Hough transform (AGHT) is used to detect the mandibular canal in dental ... |
Presentation
Extraction d’information homologique des objets discrets s’appuyant sur des graphes orientésExtraction d’information homologique des objets discrets s’appuyant sur des graphes orientés
(CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication, 2014-01-01)
Tout objet discret n-dimensionnel peut être transformé en complexe cubique, dont on peut étudier les groupes d’homologie ... |
Presentation
Computing Homological Information Based on Directed Graphs within Discrete ObjectsComputing Homological Information Based on Directed Graphs within Discrete Objects
(IEEE Computer Society, 2014-01-01)
n-dimensional discrete objects can be interpreted as cubical complexes which are suitable for the study of their homology ... |
Article
Computer Analysis of Images and PatternsComputer Analysis of Images and Patterns
(Springer, 2013-01-01)
|
Article
A continuous analog for 4-dimensional objectsA continuous analog for 4-dimensional objects
(2013-01-01)
In this paper, we follow up on the studies developed by Kovalevsky (Comput Vis Graph Image Process 46:141–161, 1989) and ... |
PhD Thesis
 Homological Spanning Forests for Discrete ObjectsHomological Spanning Forests for Discrete Objects
(2012-06-03)
Computing and representing topological information form an important part in many applications such as image representation ... |
Article
Homological spanning forest framework for 2D image analysisHomological spanning forest framework for 2D image analysis
(2012-01-01)
A 2D topology-based digital image processing framework is presented here. This framework consists of the computation of a ... |
Article
Searching high order invariants in computer imagerySearching high order invariants in computer imagery
(2012-01-01)
In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer ... |
Article
Geometric Objects and Cohomology OperationsGeometric Objects and Cohomology Operations
(Cornell University, 2012-01-01)
Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology ... |
Article
Designing a new software tool for digital imagery based on P systemsDesigning a new software tool for digital imagery based on P systems
(2012-01-01)
In this paper we present a new software tool for dealing with the problem of segmentation in Digital Imagery. The ... |
| PhD Thesis |
Article
Using membrane computing for effective homologyUsing membrane computing for effective homology
(2012-01-01)
Effective Homology is an algebraic-topological method based on the computational concept of chain homotopy equivalence on ... |
Article
Homological models for semidirect products of finitely generated Abelian groupsHomological models for semidirect products of finitely generated Abelian groups
(2012-01-01)
Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit ... |
Article
Homological optimality in Discrete Morse Theory through chain homotopiesHomological optimality in Discrete Morse Theory through chain homotopies
(2012-01-01)
Morse theory is a fundamental tool for analyzing the geometry and topology of smooth manifolds. This tool was translated ... |
Chapter of Book
Triangle mesh compression and homological spanning forestsTriangle mesh compression and homological spanning forests
(2012-01-01)
Triangle three-dimensional meshes have been widely used to represent 3D objects in several applications. These meshes are ... |
Presentation
Color Segmentation Of 2D Images With ThresholdingColor Segmentation Of 2D Images With Thresholding
(Springer, 2012-01-01)
Membrane Computing is a biologically inspired computational model. Its devices are called P systems and they perform ... |
Chapter of Book
An efficient algorithm to compute subsets of points in ℤ nAn efficient algorithm to compute subsets of points in ℤ n
(2012-01-01)
In this paper we show a more efficient algorithm than that in [8] to compute subsets of points non-congruent by isometries. ... |
Article
Computational Topology in Image ContextComputational Topology in Image Context
(Elsevier, 2012-01-01)
|
Chapter of Book
A homological–based description of subdivided nD objectsA homological–based description of subdivided nD objects
(2011-01-01)
We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. ... |
Article
A tool for integer homology computation: lambda-AT- modelA tool for integer homology computation: lambda-AT- model
(2011-01-01)
In this paper, we formalize the notion of lambda-AT-model (where λ is a non-null integer) for a given chain complex, which ... |
Article
Chain Homotopies for Object Topological RepresentationsChain Homotopies for Object Topological Representations
(2011-01-01)
This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable ... |
Chapter of Book
Associating cell complexes to four dimensional digital objectsAssociating cell complexes to four dimensional digital objects
(2011-01-01)
The goal of this paper is to construct an algebraic-topological representation of a 80–adjacent doxel-based 4–dimensional ... |
Article
Region-based segmentation of 2D and 3D images with tissue-like P systemsRegion-based segmentation of 2D and 3D images with tissue-like P systems
(2011-01-01)
Membrane Computing is a biologically inspired computational model. Its devices are called P systems and they perform ... |
Article
Algebraic tools in geometrical modeling with topological controlAlgebraic tools in geometrical modeling with topological control
(Universidad de Sevilla, 2011-01-01)
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, ... |
Chapter of Book
A bio-inspired software for segmenting digital images.A bio-inspired software for segmenting digital images.
(2010-01-01)
Segmentation in computer vision refers to the process of partitioning a digital image into multiple segments (sets of ... |
Article
Proceedings of the Workshop on Computational Topology in Image Context 2010Proceedings of the Workshop on Computational Topology in Image Context 2010
(2010-01-01)
It has been an honor and a pleasure to organize the 3rd International Workshop on Computational Topology in Image Context, ... |
Article
Computing Homology Groups in Binary 2D Imagery by Tissue-like P SystemsComputing Homology Groups in Binary 2D Imagery by Tissue-like P Systems
(Romanian Academy, Section for Information Science and Technology, 2010-01-01)
We present a new solution for the Homology Groups of Binary 2D Image (HGB2I) Problem by using Membrane Computing techniques. ... |
Presentation
A Cellular Way to Obtain Homology Groups in Binary 2D ImagesA Cellular Way to Obtain Homology Groups in Binary 2D Images
(Fénix Editora, 2010-01-01)
In this paper we present a P systems-based solution for the Homology Groups of Binary 2D Image (HGB2I) Problem, a classical ... |
| Article |
Article
Image Segmentation Inspired by Cellular Models using hardware programmingImage Segmentation Inspired by Cellular Models using hardware programming
(Universidad de Sevilla, 2010-01-01)
Several features of image segmentation make it suitable for bio–inspired techniques. It can be parallelized, locally solved ... |
Article
P systems and computational algebraic topologyP systems and computational algebraic topology
(2010-01-01)
Membrane Computing is a paradigm inspired from biological cellular communication. Membrane computing devices are called P ... |
Article
Towards optimality in discrete Morse Theory through chain homotopiesTowards optimality in discrete Morse Theory through chain homotopies
(Universidad de Sevilla, 2010-01-01)
Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced ... |
Article
Obtaining cell complexes associated to four dimensional digital objectsObtaining cell complexes associated to four dimensional digital objects
(Universidad de Sevilla, 2010-01-01)
In this paper, we determine a cell complex representation of a 80–adjacent doxelbased 4-dimensional object. The homological ... |
Article
Gabor frames and topology-based strategies for astronomical imagesGabor frames and topology-based strategies for astronomical images
(Universidad de Sevilla, 2010-01-01)
The topic of this paper is the description of procedures to remove the fringes from complicated astronomical data sets, ... |
Presentation
Estudio de una ecuación del calor semilineal en dominios no-cilíndricosEstudio de una ecuación del calor semilineal en dominios no-cilíndricos
(2009-09-01)
En esta comunicación presentaremos resultados de existencia y unicidad de soluciones que verifican una igualdad de energía ... |
Presentation
Obtaining Homology Groups in Binary 2D Images Using P SystemsObtaining Homology Groups in Binary 2D Images Using P Systems
(IEEE Computer Society, 2009-01-01)
Membrane Computing is a new paradigms inspired from cellular communication. We use in this paper the computational devices ... |
Article
Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-ConstructionAlgebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-Construction
(Taylor and Francis, 2009-01-01)
For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction ... |
Article
The homological reduction method for computing cocyclic Hadamard matricesThe homological reduction method for computing cocyclic Hadamard matrices
(2009-01-01)
An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a ... |
Chapter of Book
Homological computation using spanning treesHomological computation using spanning trees
(2009-01-01)
We introduce here a new F2 homology computation algorithm based on a generalization of the spanning tree technique on a ... |
Chapter of Book
Cell AT-models for digital volumesCell AT-models for digital volumes
(2009-01-01)
In [4], given a binary 26-adjacency voxel-based digital volume V, the homological information (that related to n-dimensional ... |
Chapter of Book
Decomposing cavities in digital volumes into products of cyclesDecomposing cavities in digital volumes into products of cycles
(2009-01-01)
The homology of binary 3–dimensional digital images (digital volumes) provides concise algebraic description of their ... |
Chapter of Book
Getting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complexGetting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complex
(2009-01-01)
Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented ... |
Chapter of Book
Segmentation in 2D and 3D image using Tissue-Like P SystemSegmentation in 2D and 3D image using Tissue-Like P System
(2009-01-01)
Membrane Computing is a biologically inspired computational model. Its devices are called P systems and they perform ... |
Chapter of Book
Homological tree-based strategies for image analysisHomological tree-based strategies for image analysis
(2009-01-01)
Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ ... |
Chapter of Book
Connectivity forests for homological analysis of digital volumesConnectivity forests for homological analysis of digital volumes
(2009-01-01)
In this paper, we provide a graph-based representation of the homology (information related to the different “holes” the ... |
Chapter of Book
Using membrane computing for obtaining homology groups of binary 2D digital imagesUsing membrane computing for obtaining homology groups of binary 2D digital images
(2009-01-01)
Membrane Computing is a new paradigm inspired from cellular communication. Until now, P systems have been used in research ... |
Chapter of Book
Advanced homology computation of digital volumes via cell complexesAdvanced homology computation of digital volumes via cell complexes
(2008-01-01)
Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral ... |
Article
A System of Equations for Describing Cocyclic Hadamard MatricesA System of Equations for Describing Cocyclic Hadamard Matrices
(Wiley, 2008-01-01)
Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear ... |
Chapter of Book
Integral operators for computing homology generators at any dimensionIntegral operators for computing homology generators at any dimension
(2008-01-01)
Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from ... |
Article
Rectifications of A-AlgebrasRectifications of A-Algebras
(2007-01-01)
In this article, in the setting of connected DG-modules, we prove that, for any A -algebra M mi i≥1 , there is a chain ... |
Chapter of Book
Extending the notion of AT-Model for integer homology computationExtending the notion of AT-Model for integer homology computation
(2007-01-01)
When the ground ring is a field, the notion of algebraic topological model (AT-model) is a useful tool for computing ... |
Chapter of Book
A Graph-with-Loop Structure for a Topological Representation of 3D ObjectsA Graph-with-Loop Structure for a Topological Representation of 3D Objects
(2007-01-01)
Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the ... |
Presentation
Imágenes digitales y complejos simploidalesImágenes digitales y complejos simploidales
(Universidad de Cádiz, Servicio de Publicaciones, 2007-01-01)
|
Chapter of Book
On the Computation of Ainfinity-MapsOn the Computation of Ainfinity-Maps
(2007-01-01)
Starting from a chain contraction (a special chain homotopy equivalence) connecting a differential graded algebra A with ... |
PhD Thesis
Modelo álgebro-topológico de representación de imágenes digitales en nDModelo álgebro-topológico de representación de imágenes digitales en nD
(2007-01-01)
Para introducir este trabajo es necesario hablar de TOPOLOG´IA. La topología es la rama de las matemáticas que estudia las ... |
Article
Algebra Structures on the Twisted Eilenberg–Zilber TheoremAlgebra Structures on the Twisted Eilenberg–Zilber Theorem
(Taylor and Francis, 2007-01-01)
Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” ... |
PhD Thesis
Cálculo simbólico y técnicas de control de A∞-estructurasCálculo simbólico y técnicas de control de A∞-estructuras
(2006-07-01)
Mostramos aquí diversos aspectos importantes relacionados con el estudio de las A∞-estructuras, las cuales juegan un papel ... |
Chapter of Book
A Mathematica Notebook for Computing the Homology of Iterated Products of GroupsA Mathematica Notebook for Computing the Homology of Iterated Products of Groups
(2006-01-01)
Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian ... |
Article
Computing Adem Cohomology OperationsComputing Adem Cohomology Operations
(Cornell University, 2006-01-01)
We deal with the problem of obtaining explicit simplicial formu- lae defining the classical Adem cohomology operations at ... |
Chapter of Book
Reducing Computational Costs in the Basic Perturbation LemmaReducing Computational Costs in the Basic Perturbation Lemma
(2006-01-01)
Homological Perturbation Theory [11, 13] is a well-known general method for computing homology, but its main algorithm, ... |
Chapter of Book
Reusing integer homology information of binary digital imagesReusing integer homology information of binary digital images
(2006-01-01)
In this paper, algorithms for computing integer (co)homology of a simplicial complex of any dimension are designed, extending ... |
Chapter of Book
Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searchesCalculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches
(2006-01-01)
We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = ... |
Chapter of Book
Simplicial perturbation techniques and effective homologySimplicial perturbation techniques and effective homology
(2006-01-01)
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary ... |
Chapter of Book
A genetic algorithm for cocyclic hadamard matricesA genetic algorithm for cocyclic hadamard matrices
(2006-01-01)
A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, ... |
Chapter of Book
Comparison maps for relatively free resolutionsComparison maps for relatively free resolutions
(2006-01-01)
Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively ... |
Article
On the cohomology of 3D digital imagesOn the cohomology of 3D digital images
(2005-01-01)
We propose a method for computing the cohomology ring of three-dimensional (3D) digital binary-valued pictures. We obtain ... |
Article
Simplification techniques for maps in simplicial topologySimplification techniques for maps in simplicial topology
(2005-01-01)
This paper offers an algorithmic solution to the problem of obtaining “economical” formulae for some maps in Simplicial ... |
Chapter of Book
Algebraic topological analysis of time-sequence of digital imagesAlgebraic topological analysis of time-sequence of digital images
(2005-01-01)
This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, ... |
| Article |
Article
HPT and cocyclic operationsHPT and cocyclic operations
(International Press, 2005-01-01)
We reinterpret the classical theory of cocyclic operations in terms of permutations and homotopy equivalences of ... |
Article
Cohomología 3D y visualizaciónCohomología 3D y visualización
(Real Sociedad Matemática Española, 2004-01-01)
Proponemos un método para visualizar conceptos altamente abstractos en objetos tridimensionales, representados éstos como ... |
Presentation
A[símbolo de infinito]–coalgebra structures on the Zp-homology of Eilenberg-Mac Lane spacesA[símbolo de infinito]–coalgebra structures on the Zp-homology of Eilenberg-Mac Lane spaces
(Universidad de Cantabria, 2004-01-01)
We study here the A(1)-coalgebra structure of the homology H (K( , n);Zp) of an Eilenberg-Mac Lane space K( , n), where ... |
| PhD Thesis |
Presentation
Computing the cohomology ring on simplicial complexesComputing the cohomology ring on simplicial complexes
(Universidad de Sevilla, Departamento de Matemática Aplicada I, 2003-01-01)
|
| PhD Thesis |
Chapter of Book
Towards digital cohomologyTowards digital cohomology
(2003-01-01)
We propose a method for computing the Z 2–cohomology ring of a simplicial complex uniquely associated with a three–dimensional ... |
Article
Computation of cohomology operations of finite simplicial complexesComputation of cohomology operations of finite simplicial complexes
(2003-01-01)
We propose a method for calculating cohomology operations on finite simplicial complexes. Of course, there exist well–known ... |
Presentation
Matrices cocíclicas de Hadamard sobre productos semidirectosMatrices cocíclicas de Hadamard sobre productos semidirectos
(Alberto Márquez, 2002-01-01)
|
Article
Algorithms in Algebraic Topology and Homological Algebra: Problem of ComplexityAlgorithms in Algebraic Topology and Homological Algebra: Problem of Complexity
(Springer, 2002-01-01)
This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ... |
Presentation
An example in combinatorial cohomologyAn example in combinatorial cohomology
(Universidad de La Rioja, 2001-01-01)
Steenrod cohomology operations are algebraic tools for distinguishing non–homeomorphic topological spaces. In this paper, ... |
Presentation
El Proyecto CHATAEl Proyecto CHATA
(Universidad de Sevilla, 2001-01-01)
En este art´ıculo, se pretende dar una visi´on general y lo m´as divulgativa posible sobre los prop´ositos y objetivos del ... |
| PhD Thesis |
Presentation
“Coalgebra” Structures on 1-Homological Models for Commutative Differential Graded Algebras“Coalgebra” Structures on 1-Homological Models for Commutative Differential Graded Algebras
(Springer, 2001-01-01)
In [3] “small” 1-homological model H of a commutative differential graded algebra is described. Homological Perturbation ... |
Chapter of Book
An algorithm for computing cocyclic matrices developed over some semidirect productsAn algorithm for computing cocyclic matrices developed over some semidirect products
(2001-01-01)
An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups ... |
PhD Thesis
Operaciones cohomológicas: un enfoque combinatorialOperaciones cohomológicas: un enfoque combinatorial
(2000-03-09)
En esta memoria se establece un enfoque puramente combinatorio de las operaciones cohomológicas de Steenrod y Adem a nivel ... |
Presentation
Computing “Small” 1–Homological Models for Commutative Differential Graded AlgebrasComputing “Small” 1–Homological Models for Commutative Differential Graded Algebras
(Springer, 2000-01-01)
We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the ... |
Article
On p-minimal homological models of twisted tensor products of elementary complexes localised over a primeOn p-minimal homological models of twisted tensor products of elementary complexes localised over a prime
(American Mathematical Society, 1999-01-01)
In this paper, working over Z(p) and using algebra perturbation results from [18], p-minimal homological models of twisted ... |
Presentation
analyzing the transference of the coalgebra structure on the homology CDGAsanalyzing the transference of the coalgebra structure on the homology CDGAs
(International Association for Mathematics and Computers in Simulation, 1999-01-01)
|
Presentation
An algorithm for computing the first homology groups of CDGAs with linear differentialAn algorithm for computing the first homology groups of CDGAs with linear differential
(Research Institute for Symbolic Computation, 1999-01-01)
We design here a primary platform for computing the basic homological information of Commutative Differential Graded ... |
Presentation
Computing Cocycles on Simplicial ComplexesComputing Cocycles on Simplicial Complexes
(Springer, 1999-01-01)
In this note, working in the context of simplicial sets [17], we give a detailed study of the complexity for computing ... |
Presentation
Steenrod reduced powers and computabilitySteenrod reduced powers and computability
(International Association for Mathematics and Computers in Simulation, 1999-01-01)
|
Article
A combinatorial method for computing Steenrod squaresA combinatorial method for computing Steenrod squares
(Elsevier, 1999-01-01)
We present here a combinatorial method for computing Steenrod squares of a simplicial set X. This method is essentially ... |
PhD Thesis
Estructuras multiplicativas y homología de fibradosEstructuras multiplicativas y homología de fibrados
(1999-01-01)
Como es bien conocido, los principales mecanismos algebraicos para obtener información homológica de los espacios fibrados ... |
PhD Thesis
Modelos homológicos pequeños de DGA-Álgebras conmutativasModelos homológicos pequeños de DGA-Álgebras conmutativas
(1998-12-14)
En esta memoria proponemos un método para calcular la n -homología de una DGA-álgebra conmutativa, basado esencialmente ... |
Article
Una curiosa combinación de Topología, Álgebra y Combinatoria: los cuadrados de SteenrodUna curiosa combinación de Topología, Álgebra y Combinatoria: los cuadrados de Steenrod
(Real Sociedad Matemática Española, 1998-01-01)
|
Presentation
On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spacesOn the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces
(Universidade do Minho, 1997-01-01)
Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian ... |
Presentation
Homological perturbation theory and computability of Hochschild and cyclic homologies of CDGAsHomological perturbation theory and computability of Hochschild and cyclic homologies of CDGAs
(Diffiety Institute of the Russian Academy of Natural Sciences, 1997-01-01)
We establish an algorithm computing the homology of commutative differential graded algebras (briefly, CDGAs). The main ... |
Article
On the computability of the Steenrod squaresOn the computability of the Steenrod squares
(Springer, 1996-01-01)
In questo lavoro offriamo in modo esplicito le formule di una serie de morfismi che controUano la mancanza di commutativit~ ... |
Article
An algorithm computing homotopy groupsAn algorithm computing homotopy groups
(Elsevier, 1996-01-01)
An algorithm computing homotopy groups of a reduced simplicial set with effective homology is described, using the Whitehead tower method. |
PhD Thesis
Algoritmos de cálculo de homología efectiva de los espacios clasificantesAlgoritmos de cálculo de homología efectiva de los espacios clasificantes
(1993-01-01)
El propósito esencial de esta memoria es el de describir varios algoritmos de cálculo de homología efectiva de los espacios ... |