idUS - Perfil del autor: Medrano Garfia, Belén

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Nombre	Medrano Garfia, Belén
Departamento	Matemática Aplicada I
Área de conocimiento	Matemática Aplicada
Categoría profesional	Profesora Contratada Doctora
Correo electrónico	Solicitar

Nº publicaciones

19
Nº visitas

2090
Nº descargas

3060

Tipología

Orden

Publicaciones
Artículo Making Sullivan Algebras Minimal Through Chain Contractions Garvin, Antonio; González Díaz, Rocío; Marco, Miguel Ángel; Medrano Garfia, Belén (Springer, 2021) In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, ...
Artículo An algorithm to compute minimal Sullivan algebras Garvín, Antonio; González Díaz, Rocío; Medrano Garfia, Belén (Cornell University, 2019) In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a ...
Artículo Topological tracking of connected components in image sequences González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (Elsevier, 2018) Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. ...
Artículo Efficiently Storing Well-Composed Polyhedral Complexes Computed Over 3D Binary Images González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (Springer, 2017) A 3D binary image I can be naturally represented by a combinatorial-algebraic structure called cubical complex and denoted ...
Ponencia Designing a Topological Algorithm for 3D Activity Recognition Jiménez Rodríguez, María José; Medrano Garfia, Belén; Monaghan, David S.; O'Connor, Noel E. (Springer, 2016) Voxel carving is a non-invasive and low-cost technique that is used for the reconstruction of a 3D volume from images ...
Ponencia Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (Springer, 2016) We build upon the work developed in [4] in which we presented a method to “locally repair” the cubical complex Q(I) ...
Ponencia Spatiotemporal Barcodes for Image Sequence Analysis González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (Springer, 2015) Taking as input a time-varying sequence of two-dimensional (2D) binary images, we develop an algorithm for computing a ...
Artículo 3D well-composed polyhedral complexes González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (2015) A binary three-dimensional (3D) image II is well-composed if the boundary surface of its continuous analog is a 2D manifold. ...
Artículo A tool for integer homology computation: lambda-AT- model 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 ...
Artículo Chain Homotopies for Object Topological Representations Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro; González Díaz, Rocío (2011) This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable ...
Capítulo de Libro Well-Composed Cell Complexes González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (2011) Well-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, ...
Artículo Cubical cohomology ring of 3D photographs González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén (2011) Cohomology groups and the cohomology ring of three-dimensional (3D) objects are topological invariants that characterize ...
Capítulo de Libro Integral operators for computing homology generators at any dimension González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro; Molina Abril, Helena (2008) Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from ...
Capítulo de Libro Extending the notion of AT-Model for integer homology computation González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro (2007) When the ground ring is a field, the notion of algebraic topological model (AT-model) is a useful tool for computing ...
Capítulo de Libro A Graph-with-Loop Structure for a Topological Representation of 3D Objects 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 ...
Tesis Doctoral Modelo álgebro-topológico de representación de imágenes digitales en nD Medrano Garfia, Belén; González Díaz, Rocío; Real Jurado, Pedro (2007) Para introducir este trabajo es necesario hablar de TOPOLOG´IA. La topología es la rama de las matemáticas que estudia las ...
Capítulo de Libro Reusing integer homology information of binary digital images González Díaz, Rocío; Medrano Garfia, Belén; Sánchez Peláez, Javier; Real Jurado, Pedro (2006) In this paper, algorithms for computing integer (co)homology of a simplicial complex of any dimension are designed, extending ...
Capítulo de Libro Simplicial perturbation techniques and effective homology González Díaz, Rocío; Medrano Garfia, Belén; Sánchez Peláez, Javier; Real Jurado, Pedro (2006) In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary ...
Capítulo de Libro Algebraic topological analysis of time-sequence of digital images 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, ...