Listar por autor "Medrano Garfia, Belén"
Mostrando ítems 1-19 de 19
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Artículo
3D well-composed polyhedral complexes
(2015)A binary three-dimensional (3D) image II is well-composed if the boundary surface of its continuous analog is a 2D manifold. ...
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Capítulo de Libro
A Graph-with-Loop Structure for a Topological Representation of 3D Objects
(2007)Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the ...
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Artículo
A tool for integer homology computation: lambda-AT- model
(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 ...
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Capítulo de Libro
Algebraic topological analysis of time-sequence of digital images
(2005)This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, ...
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Artículo
An algorithm to compute minimal Sullivan algebras
(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 ...
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Artículo
Chain Homotopies for Object Topological Representations
(2011)This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable ...
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Artículo
Cubical cohomology ring of 3D photographs
(2011)Cohomology groups and the cohomology ring of three-dimensional (3D) objects are topological invariants that characterize ...
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Ponencia
Designing a Topological Algorithm for 3D Activity Recognition
(Springer, 2016)Voxel carving is a non-invasive and low-cost technique that is used for the reconstruction of a 3D volume from images ...
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Artículo
Efficiently Storing Well-Composed Polyhedral Complexes Computed Over 3D Binary Images
(Springer, 2017)A 3D binary image I can be naturally represented by a combinatorial-algebraic structure called cubical complex and denoted ...
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Ponencia
Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images
(Springer, 2016)We build upon the work developed in [4] in which we presented a method to “locally repair” the cubical complex Q(I) ...
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Capítulo de Libro
Extending the notion of AT-Model for integer homology computation
(2007)When the ground ring is a field, the notion of algebraic topological model (AT-model) is a useful tool for computing ...
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Capítulo de Libro
Integral operators for computing homology generators at any dimension
(2008)Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from ...
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Artículo
Making Sullivan Algebras Minimal Through Chain Contractions
(Springer, 2021)In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, ...
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Tesis Doctoral
Modelo álgebro-topológico de representación de imágenes digitales en nD
(2007)Para introducir este trabajo es necesario hablar de TOPOLOG´IA. La topología es la rama de las matemáticas que estudia las ...
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Capítulo de Libro
Reusing integer homology information of binary digital images
(2006)In this paper, algorithms for computing integer (co)homology of a simplicial complex of any dimension are designed, extending ...
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Capítulo de Libro
Simplicial perturbation techniques and effective homology
(2006)In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary ...
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Ponencia
Spatiotemporal Barcodes for Image Sequence Analysis
(Springer, 2015)Taking as input a time-varying sequence of two-dimensional (2D) binary images, we develop an algorithm for computing a ...
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Artículo
Topological tracking of connected components in image sequences
(Elsevier, 2018)Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. ...
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Capítulo de Libro
Well-Composed Cell Complexes
(2011)Well-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, ...