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Listar por autor "Bac, Alexandra"
Mostrando ítems 1-9 de 9
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Artículo
Allowing cycles in discrete Morse theory
González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (Elsevier, 2017)Discrete gradient vector fields are combinatorial structures that can be used for accelerating the homology computation ...
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Artículo
Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features
González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (2015)This paper introduces a new kind of skeleton for binary volumes called the cellular skeleton. This skeleton is not a subset ...
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Tesis Doctoral
Computational Homology Applied to Discrete Objects
González Lorenzo, Aldo (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 ...
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Ponencia
Computing Homological Information Based on Directed Graphs within Discrete Objects
González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (IEEE Computer Society, 2014)n-dimensional discrete objects can be interpreted as cubical complexes which are suitable for the study of their homology ...
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Ponencia
Extraction d’information homologique des objets discrets s’appuyant sur des graphes orientés
González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication, 2014)Tout objet discret n-dimensionnel peut être transformé en complexe cubique, dont on peut étudier les groupes d’homologie ...
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Ponencia
Fast, Simple and Separable Computation of Betti Numbers on Three-dimensional Cubical Complexes
González Lorenzo, Aldo; Juda, Mateusz; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (Springer, 2016)Betti numbers are topological invariants that count the number of holes of each dimension in a space. Cubical complexes ...
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Artículo
Searching combinatorial optimality using graph-based homology information
Real Jurado, Pedro; Molina Abril, Helena; González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc (2015)This paper analyses the topological information of a digital object O under a combined combinatorial-algebraic point of ...
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Ponencia
Topological Comparisons of Fluvial Reservoir Rock Volumes Using Betti Numbers: Application to CO2 Storage Uncertainty Analysis
Dahrabou, Asmae; Viseur, Sophie; González Lorenzo, Aldo; Rohmer, Jérémy; Bac, Alexandra; Real Jurado, Pedro; Mari, Jean-Luc; Audigane, Pascal (Springer, 2016)To prevent the release of large quantities of CO2 into the atmosphere, carbon capture and storage (CCS) represents a ...
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Ponencia
Two Measures for the Homology Groups of Binary Volumes
González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (Springer, 2016)Given a binary object (2D or 3D), its Betti numbers characterize the number of holes in each dimension. They are obtained ...