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Mostrando ítems 11-20 de 21
Artículo
Algorithm to Compute a Minimal Length Basis of Representative Cocycles of Cohomology Generators
(Universidad de Sevilla, 2010)
An algorithm to compute a minimal length basis of representative cocycles of cohomology generators for 2D images is proposed. We based the computations on combinatorial pyramids foreseeing its future extension to 3D objects. ...
Artículo
Strong separating (k, k)−surfaces on Z3
(Universidad de Sevilla, 2010)
For each adjacency pair (k, k) != (6, 6), k, k ∈ {6, 18, 26}, we introduce a new family Skk of surfaces in the discrete space Z3 that strictly contains several families of surfaces previously defined, and other objects ...
Artículo
Persistent homology and partial matching of shapes
(Universidad de Sevilla, 2010)
The ability to perform not only global matching but also partial matching is in-vestigated in computer vision and computer graphics in order to evaluate the performance of shape descriptors. In my talk I will consider the ...
Artículo
Towards optimality in discrete Morse Theory through chain homotopies
(Universidad de Sevilla, 2010)
Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced from its critical elements. The main objective of this paper is to define optimal discrete gradient ...
Artículo
Perfect discrete Morse functions on 2-complexes
(Universidad de Sevilla, 2010)
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete Morse functions such that the number of critical i-simplices coincides with the i-th Betti number ...
Artículo
Obtaining cell complexes associated to four dimensional digital objects
(Universidad de Sevilla, 2010)
In this paper, we determine a cell complex representation of a 80–adjacent doxelbased 4-dimensional object. The homological information of this polyhedral cell complex can be employed to specify topological features and ...
Artículo
The efficiency of a homology algorithm based on discrete morse theory and coreductions (extended abstract)
(Universidad de Sevilla, 2010)
Two implementations of a homology algorithm based on the Forman’s discrete Morse theory combined with the coreduction method are presented. Their efficiency is compared with other implementations of homology algorithms.
Artículo
Mereotopological Patterns for Ontology Evolution and Debugging
(Universidad de Sevilla, 2010)
In this paper the foundational principles and the application of a mereotopological theory, the Region Connection Calculus, for controlling the revision of formal ontologies by means of visual arrangements is presented. ...
Artículo
A fast algorithm to compute cohomology group generators of orientable 2-manifolds
(Universidad de Sevilla, 2010)
In this paper a fast algorithm to compute cohomology group generators of cellular decomposition of any orientable closed 2-manifold is presented. The presented algorithm is a dual version of algorithm to compute homology ...
Artículo
Gabor frames and topology-based strategies for astronomical images
(Universidad de Sevilla, 2010)
The topic of this paper is the description of procedures to remove the fringes from complicated astronomical data sets, where the interference pattern is not regular, combining topological and Gabor-based analysis. A first ...