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Artículo
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Computing The Cubical Cohomology Ring (Extended Abstract)
(Universidad de Sevilla, 2010)
The goal of this work is to establish a new algorithm for computing the cohomology ring of cubical complexes. The cubical structure enables an explicit recurrence formula for the cup product. We derive this formula and, ...
Artículo
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Human gait recognition using topological information
(Universidad de Sevilla, 2010)
This paper shows an image/video application using topological invariants in human gait recognition. The 3D volume of a gait cycle is built stacking silhouettes extracted using a background substraction approach. Ideally, ...
Artículo
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Image Segmentation Inspired by Cellular Models using hardware programming
(Universidad de Sevilla, 2010)
Several features of image segmentation make it suitable for bio–inspired techniques. It can be parallelized, locally solved and the input data can be easily encoded using representations inspired by nature. In this paper, ...
Artículo
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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
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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
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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
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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 ...