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Mostrando ítems 1-10 de 31
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 (co)homology, representative (co)cycles of (co)homology generators and the cup product on cohomology of ...
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 height function), we construct a graph G h (K) which is an extension of the Reeb graph R h (|K|). ...
Capítulo de Libro
Well-balanced Finite Volume schemes: some stability and convergence results
(Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady ...
Capítulo de Libro
Homological computation using spanning trees
(2009)
We introduce here a new F2 homology computation algorithm based on a generalization of the spanning tree technique on a finite 3-dimensional cell complex K embedded in ℝ3. We demonstrate that the complexity of this algorithm ...
Artículo
Irregular graph pyramids and representative cocycles of cohomology generators
(2009)
Structural pattern recognition describes and classifies data based on the relationships of features and parts. Topological invariants, like the Euler number, characterize the structure of objects of any dimension. Cohomology ...
Capítulo de Libro
Getting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complex
(2009)
Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4–dimensional polytopal cell complex K(V), having the same integer homological information (that related ...
Capítulo de Libro
Segmentation in 2D and 3D image using Tissue-Like P System
(2009)
Membrane Computing is a biologically inspired computational model. Its devices are called P systems and they perform computations by applying a finite set of rules in a synchronous, maximally parallel way. In this paper, ...
Capítulo de Libro
DANTE The Combination between an Ant Colony Optimization Algorithm and a Depth Search Method
(2008)
The isin-DANTE method is an hybrid meta-heuristic. In combines the evolutionary ant colony optimization (ACO) algorithms with a limited depth search. This depth search is based in the pheromone trails used by the ACO, which ...
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 the work done in [1,2,3]. For doing this, the homology of the object is encoded in an ...
Capítulo de Libro
Rearrangement invariant optimal domain for monotone kernel operators
(Springer, 2009)
For a kernel operator T with values in a Banach function space X, we give monotonicity conditions on the kernel which allow us to describe the rearrangement invariant optimal domain for T (still with values in X).We ...