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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 the work done in [1,2,3]. For doing this, the homology of the object is encoded in an ...
Capítulo de Libro
Cell AT-models for digital volumes
(2009)
In [4], given a binary 26-adjacency voxel-based digital volume V, the homological information (that related to n-dimensional holes: connected components, ”tunnels” and cavities) is extracted from a linear map (called ...
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, each of them defined as 2D arrays of pixels. Our answer is based on an algebraic-topological coding, ...
Capítulo de Libro
A Mathematica Notebook for Computing the Homology of Iterated Products of Groups
(2006)
Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian groups G i (both finite and infinite). We describe a Mathematica 4.0 notebook for computing the ...
Capítulo de Libro
Advanced homology computation of digital volumes via cell complexes
(2008)
Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral cell complex is designed. By homological information we understand not only Betti numbers, representative ...
Capítulo de Libro
Labeling Subway Lines
(2001)
Graphical features on map, charts, diagrams and graph drawings usually must be annotated with text labels in order to convey their meaning. In this paper we focus on a problem that arises when labeling schematized maps, ...
Capítulo de Libro
Using membrane computing for obtaining homology groups of binary 2D digital images
(2009)
Membrane Computing is a new paradigm inspired from cellular communication. Until now, P systems have been used in research areas like modeling chemical process, several ecosystems, etc. In this paper, we apply P systems ...
Capítulo de Libro
A genetic algorithm for cocyclic hadamard matrices
(2006)
A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, the algorithm may be easily extended to cover any group. Some executions and examples are also included, ...
Capítulo de Libro
Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches
(2006)
We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over ...
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 simplicial perturbation” process such as the inclusion or elimination of a maximal simplex or ...