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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
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 ...
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
Decomposing cavities in digital volumes into products of cycles
(2009)
The homology of binary 3–dimensional digital images (digital volumes) provides concise algebraic description of their topology in terms of connected components, tunnels and cavities. Homology generators corresponding to ...
Capítulo de Libro
Homological tree-based strategies for image analysis
(2009)
Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ over a finite cell complex K (with coefficients in the finite field F2={0,1}) which represents the ...
Capítulo de Libro
Periodos asociados a los isotopismos de un cuadrado latino
(Instituto Superior de Engenharia da Universidade do Algarve, 2009)
En Criptografía, la eficacia de un generador de secuencias pseudo-aleatorias viene determinada por el periodo de crecimiento en la secuencia generada. En el caso concreto de generadores basados en elementos líderes y ...
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 ...