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Artículo
Connectivity calculus of fractal polyhedrons
(2015)
The paper analyzes the connectivity information (more precisely, numbers of tunnels and their homological (co)cycle classification) of fractal polyhedra. Homology chain contractions and its combinatorial counterparts, ...
Artículo
Una curiosa combinación de Topología, Álgebra y Combinatoria: los cuadrados de Steenrod
(Real Sociedad Matemática Española, 1998)
Artículo
Designing a new software tool for digital imagery based on P systems
(2012)
In this paper we present a new software tool for dealing with the problem of segmentation in Digital Imagery. The implementation is inspired in the design of a tissue-like P system which solves the problem in constant time ...
Artículo
Cartan's contructions and the twisted Eilenberg-Zilber theorem
(De Gruyter, 2010)
Artículo
Timely-automatic procedure for estimating the endocardial limits of the left ventricle assessed echocardiographically in clinical practice
(MDPI, 2020-01-13)
In this paper, we propose an analytical rapid method to estimate the endocardial borders of the left ventricular walls on echocardiographic images for prospective clinical integration. The procedure was created as a ...
Artículo
Geometric Objects and Cohomology Operations
(Cornell University, 2012)
Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithms for computing the homology groups of ...
Artículo
On the computability of the Steenrod squares
(Springer, 1996)
In questo lavoro offriamo in modo esplicito le formule di una serie de morfismi che controUano la mancanza di commutativit~ del prodotto cup a livello di cocateni, supponendo di lavorare con insiemi sempliciali; queste ...
Artículo
Detection of the mandibular canal in orthopantomography using a Gabor-filtered anisotropic generalized Hough transform
(Elsevier, 2016)
In this paper, we explore the possibility of applying the anisotropic generalized Hough transform (AGHT) enhanced with a Gabor based time-frequency filtering (GTF) for the determination of the mandibular canal in digital ...
Artículo
On the cohomology of 3D digital images
(2005)
We propose a method for computing the cohomology ring of three-dimensional (3D) digital binary-valued pictures. We obtain the cohomology ring of a 3D digital binary-valued picture I , via a simplicial complex K(I)K(I) ...
Artículo
P systems and computational algebraic topology
(2010)
Membrane Computing is a paradigm inspired from biological cellular communication. Membrane computing devices are called P systems. In this paper we calculate some algebraic-topological information of 2D and 3D images in a ...