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Mostrando ítems 1-10 de 25
Artículo
Homological spanning forest framework for 2D image analysis
(2012)
A 2D topology-based digital image processing framework is presented here. This framework consists of the computation of a flexible geometric graph-based structure, starting from a raster representation of a digital image ...
Artículo
Homological optimality in Discrete Morse Theory through chain homotopies
(2012)
Morse theory is a fundamental tool for analyzing the geometry and topology of smooth manifolds. This tool was translated by Forman to discrete structures such as cell complexes, by using discrete Morse functions or ...
Artículo
Computation of cubical homology, cohomology, and (co)homological operations via chain contraction
(2015)
We introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, using the technique based on a chain contraction from the original chain complex to a reduced one that ...
Artículo
Membrane parallelism for discrete Morse theory applied to digital images
(2015)
In this paper, we propose a bio-inspired membrane computational framework for constructing discrete Morse complexes for binary digital images. Our approach is based on the discrete Morse theory and we work with cubical ...
Artículo
A tool for integer homology computation: lambda-AT- model
(2011)
In this paper, we formalize the notion of lambda-AT-model (where λ is a non-null integer) for a given chain complex, which allows the computation of homological information in the integer domain avoiding using the Smith ...
Artículo
On higher dimensional cocyclic Hadamard matrices
(2015)
Provided that a cohomological model for G is known, we describe a method for constructing a basis for n-cocycles over G, from which the whole set of n-dimensional n-cocyclic matrices over G may be straightforwardly calculated. ...
Artículo
Searching high order invariants in computer imagery
(2012)
In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer imagery. More precisely, the formulas of the A ∞–coalgebra maps Δ 2 and Δ 3 using the notion of ...
Artículo
Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features
(2015)
This paper introduces a new kind of skeleton for binary volumes called the cellular skeleton. This skeleton is not a subset of voxels of a volume nor a subcomplex of a cubical complex: it is a chain complex together with ...
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
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 ...