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Mostrando ítems 1-6 de 6
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
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
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
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
Searching combinatorial optimality using graph-based homology information
(2015)
This paper analyses the topological information of a digital object O under a combined combinatorial-algebraic point of view. Working with a topology-preserving cellularization K(O) of the object, algebraic and combinatorial ...
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, ...