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Mostrando ítems 11-20 de 23
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
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, ...
Ponencia
Homological Region Adjacency Tree for a 3D Binary Digital Image via HSF Model
(Springer, 2019)
Given a 3D binary digital image I, we define and compute an edge-weighted tree, called Homological Region Tree (or Hom-Tree, for short). It coincides, as unweighted graph, with the classical Region Adjacency Tree of ...
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 ...
Ponencia
Multi-stage Biomarker Models for Progression Estimation in Alzheimer’s Disease
(Springer, 2015)
The estimation of disease progression in Alzheimer’s disease (AD) based on a vector of quantitative biomarkers is of high interest to clinicians, patients, and biomedical researchers alike. In this work, quantile ...
Ponencia
Parallel Image Processing Using a Pure Topological Framework
(Universidad de Extremadura, 2016)
Image processing is a fundamental operation in many real time applications, where lots of parallelism can be extracted. Segmenting the image into different connected components is the most known operations, but there ...
Ponencia
Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-Time
(Springer, 2019)
Connected component labeling (CCL) of binary images is one of the fundamental operations in real time applications. The adjacency tree (AdjT) of the connected components offers a region-based representation where each ...
Ponencia
Topo-Geometric Filtration Scheme for Geometric Active Contours and Level Sets: Application to Cerebrovascular Segmentation
(Springer, 2014)
One of the main problems of the existing methods for the segmentation of cerebral vasculature is the appearance in the segmentation result of wrong topological artefacts such as the kissing vessels. In this paper, a new ...
Ponencia
Representing the Surface of Objects by Combinatorial Pyramids
(Czech Pattern Recognition Society, 2010)
This paper introduces a new method to rep- resent the surface of objects using two dimensional com- binatorial maps. The classical de nition of two dimen- sional combinatorial maps is extended here by adding a \back ...
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 ...