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Capítulo de Libro
A Graph-with-Loop Structure for a Topological Representation of 3D Objects
(2007)
Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the height function), we construct a graph G h (K) which is an extension of the Reeb graph R h (|K|). ...
Capítulo de Libro
A homological–based description of subdivided nD objects
(2011)
We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but ...
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
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
Advanced homology computation of digital volumes via cell complexes
(2008)
Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral cell complex is designed. By homological information we understand not only Betti numbers, representative ...
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 ...
Capítulo de Libro
Human gait identification using persistent homology
(2012)
This paper shows an image/video application using topological invariants for human gait recognition. Using a background subtraction approach, a stack of silhouettes is extracted from a subsequence and glued through their ...
Capítulo de Libro
Connectivity forests for homological analysis of digital volumes
(2009)
In this paper, we provide a graph-based representation of the homology (information related to the different “holes” the object has) of a binary digital volume. We analyze the digital volume AT-model representation [8] ...