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A new method for the characterization of clusters

 

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Détails bibliographiques
Auteurs: Skliar, Osvaldo, Oviedo, Guillermo, Monge, Ricardo E.
Format: artículo original
Statut:Versión publicada
Date de publication:2007
Description:This new method for characterizing clusters is based on the simulation of a diffusionlike process. A resolution-parameter—R—is introduced such that when assigned successive values from an increasing sequence, it is possible to detect the following:(a) a unique cluster which can be visualized as an object with no internal structure; (b) a set of n first-order subclusters—given they exist—which are constituents of the cluster mentioned in (a); (c) n sets of second-order subclusters—each of which are constituents of one of the first-order subclusters mentioned in (b)—and so on, successively. Convexity is not required either for the cluster mentioned in (a) or for the subclusters of different orders. Although in this paper the method presented is applied to bidimensional objects, it may be generalized for the n-dimensional case.
Pays:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Langue:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/39305
Accès en ligne:https://revistas.ucr.ac.cr/index.php/matematica/article/view/39305
Mots-clés:characterization of clusters
diffusion process
resolution-parameter
Caracterización de “clusters”
proceso de difusión
parámetro de resolución