Un método para la caracterización exhaustiva de formas de figuras planas, tanto simple como múltiplemente conexas

This article presents a method with which the shapes of plane figures may becharacterized exhaustively by using descriptive mathematical entities obtained fromthese figures. They may be either simply or multiply connected. Thus the particularfigures may be reconstructed from these mathematical entit...

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Main Authors: Skliar, Osvaldo, Medina, Víctor, Poveda, José S.
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/228
http://hdl.handle.net/10669/12871
Summary: This article presents a method with which the shapes of plane figures may becharacterized exhaustively by using descriptive mathematical entities obtained fromthese figures. They may be either simply or multiply connected. Thus the particularfigures may be reconstructed from these mathematical entities which will be known asthe ”characteristic curves” of the corresponding figures. Once what is understood by the ”distance” between any two pixels has been specified, each of these characteristiccurves is generated as a function of the elements belonging to the two sets of distancesbetween particular pixels.The characteristic curves of the figures considered are independent of the positionsof these figures with regard to any reference system. In other words, they are invariableeven when the figures are subjected to displacements or rotations.Keywords: shape characterization, contours of plane figures, triangulation method, centerof mass, pattern recognition