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

Abstract

This article presents a method with which the shapes of plane figures may be characterized exhaustively by using descriptive mathematical entities obtained from these figures. They may be either simply or multiply connected. Thus the particular figures may be reconstructed from these mathematical entities which will be known as the ”characteristic curves” of the corresponding figures. Once what is understood by the ”distance” between any two pixels has been specified, each of these characteristic curves is generated as a function of the elements belonging to the two sets of distances between particular pixels.

The characteristic curves of the figures considered are independent of the positions of these figures with regard to any reference system. In other words, they are invariable even when the figures are subjected to displacements or rotations.