Characterization of linear and morphological operators

Summary form only given, as follows. In image processing, the transformations of an image to another one are obtained through operators. Among the most important operators are the linear operators and the morphological ones (dilations and erosions). We recall the definition of these operators and present an algebraic characterization of them for the case of spatial invariance. The importance of this characterization is that it shows the differences and similarities between the linear and morphological operators. It helps to understand how these operators are built (http://hermes.dpi.inpe.br:1905/rep/dpi.inpe.br/banon/1999/06.21.09.31)