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Micro-viscous morphological operators Fernand Meyer and Jess Angulo

Summary: Micro-viscous morphological operators
Fernand Meyer and Jesús Angulo
Centre de Morphologie Mathématique, Ecole des Mines de Paris, 35, rue Saint-Honoré,
77305 Fontainebleau, France
Abstract In most operators of mathematical morphology source and destina-
tion are the same: from pixels to pixels. In this paper we present
adjunctions where source and destination are not the same. In ad-
dition to the pixels of a grid, we also consider the centers of edges
linking neighboring pixels. Interesting lters may be constructed
using such operators, in particular bi-levelings, where the introduc-
tion of some degree of viscosity permits to obtain higher levels of
simplications as with ordinary levelings.
Keywords: adjunction, hexagonal grid, micro-viscous operators, bi-levelings,
morphological ltering.
1. Introduction
Connected lters, and in particular levelings have nice and interesting fea-
tures: they simplify images without blurring the contours. For this reason
they are often used as a simplication step before segmentation. Generally,
one constructs a strongly simplied version g of the image f to segment,


Source: Angulo,Jesús - Centre de Morphologie Mathématique, Ecole des Mines de Paris


Collections: Computer Technologies and Information Sciences