Roughness investigation by mathematical morphology
Laboratoire d'Etudes et de Recherches sur les Matériaux, LERMAT, URA CNRS n° 1317, ISMRA-Université, 6 Bd du Maréchal Juin , 14050 CAEN Cedex, France
Laboratoire d'Etudes et de Recherches sur les Matériaux, LERMAT, URA CNRS n° 1317, ISMRA-Université, 6 Bd du Maréchal Juin , 14050 CAEN Cedex, France
Laboratoire d'Etudes et de Recherches sur les Matériaux, LERMAT, URA CNRS n° 1317, ISMRA-Université, 6 Bd du Maréchal Juin , 14050 CAEN Cedex, France
Abstract
Several methods can be used to characterize the roughness of non planar surfaces. These surfaces, in the case of non overlapping can be represented by R2*R functions. In this paper we present the methods derived from mathematical morphology for functions which can be used to analyse these surfaces. R2*R functions can be obtained from true relief or perspective image. These two cases are discussed in terms of anamorphosis. The basic parameters are briefly introduced. Different morphological functions (granulometry, roughness, connectivity number), are presented and discussed after tests on real or simulated images.