Introduction to some basic random morphological models

Dominique Jeulin (1)

1 CMM - Centre de Morphologie Mathématique

The Boolean RF are a generalization of the Boolean RACS. Their construction based on the combination of a sequence of primary RF by the operation supremum or infimum, and their main properties (among which the supremum or infimum infinite divisibility) are given in the case of scalar RF built on a Poisson point process.

Mots clés: Semi-continuous random functions; Boolean random function; Poisson point process; Mathematical Morphology

Domaines: Probabilités [math.PR]; Mathématiques appliquées; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Matériaux

Dominique Jeulin. Introduction to some basic random morphological models. Stochastic Geometry, Spatial Statistics and Random Fields, 2014, 978-3-319-10063-0. ⟨10.1007/978-3-319-10064-7_5⟩. ⟨hal-00770234⟩