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1 Equipe Image - Laboratoire GREYC - UMR6072 GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen

Abstract : Mathematical Morphology MM offers a wide range of operators to address various image processing problems. These processing can be defined in terms of algebraic set or as partial differential equations PDEs. In this paper, a novel approach is formalized as a framework of partial difference equations PdEs on weighted graphs. We introduce and analyze morphological operators in local and nonlocal configurations. Our framework recovers classical local algebraic and PDEs-based morphological methods in image processing context; generalizes them for nonlocal configurations and extends them to the treatment of any arbitrary discrete data that can be represented by a graph. It leads to considering a new field of application of MM processing: the case of high-dimensional multivariate unorganized data.





Autor: Vinh Thong Ta - Abderrahim Elmoataz - Olivier Lézoray -

Fuente: https://hal.archives-ouvertes.fr/



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