Abstract : Mathematical morphology (MM) operators can be defined in terms of algebraic sets or as partial differential equations. In this paper, we introduce a novel formulation of MM over weighted graphs of arbitrary topology. The proposed framework recovers local algebraic and PDEs-based formulations of MM and introduces nonlocal configurations. This enables to PDEs-based methods to process any discrete data that can be described by a graph such as high dimensional data defined on irregular domains.
https://hal.archives-ouvertes.fr/hal-00403942
Contributeur : Image Greyc
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Soumis le : mardi 21 janvier 2014 - 12:52:40
Dernière modification le : jeudi 7 février 2019 - 17:47:43
Document(s) archivé(s) le : mardi 22 avril 2014 - 11:26:19
