Some morphological operators on simplicial complex spaces

Authors:
Fábio Dias;Jean Cousty;Laurent Najman
Affiliations:
Université Paris-Est, Laboratoire d'Informatique Gaspard-Monge;Université Paris-Est, Laboratoire d'Informatique Gaspard-Monge;Université Paris-Est, Laboratoire d'Informatique Gaspard-Monge
Venue:
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Year:
2011

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Abstract

In this work, we propose a framework that allows to build morphological operators for processing and filtering objects defined on (abstract) simplicial complex spaces. We illustrate with applications to mesh and image processing, for which, on the provided examples, the proposed approach outperforms the classical one.