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Similarity between Hypergraphs Based on Mathematical Morphology

Isabelle Bloch 1 Alain Bretto 2 Aurélie Leborgne 3
2 Equipe CODAG - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
3 imagine - Extraction de Caractéristiques et Identification
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
Abstract : In the framework of structural representations for applications in image understanding, we establish links between similarities, hypergraph theory and mathematical morphology. We propose new similarity measures and pseudo-metrics on lattices of hypergraphs based on morphological operators. New forms of these operators on hypergraphs are introduced as well. Some examples based on various dilations and openings on hypergraphs illustrate the relevance of our approach.
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Contributor : Aurélie Leborgne <>
Submitted on : Monday, March 7, 2016 - 10:22:30 AM
Last modification on : Thursday, December 19, 2019 - 1:21:50 AM

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Isabelle Bloch, Alain Bretto, Aurélie Leborgne. Similarity between Hypergraphs Based on Mathematical Morphology. 11th International Symposium, ISMM 2013, May 2013, Uppsala, Sweden. ⟨10.1007/978-3-642-38294-9_1⟩. ⟨hal-01283941⟩



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