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Published in:
2013 | OriginalPaper | Chapter
Similarity between Hypergraphs Based on Mathematical Morphology
Authors : Isabelle Bloch, Alain Bretto, Aurélie Leborgne
Published in: Mathematical Morphology and Its Applications to Signal and Image Processing
Publisher: Springer Berlin Heidelberg
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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.