Morphological Semigroups and Scale-Spaces on Ultrametric Spaces

DOI10.1007/978-3-319-57240-6_3zbMath1479.94011OpenAlexW2606860264MaRDI QIDQ5270530

Santiago Velasco-Forero, Jesús Angulo

Publication date: 23 June 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://hal-mines-paristech.archives-ouvertes.fr/hal-01536368/file/UltrametricSemigroups_ISMM17_final.pdf

zbMATH Keywords

ultrametric spaceidempotent operator(max, min)-convolutionultrametric semigroup

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (3)

Morphological counterpart of Ornstein-Uhlenbeck semigroups and PDEs ⋮ Some open questions on morphological operators and representations in the deep learning era. A personal vision ⋮ Eigenfunctions of ultrametric morphological openings and closings

Cites Work

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• Morphology on Graphs and Minimum Spanning Trees
• Hierarchical Clustering of Massive, High Dimensional Data Sets by Exploiting Ultrametric Embedding
• Adjunctions on the Lattice of Dendrograms
• Playing with Kruskal: Algorithms for Morphological Trees in Edge-Weighted Graphs
• Flooding Edge or Node Weighted Graphs

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