Adjunctions on the lattices of partitions and of partial partitions

DOI10.1007/s00200-010-0129-xzbMath1208.06003OpenAlexW2025064063MaRDI QIDQ607553

Christian Ronse

Publication date: 22 November 2010

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-010-0129-x

zbMATH Keywords

clusteringdilationultrametricpartial partitionadjunctionerosionblockwise extension of a set operatorone-block-preserving operator

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Lattices (06B99)

Related Items (8)

Orders on partial partitions based on block apportioning ⋮ Reflections on a scientific career and its possible legacy ⋮ Idempotent block splitting on partial partitions. I: Isotone operators ⋮ Idempotent block splitting on partial partitions. II: Non-isotone operators ⋮ Orders for simplifying partial partitions ⋮ Ordering partial partitions for image segmentation and filtering: merging, creating and inflating blocks ⋮ Semimodularity and the Jordan-Hölder theorem in posets, with applications to partial partitions ⋮ Musical Descriptions Based on Formal Concept Analysis and Mathematical Morphology

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