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Adjunctions on the Lattice of Dendrograms

Fernand Meyer

Abstract

Dendrograms are used in hierarchical classification. They also are useful structures in image processing, for segmentation or filtering purposes. The structure of a hierarchy is univocally expressed by a ultrametric ecart. The hierarchies form a complete lattice on which two adjunctions will be defined.

Dates and versions

hal-01542849 , version 1 (20-06-2017)

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Fernand Meyer. Adjunctions on the Lattice of Dendrograms. International Workshop on Graph-Based Representations in Pattern Recognition, 2013, Vienna, Austria. pp.91-100, ⟨10.1007/978-3-642-38221-5_10⟩. ⟨hal-01542849⟩
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