Hierarchies and optima

Authors:
Jean Serra
Affiliations:
Université Paris-Est, Noisy-le-Grand, France
Venue:
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Year:
2011

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Abstract

This paper is devoted to hierarchies of partitions, on which all criteria are proved to be connective. Optimisations are addressed by minimizing energies that satisfy the condition of hierarchical increasingness. The optimal cuts through the hierarchies are found. It is shown that many of the classical techniques are variants of what is proposed.