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Proceedings Paper

Links: definition and properties
Author(s): Jean C. Serra
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Paper Abstract

In the lattice of the operators acting on a complete lattice, a link ? is the inf of an increasing and a decreasing mappings. The links generate a complete lattice, and are characterized, in case of complete distributivity, by the implication A ? X ? B ? ? (A) ^ ?(B) ? ?(X). They allow minimal representation of a large class of mappings by means of hit-or-miss. Special attention is devoted to the residuals, i.e. the set difference between the identity and increasing mappings. These particular links allow to provide a common form to skeletons, ultimate erosions and conditional bisectors.

Paper Details

Date Published: 1 September 1990
PDF: 12 pages
Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); doi: 10.1117/12.24208
Show Author Affiliations
Jean C. Serra, Ecole des Mines de Paris (France)

Published in SPIE Proceedings Vol. 1360:
Visual Communications and Image Processing '90: Fifth in a Series
Murat Kunt, Editor(s)

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