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Proceedings Paper

Lipschitz lattices and numerical morphology
Author(s): Jean C. Serra
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Paper Abstract

The classes of the equicontinuous functions from a metric space E into a metric lattice F offer a remarkably self-consistent theoretical framework to morphological operations. It is proved that in the case of robust lattices, they are closed under the Sup and Inf. A comprehensive class of dilations and erosions is continuous, as well as their combinations. Finally, when E = Rn, Minkowski and (more generally) translation invariant operators may be introduced.

Paper Details

Date Published: 1 July 1991
PDF: 12 pages
Proc. SPIE 1568, Image Algebra and Morphological Image Processing II, (1 July 1991); doi: 10.1117/12.49894
Show Author Affiliations
Jean C. Serra, Ecole des Mines de Paris (France)

Published in SPIE Proceedings Vol. 1568:
Image Algebra and Morphological Image Processing II
Paul D. Gader; Edward R. Dougherty, Editor(s)

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