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Proceedings Paper

Equicontinuous functions: a model for mathematical morphology (Invited Paper)
Author(s): Jean C. Serra
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Paper Abstract

The classes of the equicontinuous functions from a metric space E into an ecart lattice T offer a remarkably consistent theoretical framework to morphological operations. It is proved that in the case of robust lattices, they are closed under sup and inf, with exceptional properties of continuity in addition. Special attention is paid to the cases when T is totally ordered (e.g., R or Z), and to the (finite or not) products of this case, i.e., to multispectral and/or motion images modelling.

Paper Details

Date Published: 1 June 1992
PDF: 12 pages
Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60646
Show Author Affiliations
Jean C. Serra, Univ. Politecnica de Catalunya and Univ. Autonoma de Barcelona (Spain)

Published in SPIE Proceedings Vol. 1769:
Image Algebra and Morphological Image Processing III
Paul D. Gader; Edward R. Dougherty; Jean C. Serra, Editor(s)

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