Lipschitz lattices and numerical morphology

Jean C. Serra

doi:10.1117/12.49894

1 July 1991 Lipschitz lattices and numerical morphology

Jean C. Serra

Proceedings Volume 1568, Image Algebra and Morphological Image Processing II; (1991) https://doi.org/10.1117/12.49894
Event: San Diego, '91, 1991, San Diego, CA, United States

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.

Citation Download Citation

Jean C. Serra "Lipschitz lattices and numerical morphology", Proc. SPIE 1568, Image Algebra and Morphological Image Processing II, (1 July 1991); https://doi.org/10.1117/12.49894

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