Morphological filtering and iteration

Henk J. A. M. Heijmans

doi:10.1117/12.24205

1 September 1990 Morphological filtering and iteration

Henk J. A. M. Heijmans

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Proceedings Volume 1360, Visual Communications and Image Processing '90: Fifth in a Series; (1990) https://doi.org/10.1117/12.24205
Event: Visual Communications and Image Processing '90, 1990, Lausanne, Switzerland

Abstract

The construction of morphological filters, i.e., morphological operators which are increasing and idempo- tent, is an important problem in mathematical morphology. In this paper it is described how one can construct openings and closings and other morphological filters by iteration. It turns out that a sort of order continuity is required to guarantee that iteration leads to idempotence. An important class of operators which yield morphological filters after iteration are the so-called pointwise monotone operators. In the last section the abstract theory is illustrated by a number of concrete examples.

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Henk J. A. M. Heijmans, Henk J. A. M. Heijmans, } "Morphological filtering and iteration", Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); doi: 10.1117/12.24205; https://doi.org/10.1117/12.24205

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