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Journal of Electronic Imaging

Topological operators for grayscale image processing
Author(s): Michel Couprie; Francisco-Nivando Bezerra; Gilles Bertrand
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Paper Abstract

In recent work, we introduced some topological notions for grayscale images based on a cross-section topology. In particular, the notion of destructible point, which corresponds to the classical notion of simple point, allows us to build operators that simplify a grayscale image while preserving its topology. In this paper, we introduce new notions and operators in the framework of the crosssection topology. In particular, the notion of the l-destructible point allows us to selectively modify the topology, based on a local contrast parameter l. By combining homotopic and nonhomotopic operators, we introduce new methods for filtering, thinning, segmenting, and enhancing grayscale images.

Paper Details

Date Published: 1 October 2001
PDF: 13 pages
J. Electron. Imag. 10(4) doi: 10.1117/1.1408316
Published in: Journal of Electronic Imaging Volume 10, Issue 4
Show Author Affiliations
Michel Couprie, Groupe ESIEE Paris (France)
Francisco-Nivando Bezerra, Groupe ESIEE Paris (France)
Gilles Bertrand, Groupe ESIEE Paris (France)

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