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Topological operators for grayscale image processing

Topological operators for grayscale image processing 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 cross-section topology. In particular, the notion of the ॕ-destructible point allows us to selectively modify the topology, based on a local contrast parameter ॕ. By combining homotopic and nonhomotopic operators, we introduce new methods for filtering, thinning, segmenting, and enhancing grayscale images. © 2001 SPIE and IS&T. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Electronic Imaging SPIE

Topological operators for grayscale image processing

Couprie, Michel
Journal of Electronic Imaging , Volume 10 (4) – Oct 1, 2001
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References (21)

Publisher
SPIE
Copyright
Copyright © 2001 SPIE and IS&T
ISSN
1017-9909
eISSN
1560-229X
DOI
10.1117/1.1408316
Publisher site
See Article on Publisher Site

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 cross-section topology. In particular, the notion of the ॕ-destructible point allows us to selectively modify the topology, based on a local contrast parameter ॕ. By combining homotopic and nonhomotopic operators, we introduce new methods for filtering, thinning, segmenting, and enhancing grayscale images. © 2001 SPIE and IS&T.

Journal

Journal of Electronic Imaging – SPIE

Published: Oct 1, 2001

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