Gray-scale image processing using topological operators

Michel Couprie; Francisco-Nivando Bezerra; Gilles Bertrand

doi:10.1117/12.364101

23 September 1999 Gray-scale image processing using topological operators

Michel Couprie, Francisco-Nivando Bezerra, Gilles Bertrand

Proceedings Volume 3811, Vision Geometry VIII; (1999) https://doi.org/10.1117/12.364101
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In recent work, we introduced 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 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 (lambda) -destructible point allows us to selectively modify the topology, based on a local contrast parameter (lambda) . By combining homotopic and non-homotopic operators, we introduce new methods for filtering, thinning, segmenting and enhancing grayscale images.

Citation Download Citation

Michel Couprie, Francisco-Nivando Bezerra, and Gilles Bertrand "Gray-scale image processing using topological operators", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); https://doi.org/10.1117/12.364101

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