Topological operators for grayscale image processing

Abstract : In a 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 -destructible point allows us to selectively modify the topology, based on a local contrast parameter . By combining homotopic and non-homotopic operators, we introduce new methods for ltering, thinning, segmenting and enhancing grayscale image.
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Michel Couprie, Francisco Nivando Bezerra, Gilles Bertrand. Topological operators for grayscale image processing. Journal of Electronic Imaging, SPIE and IS&T, 2001, 10 (4), pp.1003-1015. ⟨hal-00622474⟩

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