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

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