Topological approach to image segmentation

Gilles Bertrand; Jean-Christophe Everat; Michel Couprie

doi:10.1117/12.251813

30 September 1996 Topological approach to image segmentation

Gilles Bertrand, Jean-Christophe Everat, Michel Couprie

Proceedings Volume 2826, Vision Geometry V; (1996) https://doi.org/10.1117/12.251813
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

We consider a cross-section topology which is defined on grayscale images. The main interest of this topology is that it keeps track of the grayscale information of an image. We define some basic notions relative to that topology. Furthermore, we indicate how to get an homotopic kernel. Such a kernel may be seen as an `ultimate' topological simplification of an image. A kernel of a real image, though simplified, is still an intricated image from a topological point of view. We introduce the notion of irregular region. The iterative method of irregular regions in a kernel allows to selectively simplify the topology. Through an example, we show that this notion leads to a method for segmenting some grayscale images without the need of defining and tuning parameters.

Citation Download Citation

Gilles Bertrand, Jean-Christophe Everat, and Michel Couprie "Topological approach to image segmentation", Proc. SPIE 2826, Vision Geometry V, (30 September 1996); https://doi.org/10.1117/12.251813

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