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Abstract: We propose an original approach to the watershed problem, based on topology. We introduce a "one-dimensional" topology for grayscale images, and more generally for weighted graphs. This topology allows us to precisely define a topological grayscale transformation that generalizes the action of a watershed transformation. Furthermore, we propose an e#cient algorithm to compute this topological grayscale transformation, and we give an example of application to image segmentation. (Update)
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BibTeX entry: (Update)
M. Couprie and G. Bertrand. Topological grayscale watershed transformation. In SPIE Vision Geometry V Proceedings, volume 3168, pages 136--146, 1997. http://citeseer.ist.psu.edu/couprie97topological.html More
@misc{ couprie97topological,
author = "M. Couprie and G. Bertrand",
title = "Topological grayscale watershed transformation",
text = "M. Couprie and G. Bertrand. Topological grayscale watershed transformation.
In SPIE Vision Geometry V Proceedings, volume 3168, pages 136--146, 1997.",
year = "1997",
url = "citeseer.ist.psu.edu/couprie97topological.html" }
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26 Use of Watersheds in Contour Detection (context) - Beucher, Lantuejoul - 1979
22 II: Theoretical Advances (context) - Serra, Analysis et al. - 1988
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9 Attribute Openings, Thinnings and Granulometries (context) - Breen, Jones - 1996
4 Semantique des images par analyse dendronique (context) - Hanusse, Guillataud - 1992
4 New topological operators for segmentation (context) - Everat, Bertrand - 1996
3 A Topological approach to image segmentation (context) - Bertrand, Everat et al. - 1996
3 Watershed and Skeleton by Influence Zone: A Distance-Based A.. (context) - Preteux - 1992
2 Extraction de caracteristiques, segmentation d'images et Mor.. (context) - Vachier - 1995
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