Constructive links between some morphological hierarchies on edge-weighted graphs

Abstract : In edge-weighted graphs, we provide a unified presentation of a family of popular morphological hierarchies such as component trees, quasi flat zones, binary partition trees, and hierarchical watersheds. For any hierarchy of this family, we show if (and how) it can be obtained from any other element of the family. In this sense, the main contribution of this paper is the study of all constructive links between these hierarchies.
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Jean Cousty, Laurent Najman, Benjamin Perret. Constructive links between some morphological hierarchies on edge-weighted graphs. C.L. Luengo Hendriks, G. Borgefors, R. Strand. International Symposium on Mathematical Morphology, May 2013, Uppsala, Sweden. Springer, 7883, pp.85-96, 2013, Lecture Notes in Computer Science. 〈hal-00798622v2〉

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