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ISMM
2009
Springer

Some Morphological Operators in Graph Spaces

8 years 10 months ago
Some Morphological Operators in Graph Spaces
We study some basic morphological operators acting on the lattice of all subgraphs of a (non-weighted) graph G. To this end, we consider two dual adjunctions between the edge set and the vertex set of G. This allows us (i) to recover the classical notion of a dilation/erosion of a subset of the vertices of G and (ii) to extend it to subgraphs of G. Afterward, we propose several new erosions, dilations, granulometries and alternate filters acting (i) on the subsets of the edge and vertex set of G and (ii) on the subgraphs of G.
Jean Cousty, Laurent Najman, Jean Serra
Added 26 May 2010
Updated 12 Jan 2011
Type Conference
Year 2009
Where ISMM
Authors Jean Cousty, Laurent Najman, Jean Serra
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