Skip to Main content Skip to Navigation
Conference papers

Some morphological operators in graph spaces

Abstract : 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.
Document type :
Conference papers
Complete list of metadata
Contributor : Laurent Najman Connect in order to contact the contributor
Submitted on : Monday, September 12, 2011 - 2:12:25 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM

Links full text



Jean Cousty, Laurent Najman, Jean Serra. Some morphological operators in graph spaces. 9th International Symposium on Mathematical Morphology (ISMM 2009), Aug 2009, Groningen, Netherlands. pp.149-160, ⟨10.1007/978-3-642-03613-2_14⟩. ⟨hal-00622403⟩



Record views