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"... SALVE DIAS A study of some morphological operators in simplicial complex spaces Une étude de certains opérateurs morphologiques dans les complexes simpliciaux Thèse dirigée par Laurent NAJMAN Co-encadre ́ par Jean COUSTY ..."

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SALVE DIAS A study of some morphological operators in simplicial complex spaces Une étude de certains opérateurs morphologiques dans les complexes simpliciaux Thèse dirigée par Laurent NAJMAN Co-encadre ́ par Jean COUSTY

### Neighborhood Graphs built with Morphological Operators

"... Abstract: A method for building neighborhood graphs using morphological operators is presented in this paper. This method has a segmented image as input, containing objects that will define the graph vertices. The edges of the graph will be determined by the neighborhood between these objects, defin ..."

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Abstract: A method for building neighborhood graphs using morphological operators is presented in this paper. This method has a segmented image as input, containing objects that will define the graph vertices. The edges of the graph will be determined by the neighborhood between these objects, defined by the watershed. We will carry out morphological operations in each partition of the watershed to define the edges of the graph. These graphs can be used efficiently to solve various problems in image processing and is also a powerful structure used in mathematical morphology.