Novel applications of discrete mereotopology to mathematical morphology

G Landini, A Galton, D Randell, S Fouad - Signal Processing: Image …, 2019 - Elsevier
This paper shows how the Discrete Mereotopology notions of adjacency and
neighbourhood between regions can be exploited through Mathematical Morphology to …

Dimensional operators for mathematical morphology on simplicial complexes

F Dias, J Cousty, L Najman - Pattern Recognition Letters, 2014 - Elsevier
In this work we study the framework of mathematical morphology on simplicial complex
spaces. Simplicial complexes are widely used to represent multidimensional data, such as …

Modélisation et représentation d'objets discrets 2D avec une décomposition spatiale non uniforme par une structure algébrique

R DOUAFER - 2020 - dspace.univ-guelma.dz
Ce travail présente une modélisation basée sur les concepts de la théorie de Morse qui
conduit à concevoir un algorithme responsable de générer deux structures topologiques …

[HTML][HTML] Morphological filtering on hypergraphs

BS Vadakkenveettil, A Unnikrishnan… - Discrete Applied …, 2017 - Elsevier
In this work we study the framework of mathematical morphology on hypergraph spaces.
Hypergraphs were introduced in the 60s as a natural generalization of graphs, where edges …