A graph-based mathematical morphology reader
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Morphological filtering on graphs
We study some basic morphological operators acting on the lattice of all subgraphs of an
arbitrary (unweighted) graph G. To this end, we consider two dual adjunctions between the …
arbitrary (unweighted) graph G. To this end, we consider two dual adjunctions between the …
Morpho-logic from a topos perspective–application to symbolic AI
Modal logics have proved useful for many reasoning tasks in symbolic artificial intelligence
(AI), such as belief revision, spatial reasoning, among others. On the other hand …
(AI), such as belief revision, spatial reasoning, among others. On the other hand …
Mathematical morphology on hypergraphs, application to similarity and positive kernel
The focus of this article is to develop mathematical morphology on hypergraphs. To this aim,
we define lattice structures on hypergraphs on which we build mathematical morphology …
we define lattice structures on hypergraphs on which we build mathematical morphology …
On morphological hierarchical representations for image processing and spatial data clustering
P Soille, L Najman - International Workshop on Applications of Discrete …, 2010 - Springer
Hierarchical data representations in the context of classification and data clustering were put
forward during the fifties. Recently, hierarchical image representations have gained …
forward during the fifties. Recently, hierarchical image representations have gained …
A short tour of mathematical morphology on edge and vertex weighted graphs
Mathematical morphology is a discipline of image analysis that was introduced in the mid-
1960s by two researchers at the Ecole des Mines in Paris: Georges Matheron [1] and Jean …
1960s by two researchers at the Ecole des Mines in Paris: Georges Matheron [1] and Jean …
[HTML][HTML] Robust similarity between hypergraphs based on valuations and mathematical morphology operators
This article aims at connecting concepts of similarity, hypergraph and mathematical
morphology. We introduce new measures of similarity and study their relations with pseudo …
morphology. We introduce new measures of similarity and study their relations with pseudo …
Similarity between hypergraphs based on mathematical morphology
In the framework of structural representations for applications in image understanding, we
establish links between similarities, hypergraph theory and mathematical morphology. We …
establish links between similarities, hypergraph theory and mathematical morphology. We …
Expressing discrete spatial relations under granularity
The logic UBiSKt is a bi-intuitionistic modal logic with universal modalities having a
semantics in which formulae are interpreted as subgraphs. We use the logic to formalize the …
semantics in which formulae are interpreted as subgraphs. We use the logic to formalize the …
Dimensional operators for mathematical morphology on simplicial complexes
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 …
spaces. Simplicial complexes are widely used to represent multidimensional data, such as …