Tropical and Morphological Operators for Signals on Graphs
Samy Blusseau, Santiago Velasco-Forero, Jesús Angulo, Isabelle Bloch · 2018
We extend recent work on mathematical morphology for signal processing on weighted graphs, based on discrete tropical algebra. The framework is general and can be applied to any scalar function defined on a graph. We show applications in structure tensors analysis and the regularisation of greyscale images.