TROPICAL AND MORPHOLOGICAL OPERATORS FOR SIGNALS ON GRAPHS

Samy Blusseau 1 Santiago Velasco-Forero 1 Jesus Angulo 1 Isabelle Bloch 2
1 CMM - Centre de Morphologie Mathématique
2 LTCI - Laboratoire Traitement et Communication de l'Information
Abstract : 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 regularization of grayscale images.
Keywords : Signal processing on graphs signal pro- cessing on graphs tropical algebra Mathematical morphology
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Conference papers
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Samy Blusseau, Santiago Velasco-Forero, Jesus Angulo, Isabelle Bloch. TROPICAL AND MORPHOLOGICAL OPERATORS FOR SIGNALS ON GRAPHS. 2018 25th IEEE International Conference on Image Processing (ICIP), Oct 2018, Athens, Greece. ⟨10.1109/ICIP.2018.8451395⟩. ⟨hal-01799029v2⟩

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