Tutorial at ECAI 2020 ECAI

  Mathematical morphology and artificial intelligence

Isabelle Bloch, Samy Blusseau, Ramon Pino Pérez

  LTCI Telecom Paris CMM - Mines ParisTech Math - Univ Los Andes


 

Date: August 29 or 30, 2020 (half day)

Abstract: This tutorial aims at providing an overview of mathematical morphology with examples of its use in several fields of AI. This theory, in its deterministic setting, applies on any complete lattice, and the operators it provides can then be instantiated in numerous mathematical frameworks such as sets, scalar or vectorial functions, fuzzy sets, logics, graphs, hypergraphs... Examples will cover three domains of AI. In the first one, mathematical morphology operators will be expressed in some logics (propositional, modal, description logics) to answer typical questions in knowledge representation and reasoning, such as revision or fusion. In the second one, spatial reasoning will benefit from spatial relations modeled using fuzzy sets and morphological operators, with applications in image understanding. In the third one, interactions between mathematical morphology and deep learning will be detailed.

Speaker biographies:

Outline: This tutorial will be organized as follows: an introduction where the bases of mathematical morphology will be presented, and three parts of approximately equal length for the examples.

Course material:
Contact: Isabelle.Bloch@telecom-paris.fr