Objectifs :
• Examine methods developed in Mathematical Morphology to model and to simulate random sets and functions
• Learn to use these models in many physical situations with a probabilistic approach
• Be able to use the software Micromorph developed in CMM.

Contenu :
1- Introduction and Models of Random Sets
- Introduction to Random Sets and Functions
- Introduction to Mathematical Morphology and to morphologiacal measurements
- Presentation of the Micromorph package, measurements
2- Boolean Model and Random Tesselations
- Basic morphological measurements
- Stochastic point processes
- Boolean model
- Models of random tesselations (Voronoï, Johnson-Mehl, Poisson and Cauwe Polyhedra)
3- Models of random functions ans sequential models
- The mosaïc model
- Boolean random functions
- Sequential models :dead leaves tessellations ; practice of simulation
4- Reaction-diffusion models
- Dilution random functions
- Random diffusion-reaction models
- Fluid flow simulation by lattice gas models ; practice of simulation

Commentaires :
Department Mathematics and Systems
Centre de Morphologie Mathématique (CMM)
Professor : Dominique JEULIN
Email : dominique.jeulin@mines-paristech.fr
http://www.cmm.mines-paristech.fr/

Dernière mise à jour : mardi 15 juillet 2014