SEMINARIO DI MATEMATICA APPLICATA (8 settembre)

[Alessandra Micheletti <alessandra.micheletti@mat.unimi.it>]

Apologies for cross posting

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SEMINARIO DI MATEMATICA APPLICATA

Giovedì 8 Settembre 2005, ore 10.30
Aula Rappresentanza, Dipartimento di Matematica
(Via Saldini 50, Milano)


Morphological Models of Random Media

Dominique Jeulin
Centre de Morphologie Mathématique
Ecole des Mines de Paris
35 rue Saint-Honoré F77300 Fontainebleau, France
Email: jeulin@cmm.ensmp.fr


ABSTRACT
Many physical phenomena which occur in materials, geological and
biological structures present heterogeneous properties at various
scales, which can be accounted for by a probabilistic approach.
Various types of models are available for describing and
simulating heterogeneous structure. The principal types of models
in the field of random images can be commonly classified as
follows: i) stochastic point processes, to reproduce dispersions
of small particles in a matrix; ii) random tessellations of space
to generate granular structures, such as polycrystals; iii) random
sets (binary), or multicomponent random sets, to represent porous
media or mineralogical textures (for instance the Boolean model
and its extensions, like the dead leaves model or multiscale
models of random sets; iv) random functions (scalar or
multivariate random functions) RF, useful for grey level or color
images, rough surfaces, and for chemical concentration mappings
(for instance the Boolean or the dead leaves random functions); v)
random graphs to describe data on a network connecting vertices
(roads, porous media, crack networks), and random trees for
arborescent data (as seen in organs like lung, kidney). After a
recall of basic properties and characterization of random
structures, we introduce some models of random sets and of random
functions, and we shortly discuss about their use to predict the
physical behavior of random media.


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La home page del seminario e'
http://www.mat.unimi.it/users/pavarino/sma/
Il seminario e' organizzato dal Dipartimento di Matematica
dell'Universita' di Milano in collaborazione col Centro ADAMSS
(ADvanced Applied Mathematical and Statistical Sciences)  e il
Dottorato di Ricerca MSSCI (Matematica, Statistica, Scienze
Computazionali e Informatica) e MSSC (Matematica e Statistica per
le Scienze Computazionali). Per ulteriori informazioni contattare
Luca Pavarino o Kevin Payne.

-------------------------------------------------
prof. Alessandra Micheletti
Dipartimento di Matematica
Universita' degli Studi di Milano
via Saldini 50, 20133 Milano, Italy.
ph: +39-02-50316120     fax: +39-02-50316090
www.mat.unimi.it/~michel
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