Stochastic Geometry, Mathematical Morphology and Statistical Shape Analysis
Aim of this reasearch is the probabilistic – statistical study of random geometric objects at different Hausdorff dimensions. Mathematical problems of this kind arise in many applications, like, for example, the study of birth-and-growth processes, of fibre processes, of the structure of random tessellations, and in related statistical problems, like classification or comparison of random shapes.
Keywords
Random closed sets; random tessellations; birth-and-growth processes; stochatic measure densities; stereology
Pubblications
Ambrosio L., Capasso V., Villa E.: On the approximation of mean densities of random closed sets, Bernoulli, 15, 1222--1242 (2009)
G.Aletti, Enea G.Bongiorno, V.Capasso. Integration in a dynamical stochastic geometric framework. ESAIM: Probability and Statistics, 15 (2011) 402--416.
Villa E., Rios P.R.: Transformation kinetics for nucleation on random planes and lines,Image Anal. Stereol. 30, 153--165 (2011)
V.Capasso, E. Dejana, A.Micheletti, Methods of stochastic geometry, and related statistical problems in the analysis and therapy of tumour growth and tumour-driven angiogenesis. In Selected Topics on Cancer Modelling. Genesis – evolution – immune competition – therapy, Nicola Bellomo, Mark Chaplain, and Elena De Angelis Eds. Series: Modelling and Simulation in Science, Engineering and Technology. Birkhauser, Boston, 2008, pp. 299-335. ISBN: 978-0-8176-4712-4
Alessandra Micheletti, Ermes Severgnini, Filippo Terragni, Mauro Vasconi, Statistical Shape Analysis applied to Microlitography. Proceedings of the SPIE International Symposium on Microlithography, Data Analysis and Modeling for Patterning Control III, San Jose, CA US, 2006.
Funded Projects related to the Research Theme
PRIN2005, “Modellizzazione stocastica a scala multipla di interfacce biominerali”
Components
| Members from the Department of Mathematics | ||
|---|---|---|
| Giacomo ALETTI | info | |
| Vincenzo CAPASSO | info | |
| Alessandra MICHELETTI | info | |
| Elena VILLA | info | |
| Collaborators | ||
| Maria Daniela CANDIA | Dipartimento di Bioscienze, Università di Milano | |
| Elisabetta DEJANA | Dipartimento di Bioscienze, Università di Milano | |
| Enea BONGIORNO | Università del Piemonte Orientale, Novara | |
| Paola RANCOITA | Università Vita-Salute S. Raffaele, Milano | |
| Paulo R. RIOS | Universidade Federal Fluminense, Brasil | |