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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.


Random closed sets; random tessellations; birth-and-growth processes; stochatic measure densities; stereology


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”


Members from the Department of Mathematics
Giacomo ALETTI    info
Vincenzo CAPASSO    info 
Alessandra MICHELETTI    info 
Elena VILLA    info
Maria Daniela CANDIADipartimento di Bioscienze, Università di Milano 
Elisabetta DEJANADipartimento di Bioscienze, Università di Milano 
Enea BONGIORNOUniversità del Piemonte Orientale, Novara 
Paola RANCOITAUniversità Vita-Salute S. Raffaele, Milano 
Paulo R. RIOSUniversidade Federal Fluminense,  Brasil 
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