[Forum SIS] Politecnico di Milano - Seminario L. Calatroni

[Laura M. Sangalli]

Si avvisa che in data 11/07/2016, alle ore 11:30 precise,
presso Aula Seminari "Saleri" VI Piano, Dipartimento di Matematica, 
Politecnico di Milano,
nell'ambito delle iniziative MOX, si svolgerà il seguente seminario:


Relatore:
Luca Calatroni, Experienced Researcher Marie-Curie fellow,
Camelot Biomedical systems, Genova and MIDA group, Università degli 
studi di Genova

Titolo:
Design and optimisation of non-smooth Imaging models via Partial 
Differential Equations

Abstract:
Variational methods and Partial Differential Equations (PDEs) have been 
extensively employed for the mathematical formulation of a myriad of 
problems describing physical phenomena such as heat propagation, 
thermodynamic transformations and many more. In imaging, PDEs following 
variational principles are often considered. In their general form these 
models combine a regularisation and a data fitting term, balancing one 
against the other appropriately. Typically, Total variation (TV) 
regularisation is used due to its edge-preserving and smoothing 
properties. In this talk, we focus on the use of PDEs for the optimal 
design of several Imaging models. Starting from the use of higher-order 
and non-smooth variants of classical heat-type diffusion models often 
employed to counteract well-known TV reconstruction drawbacks (such as 
staircasing), we focus in particular on the use of non-smooth 
optimisation approaches with PDE constraints in the context of optimal 
parameter estimation for some non-standard image denoising problems. 
Finally, we consider some TV-based models recently reinterpreted in the 
framework of graphs and applied to some image segmentation problems.


Tutti gli interessati sono invitati a partecipare.

Cordiali saluti,
Laura Sangalli


-- 
Laura Maria Sangalli
MOX - Dipartimento di Matematica
Politecnico di Milano
Piazza Leonardo da Vinci 32
20133 Milano - Italy
tel: +39 02 2399 4554
fax: +39 02 2399 4568
email: laura.sangalli at polimi.it
url: http://mox.polimi.it/~sangalli