Mean curvature flow in SE (2) and applications to visual perception

Our goal in this thesis is to provide a result of existence of the degenerate non-linear, non-divergence PDE which describes the mean curvature flow in the Lie group SE(2) equipped with a sub-Riemannian metric. The research is motivated by problems of visual completion and models of the visual cortex.

Progetto vhdl di un nucleo di calcolo per misure di impedenza basate su segnali pseudo-random

In questo elaborato si affronta il progetto di un nucleo di calcolo per misure d'impedenza sulla pelle tramite l'utilizzo di segnali pseudo-random. La misura viene effettuata applicando il segnale casuale all'impedenza per ottenere la risposta impulsiva tramite un'operazione di convoluzione. Il nucleo di calcolo è stato implementato in VHDL.

Analisi della sicurezza del protocollo WPS ed offline cracking basato su generatori di numeri pseudo-casuali a bassa entropia

In questa tesi si analizza in parte il Wi-Fi Protected Setup (WPS), standard creato con l’obiettivo di configurare in maniera semplice, sicura e veloce reti Wi-Fi. Dopo avere introdotto lo standard ne vengono presentate le vulnerabilità progettuali ed anche quelle relative a problematiche implementative. In seguito viene mostrato il programma che si è sviluppato per eseguire una delle tipologie di attacchi presentati.

Sulla Pseudo-Telepatia Quantistica

La tesi descrive il fenomeno della pseudo-telepatia quantistica; vengono spiegati quali avvenimenti storici hanno portato alla nascita di questa teoria. Attraverso vari esempi, in un primo momento si cerca di far capire cosa sia realmente il fenomeno analizzato, successivamente verrà dimostrato che la pseudo-telepatia è la migliore strategia esistente per la risoluzione di alcune particolari tipologie di compiti.

Geometric properties of 2-dimensional minimal surfaces in a sub-Riemannian manifold which models the Visual Cortex

In this paper we study the notion of degree forsubmanifolds embedded in an equiregular sub-Riemannian manifold and we provide the definition of their associated area functional. In this setting we prove that the Hausdorff dimension of a submanifold coincides with its degree, as stated by Gromov. Using these general definitions we compute the first variation for surfaces embedded in low dimensional manifolds and we obtain the partial differential equation associated to minimal surfaces. These minimal surfaces have several applications in the neurogeometry of the visual cortex.

From the traditional verification approach to the spatial methods: a study of applicability of the SAL metric in the framework of the WMO project MesoVICT

Increasing in resolution of numerical weather prediction models has allowed more and more realistic forecasts of atmospheric parameters. Due to the growing variability into predicted fields the traditional verification methods are not always able to describe the model ability because they are based on a grid-point-by-grid-point matching between observation and prediction. Recently, new spatial verification methods have been developed with the aim of show the benefit associated to the high resolution forecast. Nested in among of the MesoVICT international project, the initially aim of this work is to compare the newly tecniques remarking advantages and disadvantages. First of all, the MesoVICT basic examples, represented by synthetic precipitation fields, have been examined. Giving an error evaluation in terms of structure, amplitude and localization of the precipitation fields, the SAL method has been studied more thoroughly respect to the others approaches with its implementation in the core cases of the project. The verification procedure has concerned precipitation fields over central Europe: comparisons between the forecasts performed by the 00z COSMO-2 model and the VERA (Vienna Enhanced Resolution Analysis) have been done. The study of these cases has shown some weaknesses of the methodology examined; in particular has been highlighted the presence of a correlation between the optimal domain size and the extention of the precipitation systems. In order to increase ability of SAL, a subdivision of the original domain in three subdomains has been done and the method has been applied again. Some limits have been found in cases in which at least one of the two domains does not show precipitation. The overall results for the subdomains have been summarized on scatter plots. With the aim to identify systematic errors of the model the variability of the three parameters has been studied for each subdomain.