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"The central goal of this proposal is to settle the algorithmicfoundations of geometry understanding in dimensions higher than 3. Wecoin the term geometry understanding to encompass a collectionof tasks including the computer representation and the approximationof geometric structures, and the inference of geometric or topologicalproperties of sampled shapes.The need to understand geometric struc ...
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Biophysical Modeling and Analysis of Dynamic Medical Images (MedYMA)

Start date: Apr 1, 2012, End date: Mar 31, 2017,

During the past decades, exceptional progress was made with in vivo medical imaging technologies to capture the anatomical, structural and physiological properties of tissues and organs in a patient, with an ever increasing spatial and temporal resolution.The physician is now faced with a formidable overflow of information, especially when a time dimension is added to the already hard to int ...
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Traffic Management by Macroscopic Models (TRAM3)

Start date: Oct 1, 2010, End date: Mar 31, 2016,

We propose to investigate traffic phenomena from the macroscopic point of view, using models derived from fluid-dynamics consisting in hyperbolic conservation laws. In fact, even if the continuum hypothesis is clearly not physically satisfied, macroscopic quantities can be regarded as measures of traffic features and allow to depict the spatio-temporal evolution of traffic waves.Continuum models h ...
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Robust Geometry Processing (IRON)

Start date: Jan 1, 2011, End date: Dec 31, 2015,

Digital Geometry Processing (DGP) started nearly ten years ago on the premise that geometry would soon become the fourth type of digital medium after sounds, images, and video. While recent research efforts have successfully established some theoretical and algorithmic foundations to deal with this very special signal that is geometry, DGP has not resulted in the expected societal and technologi ...
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