Department of Mathematics and Computer Science,
University of Perugia, Italy
During this tutorial I will discuss some algorithms for the reconstruction and the processing of digital images, focusing in particular on one recently introduced and successfully applied in various fields. I will examine them focusing in particular on the processing of thermographic images for the study of the seismic vulnerability of buildings and giving a quick reference to the estimation of thermal bridges for the energy saving.
Gianluca Vinti is Full professor of Mathematical Analysis at the Department of Mathematics and
Computer Science at the University of Perugia (Italy) from 2001 and from 2019 he is the Director
of Lamberto Cesari Interdepartmental Research Center. From 2014 till 2019 he has been the
Director of the Department of Mathematics and Computer Science of the University of Perugia.
To date he is Member of the Academic Board of the Ph.D. in Mathematics, Computer Science,
Statistics organized in consortium among the University of Perugia (Italy), University of Florence
(Italy) and the INdAM (National Institute of Higher Mathematics), Coordinator for the
Mathematics of the Educational Centre of the ``Accademia Nazionale dei Lincei'' at Perugia,
Member of the Scientific Commission of the Italian Mathematical Union (UMI) and Coordinator
of the UMI commission "Scientific Meetings".
He coordinates a research group, consisting of 2 Full Professors, 5 Associate Professor , 3 Assistant Professors , 1 Post doc student, 4 PHD Students, which deals with Real Analysis, Functional Analysis, Approximation Theory and its applications to Signal/Image Processing with reference to biomedical images (CT images) for the diagnosis of vascular pathologies, (AOCT images) for the diagnosis of retinopathies, (RNM images) for the diagnosis of Alzheimer's disease and image diagnostics for the study of the seismic vulnerability of buildings (image textures), for the evaluation of their energy efficiency (study of thermal bridges) and for the study and localization of acoustic sources (acoustic bridges).
He has been invited to hold more than 100 plenary talks at conferences and seminars at various universities and research centers, including: Aachen (Germany), Bedlewo (Poland), Czestochowa (Poland), Koln (Germany), Kraków (Poland), Madrid (Spain), Orleans (France), Poznan (Poland), S. Francisco (USA), Toronto (Canada), Thessaloniki (Greece), Trondheim (Norway), York (U.K.), Sibiu (Romania) and many others, in addition to the major Italian universities.
He belongs to the Editorial Board of several international mathematical journals.