Prof. Gianluca Vinti

Approximation Problems for Digital Image Processing and Applications



Director of the Department of Mathematics and Computer Science,
University of Perugia, Italy



In this talk, some approximation problems are discussed with applications to reconstruction and to digital image processing. We will also show some applications to concrete problems in the medical and engineering fields. Regarding the first, a procedure will be presented,  based on approaches of approximation theory and on algorithms of digital image processing for the diagnosis of aneurysmal diseases; in particular  we discuss the extraction of the pervious lumen  of the artery starting from CT image without contrast medium. As concerns the engineering field, thermographic images are analyzed  for the study of thermal bridges and for the structural and dynamic analysis of buildings, working therefore in the field of energy analysis and seismic vulnerability of buildings, respectively. 

Short Bio

Gianluca Vinti is Full  Professor of Mathematical Analysis at the Department of Mathematics and Computer Science of the University of Perugia. He is Director of the Department since 2014 and  member of the Academic Senate of the University.  Member of the Board of the Italian Mathematical Union since 2006, member of the "Scientific Council of
the GNAMPA-INdAM "(National Group for the Mathematical Analysis, the Probability and their Applications) since 2013, Referent for the Mathematics of the Educational Center of the "Accademia Nazionale dei Lincei" at Perugia since 2013 and Member of the Academic Board of the Ph.D. in Mathematics, Computer Science, Statistics organized in consortium (C.I.A.F.M.) among the University of Perugia (Italy), University of Florence (Italy) and the INdAM (National Institute of High Mathematics).

He is and has been coordinator of several research projects and he coordinates a research team who deals with Real Analysis, Theory of Integral Operators, Approximation Theory and its Applications to Signal Reconstruction and Images Processing.
He has been invited to give more than 50 plenary lectures at conferences
at various Universities and Research Centers. Moreover he is author of more than 115 publications on international journals and one  scientific monography  on "Nonlinear Integral Operators and Applications" edited by  W. de Gruyter.  

Finally he is member of the Editorial Board of the following international scientific journals: Sampling Theory in Signal and Image Processing (STSIP), Journal of Function Spaces and Applications, Open Mathematics, and others and he holds a patent entitled: "Device for obtaining informations on  blood vessels and other bodily-cave parts".