National
Responsible : Prof. G. Vinti
Aim
of the research
The
Research Group "Measure and Integration in Approximation Theory
and Applications" (M.I.A.T.A.), was founded in 2009, through the
active cooperation of the local units at the Universities of Perugia,
Cosenza, Potenza and Udine. The aim of the project are the development
of approximation theory issues which are based on questions of measure
and integration theory; these issues are the basis on which rest many
theoretical problems posed by the technological world. In particular,
the goal of the project is the study and the improvement of mathematical
models for an efficient reconstruction of signals and, in particular,
of images.
The
working group has developed from many years the skills on this field,
and had a good experience on these arguments thanks also to external
collaborations with European universities that will be strengthen and
developed.
The
interaction between theoretical models and applications is testified
by the collaboration, active for several years, with the section of
Vascular and Endovascular Surgery of the University of Perugia, consisting
on the analysis and the image processing for the study of aneurysms
and arterial stenosis.