Computed Tomography: a real case example of inverse problem

Wednesday 15 June 2016 h. 15:00, Room 2BC30
Elena Morotti (Dip. Mat.)
"Computed Tomography: a real case example of inverse problem"

X-ray computed tomography (CT) is a well known medical imaging technique, that seeks to reveal internal structures hidden by the skin and bones. Mathematically, the CT process can be modelled as a linear system and the image reconstruction is a challenging inverse problem. In this talk I will show both phisical and mathematical basic concepts, to explain the CT process, and the two possible approaches to solve the problem (leading to analitical or iterative numerical methods). Finally, I will shortly introduce the Digital Breast Tomosynthesis (DBT) technology, that is a 3D emerging technique for the diagnosis of breast tumors, together with numerical results for a simulated problem.