Event info

Date: Tuesday, 9 January 2024 10:30--11:30
Place: IMI Auditorium (W1-D-413)

Speaker:
Professor Samuli Siltanen
(University of Helsinki/The Finnish Center of
Excellence in Inverse Problems Research)

Title:
Case study of industrial inverse problems in Finland: X-ray
tomography

Abstract:
X-ray tomography is based on recording X-ray images of a
patient or object along several directions of
projection. Mathematically, this leads to an inverse problem
of reconstructing a non-negative function f from the
knowledge of line integrals of f along a finite collection
of lines. There are many applications of X-ray tomography in
medical imaging, biological research and nondestructive
testing. Moreover, the same mathematical model is relevant
for tomographic inversion based on visible light, neutron
beams, or transmission electron microscopy. However, in
applications it often happens that the set of directions of
lines is severely restricted. This makes the image recovery
problem ill-posed, and special numerical algorithms are
needed for the solution. In the presentation, examples of
industrial collaboration are described in limited-angle and
cone-beam dental X-ray tomography.