(January 9, 2024 10:30) The IMI Colloquium in January 2024
Date：January 5, 2024
InformationThe IMI Colloquium will be held on Tuesday, January 9.
| 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 |
| Program | 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. |