Kyushu University Joint Graduate School of Mathematics for Innovation

(January 9, 2024 10:30) The IMI Colloquium in  January 2024

Date:January 5, 2024


The IMI Colloquium will be held on Tuesday,  January 9.

DateTuesday, 9  January 2024
PlaceIMI Auditorium(W1-D-413)
SpeakerProfessor Samuli Siltanen
(University of Helsinki/The Finnish Center of Excellence in Inverse Problems Research)
TitleCase study of industrial inverse problems in Finland: X-ray tomography
ProgramX-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.

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