I will consider X-ray tomography in a product of an interval and a Euclidean space of any dimension. If one does not assume compact support or suitable decay, the X-ray transform has a non-trivial kernel. I will characterize the kernel for periodic functions. I will also discuss tensor tomography. The kernel consists of tensor fields of two kinds, and it can be fully characterized. This is based on joint work with Gunther Uhlmann.

This presentation is part of Contributed Presentation “CP3 - Contributed session 3”

Authors:

Joonas Ilmavirta (University of Jyväskylä)

Keywords:

computed tomography, inverse problems, non-uniqueness characterization, tensor tomography