Nonlinear X-ray transformsCRC 1720: Early Career Researchers' Seminar

by Jan Bohr

Tuesday Oct 21, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

The Radon transform in the plane encodes the integrals of a function along all lines. Inverting the Radon transform is an instance of an inverse problem, where some unknown object is to be recovered from indirect measurements. As a warm-up, I will discuss some very classical reconstruction procedures in the plane (used e.g. in computed tomography) and an instance of invisibility, when the plane is replaced by a sphere. We will then consider a non-linear version of this transform, where the questions of reconstruction and invisibility are a lot trickier and some of the basic questions have only been answered fairly recently.