Välkommen till föreläsningen i seminarieserien i matematik.
X-ray tomography is used to recover a function from its line integrals and is directly related to medical imaging. An alternative to popular filtered-backprojection methods, the Algebraic Reconstruction Technique (ART) provides a robust, iterative reconstruction algorithm that is based on Kaczmarz’s method for solving linear systems. We will begin by reviewing the X-ray transform, describing a few scanning geometries used in Computed Tomography, and then have a small diversion on computing the X-ray transform of the unit square in \mathbf{R}^2.