Explore the mathematics behind X-ray Computed Tomography (CT) imaging and learn advanced techniques for artifact suppression in this 53-minute SIAM-IS Virtual Seminar Series talk. Delve into the basic principles of CT image reconstruction and understand various artifacts that can degrade image quality. Discover recent developments in metal artifact reduction (MAR) and scattering artifact suppression, including algorithms for cone beam CT and industrial applications. Examine numerical experiments on patient data, crack detection, and simulated phantoms to gain practical insights into artifact reduction methods. Gain valuable knowledge on improving CT image quality for both medical and industrial applications.