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Summer Term 2020, Doctoral School Events
2020-04-03 CANCELLED Doctoral School Seminar (Inst. Mathematik, HS 11.02, Heinrichstr. 36, 15:00–17:00, KFU)
2020-05-08 Doctoral School Seminar (Video conference, 9:30–11:30, TU)
Fatima Jammoul (TU, advisor S. Hörmann): Preprocessing functional data by a factor model approach [show abstract]
Verena Horak (KFU, advisor K. Bredies): On a Machine Learning Attempt for EIT [show abstract]
Abraham Gutierrez (TU, advisor D. D'Angeli): Quality analysis in acyclic production networks [show abstract]
Michael Missethan (TU, advisor M. Kang): Longest and shortest cycles in random planar graphs [show abstract]
2020-06-05 Doctoral School Seminar (video conference, 13:30–15:30, KFU)
Stefan Kremsner (KFU, advisor G. Leobacher): Solving Elliptic PDEs with BSDEs and Neural Networks [show abstract]
Victor Fadinger (KFU, advisor A. Geroldinger): The monoid of product one sequences over arbitrary groups [show abstract]
Douglas Pacheco (TU, advisor O. Steinbach): Using the Navier-Stokes equations to compute pressure from measured velocities [show abstract]
Richard Huber (KFU, advisor K. Bredies): L2 convergence of pixel-driven projection methods

Abstract: The Radon transform is a cornerstone of countless imaging applications associated with tomography reconstructions. The use of computers in their solution requires discretization of the Radon transform and its adjoint – the backprojection. A well-known discretization approach is the "pixel driven" method which is typically used for the backprojection but is anecdotally known poorly approximate he forward operator, showing distinct oscillation artifacts. I present a rigorous analysis of pixel-driven methods, showing convergence in the operator norm towards the Radon transform between L2 spaces in case the discretization parameters are chosen appropriately. This suitable parameter choice does not coincide with the standard choice, thus explaining the anecdotal poor approximation quality.[hide abstract]