Venue: Lecture Hall V, Second floor(new wing), Department of Mathematics
We consider the reconstruction problem for limited angle tomography using filtered backprojection (FBP). We introduce microlocal analysis and use it to explain why the well-known streak artifacts are present at the end of the limited angular range. We explain how to mitigate the streaks and prove that our modified FBP operator is a standard pseudodifferential operator, and so it does not add artifacts. We provide reconstructions to illustrate our mathematical results. This is joint work with Juergen Frikel, Helmholtz Zentrum, Muenchen.