A Complete Characterization of Artifacts in Arbitrary Limited Data Tomography ProblemsMS7

We will describe our characterization of artifacts in limited data X-ray tomography reconstructions with arbitrary data. We provide estimates of the strength of the added artifacts in some cases, and we illustrate our results using standard and non-standard limited data tomography problems with real and simulated data. The work is based on a microlocal analysis of the X-ray transform and backprojection, and it can be applied to a range of limited data problems.

This presentation is part of Minisymposium “MS7 - Limited data problems in imaging (2 parts)
organized by: Bernadette Hahn (University of Würzburg) , Gaël Rigaud (Saarland University) , Jürgen Frikel (OTH Regensburg) .

Todd Quinto (Tufts University)
Leise Borg (University of Copenhagen)
Jürgen Frikel (OTH Regensburg)
Jakob Jorgensen (University of Manchester)
computed tomography, image enhancement, image reconstruction, inverse problems, microlocal analysis