In this talk we consider inspection of underwater oil pipelines via fan-beam X-ray CT where, due to restrictions in the measurement device, the beam cannot illuminate the full area to be reconstructed. Moreover, it is desirable to use only a small number of projections to save measurement cost. We use microlocal analysis to determine a favorable scanning geometry, and propose a reconstruction method based on compactly supported shearlets with a weighted sparsity penalty.

This presentation is part of Minisymposium “MS33 - Advances in reconstruction algorithms for computed tomography (4 parts)”
organized by: Gunay Dogan (Theiss Research, NIST) , Harbir Antil (George Mason University) , Elena Loli Piccolomini (Dept. Computer Science and Engineering, University of Bologna) , Samuli Siltanen (University of Helsinki) .

Authors:

Nicolai André Brogaard Riis (Technical University of Denmark)

Per Christian Hansen (Technical University of Denmark)

Yiqiu Dong (Technical University of Denmark)

Jacob Frøsig (FORCE Technology)

Keywords:

computed tomography, image reconstruction, inverse problems, numerical linear algebra, shearlets, sparsity