Limited-data x-ray CT for underwater pipeline inspection using shearlet-based regularizationMS33

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) .

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