Limited-data x-ray CT for underwater pipeline inspection
Autor: | Jacob Frosig, Nicolai Andre Brogaard Riis, Per Christian Hansen, Yiqiu Dong |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Pipeline (computing)
Inverse Problems Microlocal analysis 010103 numerical & computational mathematics 01 natural sciences Theoretical Computer Science ADMM method 0101 mathematics Underwater Computed tomography Mathematical Physics Mathematics Tomographic reconstruction Shearlet Applied Mathematics Small number Inverse problem Computer Science Applications 010101 applied mathematics Pipeline transport Signal Processing Algorithm Sparsity Limited data |
Zdroj: | Riis, N A B, Frøsig, J, Dong, Y & Hansen, P C 2018, ' Limited-data x-ray CT for underwater pipeline inspection ', Inverse Problems, vol. 34, no. 3, 034002 . https://doi.org/10.1088/1361-6420/aaa49c |
Popis: | Tomographic reconstruction from limited data is an important problem that arises in many applications and can be handled in many ways. Here 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 time. 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. Numerical simulations and results on real data demonstrate the usefulness of our approach and that we are able to locate defects in the pipe from a small number of projections. |
Databáze: | OpenAIRE |
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