On stable region-of-interest reconstruction in tomography: examples of non-existence of bounded inverse

DOI10.1088/0266-5611/32/12/125005zbMath1364.35432OpenAlexW2550195876MaRDI QIDQ2957533

Jan Boman

Publication date: 26 January 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/12/125005

zbMATH Keywords

stabletomographyreconstructionregion-of-interest

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Stability estimates for the local Radon transform ⋮ Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc

Cites Work

• Interior SPECT—exact and stable ROI reconstruction from uniformly attenuated local projections
• Radon Inversion--Variations on a Theme
• Image reconstruction in regions of interest from truncated Radon transforms of even dimensions
• Truncated Hilbert transform and image reconstruction from limited tomographic data
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

This page was built for publication: On stable region-of-interest reconstruction in tomography: examples of non-existence of bounded inverse