Histogram tomography

DOI10.3934/mine.2020004OpenAlexW2894315476MaRDI QIDQ2099370

William R. B. Lionheart

Publication date: 23 November 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10446

zbMATH Keywords

histogramdistributionstrainRadon transformspectrumdiffractiontomographytensor tomographyneutron diffractionvector tomographyx-ray diffractionDoppler transformBragg edge

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Diffraction, scattering (78A45) Nuclear reactor theory; neutron transport (82D75) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Geometric optics (78A05) Pattern formations in context of PDEs (35B36)

Related Items (3)

Inverse problems in imaging and engineering science ⋮ Scanning electron diffraction tomography of strain ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields

Uses Software

• TVR-DART

Cites Work

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• Doppler tomography for vector fields
• Polarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstruction
• Diffraction tomography of strain
• DART: A Practical Reconstruction Algorithm for Discrete Tomography
• The Doppler moment transform in Doppler tomography

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