An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data

DOI10.1088/0266-5611/32/11/115009zbMath1364.65286arXiv1511.05305OpenAlexW2244597970MaRDI QIDQ2835441

William R. B. Lionheart, Naeem M. Desai

Publication date: 2 December 2016

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

Full work available at URL: https://arxiv.org/abs/1511.05305

zbMATH Keywords

strain Radon transform numerical examples tensor tomography diffraction tomography transverse ray transform filtered back-projection reconstruction algorithm

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (7)

Unique continuation results for certain generalized ray transforms of symmetric tensor fields ⋮ Iterative inversion of the tensor momentum x-ray transform ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields ⋮ Scanning electron diffraction tomography of strain ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Support theorems for the transverse ray transform of tensor fields of rank \(m\) ⋮ Histogram tomography

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