On solenoidal-injective and injective ray transforms of tensor fields on surfaces

DOI10.1515/jiip-2018-0067zbMath1418.35381arXiv1807.10730OpenAlexW2949333028WikidataQ114052955 ScholiaQ114052955MaRDI QIDQ2316703

François Monard, Venkateswaran P. Krishnan, Rohit Kumar Mishra

Publication date: 6 August 2019

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10730

zbMATH Keywords

reconstructiontensor tomographyattenuated ray transformgeodesic X-ray transformtransverse ray transformmoment transform

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Radon transform (44A12) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (11)

Simultaneous recovery of attenuation and source density in SPECT ⋮ V-line 2-tensor tomography in the plane ⋮ The conical Radon transform with vertices on triple line segments ⋮ SPECT with a multi-bang assumption on attenuation ⋮ Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in \(\mathbb{R}^n\) ⋮ Generalized attenuated ray transforms and their integral angular moments ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Generalized V-line transforms in 2D vector tomography ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$ ⋮ Mixed ray transform on simple 2-dimensional Riemannian manifolds ⋮ Generic uniqueness and stability for the mixed ray transform

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