Ray transforms in hyperbolic geometry

DOI10.1016/j.matpur.2005.02.001zbMath1099.44002OpenAlexW2016713499MaRDI QIDQ2581335

Guillaume Bal

Publication date: 9 January 2006

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2005.02.001

zbMATH Keywords

Riemann-Hilbert problemtransport equationhyperbolic geometryray transforminversion formulaefiltered backprojection formulahyperbolic Radon transform

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (8)

The attenuated geodesic x-ray transform ⋮ Building bulk geometry from the tensor Radon transform ⋮ The attenuated ray transform for connections and Higgs fields ⋮ Ray transforms on a conformal class of curves ⋮ Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature ⋮ Tensor tomography on Cartan–Hadamard manifolds ⋮ Inversion of the Attenuated Geodesic X-Ray Transform over Functions and Vector Fields on Simple Surfaces ⋮ Tensor tomography: progress and challenges

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