Integral Geometry in Hyperbolic Spaces and Electrical Impedance Tomography

DOI10.1137/S0036139994277348zbMath0854.35124OpenAlexW2065518441MaRDI QIDQ4887637

Enrico Casadio Tarabusi, Carlos. A. Berenstein

Publication date: 5 August 1996

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139994277348

zbMATH Keywords

convolution operatorsX-ray transformelectrical impedance tomographylinearized inverse conductivity problemRadon transform on hyperbolic spaces

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Radon transform (44A12) Integral geometry (53C65)

Related Items (12)

A universal, canonical dispersive ordering in metric spaces ⋮ Harmonic Analysis in Non-Euclidean Spaces: Theory and Application ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ Sets that maximize probability and a related variational problem ⋮ \(L_p\) Busemann-Petty centroid inequality in hyperbolic and spherical spaces ⋮ Ray transforms on a conformal class of curves ⋮ Range of the horocyclic Radon transform on trees ⋮ Tensor tomography on Cartan–Hadamard manifolds ⋮ Electrical Impedance Tomography ⋮ Sampling in Euclidean and Non-Euclidean Domains: A Unified Approach ⋮ Ray transforms in hyperbolic geometry ⋮ Characterization of the range of the Radon transform on homogeneous trees

This page was built for publication: Integral Geometry in Hyperbolic Spaces and Electrical Impedance Tomography