An analytic reconstruction for the Compton scattering tomography in a plane

DOI10.1088/0266-5611/27/12/125004zbMath1235.78020OpenAlexW2058605171MaRDI QIDQ3111108

Victor P. Palamodov

Publication date: 17 January 2012

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

Full work available at URL: https://doi.org/10.1088/0266-5611/27/12/125004

zbMATH Keywords

Radon transforminversion formulaCompton scattering tomography

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Radon transform (44A12) Diffraction, scattering (78A45) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral geometry (53C65) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05)

Related Items (10)

Three dimensional Compton scattering tomography ⋮ On multiple scattering in Compton scattering tomography and its impact on fan-beam CT ⋮ A joint reconstruction and lambda tomography regularization technique for energy-resolved x-ray imaging ⋮ A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation ⋮ Compton scatter tomography in annular domains ⋮ Microlocal Analysis of a Compton Tomography Problem ⋮ Microlocal analysis of a spindle transform ⋮ Compton scattering tomography in translational geometries ⋮ Bragg scattering tomography ⋮ X-ray Compton scattering tomography

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