Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions

DOI10.1137/19M1282921zbMath1447.65118arXiv1908.09133MaRDI QIDQ5108486

Kamran Sadiq, Hiroshi Fujiwara, Alexandru Tamasan

Publication date: 4 May 2020

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09133

zbMATH Keywords

scatteringinverse problemsHilbert transformtransport equation\(A\)-analytic mapsattenuated Radon transformoptical molecular imagingattenuated X-ray transformnumerical source reconstructionBukhgeim-Beltrami equation

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (4)

Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation ⋮ Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation ⋮ Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc

Uses Software

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