The inverse Rytov series for diffuse optical tomography

DOI10.1088/1361-6420/acf51barXiv2201.08651OpenAlexW4386278638MaRDI QIDQ6050810

Manabu Machida

Publication date: 12 October 2023

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

Full work available at URL: https://arxiv.org/abs/2201.08651

zbMATH Keywords

inverse problemsdiffuse optical tomographyRytov series

Mathematics Subject Classification ID

Equations and inequalities involving nonlinear operators (47Jxx) Numerical analysis in abstract spaces (65Jxx) Integral transforms, operational calculus (44Axx)

Cites Work

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• Regularization methods in Banach spaces.
• Higher order (nonlinear) diffraction tomography: inversion of the Rytov series
• Inverse Born Series for Scalar Waves
• Numerical studies of the inverse Born series for diffuse waves
• 12. Inverse Born series
• Inverse Born series for the radiative transport equation
• Convergence and stability of the inverse scattering series for diffuse waves
• Optical tomography in medical imaging
• A direct method for nonlinear ill-posed problems
• Inversion of the Bremmer Series
• Analysis of the inverse Born series: an approach through geometric function theory
• Modified forward and inverse Born series for the Calderon and diffuse-wave problems
• Optical tomography on graphs
• Convergence of the Born and inverse Born series for electromagnetic scattering
• Inverse Born series for the Calderon problem
• Restarted inverse Born series for the Schrödinger problem with discrete internal measurements
• On the convergence of the Born series in optical tomography with diffuse light