Modified forward and inverse Born series for the Calderon and diffuse-wave problems - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems Year : 2020

Modified forward and inverse Born series for the Calderon and diffuse-wave problems

Abstract

We propose a new direct reconstruction method based on series inversion for Electrical Impedance Tomography (EIT) and the inverse scattering problem for diffuse waves. The standard Born series for the forward problem has the limitation that the series requires that the contrast lies within a certain radius for convergence. Here, we instead propose a modified Born series which converges for the forward problem unconditionally. We then invert this modified Born series and compare reconstructions with the usual inverse Born series. We also show that the modified inverse Born series has a larger radius of convergence.
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Dates and versions

hal-02571381 , version 1 (12-05-2020)

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Anuj Abhishek, Marc Bonnet, Shari Moskow. Modified forward and inverse Born series for the Calderon and diffuse-wave problems. Inverse Problems, 2020, 36, pp.114001. ⟨10.1088/1361-6420/abae11⟩. ⟨hal-02571381⟩
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