Linearization of the forward map of electrical impedance tomography

Physica Scripta 2026

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Authors: Erfang Ma
DOI: 10.1088/1402-4896/ae32c9
Cited by: 0
References: 8

Abstract

Abstract We analyze the nonlinear forward map of electrical impedance tomography (EIT) with the implicit function theorem. We show that the forward map is infinitely differentiable and use its Taylor expansion to quantify the error of this local linearization. We prove that the error of the linearization of second order could be halved with the popular log-transformation of conductivity in some cases. Simulations on a 3D EIT model also justify this theoretical finding.

Fields of Study & Subjects

Electrical and Bioimpedance Tomography Numerical methods in inverse problems Microwave Imaging and Scattering Analysis

Publication details

Journal / source
Physica Scripta
Volume
101
Issue
3
Pages
035206–035206
Publication date
2 January 2026