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RESEARCH PRODUCT

Detecting Inclusions in Electrical Impedance Tomography Without Reference Measurements

Bastian HarrachJin Keun Seo

subject

Mathematical optimizationRobustness (computer science)Applied MathematicsFactorization methodNew variantInverse problemAlgorithmElectrical impedance tomographyMathematics

description

We develop a new variant of the factorization method that can be used to detect inclusions in electrical impedance tomography from either absolute current-to-voltage measurements at a single, nonzero frequency or from frequency-difference measurements. This eliminates the need for numerically simulated reference measurements at an inclusion-free body and thus greatly improves the method's robustness against forward modeling errors, e.g., in the assumed body's shape.

https://doi.org/10.1137/08072142x