6533b860fe1ef96bd12c2ed0

RESEARCH PRODUCT

Monotony Based Imaging in EIT

Bastian HarrachMarcel UllrichTheodore E. SimosGeorge PsihoyiosCh. Tsitouras

subject

Surface (mathematics)Partial differential equationMathematical analysisMonotonic functionBoundary value problemOperator theoryConductivityElectrical impedance tomographyMathematicsMathematical Operators

description

We consider the problem of determining conductivity anomalies inside a body from voltage‐current measurements on its surface. By combining the monotonicity method of Tamburrino and Rubinacci with the concept of localized potentials, we derive a new imaging method that is capable of reconstructing the exact (outer) shape of the anomalies. We furthermore show that the method can be implemented without solving any non‐homogeneous forward problems and show a first numerical result.

https://doi.org/10.1063/1.3498321