6533b836fe1ef96bd12a1c7a

RESEARCH PRODUCT

Recent progress in electrical impedance tomography

Martin BrühlMartin Hanke

subject

Applied MathematicsMathematical analysisBoundary (topology)Inverse problemObject (computer science)Computer Science ApplicationsTheoretical Computer ScienceElectrical resistivity and conductivitySignal ProcessingCalculusFactorization methodElectrical impedance tomographyMathematical PhysicsMathematics

description

We consider the inverse problem of finding cavities within some body from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We survey two algorithms for solving this inverse problem, namely the factorization method and a MUSIC-type algorithm. In particular, we present a number of numerical results to highlight the potential and the limitations of these two methods.

https://doi.org/10.1088/0266-5611/19/6/055