Prior based state reduction in backprojection type imaging algorithms for electrical tomography

Electrical tomography systems are imaging based measurement systems, which draw information about an inner state of an object from electrical impedance systems. Among them are electrical impedance tomography, electrical capacitance tomography or electrical resistance tomography. For imaging reconstruction a highly dimensional, ill-posed inverse problem has to be solved. Back-projection type reconstruction methods mark a class of algorithms of low computational complexity. Still, the high dimensionality causes restrictions with respect to the quality and the robustness of these methods. In this work we show the incorporation of a state reduction technique to reduce the high dimensional state vector within different backprojection type reconstruction methods. We demonstrate the usefulness of this approach e.g. with respect to its enhanced robustness and show its application for measurements in non-stationary industrial flow monitoring.