Electrical capacitance tomography (ECT) is a non-invasive imaging technique that aims at visualization of the cross-sectional permittivity distribution of a dielectric object based on the measured capacitance. In this paper, we propose a modified iterative Landweber method to accelerate the convergence rate and enhance the quality of the reconstructed image. In doing so, an additional acceleration term is added to the conventional iterative Landweber method and the optimal step length is determined analytically.

This work is concerned with the interfacial boundary estimation in stratified flows of two immiscible liquids using electrical resistance tomography. The interfacial boundary is parametrized with front points and the unknown positions of the front points are estimated based on the relationship between the injected currents and the induced boundary potentials. It is assumed that the interfacial boundary moves during the time taken to collect a full set of independent measurement data. In order to find the unknown interface, the front point locations are treated as state variables, which are tracked through the extended Kalman filter approach. Numerical experiments are successfully conducted for the verification of the proposed approach.

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