A review of image reconstruction algorithms in electrical capacitance tomography

In order to learn the fundamental physics of complex multiphase flow systems using the electrical capacitance tomography (ECT) approach as an advanced measurement technique, we write a literature review of the ECT method from a perspective of the optimization algorithm design with domain constraints. In the first place we introduce the physical laws governing the ECT system. Then we will focus on optimization techniques in terms of various hardware settings, and signal processing algorithms that are capable to recover the cross sectional image of the internal characteristics of a specified region based on the measuring capacitances data of multi-electrode sensors. Among these approaches, we will investigate their advantages and limitations, and analyze the algorithms which have been examined through simulations or physical experiments.

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