Dynamic reconstruction algorithm based on the split Bregman iteration for electrical capacitance tomography

Electrical capacitance tomography (ECT) is considered a promising visualization measurement technique, in which image reconstruction algorithms play an important role in real applications. In this paper, a dynamic reconstruction model, which integrates the ECT measurement information and the dynamic evolution information of the reconstruction objects, is presented. A generalized objective function, which simultaneously considers the ECT measurement information, the dynamic evolution information of the objects of interest, the temporal constraints and the spatial constraints, is proposed. An iteration scheme that integrates the beneficial advantages of the split Bregman iteration technique and the homotopy algorithm is developed for solving the proposed objective function. Numerical simulations are implemented to evaluate the feasibility and effectiveness of the proposed algorithm. For the cases simulated in this paper, the accuracy of the images reconstructed by the proposed algorithm is improved and the artifacts in the reconstructed images can be removed effectively, which indicates that the proposed algorithm is successful in solving ECT inverse problems.

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