A self-adapting Landweber algorithm for the inverse problem of electrical capacitance tomography (ECT)

Abstract

Electrical capacitance tomography (ECT) is considered as one of the tomography techniques with a broad developing prospect owning to the distinct advantages such as low cost, non-invasive and high safety. However, the image reconstruction in ECT is an ill-posed and nonlinear problem. In order to relieve the non-linearity of ECT system, this paper proposed a self-adapting Landweber (SAL) algorithm which use interelectrode capacitances as a prior information to select the optimal sensitive matrix in the database automatically. Typical flow patterns have been examined by simulated data and experimental data. And the results indicate that compared with conventional Landweber algorithm, this method can achieve reconstructed images with better quality, and the artifacts of the reconstructed images are reduced obviously.