Abstract:To solve the nonlinear and ill-conditioned problem of image reconstruction in the electrical capacitance tomography (ECT), an adaptive simulated annealing-Levenberg Marquardt ( ASA-LM) joint inversion algorithm is proposed. The new solution generation strategy, energy function definition and annealing strategy of the standard simulated annealing (SA) algorithm are improved. The direct local search method of LM is combined to jointly invert the ECT image reconstruction problem. Meanwhile, the Savitzky-Golay ( SG) filter is used to smooth the capacitance data required for ECT image reconstruction to enhance its signal-to-noise ratio. Finally, simulation and static experiments are carried out and compared with linear back projection (LBP), Landweber iteration and standard SA algorithms. Comparison experiment results show that the ASA-LM algorithm has advantages of high reconstruction image accuracy and fast convergence speed. The image reconstruction quality is significantly improved, and the edge information fidelity is high. The average relative error of the reconstructed image is 0. 331 1, and the average correlation coefficient is 0. 933 1.