| Citation: | MA Min, FAN Guangyong, SUN Yinget al. Improved capacitance imaging biconjugate gradient image reconstruction algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(8): 1489-1494. doi: 10.13700/j.bh.1001-5965.2019.0015(in Chinese)
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Aimed at the influence of the soft field effect on the inverse electrical capacitance tomography (ECT) problem and to solve the problems that the traditional iterative algorithm used to reconstruct images has numerous iteration times, and that the imaging speed is slow, for the first time, biconjugate gradient (BICG) is applied to the capacitance tomography technology. In order to obtain a better reconstruction effect, a BICG and regularization idea are combined to solve the optimal solution of the inverse problem. The experiment was modeled by COMSOL5.3 software and MATLAB 2014a was used for image reconstruction and image evaluation. The images were reconstructed using Tikhonov, Landweber, conjugate gradient (CG), BICG and improved biconjugate gradient algorithm. Experiments show that the effect of the improved biconjugate gradient algorithm is not only better than other iterative algorithms, but also greatly reduces the time required for image reconstruction. The experimental results show that the biconjugate gradient algorithm has better imaging effect in some complicated flow patterns. The error is as low as 0.2, the correlation coefficient is as high as 0.88, the imaging time is reduced to 2.77 s, and the number of iterations is reduced to 20 times.
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