Abstract：Tikhonov regularization method can resolve the ill-posedness of the inverse problem and balance the stability and accuracy of the solution in electrical capacitance tomography image reconstruction. However, its effectiveness can be seriously affected by the gross error of measurement data. Improved Tikhonov regularization method combines 2-norm and robust estimation, substitute a slower-growing Cauchy function for the quadratic sum in the least square method to further improve the robustness and adaptability of least square estimation. The effectiveness of the developed method is verified by COMSOL and MATLAB software. Reconstruction results demonstrate that the improved Tikhonov regularization method can effectively reduce influence of the gross error and improve image reconstruction accuracy and spatial resolution.
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2018, Vol. 39 
