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中文摘要：
为了提高电容层析成像的速度和质量,将收敛速度较快的Tikhonov迭代法应用于电容层析成像.Tikhonov迭代法的难点在于正则化系数的选取,通过对其正则化作用的分析,提出利用对灵敏场的奇异值分解,选取最大奇异值作为正则化系数,从而保证算法收敛的稳定性;同时为了提高收敛速度,将线性反演算法（LBP）计算所得的灰度作为迭代的初始值.结果表明：该正则化系数具有更高的稳定性和收敛速度;Tikhonov迭代法与Landweber迭代法相比具有收敛速度更快,重建图像质量更高的优点.
英文摘要：
To improve the velocity and quality of the electrical capacitance tomography（ECT）,the Tikhonov iterative algorithm is proposed to be used in the ECT.The decision of the regularization coefficient is the difficulty of the Tikhonov iterative algorithm.Based on the analysis of the regularization function,the method of singular value decomposition（SVD） to the sensitivity field is proposed.The maximal singular value of the sensitivity field is used as the regularization coefficient to achieve the stable convergence of the algorithm;meanwhile,to improve the convergence velocity,a gray value calculated by LBP（linear back projection） is used as the original value of the iterative algorithm.The results indicate that the regularization coefficient has higher stability and convergence velocity; the Tikhonov iterative algorithm can obtain faster and better reconstructed images compared with the Landweber iterative algorithm.
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