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《Journal of Southeast University(Natural Science Edition)》 2010-03
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Application of optimized Tikhonov iterative algorithm for electrical capacitance tomography

Gao Heming Xu Chuanlong Wang Shimin(School of Energy and Environment,Southeast University,Nanjing 210096,China)  
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.
【Fund】: 教育部博士点新教师基金资助项目(200802861005);; 国家自然科学基金资助项目(50836003 50906012);; 国家重点基础研究专项经费资助项目(2010CB227002)
【CateGory Index】: TP391.41
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