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Least squares image reconstruction algorithms restricted by iterative method for electrical capacitance tomography system
一种具有迭代约束的最小二乘 ECT图像重建算法 *

Keywords: electrical capacitance tomography( ECT),least squares method,image reconstruction,inverse problems,itera-tive method
电容层析成像
,最小二乘法,图像重建,逆问题,迭代法

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Abstract:

To solve the soft-field nature and the ill-posed problem in electrical capacitance tomography technology, on the ba-sis of combining the least squares method and iterative algorithm, this paper presented a least squares image reconstruction al-gorithm restricted by iterative method for electrical capacitance tomography. Presented a mathematic model for the algorithm and proved its convergence characteristic, this image reconstruction algorithmmade the iteration step was optimal on the prem-ise of convergence. Experiment results and simulation data indicate that the algorithm is more stable and the precision of image is higher compared with least squares method, and presents a feasible and effective way to the research of image reconstruction algorithms for electrical capacitance tomography system.

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