一种具有迭代约束的最小二乘 ECT图像重建算法 *

针对电容层析成像系统中的 “软场 ”效应和病态问题 ,将最小二乘法和迭代法相结合 ,提出了一种最小二乘约束迭代的图像重建算法。给出了算法的数学模型 ,完成了算法的收敛性分析和证明 ,算法在图像重建中使迭代步长在保证收敛的情况下达到最优。仿真和实验结果表明 ,该方法与最小二乘法相比 ,具有更稳定、成像效果好等特点 ,为 ECT图像重建提供了一种新的有效方法。

Least squares image reconstruction algorithms restricted by iterative method for electrical capacitance tomography system

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.