基于多项式加速的电容层析成像图像重建算法

Image reconstruction algorithm accelerated by polynomial for electrical capacitance tomography system

针对普通迭代方法收敛速度慢的问题,提出一种多项式加速的正则化迭代电容层析成像算法来加快其收敛速度。在介绍12电极电容层析成像系统基本原理的基础上,给出了该算法的数学模型,并利用谱分析对该算法的收敛性进行了证明。探讨了ECT应用该算法的可行性,该算法易满足收敛条件且重建图像误差小。仿真和实验结果表明,和LBP、Landweber算法相比,该算法兼备成像质量高及收敛速度快等优点,为ECT图像重建算法的研究提供了一个新的思路。

To speed up the slow convergence rate of ordinary iteration method, a novel regularization image reconstruction algorithm accelerated by polynomials for electrical capacitance tomography is presented. After introducing the mechanism of the 12-electrode electrical capacitance tomography system, a mathematic model for this algorithm is presented and its convergence characteristic is proved via spectrum analysis principle. The feasibility of using this algorithm for ECT is also discussed. This method is easy to meet the convergence condition and the image reconstruction error is small. Experiment results and simulation data indicate that the algorithm can provide high quality images with less reconstruction time and few iteration steps compared with LBP and Landweber algorithms, and present a feasible and effective way to the research of image reconstruction algorithms for electrical capacitance tomography system.