基于改进Runge-Kutta型landweber的电容层析成像图像重建算法

摘要

针对电容层析成像( ECT)技术中的“软场”效应和病态问题，提出了一种改进的Runge-Kutta型landweber的电容层析成像算法。在分析ECT系统基本原理的基础上，推导出了解决电容层析成像问题的改进Runge-Kutta型landweber算法的数学模型，并采用迭代误差的单调性对算法的收敛性进行了分析。在此基础上探讨了ECT应用该算法的可行性，算法满足收敛条件且重建图像误差小。仿真和实验结果表明，该算法和LBP、landweber、最速下降法和共轭梯度算法相比，该算法兼备成像质量高、稳定性好等优点。%To solve the‘soft-field' nature and the ill-posed problem in electrical capacitance tomography ( ECT) technology, an improved Runge-Kutta type landweber image reconstruction algorithm for electri-cal capacitance tomography was presented. On analysis of the basic principles of the ECT system, mathe-matical model of improved Runge-Kutta the type landweber algorithm was deduced to solve the problem of electrical capacitance tomography, and the convergence of the algorithm by the monotony of the iterative error was analyzed. The feasibility of using this algorithm for ECT problems was also discussed. It shows that it is easy to meet the convergence condition and error of image reconstruction is small. Experimental results and simulation data indicate that the algorithm can provide high quality images and favorable stabi-lization compared with linear back projection(LBP), landweber, steepest descent(SD) and conjugate gradient( CG) algorithms and this new algorithm is feasible and effective.