基于改进Gauss-Newton的电容层析成像图像重建算法

A Novel Gauss-Newton Image Reconstruction Algorithm for Electrical Capacitance Tomography System

针对电容层析成像技术中的"软场"效应和病态问题,在分析Gauss-Newton算法基本原理的基础上,提出了一种基于Gauss-Newton新的电容层析成像算法,采用奇异值分解定理对算法的稳定性进行了证明.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和共轭梯度算法相比,算法兼备成像质量高、稳定性好等优点,为ECT图像重建算法的研究提供了一个新的思路.

To solve the ＂soft-field＂ nature and the ill-posed problem in electrical capacitance tomography technology, a novel image reconstruction algorithm for electrical capacitance tomography is presented. According to the characteristic of the inverse problems of ECT the Gauss-Newton algorithm is improved on the basis of analyzing mechanism of the algorithm,and the stabiliza- tion of the algorithm is proved via singular value decomposition principle. The feasibility of using this algorithm for ECT problems is 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 stabilization compared with LBP, Landweber and conjugate gradient algorithms and this new algorithm presents a feasible and effective way to research on image reconstruction algorithm for Electrical Capacitance Tomography System.