基于自适应模拟退火及LM联合反演算法的ECT图像重建

为解决电容层析成像技术(ECT)中图像重建的非线性和病态性问题,提出了一种自适应模拟退火-Levenberg Marquardt(ASA-LM)联合反演算法.改进了标准模拟退火(SA)算法的新解生成策略、能量函数的定义及退火策略,并结合LM的直接局部搜索方法联合反演ECT图像重建问题.同时,利用Savitzky-Gol...

Image reconstruction for electrical capacitance tomography based on adaptivesimulated annealing and LM joint inversion algorithm

To solve the nonlinear and ill-conditioned problem of image reconstruction in the electrical capacitance tomography (ECT), anadaptive simulated annealing-Levenberg Marquardt ( ASA-LM) joint inversion algorithm is proposed. The new solution generationstrategy, energy function definition and annealing strategy of the standard simulated annealing (SA) algorithm are improved. The directlocal search method of LM is combined to jointly invert the ECT image reconstruction problem. Meanwhile, the Savitzky-Golay ( SG)filter is used to smooth the capacitance data required for ECT image reconstruction to enhance its signal-to-noise ratio. Finally,simulation and static experiments are carried out and compared with linear back projection (LBP), Landweber iteration and standard SAalgorithms. Comparison experiment results show that the ASA-LM algorithm has advantages of high reconstruction image accuracy andfast convergence speed. The image reconstruction quality is significantly improved, and the edge information fidelity is high. The averagerelative error of the reconstructed image is 0. 331 1, and the average correlation coefficient is 0. 933 1.