基于Broyden族校正的电容层析成像图像重建算法  

A Broyden Correction Image Reconstruction Algorithm for Electrical Capacitance Tomography System

作　　者：陈宇[1] 夏宗基 李红波[1] 周雨佳 CHEN Yu;XIA Zong-ji;LI Hong-bo;ZHOU Yu-jia(College of Information and Computer Engineering,Northeast Forestry University,Harbin 150040,China)

机构地区：[1]东北林业大学信息与计算机工程学院

出　　处：《哈尔滨理工大学学报》2019年第3期16-21,共6页Journal of Harbin University of Science and Technology

基　　金：中央高校基本科LBH-Z10273研业务费(2572015DY07);国家自然科学基金(60972127);黑龙江省教育厅科学技术研究项目(12513016);黑龙江省博士后基金;黑龙江省自然科学基金(F201347);哈尔滨市科技创新人才专项资金项目(2013RFQXJ100)

摘　　要：为解决电容层析成像(ECT)图像重建中的"软场"效应和典型的病态问题,提出了一种采用Broyden族校正算法对电容层析成像系统进行图像重建的方法。基于对ECT系统基本原理的研究,推导出实现电容层析成像图像重建的Broyden族校正的数学模型,并采用归纳法分析了算法收敛性。对该算法应用于ECT上的可行性进行了探讨,该算法符合收敛条件且成像精度高。实验结果的数值表明Broyden族校正算法的重建图像效果非常理想,且成像质量优于SD、LBP、Landweber及CG算法,给ECT图像重建领域提供了一种有效的新方法。In electrical capacitance tomography technology,to solve the‘soft-field’nature and the typical illposed problem,a Broyden Correction image reconstruction algorithm is proposed for electrical capacitance tomography system.After the analysis of the basic principles of the ECT system,to solve the problem of electrical capacitance tomography system,we deduced a mathematical model of Broyden Correction algorithm and analyzed the convergence of the algorithm using the monotony of the iterative error.The feasibility of this algorithm solving ECT problems is also discussed.This algorithm meets the convergence condition and the error of image reconstruction is small.Simulation data and experimental results indicate that this algorithm can provide favorable stabilization and high quality images compared with SD,LBP,Landweber and CG and this new algorithm provides a feasible and effective way for ECT image reconstruction field.

关 键 词：电容层析成像 图像重建 迭代算法 Broyden族校正 

分 类 号：TN911.73[电子电信—通信与信息系统]