基于二阶混联灵敏度矩阵的ECT图像重建  

Image Reconstruction of ECT Based on Second-order Hybrid Sensitivity Matrix

作　　者：陈达 张立峰[1] 樊振萍 CHEN Da;ZHANG Lifeng;FAN Zhenping(Department of Automation,North China Electric Power University,Baoding,Hebei 071003,China)

机构地区：[1]华北电力大学自动化系,河北保定071003

出　　处：《计量学报》2024年第8期1147-1154,共8页Acta Metrologica Sinica

基　　金：国家自然科学基金(61973115)。

摘　　要：电容层析成像技术求解图像重建问题属于非线性问题。在灵敏度矩阵的推导过程中,通常只保留灵敏度系数的线性部分,但是被忽略的非线性部分同样包含重要的成像信息。为了提高图像重建精度,基于二阶灵敏度系数的数学定义,结合模糊C-均值聚类算法和电场中心线理论,建立了二阶混联灵敏度矩阵,并将矩阵引入到Landweber算法中,提出了二阶Landweber算法;最后,进行仿真和静态实验,并与传统的Tikhonov算法和一阶Landweber算法进行对比,结果表明,二阶混联灵敏度矩阵可以提高图像重建精度。The use of electrical capacitance tomography technology to solve image reconstruction problems is a nonlinear problem.Usually,only the linear part of the sensitivity coefficients is preserved in the derivation process of sensitivity.However,the neglected nonlinear part also contains important imaging information.In order to improve the accuracy of image reconstruction,a second-order hybrid sensitivity matrix is established based on the mathematical definition of the second-order sensitivity coefficient,combined with fuzzy C-means clustering algorithm and electric field center line theory,and the matrix is introduced into the Landweber algorithm,proposing the second-order hybrid Landweber algorithm.Finally,simulation and static experiments are conducted and compared with the traditional Tikhonov and first-order Landweber algorithm,the results show that the second-order hybrid sensitivity matrix can improve the image reconstruction accuracy.

关 键 词：电容层析成像 图像重建 电场中心线 模糊C-均值聚类算法 二阶混联灵敏度矩阵 

分 类 号：TB937[一般工业技术—计量学]