基于压缩感知算法的平面电容成像图像重建  

Image Reconstruction of Planar Electrical Capacitance Tomography Based on Compressed Sensing Algorithm

作　　者：张立峰[1] 张博雄 华回春 ZHANG Li-feng;ZHANG Bo-xiong;HUA Hui-chun(Department of Automation,North China Electric Power University,Baoding,Hebei 071003,China;Department of Mathematics and Physics,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 [2]华北电力大学数理系,河北保定071003

出　　处：《计量学报》2023年第8期1222-1228,共7页Acta Metrologica Sinica

基　　金：国家自然科学基金(61973115)。

摘　　要：提出了一种用于平面电容成像的压缩感知图像重建算法。根据平面阵列电极电容值与电极间距离的关系,对独立测量值数量进行了删减。针对图像重建的病态性及缺陷模型介电常数分布稀疏性,将基于压缩感知理论的梯度投影(GPSR-BB)算法应用于平面电容成像图像重建,进行了复合材料缺陷检测的仿真及实测实验,并与LBP、Tikhonov正则化及Landweber迭代算法进行比较,结果表明,提出的GPSR-BB算法重建图像质量得到明显提高。Image reconstruction algorithm based on compressed sensing theory is proposed for planar electrical capacitance tomography(PECT).According to the relation between capacitance measurements of the planar array electrode and the distance between the electrode pairs,the number of independent measurements is cut down.Based on the ill conditioned characteristics of image reconstruction and the sparsity of dielectric constant of defect model,the gradient projection(GPSR-BB)algorithm based on compressive sensing theory is applied to PECT.The simulation and experiment of composite defect detection are carried out using GPSR-BB algorithm and compared with LBP algorithm,Tikhonov regularization algorithm and Landweber algorithm.Results show that the quality of reconstructed images is obviously improved.

关 键 词：计量学 平面电容成像 图像重建 压缩感知 多相流分布 

分 类 号：TB937[一般工业技术—计量学]