基于压缩感知算法的平面电容成像图像重建

张立峰; 张博雄; 华回春

doi:10.3969/j.issn.1000-1158.2023.08.11

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计量学报 ›› 2023, Vol. 44 ›› Issue (8) : 1222-1228. DOI: 10.3969/j.issn.1000-1158.2023.08.11

流量计量

基于压缩感知算法的平面电容成像图像重建

张立峰¹,张博雄¹,华回春²

作者信息 +

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

ZHANG Li-feng¹,ZHANG Bo-xiong¹,HUA Hui-chun²

Author information +

文章历史 +

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。

Abstract

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.

导出引用

张立峰,张博雄,华回春. 基于压缩感知算法的平面电容成像图像重建[J]. 计量学报. 2023, 44(8): 1222-1228 https://doi.org/10.3969/j.issn.1000-1158.2023.08.11

ZHANG Li-feng,ZHANG Bo-xiong,HUA Hui-chun. Image Reconstruction of Planar Electrical Capacitance Tomography Based on Compressed Sensing Algorithm[J]. Acta Metrologica Sinica. 2023, 44(8): 1222-1228 https://doi.org/10.3969/j.issn.1000-1158.2023.08.11

中图分类号： TB937

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