基于CS-GPSR的电容层析成像图像重建算法  

Image reconstruction algorithm for electrical capacitance tomography based on CS-GPSR

作　　者：田沛[1,2] 刘昭麟[2] 张立峰[2] TIAN Pei LIU Zhao-lin ZHANG Li-feng(Hebei Engineering Research Center of Simulation ＆ Optimized Control for Power Generation, Baoding 071003, China Department of Automation, North China Electric Power University, Baoding 071003, China)

机构地区：[1]河北省发电过程仿真与优化控制工程技术研究中心,河北保定071003 [2]华北电力大学自动化系,河北保定071003

出　　处：《传感器与微系统》2017年第3期136-139,共4页Transducer and Microsystem Technologies

基　　金：国家自然科学基金资助项目(51306058);中央高校基本科研业务费专项项目(2014MS142)

摘　　要：提出将基于压缩感知(CS)理论的稀疏梯度投影(GPSR)算法应用于电容层析成像(ECT)图像重建过程中。采用离散Fourier变换(DFT)基将原始图像灰度信号进行稀疏化处理;将ECT灵敏度矩阵的各行按随机顺序进行排列,得到ECT系统观测矩阵,同时将测量电容向量的各行按相同顺序进行排列,得到观测投影向量;使用GPSR算法进行图像重建。仿真实验结果表明:基于CS理论的GPSR(CS-GPSR)算法重建图像质量明显优于LBP算法和Landweber迭代算法。本文所述算法可实现较高精度的图像重建,为ECT图像重建的研究提供了一种新的手段。Gradient projection for spare reconstruction（ GPSR） algorithm based on compressed sensing（ CS）theory is applied to electrical capacitance tomography（ ECT） image reconstruction. Use orthogonal basis of discrete Fourier transformation（ DFT）,the gray signals of original images can be transformed into sparse signals.Measurement matrix of ECT system is designed by rearranging the rows of the sensitivity matrix of ECT in a random order and the measurement projection vector is designed by rearranging the rows of the capacitance value vector in the same order. The GPSR algorithm is used for image reconstruction. The simulation results show that the quality of the reconstructed images are better than the corresponding images obtained by the LBP algorithm and the Landweber algorithm. The proposed algorithm can achieve higher precision of ECT image reconstruction and provide a new method for the research of ECT image reconstruction.

关 键 词：电容层析成像 图像重建 压缩感知稀疏梯度投影 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]