Abstract:Image reconstruction of electrical capacitance tomography is a nonlinear and ill-posed inverse problem. Robust regularized extreme learning machine combined with iterative reweighted least squares is proposed for the image reconstruction of electrical capacitance tomography. Oil/gas two-phase flow is selected as research object, and the randomly distribution flow regimes are obtained using finite element simulation. RELM-IRLS network is trained, and the reconstructed images are compared with Landweber iterative algorithm and extreme learning machine algorithm. The average error of the test set of the RELM-IRLS algorithm is reduced by 4.6% compared with extreme learning machine algorithm. Simulation and static experiment results show that the quality of the reconstructed images is improved obviously using RELM-IRLS algorithm, which also has good generalization ability.
[1]张立峰, 朱炎峰. 电容层析成像系统阵列电极三维优化设计[J]. 计量学报, 2020, 41(8): 947-952.
Zhang L F, Zhu Y F. Three-dimensional optimization design of array electrodes for electrical capacitance tomography system[J]. Acta Metrologica Sinica, 2020, 41(8): 947-952.
[2]温银堂, 贾瑶, 张玉燕, 等. 基于改进ECT的隔热材料胶层无损检测研究[J]. 仪器仪表学报, 2016, 37(7): 1596-1602.
Wen Y T, Jia Y, Zhang Y Y, et al. Research on non-destructive testing of thermal insulation material adhesive layer based on improved ECT[J]. Chinese Journal of Scientific Instrument, 2016, 37(7): 1596-1602.
[3]Sun S J, Xu L J, Cao Z, et al. Signal Demodulation Methods for Electrical Tomography: A Review[J]. IEEE Sensors Journal, 2019, 19(20): 9026-9035.
[4]张立峰, 蒋玉虎. 电容层析成像三维图像重建研究[J]. 计量学报, 2019, 40(3): 462-465.
Zhang L F, Jiang Y H. Study on 3D Image Reconstruction of Electrical Capacitance Tomography[J]. Acta Metrologica Sinica, 2019, 40(3): 462-465.
[5]Gao X, Cao Z, Tian Y, et al. Inverse Radon Method Based on Electrical Field Lines for Dual-Modality Electrical Tomography [J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(10): 8250-8260.
[6]Huang G B, Zhu Q Y, Siew C K. Extreme Learning Machine: Theory and Applications[J]. Neurocomputing, 2006, 70(1-3): 489-501.
[7]Huang G B, Zhu Q Y, Siew C K. Extreme learning machine: a new learning scheme of feedforward neural networks[J]. IEEE International Joint Conference on Neural Networks, 2004, 2: 985-990.
[8]Huang G B, Chen L. Enhanced Random Search Based Incremental Extreme Learning Machine[J]. Neurocomputing, 2008, 71(16-18): 3460-3468.
[9]张立峰, 朱炎峰. 极限学习机在电容层析成像中的应用[J]. 电测与仪表, 2020, 57, (9): 146-152.
Zhang L F, Zhu Y F. The application of extreme learning machine in electrical capacitance tomography[J]. Electrical Measurement and Instrumentation, 2020, 57(9): 146-152.
[10]Chen K, Lü Q, Lu Y, et al. Robust regularized extreme learning machine for regression using iteratively reweighted least squares[J]. Neurocomputing, 2017, 230: 345-358.
[11]张立峰, 王化祥. 基于SVM及电容层析成像的两相流流型识别[J]. 仪器仪表学报, 2009, 30(4): 812-816.
Zhang L F, Wang H X. Identification of two-phase flow regime based on support vector machine and electrical capacitance tomography technique[J]. Chinese Journal of Scientific Instrument, 2009, 30(4): 812-816.
[12]张立峰, 朱炎峰. 基于MO-PLP-ELM及电容层析成像的两相流流型辨识[J]. 计量学报, 2021, 42(3): 334-338.
Zhang L F, Zhu Y F. Identification of Two-phase Flow Based on MO-PLP-ELM and Electrical Capacitance Tomography[J]. Acta Metrologica Sinica, 2021, 42(3):334-338.
[13]张立峰, 李佳, 田沛. Kalman滤波在电容层析成像图像重建中的应用[J]. 计量学报, 2017, 38(3): 315-318.
Zhang L F, Li J, Tian P. Application of Kalman Filter for Image Reconstruction of Electrical Capacitance Tomography[J]. Acta Metrologica Sinica, 2017, 38(3): 315-318.
[14]Ye J M, Yang W Q, Wang C. Investigation of Spatial Resolution of Electrical Capacitance Tomography Based on Coupling Simulation[J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(11): 8919-8929.
[15]Zhao J Y, Xu L J, Cao Z. Direct Image Reconstruction for Electrical Capacitance Tomography Using Shortcut D-Bar Method[J]. IEEE Transactions on Instrumentation and Measurement, 2019, 68(2): 483-492.
[16]Cui Z Q, Xia Z H, Wang H X. Electrical Capacitance Tomography Sensor Using Internal Electrodes[J]. IEEE Sensors Journal, 2020, 20(6): 3207-3216.
[17]Wang C, Guo Q, Wang H X, et al. ECT Image Reconstruction Based on Alternating Direction Approximate Newton Algorithm[J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(7): 4873-4886.
[18]张立峰, 刘晶, 田沛. 一种电容层析成像系统电极组合激励测量方法[J]. 计量学报, 2017, 38(4): 469-472.
Zhang L F, Liu J, Tian P. An Exciting-measuring Mode for Electrical Capacitance Tomography System[J]. Acta Metrologica Sinica, 2017, 38(4): 469-472.