基于梯度投影稀疏重建算法的电容层析成像图像重建
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摘要
为解决两相流中存在中心物体、物体比较小或存在多个物体且相距较近时电容层析成像(ECT)重建图像精度较差的问题,基于稀疏分布的流型其介电常数分布满足稀疏性的先验条件,采用梯度投影稀疏重建(GPSRBB)算法进行ECT图像重建。仿真及实验测试结果表明:GPSR-BB算法对于流体中小目标以及复杂流型的图像重建质量较好,重建图像的形状保真度高。
During the process of image reconstruction for electrical capacitance tomography,the permittivity of sparse distribution flow regime meets the priori condition of sparsity,the ECT image reconstruction algorithm based on Barzilai-Borwein gradient projection for sparse reconstruction( GPSR-BB) was presented to solve the problem that the reconstructed image is poor when there is a central object,the object is small or there are many objects close to each other in the two-phase flow. Simulation and experimental results showed that GPSR-BB algorithm has a better imaging effect for image reconstruction of small and complex flow patterns,and the reconstructed images with better shape fidelity can be obtained.
During the process of image reconstruction for electrical capacitance tomography,the permittivity of sparse distribution flow regime meets the priori condition of sparsity,the ECT image reconstruction algorithm based on Barzilai-Borwein gradient projection for sparse reconstruction( GPSR-BB) was presented to solve the problem that the reconstructed image is poor when there is a central object,the object is small or there are many objects close to each other in the two-phase flow. Simulation and experimental results showed that GPSR-BB algorithm has a better imaging effect for image reconstruction of small and complex flow patterns,and the reconstructed images with better shape fidelity can be obtained.
引文
[1]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.
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[7] Ye J M,Wang H G. Image reconstruction for electrical capacitance tomography based on sparse representation[J]. IEEE Transactions on Instrumentation and Measurement,2015,64(1):89-102.
[8]常甜甜,魏雯婷,丛伟杰.电阻抗成像的稀疏重建算法[J].西安邮电大学学报,2013,18(2):92-96.Chang T T,Wei W T,Cong W J. Electrical impedance tomography based on sparse reconstruction[J]. Journal of Xi'an University of Post and Telecom,2013,18(2):92-96.
[9] Figueiredo M A T,Nowak R D,Wright S J. Gradient projection for sparse reconstruction[J]. IEEE Journal of Selected Topics in Signal Processing,2007,1(4):586-597.
[10]张立峰.电学层析成像激励测量模式及图像重建算法研究[D].天津:天津大学,2010.
[2]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.
[3]王丕涛,王化祥,孙犇渊.基于l1范数的电容层析成像图像重建算法[J].中国电机工程学报,2015,35(18):4709-4714.Wang P T,Wang H X,Sun B Y. l1-norm-based Image Reconstruction Algorithm for Electrical Capacitance Tomography[J]. Proceedings of the CSEE,2015,35(18):4709-4714.
[4]陈德运,陈宇,王莉莉,等.基于改进Gauss-Newton的电容层析成像图像重建算法[J].电子学报,2009,37(4):739-743.Chen D Y,Chen Y,Wnag L L,et al. A Novel GaussNewton Image Reconstruction Algorithm for Electrical Capacitance Tomography System[J]. Acta Electronica Sinica,2009,37(4):739-743.
[5]马敏,郭琪,闫超奇,等.基于l2,p—范数的CT图像重建算法[J].计量学报,2017,38(5):611-615.Ma M,Guo Q,Yan C Q,et al. l2,p—norm Based on the Image Reconstruction Algorithm for ECT[J]. Acta Metrologica Sinica,2017,38(5):611-615.
[6]张立峰,刘昭麟,田沛.基于压缩感知的电容层析成像图像重建算法[J].电子学报,2017,45(2):353-358.Zhang L F,Liu Z L,Tian P. Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Compressed Sensing[J]. Acta Electronica Sinica,2017,45(2):353-358.
[7] Ye J M,Wang H G. Image reconstruction for electrical capacitance tomography based on sparse representation[J]. IEEE Transactions on Instrumentation and Measurement,2015,64(1):89-102.
[8]常甜甜,魏雯婷,丛伟杰.电阻抗成像的稀疏重建算法[J].西安邮电大学学报,2013,18(2):92-96.Chang T T,Wei W T,Cong W J. Electrical impedance tomography based on sparse reconstruction[J]. Journal of Xi'an University of Post and Telecom,2013,18(2):92-96.
[9] Figueiredo M A T,Nowak R D,Wright S J. Gradient projection for sparse reconstruction[J]. IEEE Journal of Selected Topics in Signal Processing,2007,1(4):586-597.
[10]张立峰.电学层析成像激励测量模式及图像重建算法研究[D].天津:天津大学,2010.