[1]高鹤明,许传龙,王式民.优化Tikhonov迭代法在电容层析成像中的应用[J].东南大学学报(自然科学版),2010,40(3):527-532.[doi:10.3969/j.issn.1001-0505.2010.03.018]
 Gao Heming,Xu Chuanlong,Wang Shimin.Application of optimized Tikhonov iterative algorithm for electrical capacitance tomography[J].Journal of Southeast University (Natural Science Edition),2010,40(3):527-532.[doi:10.3969/j.issn.1001-0505.2010.03.018]
点击复制

优化Tikhonov迭代法在电容层析成像中的应用()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
40
期数:
2010年第3期
页码:
527-532
栏目:
其他
出版日期:
2010-05-20

文章信息/Info

Title:
Application of optimized Tikhonov iterative algorithm for electrical capacitance tomography
作者:
高鹤明 许传龙 王式民
东南大学能源与环境学院, 南京 210096
Author(s):
Gao Heming Xu Chuanlong Wang Shimin
School of Energy and Environment, Southeast University, Nanjing 210096, China
关键词:
电容层析成像 Tikhonov迭代法 奇异值 正则化 图像重建
Keywords:
electrical capacitance tomography Tikhonov iterative algorithm singular value regularization image reconstruction
分类号:
TB934
DOI:
10.3969/j.issn.1001-0505.2010.03.018
摘要:
为了提高电容层析成像的速度和质量,将收敛速度较快的Tikhonov迭代法应用于电容层析成像.Tikhonov迭代法的难点在于正则化系数的选取,通过对其正则化作用的分析,提出利用对灵敏场的奇异值分解,选取最大奇异值作为正则化系数,从而保证算法收敛的稳定性; 同时为了提高收敛速度,将线性反演算法(LBP)计算所得的灰度作为迭代的初始值.结果表明:该正则化系数具有更高的稳定性和收敛速度; Tikhonov迭代法与Landweber迭代法相比具有收敛速度更快,重建图像质量更高的优点.
Abstract:
To improve the velocity and quality of the electrical capacitance tomography(ECT), the Tikhonov iterative algorithm is proposed to be used in the ECT. The decision of the regularization coefficient is the difficulty of the Tikhonov iterative algorithm. Based on the analysis of the regularization function, the method of singular value decomposition(SVD)to the sensitivity field is proposed. The maximal singular value of the sensitivity field is used as the regularization coefficient to achieve the stable convergence of the algorithm; meanwhile, to improve the convergence velocity, a gray value calculated by LBP(linear back projection)is used as the original value of the iterative algorithm. The results indicate that the regularization coefficient has higher stability and convergence velocity; the Tikhonov iterative algorithm can obtain faster and better reconstructed images compared with the Landweber iterative algorithm.

参考文献/References:

[1] York T.Status of electrical tomography in industrial applications[J].Journal of Electronic Imaging,2001,10(3):608-619.
[2] 姜凡,刘石,王海刚,等.电容层析成像技术在流化床气固两相流测量中的应用[J].动力工程,2004,24(6):832-835.
  Jiang Fan,Liu Shi,Wang Haigang,et al.Study on the application of electric capacitance tomography on the measurement of gas-solid two-phase flows in fluidized beds [J].Power Engineering,2004,24(6):832-835.(in Chinese)
[3] Dyakowski T,Jeanmeure L F C,Jaworski A J.Applications of electrical tomography for gas-solids and liquid-solids flows:a review[J].Powder Technology,2000,112(3):174-192.
[4] Gamio J C,Castro J,Rivera L,et al.Visualisation of gas-oil two-phase flows in pressurized pipes using electrical capacitance tomography[J]. Flow Measurement and Instrumentation,2005,16(2/3):129-134.
[5] Xie C G,Huang S M,Hoyle B S,et al.Electrical capacitance tomography for flow imaging:system model for development of image reconstruction algorithms and design of primary sensors[C] //IEE Proceedings G,1992,139(1):89-97.
[6] 颜华,邵富群,王师.电容层析成像系统图像重建新算法的研究[J].仪器仪表学报,2000,21(4):353-356.
  Yan Hua,Shao Fuqun,Wang Shi.A new reconstruction algorithm for electrical capacitance tomography [J].Chinese Journal of Scientific Instrument,2000,21(4):353-356.(in Chinese)
[7] Yang W Q,Spink D M,York T A,et al.An image reconstruction algorithm based on Landweber iteration method for electrical capacitance tomography[J].Meas Sci Technol,1999,10(11):1065-1069.
[8] Liu Shi,Wang Haigang,Jiang Fan,et al.A new image reconstruction method for tomographic investigation of fluidized beds[J].American Institute of Chemical Engineers,2002,48(8):1631-1638.
[9] Su Bangliang,Zhang Yiheng,Peng Lihui,et al.Use of simultaneous iterative reconstruction technique for electrical capacitance tomography[J].Chemical Engineering Journal,2000,77(1):37-41.
[10] Yan G W Q,Pen G L.Image reconstruction algorithms for electrical capacitance tomography [J].Meas Sci Technol,2003,14(1):12-13.
[11] Pengl H,Merkus H,Scarlett B.Using regularization methods to do image reconstruction of electrical capacitance tomography[J].Part Syst Charact,2000,17(3):96-104.
[12] Jang J D,Lee S H,Kim K Y.Modified iterative Landweber method in electrical capacitance tomography[J].Meas Sci Technol,2006,17(7):1909-1917.
[13] Yang W Q,Spink D M,York T A,et al.An image reconstruction algorithm based on Landweber iteration method for electrical capacitance tomography[J].Meas Sci Technol,1999,10(11):1065-1069.
[14] Su Bangliang,Zhang Yiheng.The use of simultaneous iterative reconstruction technique for electrical capacitance tomography[J].Chemical Engineering Journal,2000,77(1):37-41.
[15] 赵进创,傅文利,张锦雄,等.正则化优化修正的电容层析成像图像重建算法[J].仪器仪表学报,2004,25(1):1-4.
  Zhao Jinchuang,Fu Wenli,Zhang Jinxiong,et al.An image-reconstruction algorithm based on optimization-revision regularization method for electrical-capacitance tomography [J].Chinese Journal of Scientific Instrument,2004,25(1):1-4.(in Chinese)
[16] 黄卡玛,赵翔.电磁场中的逆问题及应用[M].北京:科学出版社,2005.
[17] 王彦飞.反演问题的计算方法及其应用[M].北京:高等教育出版社,2007.
[18] 董向元,刘石,阎润生,等.电容层析成像中通用迭代法的研究[J].仪器仪表学报,2006,27(1):23-27.
  Dong Xiangyuan,Liu Shi,Yan Rongsheng,et al.A general iterative algorithm for image reconstruction with electrical capacitance tomography[J].Chinese Journal of Scientific Instrument,2006,27(1):23-27.(in Chineses)

相似文献/References:

[1]周宾,杨道业,汤光华,等.ECT传感器电势测量方法[J].东南大学学报(自然科学版),2008,38(1):129.[doi:10.3969/j.issn.1001-0505.2008.01.025]
 Zhou Bin,Yang Daoye,Tang Guanghua,et al.Potential measuring method applied in ECT sensor[J].Journal of Southeast University (Natural Science Edition),2008,38(3):129.[doi:10.3969/j.issn.1001-0505.2008.01.025]

备注/Memo

备注/Memo:
作者简介: 高鹤明(1984—),男,博士生; 许传龙(联系人),男,博士,副教授,chuanlongxu@seu.edu.cn.
基金项目: 教育部博士点新教师基金资助项目(200802861005)、国家自然科学基金资助项目(50836003, 50906012)、国家重点基础研究专项经费资助项目(2010CB227002).
引文格式: 高鹤明,许传龙,王式民.优化Tikhonov迭代法在电容层析成像中的应用[J].东南大学学报:自然科学版,2010,40(3):527-532. [doi:10.3969/j.issn.1001-0505.2010.03.018]
更新日期/Last Update: 2010-05-20