基于双参数模型的ECT图像重构混合算法

摘要
图/表
参考文献
相关文章 (6)

全文: PDF (422 KB)
输出: BibTeX | EndNote (RIS)

摘要为了提高电容层析成像重构图像的精度和速度, 本文提出了一种基于双参数模型的电容层析成像图像重构混和算法。该算法利用Morozov偏差原理确定Tikhonov正则参数, 能使正则参数的选取与初始数据的误差相匹配, 同时基于Morozov偏差方程导出了一种双参数模型, 并进一步与牛顿法相结合用于快速得到最优的正则参数。数值实验表明：与线形反投影算法(LBP)、Landweber迭代算法和L-曲线法相比, 所提出的混合算法具有图像重构速度快、精度高的优点。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	李翠环
	汪友华
	耿读艳
	杨晓光

关键词 ：电容层析成像, 图像重构, 正则参数, 双参数模型, Morozov偏差原理, 混合算法

Abstract：To improve the image reconstruction speed and quality, a hybrid algorithm based on two-parameter model for electrical capacitance tomography(ECT) image reconstruction is proposed. Morozov discrepancy principle is used to choose Tikhonov regularization parameter which states that the regularization parameter should be chosen such that the error due to the regularization is equal to the error due to the observation data. To obtain an optimal regularization parameter rapidly, two-parameter model is derived based on Morozov discrepancy equation and further combined with Newton method. Simulation results show that the speed of image reconstruction is improved and the quality of the reconstructed image is better than other image reconstruction algorithms such as linear back-projection(LBP), Landweber algorithm and L-curve method.

Key words： Electrical capacitance tomography image reconstruction regularization parameter two-parameter model Morozov discrepancy principle hybrid algorithm

收稿日期: 2011-12-30 出版日期: 2014-03-20

PACS:

TM930

基金资助:河北省自然科学基金(E2007000048、E2012202012)资助项目。

作者简介: 李翠环女, 1975年生, 讲师, 博士研究生, 主要从事电磁场数值计算、反问题数值解法与优化方面的研究工作。汪友华男, 1964年生, 教授, 博士生导师, 主要从事工程电磁场综合效应、全局优化方法方面的研究。

引用本文:

李翠环, 汪友华, 耿读艳, 杨晓光. 基于双参数模型的ECT图像重构混合算法[J]. 电工技术学报, 2012, 27(4): 24-29. Li Cuihuan, Wang Youhua, Geng Duyan, Yang Xiaoguang. Hybrid Algorithm Based on Two-parameter Model for Electrical Capacitance Tomography Image Reconstruction. Transactions of China Electrotechnical Society, 2012, 27(4): 24-29.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2012/V27/I4/24

[1] Matusiak B, da Silva M J, Hampel U, et al. Measurement of dynamic liquid distributions in a fixed bed using electrical capacitance tomography and capacitance wire-mesh sensor[J]. Industrial & Engineering Chemistry Research, 2010, 49(5): 2070-2077.
[2] Hyenkyun Woo, Sungwhan Kim, Seo, et al. Electrical capacitance tomography for visualizing the flow of a mixture of high/low conducting components[J]. Inverse Problems in Science & Engineering, 2010, 18(5): 691-709.
[3] 姜凡, 刘靖, 刘石, 等. 电容层析成像技术应用于冰水两相测试研究[J]. 中国电机工程学报, 2010, 30(5): 49-53.
Jiang Fan, Liu Jing, Liu Shi, et al. Measurement of ice-water two phase using electrical capacitance tomography[J], Proceedings of the CSEE, 2010, 30(5): 49-53.
[4] Liu S, Li J T, Chen Q. Visualization of flow pattern in thermosyphon by ECT[J]. Flow Measurement and Instrumentation, 2007, 18: 216-222.
[5] 王化祥, 唐磊, 崔自强. 油／气两相流高速电容层析成像可视化系统[J]. 中国电机工程学报, 2009, 29(5): 61-65.
Wang Huaxiang, Tang Lei, Cui Ziqiang. A high-speed ECT visualization system for oil/gas two-phase flow[J], Proceedings of the CSEE, 2009, 29(5): 61-65.
[6] Yang W Q, Peng Lihui. Image reconstruction algorithms for electrical capacitance tomography[J]. Measurement Science and Technology, 2003, 14(1): 1-13.
[7] 王化祥, 朱学明, 张立峰. 用于电容层析成像技术的共轭梯度法[J]. 天津大学学报, 2005, 38(1): 1-4.
Wang Huaxiang, Zhu Xueming, Zhang Lifeng. Conjugate gradient algorithm for electrical capacitance tomography[J]. Journal of Tianjin University, 2005, 38(1): 1-4.
[8] 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 Deyun, Chen Yu, Wang Lili, et al. A novel gauss-newton image reconstruction algorithm for electrical capacitance tomography system[J]. Acta Electronica Sinica, 2009, 37(4): 739-743.
[9] 陈宇, 陈德运, 王莉莉, 等.基于多项式加速的电容层析成像图像重建算法[J]. 仪器仪表学报, 2008, 29(12): 2538-2542.
Chen Yu, Chen Deyun, Wang Llili, et al. Image reconstruction algorithm accelerated by polynomial for electrical capacitance tomography system[J]. Chinese Journal of Scientific Instrument, 2008, 29(12): 2538-2542.
[10] 张立峰, 王化祥. 基于小波神经网络的电容层析成像图像重建算法[J]. 中国电机工程学报, 2008, 28(35):39-43.
ZHang Lifeng, Wang Huaxiang. Image reconstruction algorithm for electrical capacitance tomography based on wavelet neural networks[J]. Proceedings of the CSEE, 2008, 28(35): 39-43.
[11] 王莉莉, 陈宇, 陈德运, 等. 基于改进信赖域的电容层析成像图像重建算法[J]. 仪器仪表学报, 2010, 31(5): 1077-1081.
Wang Lili, Chen Yu, Chen Deyun, et al. Improved trust region based image reconstruction algorithm for electrical capacitance tomography system[J]. Chinese Journal of Scientific Instrument, 2010, 31(5): 1077-1081.
[12] Cuihuan Li, Xiaoguang Yang, Youhua Wang. Image reconstruction algorithm based on fixed-point iteration for electrical capacitance tomography[J]. Lecture Notes in Electrical Engineering, 2011, 100: 325-332.
[13] 雷兢, 刘石, 李志宏. 一个基于1范数的电容层析成像图像重建迭代算法[J]. 仪器仪表学报, 2008. 29(7): 1355-1358.
Lei Jing, Liu Shi, Li Zhihong. Image reconstruction iteration algorithm based on 1-norm for electrical capacitance tomography[J]. Chinese Journal of Scientific Instrument, 2008, 29(7): 1355-1358.
[14] 孙宁, 彭黎辉, 张宝芬. 近似最优正则化参数方法在电容成像图像重建中的应用[J]. 数据采集与处理, 2004, 19(4): 429-432.
Sun Ning, Peng Lihui, Zhang Baofen. Tikhonov regularization based on near-optimal regularization parameter with application to capacitance tomography image reconstruction[J]. Journal of Data Acquisition & Processing, 2004, 19(4): 429-432.
[15] 王化祥, 何永勃, 朱学明. 基于L-曲线法的电容层析成像正则参数优化[J]. 天津大学学报, 2006, 39(3): 306-309.
Wang Huaxiang, He Yongbo, Zhu Xueming. Regularization parameter optimum of electrical capacitance tomography based on L-curve method[J]. Journal of Tianjin University, 2006, 39(3): 306-309.
[16] 肖庭延, 于慎根, 王彦飞. 反问题的数值解法[M]. 北京: 科学出版社, 2003.
[17] Ito K, Kunisch K. On the choice of the regularization parameter in nonlinear inverse problems[J]. SIAM Journal on Optimization. 1992, 2: 376-404.