基于改进信赖域方法的EIT边界图像重构

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (714 KB)
输出: BibTeX | EndNote (RIS)

摘要针对单调信赖域算法在电阻抗断层成像图像重构中存在的不足,本文提出了一种改进信赖域算法。该算法引入了非单调技术,使得目标函数无需在每一步都保持下降；当试探步不被接受时无需重新求解子问题,而是按照新的调节步长寻找下一个迭代点；信赖域半径的调节利用了当前迭代点的梯度和海赛矩阵信息,具有自适应性。数值实验表明：对边界图像重构中LM算法和单调信赖域算法难以精确重构的凹边界、多边界,改进信赖域算法能实现精确重构,且重构图像精度高、重构速度快。本算法为电阻抗断层成像图像重构的研究提供了一种可行且有效的新方法。

	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
	谭春晓
	徐桂芝
	苏国忠
	徐遥远

关键词 ：电阻抗断层成像, 边界图像重构, 信赖域方法, 非单调, 自适应

Abstract：Aiming at the drawback of monotonic trust region method in image reconstruction of Electrical Impedance Tomography, a modified trust region method is proposed in this paper. In this method, a nonmonotonic method is used to insure that the goal-function does not have to at each iteration. The trust region subproblem is not solved again when the trial step is not accepted, while searching next iteration step according to the new adjustment step. The trust region radius is self-adaptive because of using the gradient and Hessian matrix information of current iteration step. Simulation results show that LM method and monotonic trust region method can not reconstruct the concave boundary and many boundaries exactly. Whereas, the modified trust region method can reconstruct them very good and has good quality of the reconstructed image and faster speed of image reconstruction. This new method presents a feasible and effective way to the research on image reconstruction for Electrical Impedance Tomagraphy.

Key words： keywords：Electrical impedance tomography boundary image reconstruction trust region method nonmonotonic self-adaptive

收稿日期: 2012-09-20 出版日期: 2013-12-12

PACS:

TM154

作者简介: 谭春晓女，1976年生，博士研究生，讲师，主要从事生物医学电磁场数值计算、反问题数值解法与优化方面的研究工作。徐桂芝女，1962年生，博士生导师，教授，研究方向为生物医学电磁学、无接触电能传输技术。

引用本文:

谭春晓, 徐桂芝, 苏国忠, 徐遥远. 基于改进信赖域方法的EIT边界图像重构[J]. 电工技术学报, 2013, 28(1增): 81-86. Tan Chunxiao, Xu Guizhi, Su Guozhong, Xu Yaoyuan. Boundary Image Reconstruction Based on Modified Trust Region Method for Electrical Impedance Tomography. Transactions of China Electrotechnical Society, 2013, 28(1增): 81-86.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2013/V28/I1增/81

[1] 马磊, 严碧歌, 孙渭玲. 电阻抗断层成像技术进展[J]. 现代生物医学进展, 2007, (5): 780-782.
Ma Lei, Yan Bige, Sun Weiling. Progress on electrical impedance tomography[J]. Progress in Modern Biomedicine, 2007, (5): 780-782.
[2] Wang Yanfei, Yuan Yaxiang, Zhang Hongchao. A trust region-CG algorithm for deblurring problem in atmospheric image reconstruction[J]. Science in China A, 2002, 45(6): 731-740.
[3] Binley A, Daily W, Ramirez A. Detecting leaks from waste storage ponds using electrical tomographic methods[C]. Proceedings of the 1st Word Congress on Industrial Process Tomography, Buxton, UK, 1999: 6-13.
[4] Rashid A, Kim B S, Khambampati A K, et al. An oppositional biogeography-based optimi- zation technique to reconstruct organ boundaries in the human thorax using electrical impedance tomography [J], Physiological Measurements, 2011, 32, 767-796.
[5] Lee Eunjung, Ts Munkh-Erdene, Jin Keun Seo, et al. Breast EIT using a new projected image recons- truction method with multi-frequency Measurements [J]. Physiological Measurements, 2012, 33, 751-765.
[6] 王宏斌, 徐桂芝, 张帅,等. 节点反投影方法在三维EIT 模型中的仿真与实验研究[J]. 中国生物医学工程学报, 2011, 30(5): 718-724.
Wang Hongbin, Xu Guizhi, Zhang Shuai, et al. Simulation and experimental study of node back projection algorithm in 3D EIT model[J]. Chinese Journal of Biomedical Engineering, 2011, 30(5): 718-724.
[7] 罗辞勇, 朱清友. 改进的电阻抗反投影成像算法[J]. 重庆大学学报, 2009, 32(3): 243-246.
Luo Ciyong, Zhu Qingyou. An improved back- projection algorithm for Electrical Impedance Tomography[J]. Journal of Chongqing University, 2009, 32(3): 243-246.
[8] 王化祥, 王超, 陈磊. 基于Landweber迭代的图像重建算法[J]. 信号处理, 2000, 16(4): 354-356.
Wang Huaxiang, Wang Chao, Chen Lei. An image reconstruction algorithm based on the landweber iteration method[J]. Signal Processing, 2000, 16(4): 354-356.
[9] Yuan Y. On the truncated conjugate gradient method [J]. Math.Prof.. 2000, 87(3): 561-573.
[10] 孙进平, 程吉宽, 杜岩. 电阻抗成像的修正阻尼最小二乘重建算法[J]. 电路与系统学报, 2000, 5(2): 47-51.
Sun Jinping, Cheng Jikuang, Du Yan. A modified least square image reconstruction algorithm in electrical impedance tomography[J]. Journal of Circuits and Systems, 2000, 5(2): 47-51.
[11] 肖理庆, 王化祥, 徐晓菊. 改进牛顿-拉夫逊电阻层析成像图像重建算法[J]. 中国电机工程学报, 2012, 32(8): 91-97.
Xiao Liqing, Wang Huaxiang, Xu Xiaoju. Improved newton-raphson algorithm for electrical resistance tomography image reconstruction[J]. Proceedings of the CSEE, 2012, 32(8): 91-97.
[12] 袁亚湘, 孙文瑜. 最优化理论与方法[M]. 北京: 科学出版社, 1997.
[13] 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.
[14] Wu Qingjun. Nonmonotone trust region algorithm for unconstrained optimization problems[J]. Applied Mathematics and Computation, 2010, 217, 4274-4281.
[15] Zhaoyang Sang, Qingying Sun. A self-adaptive trust region method with line search based on a simple subproblem model[J]. Journal of Computational and Applied Mathematics, 2009, 232, 514-522.
[16] Goharian M, Soleimani M, Moran G R. A trust region subproblem for 3D electrical impedance tomography inverse problem using experimental data [J]. Progress in Electromagnetics Research, 2009, 94, 19-32.