| 基于GMRES和Tikhonov正则化的生物电阻抗图像重建算法 |
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| 引用本文： | 王化祥,范文茹,胡理.基于GMRES和Tikhonov正则化的生物电阻抗图像重建算法[J].生物医学工程学杂志,2009(4). |
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| 作者姓名： | 王化祥 范文茹 胡理 |
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| 作者单位： | 天津大学电气与自动化工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(60532020,50337020,60472077,60301008); 国家科技部支撑计划项目资助(2006BAI03A00) |
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| 摘 要： | 电阻抗层析成像(Electrical impedance tomography,EIT)是利用被测物体场内部电导率分布不均匀性,通过边界注入电流,测量边界电压变化,重构被测场内电导率分布图像。由于EIT测量数据有限,场域存在严重的非线性,导致问题的欠定性。我们介绍了一种新的组合算法,利用GMRES算法生成Krylov子空间,并结合Tik-honov正则化方法进行图像重建。该算法不仅改善了实时性,而且提高了成像质量及鲁棒性。
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| 关 键 词： | 电阻抗层析成像 Tikhonov正则化 Krylov子空间 组合算法 |
A Hybrid Reconstruction Method in Electrical Impedance Tomography Based on GMRES and Tikhonov Regularization |
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| Wang Huaxiang Fan Wenru Hu Li.A Hybrid Reconstruction Method in Electrical Impedance Tomography Based on GMRES and Tikhonov Regularization[J].Journal of Biomedical Engineering,2009(4). |
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| Authors: | Wang Huaxiang Fan Wenru Hu Li |
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| Institution: | Wang Huaxiang Fan Wenru Hu Li(School of Electrical Engineering and Automation,Tianjin University,Tianjin 300072,China) |
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| Abstract: | Electrical impedance tomography (EIT) is a technique for reconstructing the conductivity distribution of measured field owing to its characteristics of being non-homogeneous,of injecting current at the boundary of the measured subject,of measuring the corresponding changes in voltage,and of reconstructing the image of the subject consequently. However,the limited measurement data of EIT,and the serious nonlinearity of the field result in ill-posed problem,and the resolution of reconstructed image is poor. T... |
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| Keywords: | Electrical impedance tomography(EIT) Tikhonov regularization Krylov subspace Hybrid algorithm |
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