| 基于两步迭代TV正则化的电阻抗图像重建算法 |
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| 引用本文： | 范文茹,王化祥,郝魁红.基于两步迭代TV正则化的电阻抗图像重建算法[J].仪器仪表学报,2012,33(3):625-630. |
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| 作者姓名： | 范文茹 王化祥 郝魁红 |
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| 作者单位： | 1. 中国民航大学航空自动化学院 天津 300300
2. 天津大学电气与自动化工程学院 天津 300072 |
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| 基金项目： | 国家自然科学基金重大国际合作项目(60820106002)、国家自然科学重点基金项目(50937005);科研启动基金(2011QD03S);中央高校基金(ZXH2011C003)资助项目 |
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| 摘 要： | 针对电阻抗层析成像(electrical impedance tomography,EIT)逆问题求解的欠定性和病态性,克服传统基于L2范数的Tikhonov正则化对介质边界的模糊效应,提出一种基于两步迭代的正则化图像重建算法.该算法采用具有良好保边性的总变差(total variation,TV)正则化函数,利用两步迭代法引入TV去噪算子,达到解的双重正则化效果.与传统最小二乘迭代算法、TV相关迭代算法相比,不仅保证了逆问题求解的稳定性,而且进一步提高了非连续分布介质区域成像的分辨能力,具有较好的成像精度.
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| 关 键 词： | 电阻抗层析成像 TV正则化 逆问题 |
Two-step iterative TV regularization algorithm for image reconstruction of electrical impedance tomography |
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| Fan Wenru
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Wang Huaxiang
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Hao Kuihong.Two-step iterative TV regularization algorithm for image reconstruction of electrical impedance tomography[J].Chinese Journal of Scientific Instrument,2012,33(3):625-630. |
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| Authors: | Fan Wenru Wang Huaxiang Hao Kuihong |
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| Affiliation: | 1(1 Aeronautical Automation College,Civil Aviation University of China,Tianjin 300300,China; 2 School of Electrical Engineering and Automation,Tianjin University,Tianjin 300072,China) |
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| Abstract: | To solve the ill-posed problem in electrical impedance tomography(EIT) and overcome the blur effect of medium boundary caused by conventional L2 Tikhonov regularization,a new two-step iterative regularization algorithm is proposed.This algorithm is based on total variation(TV) regularization method and uses a two-step iterative method with TV denoising operator,so it can achieve double regularization effect.Compared with conventional least-square iterative method and TV iterative method,this new algorithm can not only ensure the stability of the reconstruction,but also improve the distinguishability of regional imaging in discontinuous medium distribution.Both simulation and experiment results show that this algorithm has advantages in resolution and robustness. |
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| Keywords: | electrical impedance tomography total variation regularization inverse problem |
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