岳士弘，荣西拉，马海涛，卢剑
AuthorsHTML:岳士弘，荣西拉，马海涛，卢剑
AuthorsListE:Yue Shihong，Rong Xila，Ma Haitao，Lu Jian
AuthorsHTMLE:Yue Shihong，Rong Xila，Ma Haitao，Lu Jian
Unit:天津大学电气自动化与信息工程学院，天津 300072
Unit_EngLish:School of Electrical and Information Engineering，Tianjin University，Tianjin 300072，China
Abstract_Chinese:电学层析(ET)成像是新一代可视化无损检测技术，在工业和生物医疗等领域具有广泛的应用前景．但是受被测物场的软场效应和欠定性等尚未根本解决问题的影响，ET成像的空间分辨率很低，使用优化技术是解决这些问题的一类有效方法．为提高空间分辨率，模糊算子被引入优化过程以对传统的ET图像重建算法做改进．先从ET逆问题的欠定性和病态性出发，分析了使用模糊算子的可行性和合理性，然后根据ET系统的优化目标函数表达式，提出一种基于选择模糊算子的成像及实现方法，特别选择了5种典型模糊算子分析它们的使用形式，最后通过仿真实验，比较了用模糊算子改进前后的ET图像的可视化效果与误差．结果表明：与已有的重建方法相比，依据不同模糊算子的新方法，在不同的模型中重构图像的相对误差最大可以减小0.1462，且平均减小0.0931．本文提出的方法为ET算法的应用提供了新的选择．
Abstract_English:Electrical tomography(ET)is a new generation visual nondestructive measurement technology that has been widely applied in industrial and biomedical fields. However，the spatial resolution of ET is low due to the soft-field effect，and this problem of measured field remains unresolved. Optimization technique is a class of efficient methods for solving the abovementioned problem. In our study，to improve the spatial resolution，fuzzy operators are integrated into the optimization process to improve the traditional ET imaging reconstruction algorithm. Furthermore，to resolve the problem of the low soft-field effect，the motivation and rationality of using the fuzzy operators were analyzed. Subsequently，a reconstruction and realizing method was proposed by selecting the appropriate fuzzy operators according to the objective function construction of ET system. Five typical fuzzy operators were specially selected to analyze their applicable forms. Compared with the traditional ET imaging algorithm，in the simulating experiments，the visual effect and error were compared before and after the fuzzy operators were used. The results showed that the proposed method using various fuzzy operators can reduce the relative error of image reconstruction to a maximum of 0.1462 and an average of 0.0931，thereby providing a new candidate for the application of ET techniques.
Keyword_Chinese:电学层析；软场效应；模糊算子；图像重建
Keywords_English:electrical tomography(ET)；soft field effect；fuzzy operator；image reconstruction

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