半监督学习 MultiU-Net 网络的 ERT 图像重建方法
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1.天津大学电气自动化与信息工程学院天津300072; 2.天津仁爱学院信息与智能工程学院天津301636

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TP23TH86

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国家自然科学基金项目(62201381)、天津市自然科学基金项目(25JCQNJC01660)资助


Image reconstruction of ERT using semi-supervised learning MultiU-Net network
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1.School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China; 2.School of Information and Intelligent Engineering, Tianjin Renai College, Tianjin 301636, China

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    摘要:

    电阻层析成像(ERT)作为一种非侵入式断层扫描技术,在地质勘探、工业检测和生物医学等领域具有广泛的应用前景。由于其逆问题求解存在病态性与非线性特征,传统图像重建算法在成像精度、鲁棒性方面难以满足复杂工况下的应用需求。近年来,基于深度学习的电阻层析成像图像重建方法展现出强大的非线性映射能力,有效提升了图像重建精度,但仍面临高度依赖大规模标注训练数据集、泛化能力弱、抗噪性能不足等瓶颈。针对上述问题,提出了一种半监督学习MultiU-Net网络的电阻层析成像图像重建算法。该网络以一致性约束的半监督学习策略为基础,采用编码器和解码器为主要框架,降低了模型对训练数据的依赖,具有较强的泛化能力和抗噪能力;将通道注意力优化机制引入到网络的特征提取部分,自适应地调整特征通道的权重分布,提升了模型的训练效率和特征表达能力,从而提高图像重建精度。无标签数据占比优化实验表明,标注数据占训练数据比例为50%时成像效果最优。抗噪性测试实验表明,模型成像效果在高斯白噪声为30 dB时仍保持稳定,50 dB时几乎无失真。仿真、静态与动态图像重建实验结果表明,与线性反投影算法(LBP)、Tikhonov算法、Landweber算法以及卷积神经网络-视觉几何组算法相比,MultiU-Net网络在图像重建视觉效果与重建精度上具有更好的性能。

    Abstract:

    Electrical resistance tomography (ERT), as a non-invasive tomographic technique, has broad application prospects in fields such as geological exploration, industrial inspection, and biomedicine. Due to the ill-posedness and nonlinearity inherent in its inverse problem, conventional image reconstruction algorithms struggle to meet the demands of complex operating conditions in terms of imaging accuracy and robustness. In recent years, deep learning-based image reconstruction methods for electrical resistance tomography have demonstrated strong nonlinear mapping capabilities and effectively improved imaging accuracy. However, they still face bottlenecks such as heavy reliance on large-scale labeled training datasets, weak generalization capability, and insufficient noise immunity. To address these issues, a semi-supervised learning MultiU-Net network is proposed for ERT image reconstruction. Built upon a consistency-constrained semi-supervised learning strategy with an encoder-decoder framework, this network reduces dependence on labeled training data while improving generalization and anti-noise performance. A channel attention optimization mechanism is introduced into the feature extraction module to adaptively adjust the weight distribution of feature channels, thereby enhancing training efficiency and feature representation capability, and consequently improving image reconstruction accuracy. Experiments on unlabeled data ratio optimization show that optimal imaging performance is achieved when labeled data constitutes 50% of the training dataset. Noise immunity tests demonstrate that the reconstructed images remains stable under 30 dB Gaussian white noise and exhibits almost no distortion at 50 dB. Results from simulation, static, and dynamic image reconstruction experiments indicate that, compared with the linear back projection (LBP) algorithm, Tikhonov algorithm, Landweber algorithm, and Convolutional Neural Network-Visual Geometry Group algorithm, the MultiU-Net network achieves superior performance in both visual quality and reconstruction accuracy.

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黄世洋,谭超,梁光辉,任继坤,董峰.半监督学习 MultiU-Net 网络的 ERT 图像重建方法[J].仪器仪表学报,2026,47(3):212-222

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  • 在线发布日期: 2026-05-22
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