用深度学习提升电阻抗成像重建精度,兼顾真实场景适应性。
Deep Learning Based Reconstruction Methods for Electrical Impedance Tomography
- 采用深度神经网络直接学习逆问题解法,突破传统模型限制。
- 在仿真数据上优于传统方法,但跨分布泛化能力弱。
- 混合方法平衡精度与适应性,适合实际应用开发。
电阻抗断层成像(EIT)是一种广泛应用于医学诊断、工业监测和环境研究的成像技术。其逆问题是从物体边界电压测量中推断内部电导率分布,该问题严重不适定,需先进计算方法实现准确可靠重建。近年来,基于模型的重建与深度学习方法均取得显著进展。本文综述了利用深度神经网络解决EIT逆问题的各类学习型重建方法,重点讨论广泛用于实际应用的完整电极模型。对比了全端到端学习、后处理及学习迭代等方法,与稀疏正则化、正则化高斯-牛顿迭代和水平集法等经典模型基方法。评估基于三个数据集:椭圆模拟数据、分布外模拟数据及包含真实测量的KIT4数据集。结果表明,学习方法在分布内数据上优于模型基方法,但在泛化性方面面临挑战,而混合方法展现出良好的精度与适应性平衡。
原文摘要 · Abstract (English)
Electrical Impedance Tomography (EIT) is a powerful imaging modality widely used in medical diagnostics, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity distribution of the concerned object from the voltage measurements taken on its boundary. This problem is severely ill-posed, and requires advanced computational approaches for accurate and reliable image reconstruction. Recent innovations in both model-based reconstruction and deep learning have driven significant progress in the field. In this review, we explore learned reconstruction methods that employ deep neural networks for solving the EIT inverse problem. The discussion focuses on the complete electrode model, one popular mathematical model for real-world applications of EIT. We compare a wide variety of learned approaches, including fully-learned, post-processing and learned iterative methods, with several conventional model-based reconstruction techniques, e.g., sparsity regularization, regularized Gauss-Newton iteration and level set method. The evaluation is based on three datasets: a simulated dataset of ellipses, an out-of-distribution simulated dataset, and the KIT4 dataset, including real-world measurements. Our results demonstrate that learned methods outperform model-based methods for in-distribution data but face challenges in generalization, where hybrid methods exhibit a good balance of accuracy and adaptability.
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