用物理规律指导神经网络,提升电阻抗成像的精度与稳定性。
Physics-Driven Neural Compensation For Electrical Impedance Tomography
- 将电学物理原理嵌入神经网络,动态分配重建资源到敏感度低区域。
- 在模拟与实验数据上均优于现有方法,尤其在低敏感度区减少伪影。
- 无需标注数据,适合医疗和工业中缺乏训练样本的场景。
电阻抗断层成像(EIT)是一种无创、便携的成像技术,在医疗与工业领域具有重要应用潜力。然而,其逆问题本身病态且灵敏度分布空间不均,导致重建困难。传统模型方法依赖正则化但忽略灵敏度差异,监督深度学习需大量标注数据且泛化能力差。近期神经场虽引入隐式正则化,却忽视EIT的物理本质。本文提出无监督框架PhyNC(Physics-driven Neural Compensation),融合EIT物理规律,通过动态分配神经表示容量至低敏感度区域,同时应对病态性与灵敏度不均问题。在模拟与实验数据上的大量评估表明,PhyNC在细节保留与伪影抑制方面优于现有方法,尤其在低敏感度区域表现更优。该方法显著提升了EIT重建鲁棒性,并可推广至其他具有类似挑战的成像模态。
原文摘要 · Abstract (English)
Electrical Impedance Tomography (EIT) provides a non-invasive, portable imaging modality with significant potential in medical and industrial applications. Despite its advantages, EIT encounters two primary challenges: the ill-posed nature of its inverse problem and the spatially variable, location-dependent sensitivity distribution. Traditional model-based methods mitigate ill-posedness through regularization but overlook sensitivity variability, while supervised deep learning approaches require extensive training data and lack generalization. Recent developments in neural fields have introduced implicit regularization techniques for image reconstruction, but these methods typically neglect the physical principles underlying EIT, thus limiting their effectiveness. In this study, we propose PhyNC (Physics-driven Neural Compensation), an unsupervised deep learning framework that incorporates the physical principles of EIT. PhyNC addresses both the ill-posed inverse problem and the sensitivity distribution by dynamically allocating neural representational capacity to regions with lower sensitivity, ensuring accurate and balanced conductivity reconstructions. Extensive evaluations on both simulated and experimental data demonstrate that PhyNC outperforms existing methods in terms of detail preservation and artifact resistance, particularly in low-sensitivity regions. Our approach enhances the robustness of EIT reconstructions and provides a flexible framework that can be adapted to other imaging modalities with similar challenges.
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