为电容层析成像设计含电势场的基准数据集,提升重建精度与物理一致性。
An Electric Potential-Augmented Benchmark Dataset for Physics-Guided Image Reconstruction of Electrical Capacitance Tomography

- 构建八电极传感器的2万样本数据集,含电势场全图
- 引入电势场信息后,重建准确率显著提升,跨场景泛化更强
- 适合做物理引导的机器学习、工业过程成像研究者使用
尽管深度学习已推动电容层析成像(ECT)图像重建进展,但多数数据驱动方法直接映射电容与介电分布,将传感器视为黑箱,忽略了电势场这一决定非线性、病态“软场”效应的根本物理纽带。为此,我们提出一个电势场增强的ECT基准数据集,旨在显式融入隐含于ECT中的物理机制。基于八电极传感器,通过COMSOL-MATLAB流程生成20,000个随机样本,涵盖四种典型流型。每个样本除常规电容向量与介电分布图像外,还保留八个激励下的全域电势场图。除数据发布外,我们提供正反问题评估协议。在同分布(IID)与跨分布(OOD)场景下系统测试表明,引入电势场显著提升建模精度与鲁棒性。该工作使物理定律融入ECT建模的门槛大幅降低,为未来物理引导的机器学习重建奠定标准化基础。
原文摘要 · Abstract (English)
While deep learning has significantly advanced image reconstruction of Electrical Capacitance Tomography (ECT), most data-driven methods map directly between capacitance and permittivity distribution, treating the sensor as a black box. This overlooks the electric potential field -- the fundamental physical link governing the nonlinear and ill-posed ``soft-field'' effect. To address this, we propose an electric potential-augmented ECT benchmark dataset designed to explicitly integrate latent physics behind ECT into the learning process. Generated via a COMSOL-MATLAB pipeline for an eight-electrode sensor as an example, the dataset comprises 20,000 randomized samples across four typical flow patterns. Crucially, alongside the conventional capacitance vectors and permittivity distributions depicted as images, each sample preserves eight excitation-wise full-field potential maps. Beyond data release, we provide illustrative evaluation protocols for both forward and inverse problems of ECT. Through comprehensive testing on both in-distribution (IID) and out-of-distribution (OOD) scenarios, we systematically demonstrate how the inclusion of electric potential maps enhances modeling accuracy and robustness. Fundamentally, the explicit inclusion of latent field information significantly lowers the barrier to integrating physical laws into ECT modeling, thereby establishing a standardized foundation for future physics-guided machine learning of ECT image reconstruction.
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