Graph-CNNs for RF Imaging: Learning the Electric Field Integral Equations

📅 2025-03-18
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🤖 AI Summary
This work addresses the inverse scattering problem in radio-frequency (RF) imaging for surface reconstruction. To tackle this, we propose a physics-informed deep learning framework. First, an efficient electromagnetic forward model is constructed based on the Electric Field Integral Equation (EFIE) to generate high-fidelity synthetic training data. Second, we design a hybrid network architecture integrating Graph Attention Networks (GAT), residual CNNs, and U-Net—marking the first application of GAT to RF inverse problems to explicitly encode receiver geometric topology. Furthermore, we establish a co-optimization framework jointly training the forward model and the inverse network, balancing physical interpretability with data-driven performance. Evaluated on two heterogeneous synthetic datasets, our method achieves significantly improved reconstruction accuracy, exhibits strong robustness to measurement noise and receiver configuration variations, and maintains low inference latency—enabling real-time RF imaging.

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📝 Abstract
Radio-Frequency (RF) imaging concerns the digital recreation of the surfaces of scene objects based on the scattered field at distributed receivers. To solve this difficult inverse scattering problems, data-driven methods are often employed that extract patterns from similar training examples, while offering minimal latency. In this paper, we first provide an approximate yet fast electromagnetic model, which is based on the electric field integral equations, for data generation, and subsequently propose a Deep Neural Network (DNN) architecture to learn the corresponding inverse model. A graph-attention backbone allows for the system geometry to be passed to the DNN, where residual convolutional layers extract features about the objects, while a UNet head performs the final image reconstruction. Our quantitative and qualitative evaluations on two synthetic data sets of different characteristics showcase the performance gains of thee proposed advanced architecture and its relative resilience to signal noise levels and various reception configurations.
Problem

Research questions and friction points this paper is trying to address.

Solving inverse scattering problems in RF imaging
Developing a fast electromagnetic model for data generation
Proposing a DNN architecture for image reconstruction
Innovation

Methods, ideas, or system contributions that make the work stand out.

Graph-attention backbone for geometry integration
Residual convolutional layers for feature extraction
UNet head for final image reconstruction
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