提出新模型实现3D电磁逆散射高精度快速成像,无需预重建。
Coordinate-Residual Physics-Driven Neural Network for Inverse Scattering Imaging

- 用坐标残差网络直接建模复杂对比度分布,避免预重建依赖。
- 无噪条件下平均相对误差仅2.10%,比基线快5.5至12.1倍。
- 适用于高精度3D成像,尤其适合噪声环境和实际场景应用。
电磁逆散射是高度非线性且病态的计算成像问题,受限于测量精度、噪声及高计算成本,三维成像尤为困难。尽管物理驱动神经网络(PDNN)降低了对标注数据的依赖,但现有加速框架常依赖预重建进行区域选择,一旦区域选取不准则易引入不稳定性。本文提出坐标残差物理驱动神经网络(CRPDNN)用于三维电磁逆散射。该方法通过归一化空间坐标与残差卷积网络表示未知的复数对比度分布,参数优化基于实测与模型预测散射场的一致性。相比传统子区域加速的PDNN方法,CRPDNN无需预重建,从而规避其准确性依赖。在报告的无噪三维合成案例中,CRPDNN平均相对误差为2.10%,优于CSI的7.97%和$L_{2/3}$-FBE-WCIE的3.99%;同时相较两者分别实现约5.5倍和12.1倍的速度提升。二维对比进一步验证其稳定性和高效性。在含噪条件下仍保持可靠重建性能,三维菲涅尔实验更表明其具备实际成像潜力。
原文摘要 · Abstract (English)
Electromagnetic inverse scattering is a nonlinear and ill-posed computational imaging problem, where accurate reconstruction is challenging due to measurement limitations, noise, and high computational costs, especially for 3-D imaging. Although physics-driven neural networks (PDNNs) reduce the dependence on labeled training data, existing accelerated PDNN frameworks often rely on preliminary reconstruction-based region selection, which may introduce instability when the selected region is inaccurate. In this paper, a coordinate-residual physics-driven neural network (CRPDNN) is proposed for 3-D electromagnetic inverse scattering. CRPDNN represents the unknown complex contrast distribution using normalized spatial coordinates and a residual convolutional network, whose parameters are optimized by enforcing consistency between the measured and model-predicted scattered fields. Unlike existing subregion-accelerated PDNN approaches, CRPDNN does not require a preliminary reconstruction, thereby avoiding dependence on its accuracy. For the reported noise-free 3-D synthetic cases, CRPDNN achieves an average relative error of 2.10\%, compared with 7.97\% for CSI and 3.99\% for $L_{2/3}$-FBE-WCIE, while providing approximately 5.5- and 12.1-fold speedups over the two baselines, respectively. Additional 2-D comparisons further demonstrate its stability and computational efficiency relative to existing PDNN frameworks. CRPDNN also maintains reliable reconstruction performance under noisy measurements, and the 3-D Fresnel experiments further indicate its potential for practical imaging applications.
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