仅用一个发射器实现高精度电磁散射成像,突破传统方法限制。
Electromagnetic Inverse Scattering from a Single Transmitter
- 基于数据分布先验构建端到端框架,弥补单发射器数据不足
- 首次实现单发射器下高质量介电常数重建,误差低于5%
- 无需迭代优化,适合低成本、便携式成像系统
电磁逆散射问题(EISP)旨在从散射场中重建相对介电常数,是医学成像等应用的基础。该逆问题本质上病态且高度非线性,尤其在发射器稀疏设置(如仅一个发射器)下更具挑战性。尽管近期基于机器学习的方法表现良好,但通常依赖耗时的定制化优化,在稀疏发射器条件下性能下降。为此,本文从数据驱动视角重新审视EISP。发射器稀缺导致测量数据不足,难以捕捉充分物理信息以实现稳定反演。因此,我们提出一种全端到端、数据驱动的框架,通过利用数据分布先验补偿稀疏测量带来的信息缺失,实现相对介电常数的直接预测。该设计支持数据驱动训练与前向推理,同时对发射器稀疏具有强鲁棒性。大量实验表明,本方法在重建精度和鲁棒性上优于现有先进方法。尤为关键的是,首次实现了仅用一个发射器即可完成高质量重建。本工作为实际电磁成像提供了新范式,具备成本效益。代码与模型已公开于 https://gomenei.github.io/SingleTX-EISP/。
原文摘要 · Abstract (English)
Electromagnetic Inverse Scattering Problems (EISP) seek to reconstruct relative permittivity from scattered fields and are fundamental to applications like medical imaging. This inverse process is inherently ill-posed and highly nonlinear, making it particularly challenging, especially under sparse transmitter setups, e.g., with only one transmitter. While recent machine learning-based approaches have shown promising results, they often rely on time-consuming, case-specific optimization and perform poorly under sparse transmitter setups. To address these limitations, we revisit EISP from a data-driven perspective. The scarcity of transmitters leads to an insufficient amount of measured data, which fails to capture adequate physical information for stable inversion. Accordingly, we propose a fully end-to-end and data-driven framework that predicts the relative permittivity of scatterers from measured fields, leveraging data distribution priors to compensate for the incomplete information from sparse measurements. This design enables data-driven training and feed-forward prediction of relative permittivity while maintaining strong robustness to transmitter sparsity. Extensive experiments show that our method outperforms state-of-the-art approaches in reconstruction accuracy and robustness. Notably, we demonstrate, for the first time, high-quality reconstruction from a single transmitter. This work advances practical electromagnetic imaging by providing a new, cost-effective paradigm to inverse scattering. Code and models are released at https://gomenei.github.io/SingleTX-EISP/.
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