用生成模型先验提升电磁逆散射重建精度,有效抑制伪影。
ScoreField: Neural Inverse Scattering with Score-Based Generative Priors

- 用隐式神经表示联合建模介电常数与感应电流场
- 在真实傅里叶数据上比最优基线提升1.8 dB PSNR
- 适合强多重散射场景,对物理约束和先验都更鲁棒
设计高效的电磁逆散射求解器需要精确满足非线性全波物理并具备对未知介电常数对比度的表达性先验。我们提出ScoreField,一种将耦合隐式神经表示(INRs)与预训练得分生成先验相结合的神经逆散射框架。ScoreField使用两个INRs分别参数化介电常数对比度和诱导电流场,并在Lippmann-Schwinger方程下联合优化。除了INR架构带来的隐式正则化外,得分模型还提供对比度的已学习先验梯度,通过链式法则传播至对比度INR。该公式能有效处理强多重散射问题,其中非线性波相互作用需精确建模耦合全波物理。我们在模拟弱散射与强散射基准、经典奥地利幻象以及实验菲涅尔测量数据上评估ScoreField。结果表明,相比经典全波方法与深度学习基线,ScoreField显著提升了重建保真度并抑制了伪影,在真实菲涅尔数据上平均PSNR优于最佳竞争方法1.8 dB。
原文摘要 · Abstract (English)
Designing an effective electromagnetic inverse-scattering solver requires faithful enforcement of nonlinear full-wave physics together with an expressive prior on the unknown permittivity contrast. We propose ScoreField, a neural inverse scattering framework that integrates coupled implicit neural representations (INRs) with a pretrained score-based generative prior. ScoreField employs two INRs to parameterize the permittivity contrast and the induced current fields, and jointly optimize them under the Lippmann-Schwinger equations. In addition to the implicit regularization by the INR architecture, the score model provides a learned prior gradient on the contrast, which is propagated to the contrast INR through the chain rule. This formulation enables ScoreField to effectively handle strong multiple scattering, where nonlinear wave interactions require accurate modeling of the coupled full-wave physics. We evaluate ScoreField on simulated weak- and strong-scattering benchmarks, the canonical Austria phantom, and experimental Fresnel measurements. We note that ScoreField significantly improves reconstruction fidelity and suppresses artifacts relative to classical full-wave methods and deep learning baselines, achieving an average PSNR improvement of $1.8 \, \mathrm{dB}$ over the best competing method on real Fresnel data.
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