arXiv:2508.08114eess.IVcs.CV2025-08

用扩散模型做先验,让微波成像更准更稳

Learned Regularization for Microwave Tomography

  • 将扩散模型作为物理约束下的先验,嵌入迭代重建流程
  • 无需配对数据即可还原复杂解剖结构,精度与稳定性提升
  • 适合医学成像中缺乏标注数据的逆问题场景

微波断层成像(MWT)旨在从测量的散射电磁场中重构组织的介电特性。该反问题高度非线性且不适定,传统基于优化的方法虽基于物理模型,却难以恢复细微结构。近期深度学习方法虽提升了重建质量,但通常需要大量成对训练数据且泛化能力有限。为此,我们提出一种融合物理信息的混合框架,将扩散模型作为学习到的正则化项,嵌入数据一致性驱动的变分方案中。具体提出单步扩散正则化(SSD-Reg),在迭代重建过程中引入扩散先验,无需配对数据即可恢复复杂解剖结构。SSD-Reg同时保持对物理规律和学习到的结构分布的忠实性,显著提升准确性、稳定性和鲁棒性。大量数值与实验结果表明,以即插即用(PnP)形式实现的SSD-Reg,为解决功能性图像重建中的不适定性提供了灵活有效的策略。

原文摘要 · Abstract (English)

Microwave Tomography (MWT) aims to reconstruct the dielectric properties of tissues from measured scattered electromagnetic fields. This inverse problem is highly nonlinear and ill-posed, posing significant challenges for conventional optimization-based methods, which, despite being grounded in physical models, often fail to recover fine structural details. Recent deep learning strategies, including end-to-end and post-processing networks, have improved reconstruction quality but typically require large paired training datasets and may struggle to generalize. To overcome these limitations, we propose a physics-informed hybrid framework that integrates diffusion models as learned regularization within a data-consistency-driven variational scheme. Specifically, we introduce Single-Step Diffusion Regularization (SSD-Reg), a novel approach that embeds diffusion priors into the iterative reconstruction process, enabling the recovery of complex anatomical structures without the need for paired data. SSD-Reg maintains fidelity to both the governing physics and learned structural distributions, improving accuracy, stability, and robustness. Extensive experiments demonstrate that SSD-Reg, implemented as a Plug-and-Play (PnP) module, provides a flexible and effective solution for tackling the ill-posedness inherent in functional image reconstruction.

医学成像反问题扩散模型正则化

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