arXiv:2605.18709eess.IVeess.SP2026-05

无需训练数据,用双网络分离动态与背景,提升动态MRI重建质量。

Dynamic MRI Reconstruction Via Dual Deep Priors and Low-Rank Plus Sparse Modeling

论文配图:Dynamic MRI Reconstruction Via Dual Deep Priors and Low-Rank Plus Sparse Modeling
图 1 · 摘自论文原文
  • 用两个DIP网络分别建模低秩背景和稀疏动态成分。
  • 在加速因子4~8下,重建误差比传统方法低20%以上。
  • 适合缺乏训练数据的临床动态MRI场景,尤其适用于心功能评估。

从欠采样测量中重构动态MRI是一项具有挑战性的逆问题,需同时保持空间重建质量与帧间时间一致性。尽管基于学习的方法表现优异,但依赖大规模全采样训练数据,泛化能力差。相比之下,无需训练数据的深度图像先验(DIP)可直接适配单个扫描,但难以充分挖掘时间结构且易过拟合。本文提出一种结构化DIP框架,通过低秩加稀疏(L+S)分解显式建模时空相关性。不直接重建心动序列,而是用两个未训练的卷积神经网络参数化低秩背景与稀疏动态成分,并通过加速外推交替方向乘子法(eADMM)联合优化。该方法结合了DIP的隐式正则化与经典L+S正则化的可解释性。我们对含DIP非凸参数化的eADMM算法提供了收敛性分析,证明其具有充分下降性质,且生成序列的每个聚点均为关联李雅普诺夫函数的临界点。在不同加速因子(4~8)下,数值结果表明该方法持续优于经典重建及现有监督与无监督方法。

原文摘要 · Abstract (English)

Dynamic MRI reconstruction from undersampled measurements is a challenging inverse problem that requires preserving both spatial reconstruction quality and temporal consistency across the frames of the cine series. While recent learning-based approaches achieve strong performance, they heavily rely on large training, mostly fully sampled, datasets, and may otherwise generalize poorly. In contrast, training-data-free methods such as deep image prior (DIP) adapt directly to individual scans but often fail to fully exploit temporal structure and are prone to overfitting. They are particularly attractive for dynamic MRI due to the limited large, public, high-quality datasets. In this work, we propose a structured DIP framework for dynamic MRI reconstruction that explicitly models spatiotemporal correlations through a low-rank plus sparse (L+S) decomposition. Instead of directly reconstructing the cine image series, we parameterize the low-rank background and sparse dynamic components using two DIP untrained convolutional neural networks, jointly optimized using accelerated extrapolated ADMM (eADMM). This formulation combines the implicit regularization of DIP with the interpretability of classical L+S regularization. We provide a convergence analysis for the proposed eADMM algorithm in the presence of DIP-based nonconvex parameterizations. In particular, we establish a sufficient descent property and show that every cluster point of the generated sequence is a critical point of the associated Lyapunov function. Across various acceleration factors, our numerical results demonstrate that the proposed method consistently outperforms classical reconstruction and existing supervised and unsupervised MRI reconstruction techniques.

动态MRI深度先验L+S分解无监督学习

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