将深度展开网络用于磁共振成像重建,保持物理测量精度的同时提升图像质量。
Deep Unrolled Networks in Representation Space Applied to MRI Reconstruction

- 在学习的表示空间中构建深度展开网络,通过链式法则实现精确数据一致性梯度
- 在低场与高场MRI数据上均优于现有方法,结构保真度显著提升
- 适用于医疗影像重建,尤其适合需要高精度和可解释性的临床场景
深度展开网络(DUNs)将物理前向模型与学习到的正则化结合,在级联网络架构中实现了逆问题的优异性能,并保持了可解释性。尽管多数DUN在对象域(如图像空间)中运行,近期研究尝试在表示空间中提升信息流动,但这些方法依赖启发式数据一致性(DC)策略,牺牲了与测量值的保真度。本文提出DUNE(Deep Unrolled Networks in rEpresentation space),一种在学习表示空间中运行但仍严格遵循物理测量的框架。通过链式法则推导数据一致性梯度,并利用向量-雅可比乘积(VJP)实现测量残差到表示空间的精确反向传播。该方法支持多种网络主干结构,包括预训练编码器引导迭代过程。我们在加速MRI重建任务中对DUNE与最先进基线进行对比,结果表明基于VJP的精确梯度能显著提升重建质量与结构保真度,覆盖单通道便携式低场与多通道临床高场两种场景。代码将在发表后公开于https://github.com/EfeIlicak/DUNE。
原文摘要 · Abstract (English)
Deep unrolled networks (DUNs) integrate physical forward models with learned regularization in cascaded network architectures, achieving exceptional performance in inverse problems while maintaining interpretability. While most DUNs operate in the object domain (e.g., image space), recent variants explored representation spaces for improved information flow. However, these methods rely on heuristic methods for data consistency (DC), sacrificing fidelity with measurements. In this work, we introduce DUNE (Deep Unrolled Networks in rEpresentation space), a framework that maintains exact adherence to physical measurements while operating in learned representation spaces. By deriving the DC gradient via the chain rule and implementing it through the Vector-Jacobian Product (VJP), we enable exact backpropagation of measurement residuals into the representation space. This formulation supports diverse architectural backbones, including pre-trained encoders to guide the iterative process. We assess DUNE against state-of-the-art baselines on accelerated MRI reconstruction tasks, demonstrating that exact VJP-based gradients yield superior reconstruction quality and structural fidelity across both single-channel portable low-field and multi-channel clinical high-field MRI acquisitions. The code will be available upon publication at https://github.com/EfeIlicak/DUNE.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。