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Self-supervised Physics-guided Model with Implicit Representation Regularization for Fast MRI Reconstruction

2025-10-08 03:40:40
Jingran Xu, Yuanyuan Liu, Yanjie Zhu

Abstract

Magnetic Resonance Imaging (MRI) is a vital clinical diagnostic tool, yet its widespread application is limited by prolonged scan times. Fast MRI reconstruction techniques effectively reduce acquisition duration by reconstructing high-fidelity MR images from undersampled k-space data. In recent years, deep learning-based methods have demonstrated remarkable progress in this field, with self-supervised and unsupervised learning approaches proving particularly valuable in scenarios where fully sampled data are difficult to obtain. This paper proposes a novel zero-shot self-supervised reconstruction framework named UnrollINR, which enables scan-specific MRI reconstruction without relying on external training data. The method adopts a physics-guided unrolled iterative reconstruction architecture and introduces Implicit Neural Representation (INR) as a regularization prior to effectively constrain the solution space. By combining a deep unrolled structure with the powerful implicit representation capability of INR, the model's interpretability and reconstruction performance are enhanced. Experimental results demonstrate that even at a high acceleration rate of 10, UnrollINR achieves superior reconstruction performance compared to the supervised learning method, validating the superiority of the proposed method.

Abstract (translated)

磁共振成像(MRI)是一种重要的临床诊断工具,但其广泛应用受限于较长的扫描时间。快速MRI重建技术通过从欠采样的k空间数据中重构高保真度的MR图像来有效缩短采集时间。近年来,基于深度学习的方法在这一领域取得了显著进展,特别是在难以获得完全采样数据的情况下,自监督和无监督学习方法特别有价值。本文提出了一种名为UnrollINR的新颖零样本自监督重建框架,该框架可以在无需外部训练数据的情况下实现特定扫描的MRI重建。此方法采用物理引导的展开迭代重建架构,并引入隐式神经表示(Implicit Neural Representation, INR)作为正则化先验,以有效地限制解空间。通过结合深度展开结构和INR强大的隐式表征能力,增强了模型的可解释性和重构性能。实验结果表明,在高达10倍加速率的情况下,UnrollINR仍优于监督学习方法的重建效果,验证了所提出方法的优势。

URL

https://arxiv.org/abs/2510.06611

PDF

https://arxiv.org/pdf/2510.06611.pdf


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