arXiv:2505.21894eess.IV2025-05

无需标注数据,用张量函数提升动态MRI重建质量

Unsupervised patch-based dynamic MRI reconstruction using learnable tensor function with implicit neural representation

  • 用可学习的张量函数结合隐式神经表示,压缩参数量
  • 21倍加速下仍保持高时空分辨率与细节还原
  • 适合缺乏全采样数据的医疗影像重建场景

动态MRI受限于采集时间,导致时空分辨率不足。欠采样k空间可加速成像,但重建难度大。监督深度学习虽效果好,但依赖大量完整采样数据,难以获取。近期隐式神经表示(INR)成为无监督新范式,仅需单个欠采样数据即可重建图像。但现有方法在高度欠采样动态MRI中仍存在表示能力弱、计算成本高的问题。为此,本文提出TenF-INR,将低秩张量建模与INR结合,将张量分解中的每个因子矩阵建模为可学习的因子函数。具体地,利用INR在低秩分解中建模可学习张量函数,降低参数空间与计算负担。进一步采用基于块的非局部张量建模策略,挖掘时间相关性与块间相似性,增强精细时空细节恢复。在心脏与腹部动态数据集上的实验表明,TenF-INR实现最高21倍加速,优于当前主流的监督与无监督方法,在图像质量、时间保真度和定量准确性上均表现更优。

原文摘要 · Abstract (English)

Dynamic MRI suffers from limited spatiotemporal resolution due to long acquisition times. Undersampling k-space accelerates imaging but makes accurate reconstruction challenging. Supervised deep learning methods achieve impressive results but rely on large fully sampled datasets, which are difficult to obtain. Recently, implicit neural representations (INR) have emerged as a powerful unsupervised paradigm that reconstructs images from a single undersampled dataset without external training data. However, existing INR-based methods still face challenges when applied to highly undersampled dynamic MRI, mainly due to their inefficient representation capacity and high computational cost. To address these issues, we propose TenF-INR, a novel unsupervised framework that integrates low-rank tensor modeling with INR, where each factor matrix in the tensor decomposition is modeled as a learnable factor function. Specifically,we employ INR to model learnable tensor functions within a low-rank decomposition, reducing the parameter space and computational burden. A patch-based nonlocal tensor modeling strategy further exploits temporal correlations and inter-patch similarities, enhancing the recovery of fine spatiotemporal details. Experiments on dynamic cardiac and abdominal datasets demonstrate that TenF-INR achieves up to 21-fold acceleration, outperforming both supervised and unsupervised state-of-the-art methods in image quality, temporal fidelity, and quantitative accuracy.

动态MRI隐式神经表示张量建模无监督学习

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