arXiv:2603.05681eess.IVcs.CV2026-03被引 3

用可解释的Gabor基函数加速心脏动态MRI重建

Gabor Primitives for Accelerated Cardiac Cine MRI Reconstruction

  • 用调制高斯包络的Gabor基表示图像,实现频域灵活定位
  • 在心电图数据上优于压缩感知和现有神经表示方法
  • 结果具物理意义且参数紧凑,适合临床医学影像重建

加速心脏动态MRI需要从高度欠采样的k空间数据中重构时空图像。隐式神经表示(INRs)可在无需大规模训练数据的情况下实现扫描特异性重建,但其内容编码于网络权重中,缺乏物理可解释性。高斯基函数提供显式几何可解释性,但其频谱局限于k空间原点,难以表达高频结构。本文提出用于MRI重建的Gabor基函数,通过复指数调制每个高斯包络,使频谱支持置于任意k空间位置,从而高效表示平滑结构与锐利边界。为利用心脏动态中的时空冗余,将每基函数的时间变化分解为低秩几何基(捕捉心脏运动)与信号强度基(建模对比度变化)。在笛卡尔与径向轨迹的心脏动态数据实验表明,Gabor基函数持续优于压缩感知、高斯基函数及哈希网格INR基线,同时提供紧凑、连续分辨率的表示,参数具有物理意义。

原文摘要 · Abstract (English)

Accelerated cardiac cine MRI requires reconstructing spatiotemporal images from highly undersampled k-space data. Implicit neural representations (INRs) enable scan-specific reconstruction without large training datasets, but encode content implicitly in network weights without physically interpretable parameters. Gaussian primitives provide an explicit and geometrically interpretable alternative, but their spectra are confined near the k-space origin, limiting high-frequency representation. We propose Gabor primitives for MRI reconstruction, modulating each Gaussian envelope with a complex exponential to place its spectral support at an arbitrary k-space location, enabling efficient representation of both smooth structures and sharp boundaries. To exploit spatiotemporal redundancy in cardiac cine, we decompose per-primitive temporal variation into a low-rank geometry basis capturing cardiac motion and a signal-intensity basis modeling contrast changes. Experiments on cardiac cine data with Cartesian and radial trajectories show that Gabor primitives consistently outperform compressed sensing, Gaussian primitives, and hash-grid INR baselines, while providing a compact, continuous-resolution representation with physically meaningful parameters.

MRI重建Gabor基隐式表示心脏成像

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