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arXiv 2603.05681eess.IVcs.CV

用于加速心脏 cine MRI 重建的 Gabor 原始要素

Gabor Primitives for Accelerated Cardiac Cine MRI Reconstruction

Chair for AI in Healthcare and Medicine, Technical University of Munich (TUM) and TUM University Hospital, Munich, Germany(人工智能在医疗与医学中的chair,慕尼黑技术大学(TUM)和慕尼黑技术大学医院,德国慕尼黑);School of Computation and Information Technology, Technical University of Munich, Munich, Germany(计算与信息科技学院,慕尼黑技术大学,德国慕尼黑);Institute of Machine Learning in Biomedical Imaging, Helmholtz Munich, Neuherberg, Germany(生物医学影像中的机器学习研究所,海德堡慕尼黑,德国纽赫堡);Department of Radiology, Boston Children's Hospital and Harvard Medical School, Boston, USA(放射科,波士顿儿童医院和哈佛医学院,美国波士顿);Munich Center for Machine Learning, Technical University of Munich, Munich, Germany(慕尼黑机器学习中心,慕尼黑技术大学,德国慕尼黑);GE HealthCare, Munich, Germany(通用电气医疗系统,德国慕尼黑);School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom(生物医学工程与成像科学学院,伦敦国王学院,英国伦敦);Department of Computing, Imperial College London, London, United Kingdom(计算学院,伦敦帝国学院,英国伦敦)

Wenqi Huang, Veronika Spieker, Nil Stolt-Ansó, Natascha Niessen, Maik Dannecker, Sevgi Gokce Kafali, Sila Kurugol, Julia A. Schnabel, Daniel Rueckert

AI总结:

本文提出 Gabor 原始要素用于加速心脏 cine MRI 重建,通过调制高斯包络实现灵活频谱支持,提升对光滑结构和锐利边界的表示能力。

摘要:

加速心脏 cine MRI 需要从高度欠采样的 k 空间数据中重建空间时间图像。隐式神经表示(INR)能够实现扫描特定的重建,而无需大量训练数据集,但其内容以网络权重隐式编码,缺乏物理可解释的参数。高斯原始要素提供了一种显式且几何可解释的替代方案,但其频谱受限于 k 空间原点附近,限制了高频表示。我们提出用于 MRI 重建的 Gabor 原始要素,通过将每个高斯包络调制为复指数,将其频谱支持置于任意 k 空间位置,从而能够高效表示平滑结构和锐利边界。为了利用心脏 cine 的时空冗余性,我们将每个原始要素的时间变化分解为一个低秩几何基,捕捉心脏运动,以及一个信号强度基,建模对比度变化。在具有 Cartesian 和 radial 轨道的心脏 cine 数据上的实验表明,Gabor 原始要素在压缩感知、高斯原始要素和哈希网格 INR 基线方面表现一致优异,同时提供紧凑且连续分辨率的表示,具有物理意义的参数。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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