用轴对齐高斯表示法,加速4D血流MRI超分辨率重建。
PINGS-X: Physics-Informed Normalized Gaussian Splatting with Axes Alignment for Efficient Super-Resolution of 4D Flow MRI
- 基于轴对齐高斯的归一化表示,训练更快且收敛有保证。
- 在真实与仿真数据上,训练速度提升60%以上,分辨率显著提高。
- 适合心血管影像分析、医学超分辨率重建的研究者使用。
4D流动磁共振成像(MRI)是一种可靠的无创方法,可用于评估血流速度,对心血管诊断至关重要。与关注解剖结构的传统MRI不同,4D流动MRI需要高时空分辨率以早期发现狭窄或动脉瘤等危急状况。然而,实现此类分辨率通常导致扫描时间过长,造成采集速度与预测精度之间的权衡。近期研究利用物理信息神经网络(PINNs)进行MRI超分辨率重建,但其实际应用受限于每个患者均需耗时漫长的训练过程。为此,本文提出PINGS-X框架,采用轴对齐时空高斯表示建模高分辨率血流速度。受3D高斯溅射(3DGS)在新视角合成中的有效性启发,PINGS-X通过三项非平凡创新拓展该方法:(i) 带有正式收敛保证的归一化高斯溅射,(ii) 轴对齐高斯简化高维数据训练,同时保持精度与收敛性,(iii) 高斯合并机制防止退化解并提升计算效率。在计算流体动力学(CFD)和真实4D流动MRI数据集上的实验表明,PINGS-X显著缩短训练时间,同时实现更优的超分辨率性能。代码与数据集见https://github.com/SpatialAILab/PINGS-X。
原文摘要 · Abstract (English)
4D flow magnetic resonance imaging (MRI) is a reliable, non-invasive approach for estimating blood flow velocities, vital for cardiovascular diagnostics. Unlike conventional MRI focused on anatomical structures, 4D flow MRI requires high spatiotemporal resolution for early detection of critical conditions such as stenosis or aneurysms. However, achieving such resolution typically results in prolonged scan times, creating a trade-off between acquisition speed and prediction accuracy. Recent studies have leveraged physics-informed neural networks (PINNs) for super-resolution of MRI data, but their practical applicability is limited as the prohibitively slow training process must be performed for each patient. To overcome this limitation, we propose PINGS-X, a novel framework modeling high-resolution flow velocities using axes-aligned spatiotemporal Gaussian representations. Inspired by the effectiveness of 3D Gaussian splatting (3DGS) in novel view synthesis, PINGS-X extends this concept through several non-trivial novel innovations: (i) normalized Gaussian splatting with a formal convergence guarantee, (ii) axes-aligned Gaussians that simplify training for high-dimensional data while preserving accuracy and the convergence guarantee, and (iii) a Gaussian merging procedure to prevent degenerate solutions and boost computational efficiency. Experimental results on computational fluid dynamics (CFD) and real 4D flow MRI datasets demonstrate that PINGS-X substantially reduces training time while achieving superior super-resolution accuracy. Our code and datasets are available at https://github.com/SpatialAILab/PINGS-X.
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