arXiv:2609.02288cs.CV2026-09

用高斯场联合重建扩散磁共振的时空信息,提升低采样下的图像质量。

Diffusion-Encoding Gaussian Field for Joint k-q dMRI Reconstruction

论文配图:Diffusion-Encoding Gaussian Field for Joint k-q dMRI Reconstruction
图 1 · 摘自论文原文
  • 构建时空联合的高斯场模型,用连续张量残差响应建模方向依赖信号变化。
  • 在多加速条件下,对缺失方向的DWI重建和张量指标均有显著提升。
  • 无需全采样数据或预留方向监督,适合临床低采样场景应用。

扩散磁共振成像需要在多个扩散编码方向上重复采集k空间数据,导致扫描时间与空间及角度采样相关。现有联合k-q方法要么将方向参数固定于体素,要么分离空间重建与角度补全。然而,不同方向获取的扩散加权图像共享相同解剖结构,局部信号强度随扩散编码变化。现有方法未充分挖掘解剖共性与方向依赖信号变化之间的互补性,导致残留空间误差被误判为真实角度变化并传播至未观测方向。为此,我们提出一种面向个体的时空高斯场,用于自监督联合k-q dMRI重建。共享的3D高斯基元提供局部空间支持,每个基元携带连续q条件化的张量残差响应。各位置信号由多个重叠基元响应合成,耦合邻近空间区域与扩散方向。该场从观测方向的欠采样k空间数据中逐步优化,无需全采样目标或留出方向监督。在三个HCP扩散壳层、多种加速设置下的实验表明,该方法在缺失方向的DWI重建、张量衍生指标及主扩散方向估计方面均取得一致改进。

原文摘要 · Abstract (English)

Diffusion MRI requires repeated k-space acquisitions over multiple diffusion-encoding directions, making acquisition time dependent on both spatial and angular sampling. Existing joint k-q methods either associate directional parameters with fixed voxels or separate spatial reconstruction from angular completion. However, diffusion-weighted images acquired under different directions share the same anatomical organization, while their local signal intensities vary with diffusion encoding. Existing formulations do not fully exploit the complementarity between shared anatomy and direction-dependent signal variation. Consequently, residual spatial errors may be misinterpreted as genuine angular variation and propagated to unobserved directions. We propose a subject-specific spatial-angular Gaussian field for self-supervised joint k-q dMRI reconstruction. Shared 3D Gaussian primitives provide local spatial support, with each primitive carrying a continuous q-conditioned tensor-residual response. The signal at each location is synthesized from multiple overlapping primitive responses, coupling neighboring spatial regions and diffusion directions. The field is progressively optimized from undersampled k-space measurements of observed directions, without fully sampled targets or held-out-direction supervision. Experiments on three HCP diffusion shells under multiple acceleration settings demonstrated consistent improvements in missing-direction DWI reconstruction, tensor-derived metrics, and principal diffusion orientation estimation.

扩散MRI联合重建高斯场自监督

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