arXiv:2605.16742cs.CVstat.ME2026-05

直接对纤维终点进行形变对齐,提升脑皮层注册的解剖一致性。

Diffeomorphic Cortical Alignment via Direct Warping of Streamline Endpoints

论文配图:Diffeomorphic Cortical Alignment via Direct Warping of Streamline Endpoints
图 1 · 摘自论文原文
  • 基于白质纤维终点点云,在球面域上迭代优化微小保角形变。
  • 在HCP数据上实现主要纤维束更高重叠系数和更强分辨率鲁棒性。
  • 适合关注脑连接结构对齐的研究者,尤其重视解剖约束的建模。

皮层表面配准通常依赖局部几何描述符(如脑沟深度和曲率),但忽略了白质解剖带来的远距离连接约束。扩散MRI示踪成像提供了这些关键约束,但以往基于连接性的方法多对预计算的连接矩阵进行配准,对连接估计及其分辨率敏感。本文提出一种新型基于连接性的表面配准方法,直接在白质纤维束终点上操作。我们将纤维终点建模为产品流形 $Ω\times Ω$ 上的点云,其中 $Ω$ 表示膨胀皮层半球的球面域。该方法迭代执行:(i) 通过最小化连接不匹配来计算 $Ω$ 的小量保角形变;(ii) 根据该形变更新终点位置。方法基于几何框架,确保输出形变为保角映射,并以优化已知纤维束匹配为目标。在人类连接组计划(HCP)数据上的实验表明,该方法在纤维水平对应性上优于现有最优方法(如 ENCORE 与 MSMAll),在主要纤维束上获得更高的连接重叠系数,并对 $Ω$ 的网格分辨率具有更强鲁棒性。

原文摘要 · Abstract (English)

Cortical surface registration is often driven by local geometric descriptors (e.g., sulcal depth and curvature). While this approach achieves geometric correspondence, it neglects the long-range wiring constraints imposed by white-matter anatomy. Diffusion MRI tractography offers these crucial constraints; however, prior connectivity-informed pipelines typically align precomputed connectivity matrices, making the optimization highly sensitive to connectivity estimation and its resolution. In this paper, we introduce a novel connectivity-based surface registration method that aligns cortical surfaces by operating directly on white-matter fiber-tract endpoints. We model tract endpoints as a point cloud on the product manifold $Ω\times Ω$, where $Ω$ represents the spherical domain of the inflated cortical hemispheres. Our alignment method iteratively (i) computes a small diffeomorphic warp for $Ω$ by minimizing connectivity mismatch, and (ii) updates the endpoints based on this warp. The method relies on a geometric framework that ensures output warps are diffeomorphisms and has a final goal that optimizes the matching of well-known fiber bundles. Experiments on Human Connectome Project (HCP) data demonstrate improved tract-level correspondence, achieving higher connectivity-level overlap coefficients on major fiber bundles and stronger robustness across grid resolutions for $Ω$ compared to state-of-the-art methods such as ENCORE and MSMAll.

脑图谱形变对齐连接组扩散成像

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