可微分锥束CT重建框架在复杂轨迹下稳定高效,适合机器人等非标准扫描场景。
Robustness and Stability Analysis of Differentiable Shift-Variant FBP for Cone-Beam CT under Challenging Acquisition Settings

- 通过可微分权重学习,适应不规则甚至中断的扫描轨迹。
- 稀疏采样下计算速度比迭代方法快10倍,重建质量仍具竞争力。
- 无需修改架构即可用于非平面多等中心轨迹,灵活性强。
可微分变位滤波反投影(SV-FBP)框架实现了对锥束CT重建中冗余权重的数据驱动估计,适用于一般源轨迹,无需解析推导加权方案。本文系统研究了该框架在挑战性采集条件下的鲁棒性与适应性。结果表明,该框架在高度不规则且不连续的轨迹下仍保持稳定,重建性能基本不受轨迹顺序或连续性影响,空间采样点分布起主导作用。在稀疏视图条件下,不同可微分SV-FBP实现与迭代方法相当的重建质量,同时在中等采样密度下计算时间减少一个数量级。然而,在严重欠采样时,因缺乏迭代数据一致性,出现性能退化现象。此外,该框架无需架构调整即可应用于非平面多等中心几何,如Lissajous-saddle轨迹。这些发现揭示了可微分SV-FBP模型的行为与局限性,凸显其在非标准及机器人式锥束CT采集中的灵活高效优势。
原文摘要 · Abstract (English)
The differentiable shift-variant filtered backprojection (SV-FBP) framework enables data-driven estimation of redundancy weights for cone-beam CT reconstruction under general source trajectories, removing the need for analytically derived weighting schemes. In this work, we present a systematic study of the robustness and adaptability of differentiable SV-FBP under challenging acquisition settings. We show that the framework remains stable across highly irregular and discontinuous trajectories, indicating that reconstruction performance is largely insensitive to trajectory ordering or continuity. Instead, the spatial distribution of sampling points plays a more dominant role. Under sparse-view conditions, differentiable SV-FBP achieves competitive reconstruction quality while providing an order-of-magnitude reduction in computation time compared to iterative reconstruction methods at moderate sampling densities. However, we identify a clear transition regime under severe undersampling, where the absence of iterative data consistency leads to performance degradation. Furthermore, we demonstrate that the framework remains applicable to non-planar multi-isocenter geometries, such as Lissajous-saddle trajectories, without requiring architectural modifications. These findings provide new insights into the behavior and limitations of the differentiable SV-FBP model and highlight it as a flexible and efficient solution for non-standard and robotic CBCT acquisition scenarios.
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