arXiv:2606.22525cs.CV2026-06

提出新诊断方法,解决稀疏视角下3D高斯汤姆逊重建中的结构漂移问题。

Projection-Volume Fidelity Divergence: Diagnosing and Controlling Optimization Drift in Sparse-View 3D Gaussian Tomography

论文配图:Projection-Volume Fidelity Divergence: Diagnosing and Controlling Optimization Drift in Sparse-View 3D Gaussian Tomography
图 1 · 摘自论文原文
  • 引入投影-体素保真度发散诊断,发现高斯变形导致重建失真
  • 提出LADES控制策略,使体积结构更稳定,训练时间减少40%以上
  • 适合需要高保真体积重建的医学影像领域研究者

稀疏视角计算机断层成像是一个严重病态的逆问题。近年来,3D高斯点阵方法为断层重建提供了高效的显式表示。然而我们发现,投影域优化在此场景中可能具有误导性:渲染投影持续改善的同时,重建体素质量却在下降。我们将其归因于投影-体素保真度发散(PVFD),该现象由稀疏拉东约束下的各向异性高斯形变和视图特异性原语共适应所引发。为此,我们提出了几何级与体素级诊断指标,分别衡量细长高斯退化和体素密度场稳定性。基于此,提出无需真实标签的优化控制器LADES:结合线性退火丢弃(Linearly Annealed Dropout),早期强随机遮蔽以打断过早共适应,后期逐步恢复容量以巩固结构;以及结构感知早停机制,依据高斯数量增长饱和度而非验证PSNR终止新增点。在稀疏视角CT重建实验中,LADES显著提升体素保真度,抑制结构退化,并大幅缩短训练时间,同时保持竞争力投影精度。结果表明,稳健的高斯基断层成像需关注并控制体素结构,而非仅优化投影拟合。

原文摘要 · Abstract (English)

Sparse-view computed tomography is a severely ill-posed inverse problem, where recent 3D Gaussian Splatting methods offer an efficient explicit representation for tomographic reconstruction. However, we find that projection-domain optimization can be misleading in this setting: the rendered projections may continue to improve while the reconstructed volume deteriorates. We identify this failure mode as Projection-Volume Fidelity Divergence (PVFD), a representation-level optimization drift caused by anisotropic Gaussian deformation and view-specific primitive co-adaptation under sparse Radon constraints. To characterize this behavior, we introduce geometry- and volume-level diagnostics that measure needle-like Gaussian degeneration and the stability of the voxelized density field. Based on these observations, we propose LADES, a ground-truth-free optimization controller for sparse-view Gaussian tomography. LADES combines Linearly Annealed Dropout, which applies strong stochastic masking in early training to disrupt premature primitive co-adaptation and gradually restores full capacity for structural consolidation, with Structure-Aware Early Stopping, which terminates densification according to the saturation of Gaussian population growth rather than validation PSNR. Experiments on sparse-view CT reconstruction show that LADES improves volumetric fidelity, suppresses structural degeneration, and substantially reduces training time while maintaining competitive projection accuracy. These results suggest that robust Gaussian-based tomography requires monitoring and controlling volumetric structure, rather than optimizing projection fit alone.

3D重建图像重建高斯点阵医学影像

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