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arXiv 2601.19169eess.IVeess.SP

恢复细胞张量:用于荧光显微成像的扩散等价张量补全

Recover Cell Tensor: Diffusion-Equivalent Tensor Completion for Fluorescence Microscopy Imaging

Chenwei Wang, Zhaoke Huang, Zelin Li, Wenqi Zhu

AI总结:

本文提出了一种针对荧光显微成像的张量补全框架,通过等价生成模型提升3D细胞张量的恢复精度。

摘要:

荧光显微成像(FM)是一种用于观察活细胞分裂的基本技术,而活细胞分裂是生命生死周期中最基本的过程之一。观察3D活细胞需要在最小化致命光毒性的同时扫描通过细胞体积,这限制了采集时间,导致采样体积稀疏,具有各向异性分辨率和高噪声。现有的图像修复方法主要基于逆问题建模,假设已知且稳定的退化过程,在这种条件下表现不佳,特别是在缺乏高质量参考体积的情况下。在本文中,从新的视角出发,我们提出了一种针对FM成像本质的新型张量补全框架,该框架本质上涉及非线性信号退化和不完整观测。具体而言,具有等距Z轴采样的FM成像本质上是在均匀随机采样条件下的一种张量补全任务。一方面,我们推导了精确细胞张量补全的理论下界,验证了准确恢复3D细胞张量的可行性。另一方面,我们将张量补全问题重新表述为数学上等价的评分基于生成模型。通过结合结构一致性先验,生成轨迹被有效地引导至去噪且几何上一致的重建中。我们的方法在SR-CACO-2和三个真实体细胞数据集上展示了最先进的性能,显示出在信噪比和结构保真度上的显著改进。

英文摘要:

Fluorescence microscopy (FM) imaging is a fundamental technique for observing live cell division, one of the most essential processes in the cycle of life and death. Observing 3D live cells requires scanning through the cell volume while minimizing lethal phototoxicity. That limits acquisition time and results in sparsely sampled volumes with anisotropic resolution and high noise. Existing image restoration methods, primarily based on inverse problem modeling, assume known and stable degradation processes and struggle under such conditions, especially in the absence of high-quality reference volumes. In this paper, from a new perspective, we propose a novel tensor completion framework tailored to the nature of FM imaging, which inherently involves nonlinear signal degradation and incomplete observations. Specifically, FM imaging with equidistant Z-axis sampling is essentially a tensor completion task under a uniformly random sampling condition. On one hand, we derive the theoretical lower bound for exact cell tensor completion, validating the feasibility of accurately recovering 3D cell tensor. On the other hand, we reformulate the tensor completion problem as a mathematically equivalent score-based generative model. By incorporating structural consistency priors, the generative trajectory is effectively guided toward denoised and geometrically coherent reconstructions. Our method demonstrates state-of-the-art performance on SR-CACO-2 and three real \textit{in vivo} cellular datasets, showing substantial improvements in both signal-to-noise ratio and structural fidelity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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