arXiv:2601.19169eess.IVeess.SP2026-01

用张量补全方法恢复荧光显微镜下的稀疏3D细胞图像,提升信噪比与结构保真度。

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

  • 将荧光显微成像建模为等距采样的张量补全问题,结合非线性退化特性。
  • 推导出精确恢复3D细胞张量的理论下界,证明可行性;在真实数据上信噪比显著提升。
  • 首次将张量补全转化为等效生成模型,适合低光照、稀疏采样场景下的生物影像重建。

荧光显微成像(FM)是观察活细胞分裂的关键技术,但受限于光毒性,需快速扫描且采样稀疏,导致三维体积数据具有各向异性分辨率和高噪声。现有基于逆问题建模的图像修复方法依赖已知稳定的退化过程,在缺乏高质量参考体积时表现不佳。本文从新视角提出专用于FM成像特性的张量补全框架,其本质是在均匀随机采样下进行张量补全。一方面,推导出精确恢复细胞张量的理论下界,验证了准确重建的可行性;另一方面,将张量补全重构成数学等价的基于得分的生成模型,并引入结构一致性先验,有效引导生成轨迹趋向去噪且几何一致的重建结果。该方法在SR-CACO-2及三个真实in vivo细胞数据集上达到领先性能,显著提升信噪比与结构保真度。

原文摘要 · Abstract (English)

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.

张量补全荧光显微生成模型3D重建

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