论文标题

COL0RME:基于协方差的$ \ ell_0 $超分辨率显微镜具有强度估计

COL0RME: COvariance-based $\ell_0$ super-Resolution Microscopy with intensity Estimation

论文作者

Stergiopoulou, Vasiliki, Goulart, José Henrique de Morais, Schaub, Sébastien, Calatroni, Luca, Blanc-Féraud, Laure

论文摘要

超分辨率的光学显微镜克服了由于光衍射引起的物理屏障,从而可以观察到其他不可分割的亚细胞实体。但是,实现足够时空分辨率的最先进的超分辨率方法所需的特定采购条件通常非常具有挑战性。利用分子波动可以通过常见的显微镜和常规荧光染料进行良好的时空分辨率实时分辨率。在这项工作中,我们介绍了基于协方差的$ \ ell_0 $超分辨率显微镜和强度估计的方法Col0rme。它通过在协方差域中提出的非凸优化问题来编码荧光分子稀疏分布以及发射器之间的时间和空间独立性的假设。为了处理实际数据,提出的方法还估计了背景和噪声统计。它还包括一个最终的估计步骤,在该步骤中检索强度信息,这对于生物学解释和对超分辨率成像的未来应用很有价值。

Super-resolution light microscopy overcomes the physical barriers due to light diffraction, allowing for the observation of otherwise indistinguishable subcellular entities. However, the specific acquisition conditions required by state-of-the-art super-resolution methods to achieve adequate spatio-temporal resolution are often very challenging. Exploiting molecules fluctuations allows good spatio-temporal resolution live-cell imaging by means of common microscopes and conventional fluorescent dyes. In this work, we present the method COL0RME for COvariance-based $\ell_0$ super-Resolution Microscopy with intensity Estimation. It codifies the assumption of sparse distribution of the fluorescent molecules as well as the temporal and spatial independence between emitters via a non-convex optimization problem formulated in the covariance domain. In order to deal with real data, the proposed approach also estimates background and noise statistics. It also includes a final estimation step where intensity information is retrieved, which is valuable for biological interpretation and future applications to super-resolution imaging.

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