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首页> 外文会议>Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XIII; Progress in Biomedical Optics and Imaging; vol.7 no.13 >A novel stochastic resolution criterion for fluorescence microscopes
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A novel stochastic resolution criterion for fluorescence microscopes

机译：荧光显微镜的一种新的随机分辨率判据

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摘要

Rayleigh's criterion is widely in optical microscopy to determine the resolution of microscopes. Despite its widespread use, it is well known that this criterion is heuristic and does not consider the actual measurement process. For instance, it has been pointed out that the resolution of a fluorescence microscope can, in principle, exceed Rayleigh's criterion when distance determination between two point sources is postulated as a parameter estimation problem. In fact, recent results from single molecule fluorescence experiments show that the location of two closely spaced point sources with distance of separation well below Rayleigh's criterion can be accurately estimated. These results suggest that Rayleigh's criterion is inadequate for current microscope techniques. Here, by adopting an information-theoretic stochastic framework, we re-visit the resolution problem and derive a new stochastic resolution criterion that provides a limit to the accuracy with which the distance between two point sources can be determined. Our results predict that the distance between two point sources can be determined to an arbitrary accuracy provided a sufficient number of photons are detected. The new criterion is given in terms of quantities such as the expected number of detected photons, the numerical aperture of the objective lens and the wavelength of the detected photons. We also investigate how the new resolution measure is influenced by deteriorating experimental factors such as pixelation of the detector and additive noise sources.
机译：瑞利准则广泛地用于确定显微镜的分辨率的光学显微镜中。尽管已被广泛使用，但众所周知该标准是启发式的，并且没有考虑实际的测量过程。例如，已经指出，当假定两个点源之间的距离确定作为参数估计问题时，荧光显微镜的分辨率原则上可以超过瑞利准则。实际上，单分子荧光实验的最新结果表明，可以精确地估计两个相距很近的点源的位置，其分离距离远低于瑞利准则。这些结果表明，瑞利准则不适用于当前的显微镜技术。在这里，通过采用信息理论上的随机框架，我们重新审视了分辨率问题，并得出了新的随机分辨率判据，该判据对确定两个点源之间的距离的准确性提供了限制。我们的结果预测，只要检测到足够数量的光子，就可以以任意精度确定两个点源之间的距离。根据诸如检测到的光子的预期数量，物镜的数值孔径和检测到的光子的波长等数量给出新的标准。我们还研究了恶化的实验因素（例如探测器的像素化和附加噪声源）如何影响新的分辨率测量。

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