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首页> 外文会议>Inverse Problems in Scattering and Imaging >New data inversion formula in confocal scanning microscopy
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New data inversion formula in confocal scanning microscopy

机译：共聚焦扫描显微镜中的新数据反演公式

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Abstract: Whereas the resolving power of an ordinary optical microscope is determined by the classical Rayleigh distance, significant super-resolution, i.e. resolution improvement beyond that Rayleigh limit, has been achieved by confocal scanning light microscopy. Furthermore is has been shown that the resolution of a confocal scanning microscope can still be significantly enhanced by measuring, for each scanning position, the full diffraction image by means of an array of detectors and by inverting these data to recover the value of the object at the focus. We discuss the associated inverse problem and show how to generalize the data inversion procedure by allowing, for reconstructing the object at a given point, to make use also of the diffraction images recorded at other scanning positions. This leads us to a whole family of generalized inversion formulae, which contains as special cases some previously known formulae. We also show how these exact inversion formulae can be implemented in practice.!16
机译：摘要：普通光学显微镜的分辨能力是由经典的瑞利距离决定的，但通过共聚焦扫描光学显微镜可以实现显着的超分辨率，即超过瑞利极限的分辨率提高。此外，已经表明，通过使用探测器阵列对每个扫描位置测量全衍射图像并通过反转这些数据以恢复物体的值，共聚焦扫描显微镜的分辨率仍可以显着提高。焦点。我们讨论了相关的逆问题，并展示了如何通过允许在给定点重建对象时也利用在其他扫描位置记录的衍射图像来概括数据反演过程。这使我们得到了一整套广义的反演公式，其中包含一些以前已知的公式作为特殊情况。我们还将展示如何在实践中实现这些确切的求逆公式。！16

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