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    Area of Science:

    • Optical microscopy
    • Image processing
    • Computational imaging

    Background:

    • Accurate point-spread function (PSF) estimation is crucial for deconvolution and calibration in optical microscopy.
    • Spherical aberrations significantly impact image quality and require precise characterization.

    Purpose of the Study:

    • To develop and validate a novel method for estimating the spherically aberrated PSF directly from observed samples in 3D wide-field fluorescence microscopy.
    • To demonstrate the method's effectiveness using simulations and experimental data.

    Main Methods:

    • The proposed approach estimates the PSF by expressing it as a linear combination of 4 basis functions.
    • PSF estimation is achieved by minimizing a novel criterion derived from microscope noise statistics, directly from acquired images.
    • The method was tested using simulations and experiments with quantum dots.

    Main Results:

    • The study successfully demonstrated an effective PSF approximation model for spherically aberrated microscopes.
    • The developed estimation method accurately determined the PSF directly from sample images.
    • Validation was performed using both simulated data and real experimental results.

    Conclusions:

    • The proposed method provides a robust way to estimate microscope PSFs, enhancing deconvolution and calibration.
    • The approach is flexible and can be extended to handle non-spherical aberrations and other microscopy techniques.
    • Direct PSF estimation from samples offers a practical solution for improving imaging performance in various microscopy modalities.