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    Area of Science:

    • Microscopy
    • Optical Imaging
    • Biomedical Optics

    Background:

    • Structured illumination microscopy (SIM) is crucial for high-resolution imaging.
    • Existing SIM methods can be complex and sensitive to precise parameter control.
    • Imaging scattering biological tissues presents significant challenges for optical microscopy.

    Purpose of the Study:

    • To develop a fast, simple, and robust method for background-rejected, optically-sectioned images.
    • To improve image reconstruction in structured illumination microscopy (SIM).
    • To enhance imaging of highly scattering tissue samples.

    Main Methods:

    • A novel two-shot structured illumination microscopy (SIM) technique.
    • A data demodulation method using two images with a π phase shift.
    • Empirical mode decomposition for spatial frequency selection and noise reduction.
    • Two-dimensional spiral Hilbert transform for high-contrast image calculation.

    Main Results:

    • The method successfully reconstructs background-rejected, optically-sectioned images.
    • Achieved high-contrast images from highly scattering tissue samples in reflectance mode.
    • Demonstrated superior performance compared to standard SIM and HiLo microscopy techniques.

    Conclusions:

    • The proposed two-shot SIM method offers a fast, simple, and experimentally robust approach.
    • This technique effectively overcomes challenges in imaging scattering tissues.
    • The algorithm provides a significant advancement over existing SIM and HiLo methods for specific applications.