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    Solving the phase problem in lensless microscopy requires accurate autofocusing. This study introduces a novel model-matching criterion for precise Fresnel number estimation, improving image reconstruction quality in coherent imaging.

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    Area of Science:

    • Coherent lensless microscopic imaging
    • Phase retrieval algorithms
    • Computational imaging

    Background:

    • The phase problem in lensless microscopy leads to ill-posed reconstructions.
    • Accurate estimation of the Fresnel number is crucial for autofocusing and sharp image reconstruction.
    • Existing autofocusing methods are sensitive to noise and neglect algorithmic properties.

    Purpose of the Study:

    • To develop a novel autofocusing criterion for lensless microscopy.
    • To improve the accuracy of Fresnel number estimation.
    • To automate the autofocusing process for in-situ/operando experiments.

    Main Methods:

    • A novel model-matching criterion is proposed.
    • An autofocusing framework is derived using a phase-retrieval approach.
    • A downhill-simplex method is employed for automatic Fresnel number optimization.

    Main Results:

    • The proposed criterion improves autofocusing by considering the reconstruction algorithm, forward model, and hologram data.
    • The framework demonstrates robustness across different datasets.
    • Accurate Fresnel number estimation leads to sharper, artifact-free images.

    Conclusions:

    • The novel model-matching approach offers a robust solution for autofocusing in lensless microscopy.
    • This method enhances image reconstruction quality by accurately estimating the Fresnel number.
    • The automated framework is suitable for demanding experimental conditions.