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Updated: Oct 17, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
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Generalized optimization framework for pixel super-resolution imaging in digital holography.

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    This summary is machine-generated.

    This study introduces a unified framework for pixel-super-resolved phase retrieval in digital holography, enhancing imaging quality by combining phase retrieval and super-resolution techniques. The novel Wirtinger-PSR algorithm improves holographic imaging fidelity and resolution.

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    Area of Science:

    • Optics and Photonics
    • Computational Imaging
    • Digital Holography

    Background:

    • Digital holography faces challenges in imaging quality due to twin-image and aliasing effects.
    • Finite sensor pixel size and intensity-only detection limit holographic resolution and fidelity.
    • Phase retrieval and pixel super-resolution are crucial for high-quality holographic imaging.

    Purpose of the Study:

    • To develop a generalized algorithmic framework for pixel-super-resolved phase retrieval.
    • To unify phase retrieval and pixel super-resolution into a single optimization problem.
    • To enhance the fidelity and resolution of in-line digital holographic imaging.

    Main Methods:

    • Proposed a unified optimization problem combining phase retrieval and pixel super-resolution.
    • Introduced iterative projection and gradient descent algorithms for solving the problem.
    • Derived and analyzed projection operators and Wirtinger gradients.
    • Developed and validated the Wirtinger-PSR algorithm using simulated and experimental data.

    Main Results:

    • Demonstrated a generalized framework for pixel-super-resolved phase retrieval.
    • The Wirtinger-PSR algorithm showed effectiveness in improving holographic imaging.
    • The proposed methods address limitations of classical digital holography techniques.
    • Validated the framework's applicability across various physical settings.

    Conclusions:

    • The unified framework effectively combines phase retrieval and pixel super-resolution.
    • The Wirtinger-PSR algorithm offers a robust solution for high-fidelity holographic imaging.
    • The research bridges the gap between theoretical analysis and experimental application in digital holography.