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    This study introduces a dual-constrained untrained neural network (UNN) for lensless imaging. The novel method overcomes UNN overfitting, enabling stable and robust phase retrieval from intensity data.

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    Area of Science:

    • Computational imaging
    • Applied physics
    • Machine learning

    Background:

    • Lensless imaging offers advantages but requires accurate phase retrieval.
    • Untrained neural networks (UNNs) enable imaging from intensity data without large datasets.
    • UNNs face challenges with overfitting, hindering stable and robust reconstruction.

    Purpose of the Study:

    • To develop a robust phase retrieval method for lensless imaging using UNNs.
    • To address the overfitting problem in UNNs for improved reconstruction stability.
    • To introduce a dual-constrained network framework for intensity-to-phase conversion.

    Main Methods:

    • A dual-constrained untrained network was modeled for phase retrieval.
    • A phase-amplitude alternating optimization framework was designed.
    • Phase optimization incorporated deep image and total variation priors.
    • Amplitude optimization utilized a total variation denoising-based Wirtinger gradient descent method.

    Main Results:

    • The proposed method effectively splits the intensity-to-phase problem into distinct optimization tasks.
    • Iterative optimization of phase and amplitude led to high-performance wavefield reconstruction.
    • Experimental results validated the superiority of the dual-constrained UNN approach.

    Conclusions:

    • The dual-constrained UNN framework successfully mitigates overfitting in lensless imaging.
    • This approach provides a stable and robust solution for phase retrieval from single-frame intensity data.
    • The method demonstrates significant potential for advancing lensless imaging technologies.