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Single-pixel imaging method based on equivariant plug-and-play.

Haixu Wan, Xiangfeng Meng, Yongkai Yin

    Optics Letters
    |November 4, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces equivariant plug-and-play-based single-pixel imaging (EPnP-SPI), enhancing image reconstruction. The novel method leverages transformation consistency for superior performance, especially at low sampling rates.

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    Area of Science:

    • Optics
    • Computer Vision
    • Signal Processing

    Background:

    • Single-pixel imaging (SPI) decomposes imaging into modulation and reconstruction.
    • Deep learning frameworks improve SPI reconstruction but can lack physical constraints.

    Purpose of the Study:

    • To propose a novel framework, equivariant plug-and-play-based single-pixel imaging (EPnP-SPI).
    • To enhance SPI reconstruction by incorporating physical constraints through transformation consistency.

    Main Methods:

    • Incorporating equivariant imaging theory into a plug-and-play framework.
    • Enforcing equivariance on a denoiser to introduce transformation consistency.
    • Constraining deep neural network iterations using physical properties inherent to SPI.

    Main Results:

    • EPnP-SPI demonstrated superior performance in simulations and optical experiments.
    • The method showed significant advantages at low sampling rates.
    • Transformation consistency provided additional physical constraints for network iterations.

    Conclusions:

    • EPnP-SPI effectively integrates physical constraints into deep learning for SPI.
    • The proposed method enhances feature learning beyond data pairs.
    • EPnP-SPI offers improved image reconstruction for single-pixel imaging systems, particularly under data-scarce conditions.