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Space-variant point spread function measurement and interpolation at any depth based on single-pixel imaging.

Hongzhi Jiang, Yu Wang, Xudong Li

    Optics Express
    |April 1, 2020
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel method using single-pixel imaging (SPI) to measure space-variant point spread functions (PSFs) at any depth. The developed depth-variant PSF interpolation model accurately reconstructs PSFs, simplifying optical system evaluation and image deblurring.

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    Area of Science:

    • Optical Engineering
    • Computational Imaging
    • Image Processing

    Background:

    • Point spread function (PSF) is crucial for optical system evaluation and image deblurring.
    • Measuring space-variant PSF, especially depth-dependent variations, presents significant challenges in traditional optical methods.

    Purpose of the Study:

    • To propose and validate a novel method for measuring space-variant PSF at any depth using single-pixel imaging (SPI).
    • To develop a depth-variant PSF interpolation model for accurate PSF reconstruction and prediction.
    • To demonstrate the application of SPI in addressing traditional optical measurement problems.

    Main Methods:

    • Space-variant PSF is modeled as light transport coefficients from object points to image pixels.
    • Single-pixel imaging (SPI) is applied to each image pixel to extract light transport coefficients at different depths.
    • Depth calculation utilizes multi-frequency heterodyne phase-shifting principles and the perspective-n-point (PnP) algorithm.
    • A PSF interpolation model is proposed, interpolating light transport coefficients first, then deriving the PSF indirectly.

    Main Results:

    • The proposed method accurately measures space-variant PSF at any depth using simple experimental setups (digital camera, LCD screen).
    • The depth-variant PSF interpolation model shows significant similarity between interpolated and directly measured PSFs.
    • The method simplifies PSF measurement and interpolation without complex calculations.

    Conclusions:

    • Single-pixel imaging (SPI) offers a viable solution for measuring space-variant PSFs at various depths.
    • The developed interpolation model enables accurate PSF prediction at different depths from measured data.
    • This work successfully demonstrates the utility of SPI in overcoming traditional optical measurement challenges.