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Sparsely sampled Fourier ptychography.

Siyuan Dong, Zichao Bian, Radhika Shiradkar

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    Summary
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    Fourier ptychography (FP) imaging can be accelerated by ~50% using a new sparsely sampled scheme. This method reduces data redundancy, bypassing steps and solving pixel aliasing for faster, improved complex image recovery.

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    Area of Science:

    • Optics and Imaging Science
    • Computational Imaging
    • Digital Signal Processing

    Background:

    • Fourier ptychography (FP) enables high-resolution complex image recovery through angular diversity.
    • The standard FP recovery involves iterative switching between spectral and spatial domains.
    • Existing FP methods face challenges with data redundancy and pixel aliasing.

    Purpose of the Study:

    • To investigate the spectral-spatial data redundancy requirements in Fourier ptychography recovery.
    • To develop a sparsely sampled FP scheme to optimize acquisition time and image quality.
    • To address limitations of the original FP recovery routine, including high-dynamic-range combination and pixel aliasing.

    Main Methods:

    • Exploration of the sampling interplay between spectral and spatial domains in FP.
    • Development and implementation of a sparsely sampled FP scheme.
    • Demonstration of a sub-sampled FP scheme as a specific case for aliasing correction.
    • Validation using both computational simulations and experimental data.

    Main Results:

    • A sparsely sampled FP scheme was successfully developed, reducing acquisition time by approximately 50%.
    • The proposed scheme bypasses the high-dynamic-range combination step, simplifying the FP recovery process.
    • A sub-sampled FP scheme effectively resolves pixel aliasing issues inherent in the original FP algorithm.
    • Experimental and simulation results validate the efficacy of the developed sparsely sampled FP techniques.

    Conclusions:

    • Sparsely sampled Fourier ptychography significantly enhances imaging efficiency and reduces acquisition time.
    • The developed schemes offer practical solutions for improving the performance and applicability of FP imaging.
    • This work provides valuable insights for future advancements in Fourier ptychography techniques and applications.