Fourier Ptychogrphic Phase Retrieval with Convex Optimization

Repo for the project
Anisotropic Regularization for Sparsely Sampled and Noise-Robust Fourier Ptychography

Project Page | Paper

Kyung Chul Lee$^{1}$, Hyesuk Chae $^{1}$, Shiqi Xu $^{2}$, Kyungwon Lee $^{1}$,
Roarke Horstmeyer $^{2}$, Byung-Woo Hong $^{3}$, Seung Ah Lee $^{1}$.
$^1$ Yonsei University, $^2$ Duke University, $^3$ Chung-Ang University.

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What We Contribute?

• derivation of the algorithm for TV-regularized FP reconstruction algorithm via ADMM.
• validation of Tikhonov regularization on the pupil function that ensures a smooth pupil phase profile.
• demonstration of the performance of our method with extremely low measurement SNR and Fourier-space subsampling for reduced number of measurements.
• application of our algorithm using real experimental data, which shows the effectiveness of TV-regularizer for both super-resolution and phase imaging of biological specimens under challenging imaging conditions.

How to Use this Repo?

See details in code.md.

Citation

If you find our code or any of our materials useful, please cite our paper:

@article{Lee:24,
author = {Kyung Chul Lee and Hyesuk Chae and Shiqi Xu and Kyungwon Lee and Roarke Horstmeyer and Seung Ah Lee and Byung-Woo Hong},
journal = {Opt. Express},
keywords = {Computational imaging; Imaging systems; Imaging techniques; Phase imaging; Spatial resolution; Superresolution},
number = {14},
pages = {25343--25361},
publisher = {Optica Publishing Group},
title = {Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography},
volume = {32},
month = {Jul},
year = {2024},
url = {https://opg.optica.org/oe/abstract.cfm?URI=oe-32-14-25343},
doi = {10.1364/OE.529023},
}