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Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography.

Publication ,  Journal Article
Lee, KC; Chae, H; Xu, S; Lee, K; Horstmeyer, R; Lee, SA; Hong, B-W
Published in: Optics express
July 2024

Fourier ptychography (FP) is a powerful computational imaging technique that provides super-resolution and quantitative phase imaging capabilities by scanning samples in Fourier space with angle-varying illuminations. However, the image reconstruction in FP is inherently ill-posed, particularly when the measurements are noisy and have insufficient data redundancy in the Fourier space. To improve FP reconstruction in high-throughput imaging scenarios, we propose a regularized FP reconstruction algorithm utilizing anisotropic total variation (TV) and Tikhonov regularizations for the object and pupil functions, respectively. To solve this regularized FP problem, we formulate a reconstruction algorithm using the alternating direction method of multipliers and show that our approach successfully recovers high-quality images with sparsely sampled and/or noisy measurements. The results are quantitatively and qualitatively compared against various FP reconstruction algorithms to analyze the effect of regularization under harsh imaging conditions. In particular, we demonstrate the effectiveness of our method on the real experimental FP microscopy images, where the TV regularizer effectively suppresses the measurement noise while maintaining the edge information in the biological specimen and helps retrieve the correct amplitude and phase images even under insufficient sampling.

Duke Scholars

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

July 2024

Volume

32

Issue

14

Start / End Page

25343 / 25361

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

Citation

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Lee, K. C., Chae, H., Xu, S., Lee, K., Horstmeyer, R., Lee, S. A., & Hong, B.-W. (2024). Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography. Optics Express, 32(14), 25343–25361. https://doi.org/10.1364/oe.529023
Lee, Kyung Chul, Hyesuk Chae, Shiqi Xu, Kyungwon Lee, Roarke Horstmeyer, Seung Ah Lee, and Byung-Woo Hong. “Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography.Optics Express 32, no. 14 (July 2024): 25343–61. https://doi.org/10.1364/oe.529023.
Lee KC, Chae H, Xu S, Lee K, Horstmeyer R, Lee SA, et al. Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography. Optics express. 2024 Jul;32(14):25343–61.
Lee, Kyung Chul, et al. “Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography.Optics Express, vol. 32, no. 14, July 2024, pp. 25343–61. Epmc, doi:10.1364/oe.529023.
Lee KC, Chae H, Xu S, Lee K, Horstmeyer R, Lee SA, Hong B-W. Anisotropic regularization for sparsely sampled and noise-robust Fourier ptychography. Optics express. 2024 Jul;32(14):25343–25361.
Journal cover image

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

July 2024

Volume

32

Issue

14

Start / End Page

25343 / 25361

Related Subject Headings

  • Optics
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics