Optimization of Sampling Mode in Macro Fourier Ptychography Imaging Based on Energy Distribution
Abstract
:1. Introduction
2. Principle
2.1. Image Formation Model
2.2. Recovery Algorithm
- Take the average of a series of captured images as the initial estimated image. The estimated spectrum is obtained from its Fourier transform, and k represents the number of iterations.
- Set the aperture function as , represents the position of the i-th aperture. Multiply it with the estimated object spectrum to get the spectrum intercepted by the aperture, and inverse Fourier transform to get the spatial domain image containing the phase information.
- 3.
- Replace the magnitudes of with the magnitude of the corresponding observed images while preserving the phase:
- 4.
- Update the estimate of by solving the following regularized, least-squares problem:
- 5.
- Repeat steps 2–4 iterative operations until the preset number of iterations k is reached.
- 6.
- Calculate the final updated spectrum and restore the final high-resolution image by inverse Fourier transform.
3. Simulation Results and Analysis
3.1. Irregular Sampling Mode
3.2. Non-Uniform Sampling Mode
4. Experimental Results and Analysis
4.1. Experimental Design
4.2. Pre-Sampling
4.3. Irregular Sampling Mode
4.4. Non-Uniform Sampling Mode
5. Discussion and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Jiang, R.; Shi, D.; Wang, Y. Optimization of Sampling Mode in Macro Fourier Ptychography Imaging Based on Energy Distribution. Photonics 2023, 10, 321. https://doi.org/10.3390/photonics10030321
Jiang R, Shi D, Wang Y. Optimization of Sampling Mode in Macro Fourier Ptychography Imaging Based on Energy Distribution. Photonics. 2023; 10(3):321. https://doi.org/10.3390/photonics10030321
Chicago/Turabian StyleJiang, Runbo, Dongfeng Shi, and Yingjian Wang. 2023. "Optimization of Sampling Mode in Macro Fourier Ptychography Imaging Based on Energy Distribution" Photonics 10, no. 3: 321. https://doi.org/10.3390/photonics10030321