Perturbative Fourier Ptychographic Microscopy for Fast Quantitative Phase Imaging

Fuente: arXiv
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Autori principali: Zach, Martin, Shen, Kuan-Chen, Cao, Ruiming, Unser, Michael, Waller, Laura, Dong, Jonathan
Natura: Preprint
Pubblicazione: 2025
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author Zach, Martin
Shen, Kuan-Chen
Cao, Ruiming
Unser, Michael
Waller, Laura
Dong, Jonathan
author_facet Zach, Martin
Shen, Kuan-Chen
Cao, Ruiming
Unser, Michael
Waller, Laura
Dong, Jonathan
contents In computational phase imaging with a microscope equipped with an array of light emitting diodes as illumination unit, conventional Fourier ptychographic microscopy achieves high resolution and wide-field reconstructions but is constrained by a lengthy acquisition time. Conversely, differential phase contrast (DPC) offers fast imaging but is limited in resolution. Here, we introduce perturbative Fourier ptychographic microscopy (pFPM). pFPM is an extension of DPC that incorporates dark-field illumination to enable fast, high-resolution, wide-field quantitative phase imaging with few measurements. We interpret DPC as the initial iteration of a Gauss-Newton algorithm with quadratic regularization and generalize it to multiple iterations and more sophisticated regularizers. This broader framework is not restricted to bright-field measurements and allows us to overcome resolution limitations of DPC. We develop tailored annular dark-field illumination patterns that align with the perturbative interpretation and lead to an improvement in the quality of reconstruction with respect to other common illumination schemes. Consequently, our methodology combines an enhanced phase reconstruction algorithm with a specialized illumination strategy and offers significant advantages in both imaging speed and resolution.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07308
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perturbative Fourier Ptychographic Microscopy for Fast Quantitative Phase Imaging
Zach, Martin
Shen, Kuan-Chen
Cao, Ruiming
Unser, Michael
Waller, Laura
Dong, Jonathan
Optics
In computational phase imaging with a microscope equipped with an array of light emitting diodes as illumination unit, conventional Fourier ptychographic microscopy achieves high resolution and wide-field reconstructions but is constrained by a lengthy acquisition time. Conversely, differential phase contrast (DPC) offers fast imaging but is limited in resolution. Here, we introduce perturbative Fourier ptychographic microscopy (pFPM). pFPM is an extension of DPC that incorporates dark-field illumination to enable fast, high-resolution, wide-field quantitative phase imaging with few measurements. We interpret DPC as the initial iteration of a Gauss-Newton algorithm with quadratic regularization and generalize it to multiple iterations and more sophisticated regularizers. This broader framework is not restricted to bright-field measurements and allows us to overcome resolution limitations of DPC. We develop tailored annular dark-field illumination patterns that align with the perturbative interpretation and lead to an improvement in the quality of reconstruction with respect to other common illumination schemes. Consequently, our methodology combines an enhanced phase reconstruction algorithm with a specialized illumination strategy and offers significant advantages in both imaging speed and resolution.
title Perturbative Fourier Ptychographic Microscopy for Fast Quantitative Phase Imaging
topic Optics
url https://arxiv.org/abs/2501.07308