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Article

Pixel Super-Resolution Phase Retrieval for Lensless On-Chip Microscopy via Accelerated Wirtinger Flow

State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Tsinghua University, Beijing 100084, China
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Author to whom correspondence should be addressed.
Academic Editor: Didier Albert Marguet
Cells 2022, 11(13), 1999; https://doi.org/10.3390/cells11131999
Received: 21 May 2022 / Revised: 18 June 2022 / Accepted: 21 June 2022 / Published: 22 June 2022
(This article belongs to the Collection Computational Imaging for Biophotonics and Biomedicine)
Empowered by pixel super-resolution (PSR) and phase retrieval techniques, lensless on-chip microscopy opens up new possibilities for high-throughput biomedical imaging. However, the current PSR phase retrieval approaches are time consuming in terms of both the measurement and reconstruction procedures. In this work, we present a novel computational framework for PSR phase retrieval to address these concerns. Specifically, a sparsity-promoting regularizer is introduced to enhance the well posedness of the nonconvex problem under limited measurements, and Nesterov’s momentum is used to accelerate the iterations. The resulting algorithm, termed accelerated Wirtinger flow (AWF), achieves at least an order of magnitude faster rate of convergence and allows a twofold reduction in the measurement number while maintaining competitive reconstruction quality. Furthermore, we provide general guidance for step size selection based on theoretical analyses, facilitating simple implementation without the need for complicated parameter tuning. The proposed AWF algorithm is compatible with most of the existing lensless on-chip microscopes and could help achieve label-free rapid whole slide imaging of dynamic biological activities at subpixel resolution. View Full-Text
Keywords: phase retrieval; pixel super-resolution; computational imaging; digital holography; Wirtinger flow; lensless imaging; whole slide imaging phase retrieval; pixel super-resolution; computational imaging; digital holography; Wirtinger flow; lensless imaging; whole slide imaging
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MDPI and ACS Style

Gao, Y.; Yang, F.; Cao, L. Pixel Super-Resolution Phase Retrieval for Lensless On-Chip Microscopy via Accelerated Wirtinger Flow. Cells 2022, 11, 1999. https://doi.org/10.3390/cells11131999

AMA Style

Gao Y, Yang F, Cao L. Pixel Super-Resolution Phase Retrieval for Lensless On-Chip Microscopy via Accelerated Wirtinger Flow. Cells. 2022; 11(13):1999. https://doi.org/10.3390/cells11131999

Chicago/Turabian Style

Gao, Yunhui, Feng Yang, and Liangcai Cao. 2022. "Pixel Super-Resolution Phase Retrieval for Lensless On-Chip Microscopy via Accelerated Wirtinger Flow" Cells 11, no. 13: 1999. https://doi.org/10.3390/cells11131999

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