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Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient

Bian, Liheng and Suo, Jinli and Chung, Jaebum and Ou, Xiaoze and Yang, Changhuei and Chen, Feng and Dai, Qionghai (2016) Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient. Scientific Reports, 6 . Art. No. 27384. ISSN 2045-2322. PMCID PMC4901273. doi:10.1038/srep27384.

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Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval optimization process, in which we only obtain low resolution intensity images corresponding to the sub-bands of the sample’s high resolution (HR) spatial spectrum, and aim to retrieve the complex HR spectrum. In real setups, the measurements always suffer from various degenerations such as Gaussian noise, Poisson noise, speckle noise and pupil location error, which would largely degrade the reconstruction. To efficiently address these degenerations, we propose a novel FP reconstruction method under a gradient descent optimization framework in this paper. The technique utilizes Poisson maximum likelihood for better signal modeling, and truncated Wirtinger gradient for effective error removal. Results on both simulated data and real data captured using our laser-illuminated FPM setup show that the proposed method outperforms other state-of-the-art algorithms. Also, we have released our source code for non-commercial use.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper CentralArticle
Bian, Liheng0000-0002-8016-0375
Chung, Jaebum0000-0003-3932-8428
Yang, Changhuei0000-0001-8791-0354
Dai, Qionghai0000-0001-7043-3061
Additional Information:© 2016 Macmillan Publishers Limited. This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit received: 05 March 2016. accepted: 16 May 2016. Published: 10 June 2016. This work was supported by the National Natural Science Foundation of China, Nos 61120106003 and 61327902. Author Contributions: L.B. and J.S. proposed the idea and conducted the experiments. J.C. and X.O. built the setup. L.B., J.S., J.C. and X.O. wrote and revised the manuscript. J.S., C.Y., F.C. and Q.D. supervised the project. All the authors reviewed the manuscript. The authors declare no competing financial interests.
Funding AgencyGrant Number
National Natural Science Foundation of China61120106003
National Natural Science Foundation of China61327902
PubMed Central ID:PMC4901273
Record Number:CaltechAUTHORS:20160620-080444939
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Official Citation:Bian, L. et al. Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient. Sci. Rep. 6, 27384; doi: 10.1038/srep27384 (2016).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68507
Deposited On:20 Jun 2016 19:04
Last Modified:26 Apr 2022 18:50

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