Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient
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 intensit...
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| Format: | Online |
| Language: | English |
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Nature Publishing Group
2016
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4901273/ |
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pubmed-49012732016-06-13 Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient Bian, Liheng Suo, Jinli Chung, Jaebum Ou, Xiaoze Yang, Changhuei Chen, Feng Dai, Qionghai Article 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. Nature Publishing Group 2016-06-10 /pmc/articles/PMC4901273/ /pubmed/27283980 http://dx.doi.org/10.1038/srep27384 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ 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 http://creativecommons.org/licenses/by/4.0/ |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Bian, Liheng Suo, Jinli Chung, Jaebum Ou, Xiaoze Yang, Changhuei Chen, Feng Dai, Qionghai |
| spellingShingle |
Bian, Liheng Suo, Jinli Chung, Jaebum Ou, Xiaoze Yang, Changhuei Chen, Feng Dai, Qionghai Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| author_facet |
Bian, Liheng Suo, Jinli Chung, Jaebum Ou, Xiaoze Yang, Changhuei Chen, Feng Dai, Qionghai |
| author_sort |
Bian, Liheng |
| title |
Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| title_short |
Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| title_full |
Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| title_fullStr |
Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| title_full_unstemmed |
Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient |
| title_sort |
fourier ptychographic reconstruction using poisson maximum likelihood and truncated wirtinger gradient |
| description |
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. |
| publisher |
Nature Publishing Group |
| publishDate |
2016 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4901273/ |
| _version_ |
1613592411170144256 |