Fourier ptychographic microscopy with sparse representation

Abstract Fourier ptychographic microscopy (FPM) is a novel computational microscopy technique that provides intensity images with both wide field-of-view and high-resolution. By combining ideas from synthetic aperture and phase retrieval, FPM iteratively stitches together a number of variably illumi...

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Autores principales:	Yongbing Zhang, Pengming Song, Jian Zhang, Qionghai Dai
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/3ae0c0b38c7c43a2b613c07aee71d05d
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spelling	oai:doaj.org-article:3ae0c0b38c7c43a2b613c07aee71d05d2021-12-02T16:08:10ZFourier ptychographic microscopy with sparse representation10.1038/s41598-017-09090-82045-2322https://doaj.org/article/3ae0c0b38c7c43a2b613c07aee71d05d2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09090-8https://doaj.org/toc/2045-2322Abstract Fourier ptychographic microscopy (FPM) is a novel computational microscopy technique that provides intensity images with both wide field-of-view and high-resolution. By combining ideas from synthetic aperture and phase retrieval, FPM iteratively stitches together a number of variably illuminated, low-resolution intensity images in Fourier space to reconstruct a high-resolution complex sample image. Although FPM is able to bypass the space-bandwidth product (SBP) limit of the optical system, it is vulnerable to the various capturing noises and the reconstruction is easy to trap into the local optimum. To efficiently depress the noise and improve the performance of reconstructed high-resolution image, a FPM with sparse representation is proposed in this paper. The cost function of the reconstruction is formulated as a regularized optimization problem, where the data fidelity is constructed based on a maximum likelihood theory, and the regulation term is expressed as a small number of nonzero elements over an appropriate basis for both amplitude and phase of the reconstructed image. The Nash equilibrium is employed to obtain the approximated solution. We validate the proposed method with both simulated and real experimental data. The results show that the proposed method achieves state-of-the-art performance in comparison with other approaches.Yongbing ZhangPengming SongJian ZhangQionghai DaiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yongbing Zhang Pengming Song Jian Zhang Qionghai Dai Fourier ptychographic microscopy with sparse representation
description	Abstract Fourier ptychographic microscopy (FPM) is a novel computational microscopy technique that provides intensity images with both wide field-of-view and high-resolution. By combining ideas from synthetic aperture and phase retrieval, FPM iteratively stitches together a number of variably illuminated, low-resolution intensity images in Fourier space to reconstruct a high-resolution complex sample image. Although FPM is able to bypass the space-bandwidth product (SBP) limit of the optical system, it is vulnerable to the various capturing noises and the reconstruction is easy to trap into the local optimum. To efficiently depress the noise and improve the performance of reconstructed high-resolution image, a FPM with sparse representation is proposed in this paper. The cost function of the reconstruction is formulated as a regularized optimization problem, where the data fidelity is constructed based on a maximum likelihood theory, and the regulation term is expressed as a small number of nonzero elements over an appropriate basis for both amplitude and phase of the reconstructed image. The Nash equilibrium is employed to obtain the approximated solution. We validate the proposed method with both simulated and real experimental data. The results show that the proposed method achieves state-of-the-art performance in comparison with other approaches.
format	article
author	Yongbing Zhang Pengming Song Jian Zhang Qionghai Dai
author_facet	Yongbing Zhang Pengming Song Jian Zhang Qionghai Dai
author_sort	Yongbing Zhang
title	Fourier ptychographic microscopy with sparse representation
title_short	Fourier ptychographic microscopy with sparse representation
title_full	Fourier ptychographic microscopy with sparse representation
title_fullStr	Fourier ptychographic microscopy with sparse representation
title_full_unstemmed	Fourier ptychographic microscopy with sparse representation
title_sort	fourier ptychographic microscopy with sparse representation
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/3ae0c0b38c7c43a2b613c07aee71d05d
work_keys_str_mv	AT yongbingzhang fourierptychographicmicroscopywithsparserepresentation AT pengmingsong fourierptychographicmicroscopywithsparserepresentation AT jianzhang fourierptychographicmicroscopywithsparserepresentation AT qionghaidai fourierptychographicmicroscopywithsparserepresentation
_version_	1718384588178325504

Fourier ptychographic microscopy with sparse representation

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