Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit

Single-molecule localization methods play a vital role in a localization-based super-resolution fluorescence microscopy. However, it is difficult for conventional localization schemes based on the Gaussian fitting to locate overlapped high-density fluorescent emitters. Currently, in the spatial doma...

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Main Authors: Saiwen Zhang, Jingjing Wu, Danni Chen, Siwei Li, Bin Yu, Junle Qu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Photonics Journal
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Online Access:https://ieeexplore.ieee.org/document/8556467/
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author Saiwen Zhang
Jingjing Wu
Danni Chen
Siwei Li
Bin Yu
Junle Qu
author_facet Saiwen Zhang
Jingjing Wu
Danni Chen
Siwei Li
Bin Yu
Junle Qu
author_sort Saiwen Zhang
collection DOAJ
description Single-molecule localization methods play a vital role in a localization-based super-resolution fluorescence microscopy. However, it is difficult for conventional localization schemes based on the Gaussian fitting to locate overlapped high-density fluorescent emitters. Currently, in the spatial domain, the compressive-sensing-based algorithm (CSSTORM) can localize high-emitter-density images. However, the computational cost of this approach is extremely high, which limits its practical application. Here, we propose an alternative frequency-domain compressed sensing (FD-CS) technique for fast super-resolution imaging. Unlike the CSSTORM method, which is a measurement matrix based on the point spread function, a Fourier dictionary designed in the frequency domain and orthogonal matching pursuit is used to reliably recover the original signal. The simulation and experimental results prove that the FD-CS is 1000 times faster than CSSTORM with CVX and ten times faster than that with L1-Homotopy with almost the same localization accuracy and recall rate. This drastic reduction in computational time should allow the compressed sensing approach to be routinely applied to a super-resolution image analysis.
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institution Kabale University
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publishDate 2019-01-01
publisher IEEE
record_format Article
series IEEE Photonics Journal
spelling doaj-art-9e5e04f2d1fe4884b931ffe1f1a3956f2025-08-20T03:32:46ZengIEEEIEEE Photonics Journal1943-06552019-01-011111810.1109/JPHOT.2018.28847308556467Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching PursuitSaiwen Zhang0https://orcid.org/0000-0003-2791-1632Jingjing Wu1Danni Chen2Siwei Li3Bin Yu4https://orcid.org/0000-0002-8698-0155Junle Qu5Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, ChinaSingle-molecule localization methods play a vital role in a localization-based super-resolution fluorescence microscopy. However, it is difficult for conventional localization schemes based on the Gaussian fitting to locate overlapped high-density fluorescent emitters. Currently, in the spatial domain, the compressive-sensing-based algorithm (CSSTORM) can localize high-emitter-density images. However, the computational cost of this approach is extremely high, which limits its practical application. Here, we propose an alternative frequency-domain compressed sensing (FD-CS) technique for fast super-resolution imaging. Unlike the CSSTORM method, which is a measurement matrix based on the point spread function, a Fourier dictionary designed in the frequency domain and orthogonal matching pursuit is used to reliably recover the original signal. The simulation and experimental results prove that the FD-CS is 1000 times faster than CSSTORM with CVX and ten times faster than that with L1-Homotopy with almost the same localization accuracy and recall rate. This drastic reduction in computational time should allow the compressed sensing approach to be routinely applied to a super-resolution image analysis.https://ieeexplore.ieee.org/document/8556467/Fluorescence microscopyimage reconstruction techniquesmulti-frame image processingsuper-resolution
spellingShingle Saiwen Zhang
Jingjing Wu
Danni Chen
Siwei Li
Bin Yu
Junle Qu
Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
IEEE Photonics Journal
Fluorescence microscopy
image reconstruction techniques
multi-frame image processing
super-resolution
title Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
title_full Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
title_fullStr Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
title_full_unstemmed Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
title_short Fast Frequency-Domain Compressed Sensing Analysis for High-Density Super-Resolution Imaging Using Orthogonal Matching Pursuit
title_sort fast frequency domain compressed sensing analysis for high density super resolution imaging using orthogonal matching pursuit
topic Fluorescence microscopy
image reconstruction techniques
multi-frame image processing
super-resolution
url https://ieeexplore.ieee.org/document/8556467/
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AT dannichen fastfrequencydomaincompressedsensinganalysisforhighdensitysuperresolutionimagingusingorthogonalmatchingpursuit
AT siweili fastfrequencydomaincompressedsensinganalysisforhighdensitysuperresolutionimagingusingorthogonalmatchingpursuit
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