Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging

As a non-interferometric method, the transport of intensity equation (TIE) method suits for quantitative phase imaging with the commercial microscope platform, especially those higher order TIE approaches which can realize precise phase retrieval by eliminating undesired higher order derivatives are...

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Main Authors: Junbao Hu, Qi Wei, Yan Kong, Zhilong Jiang, Liang Xue, Fei Liu, Dug Young Kim, Cheng Liu, Shouyu Wang
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Photonics Journal
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Online Access:https://ieeexplore.ieee.org/document/8723512/
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author Junbao Hu
Qi Wei
Yan Kong
Zhilong Jiang
Liang Xue
Fei Liu
Dug Young Kim
Cheng Liu
Shouyu Wang
author_facet Junbao Hu
Qi Wei
Yan Kong
Zhilong Jiang
Liang Xue
Fei Liu
Dug Young Kim
Cheng Liu
Shouyu Wang
author_sort Junbao Hu
collection DOAJ
description As a non-interferometric method, the transport of intensity equation (TIE) method suits for quantitative phase imaging with the commercial microscope platform, especially those higher order TIE approaches which can realize precise phase retrieval by eliminating undesired higher order derivatives are widely used. However, these approaches are mostly adopted separately without considering their phase retrieval precision in various noise levels. In this paper, we first compared these classical higher order TIE approaches through theoretical analysis, numerical simulations, and experiments. Then, based on the quantitative comparisons mainly focusing on their phase retrieval accuracy and noise suppression capability, we determine the application scope corresponding to different noise levels of each higher order TIE approach. Finally, in order to deal with different noisy cases, we design the hybrid higher order TIE application, in which the specific higher order TIE approach is selected for phase retrieval according to the precise noise estimation, and the performance of the hybrid higher order TIE application is tested by both the numerical simulations and the experiments, proving it can perform high-quality phase imaging by balancing the tradeoff between the phase retrieval accuracy and the noise influence. The paper not only provides a systematic reference for analysis and comparisons on different higher order TIE approaches, but also proposes the hybrid application for noise adaptive phase imaging, which can be a potential tool in biological observations and medical diagnostics.
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spelling doaj-art-85d792eadd7645ef9b2e05f9000a80cd2025-08-20T03:33:21ZengIEEEIEEE Photonics Journal1943-06552019-01-0111311410.1109/JPHOT.2019.29195438723512Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase ImagingJunbao Hu0Qi Wei1Yan Kong2https://orcid.org/0000-0001-6680-0260Zhilong Jiang3https://orcid.org/0000-0003-2240-3428Liang Xue4Fei Liu5Dug Young Kim6Cheng Liu7Shouyu Wang8https://orcid.org/0000-0002-0466-1274Computational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaComputational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaComputational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaComputational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaCollege of Electronics and Information Engineering, Shanghai University of Electric Power, Shanghai, ChinaSingle Molecule Nanometry Laboratory, Nanjing Agricultural University, Nanjing, ChinaDepartment of Physics, Yonsei University, Seodaemun-gu, South KoreaComputational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaComputational Optics Laboratory, Department of Optoelectric Information Science and Technology, School of Science, Jiangnan University, Wuxi, ChinaAs a non-interferometric method, the transport of intensity equation (TIE) method suits for quantitative phase imaging with the commercial microscope platform, especially those higher order TIE approaches which can realize precise phase retrieval by eliminating undesired higher order derivatives are widely used. However, these approaches are mostly adopted separately without considering their phase retrieval precision in various noise levels. In this paper, we first compared these classical higher order TIE approaches through theoretical analysis, numerical simulations, and experiments. Then, based on the quantitative comparisons mainly focusing on their phase retrieval accuracy and noise suppression capability, we determine the application scope corresponding to different noise levels of each higher order TIE approach. Finally, in order to deal with different noisy cases, we design the hybrid higher order TIE application, in which the specific higher order TIE approach is selected for phase retrieval according to the precise noise estimation, and the performance of the hybrid higher order TIE application is tested by both the numerical simulations and the experiments, proving it can perform high-quality phase imaging by balancing the tradeoff between the phase retrieval accuracy and the noise influence. The paper not only provides a systematic reference for analysis and comparisons on different higher order TIE approaches, but also proposes the hybrid application for noise adaptive phase imaging, which can be a potential tool in biological observations and medical diagnostics.https://ieeexplore.ieee.org/document/8723512/Phase imagingnoise in imaging systemstransport of intensity equation
spellingShingle Junbao Hu
Qi Wei
Yan Kong
Zhilong Jiang
Liang Xue
Fei Liu
Dug Young Kim
Cheng Liu
Shouyu Wang
Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
IEEE Photonics Journal
Phase imaging
noise in imaging systems
transport of intensity equation
title Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
title_full Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
title_fullStr Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
title_full_unstemmed Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
title_short Higher Order Transport of Intensity Equation Methods: Comparisons and Their Hybrid Application for Noise Adaptive Phase Imaging
title_sort higher order transport of intensity equation methods comparisons and their hybrid application for noise adaptive phase imaging
topic Phase imaging
noise in imaging systems
transport of intensity equation
url https://ieeexplore.ieee.org/document/8723512/
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