Physics-informed deep learning for fringe pattern analysis

Recently, deep learning has yielded transformative success across optics and photonics, especially in optical metrology. Deep neural networks (DNNs) with a fully convolutional architecture (e.g., U-Net and its derivatives) have been widely implemented in an end-to-end manner to accomplish various op...

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Main Authors: Wei Yin, Yuxuan Che, Xinsheng Li, Mingyu Li, Yan Hu, Shijie Feng, Edmund Y. Lam, Qian Chen, Chao Zuo
Format: Article
Language:English
Published: Institue of Optics and Electronics, Chinese Academy of Sciences 2024-01-01
Series:Opto-Electronic Advances
Subjects:
Online Access:https://www.oejournal.org/article/doi/10.29026/oea.2024.230034
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author Wei Yin
Yuxuan Che
Xinsheng Li
Mingyu Li
Yan Hu
Shijie Feng
Edmund Y. Lam
Qian Chen
Chao Zuo
author_facet Wei Yin
Yuxuan Che
Xinsheng Li
Mingyu Li
Yan Hu
Shijie Feng
Edmund Y. Lam
Qian Chen
Chao Zuo
author_sort Wei Yin
collection DOAJ
description Recently, deep learning has yielded transformative success across optics and photonics, especially in optical metrology. Deep neural networks (DNNs) with a fully convolutional architecture (e.g., U-Net and its derivatives) have been widely implemented in an end-to-end manner to accomplish various optical metrology tasks, such as fringe denoising, phase unwrapping, and fringe analysis. However, the task of training a DNN to accurately identify an image-to-image transform from massive input and output data pairs seems at best naïve, as the physical laws governing the image formation or other domain expertise pertaining to the measurement have not yet been fully exploited in current deep learning practice. To this end, we introduce a physics-informed deep learning method for fringe pattern analysis (PI-FPA) to overcome this limit by integrating a lightweight DNN with a learning-enhanced Fourier transform profilometry (LeFTP) module. By parameterizing conventional phase retrieval methods, the LeFTP module embeds the prior knowledge in the network structure and the loss function to directly provide reliable phase results for new types of samples, while circumventing the requirement of collecting a large amount of high-quality data in supervised learning methods. Guided by the initial phase from LeFTP, the phase recovery ability of the lightweight DNN is enhanced to further improve the phase accuracy at a low computational cost compared with existing end-to-end networks. Experimental results demonstrate that PI-FPA enables more accurate and computationally efficient single-shot phase retrieval, exhibiting its excellent generalization to various unseen objects during training. The proposed PI-FPA presents that challenging issues in optical metrology can be potentially overcome through the synergy of physics-priors-based traditional tools and data-driven learning approaches, opening new avenues to achieve fast and accurate single-shot 3D imaging.
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spelling doaj.art-1dd446060d2c4d5e937400dc8e6c693a2024-03-14T06:14:23ZengInstitue of Optics and Electronics, Chinese Academy of SciencesOpto-Electronic Advances2096-45792024-01-017111210.29026/oea.2024.230034OEA-2023-0034ZuochaoPhysics-informed deep learning for fringe pattern analysisWei Yin0Yuxuan Che1Xinsheng Li2Mingyu Li3Yan Hu4Shijie Feng5Edmund Y. Lam6Qian Chen7Chao Zuo8Smart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaDepartment of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam, Hong Kong SAR 999077, ChinaJiangsu Key Laboratory of Spectral Imaging Intelligent Sense, Nanjing 210094, ChinaSmart Computational Imaging Laboratory (SCILab), School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaRecently, deep learning has yielded transformative success across optics and photonics, especially in optical metrology. Deep neural networks (DNNs) with a fully convolutional architecture (e.g., U-Net and its derivatives) have been widely implemented in an end-to-end manner to accomplish various optical metrology tasks, such as fringe denoising, phase unwrapping, and fringe analysis. However, the task of training a DNN to accurately identify an image-to-image transform from massive input and output data pairs seems at best naïve, as the physical laws governing the image formation or other domain expertise pertaining to the measurement have not yet been fully exploited in current deep learning practice. To this end, we introduce a physics-informed deep learning method for fringe pattern analysis (PI-FPA) to overcome this limit by integrating a lightweight DNN with a learning-enhanced Fourier transform profilometry (LeFTP) module. By parameterizing conventional phase retrieval methods, the LeFTP module embeds the prior knowledge in the network structure and the loss function to directly provide reliable phase results for new types of samples, while circumventing the requirement of collecting a large amount of high-quality data in supervised learning methods. Guided by the initial phase from LeFTP, the phase recovery ability of the lightweight DNN is enhanced to further improve the phase accuracy at a low computational cost compared with existing end-to-end networks. Experimental results demonstrate that PI-FPA enables more accurate and computationally efficient single-shot phase retrieval, exhibiting its excellent generalization to various unseen objects during training. The proposed PI-FPA presents that challenging issues in optical metrology can be potentially overcome through the synergy of physics-priors-based traditional tools and data-driven learning approaches, opening new avenues to achieve fast and accurate single-shot 3D imaging.https://www.oejournal.org/article/doi/10.29026/oea.2024.230034optical metrologydeep learningphysics-informed neural networksfringe analysisphase retrieval
spellingShingle Wei Yin
Yuxuan Che
Xinsheng Li
Mingyu Li
Yan Hu
Shijie Feng
Edmund Y. Lam
Qian Chen
Chao Zuo
Physics-informed deep learning for fringe pattern analysis
Opto-Electronic Advances
optical metrology
deep learning
physics-informed neural networks
fringe analysis
phase retrieval
title Physics-informed deep learning for fringe pattern analysis
title_full Physics-informed deep learning for fringe pattern analysis
title_fullStr Physics-informed deep learning for fringe pattern analysis
title_full_unstemmed Physics-informed deep learning for fringe pattern analysis
title_short Physics-informed deep learning for fringe pattern analysis
title_sort physics informed deep learning for fringe pattern analysis
topic optical metrology
deep learning
physics-informed neural networks
fringe analysis
phase retrieval
url https://www.oejournal.org/article/doi/10.29026/oea.2024.230034
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AT yanhu physicsinformeddeeplearningforfringepatternanalysis
AT shijiefeng physicsinformeddeeplearningforfringepatternanalysis
AT edmundylam physicsinformeddeeplearningforfringepatternanalysis
AT qianchen physicsinformeddeeplearningforfringepatternanalysis
AT chaozuo physicsinformeddeeplearningforfringepatternanalysis