Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review

Zuo, Chao; Huang, Lei; Zhang, Minliang; Chen, Qian; Asundi, Anand

doi:10.1016/j.optlaseng.2016.04.022

Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review

Journal Article · Fri May 06 00:00:00 EDT 2016 · Optics and Lasers in Engineering

DOI:https://doi.org/10.1016/j.optlaseng.2016.04.022· OSTI ID:1340396

Zuo, Chao ^[1]; Huang, Lei ^[2]; Zhang, Minliang ^[1]; Chen, Qian ^[3]; Asundi, Anand ^[4]

Nanjing Univ. of Science and Technology, Nanjing (China). Smart Computational Imaging Lab. (SCILab); Nanjing Univ. of Science and Technology, Nanjing (China). Jiangsu Key Lab. of Spectral Imaging & Intelligent Sense
Brookhaven National Lab. (BNL), Upton, NY (United States)
Nanjing Univ. of Science and Technology, Nanjing (China). Jiangsu Key Lab. of Spectral Imaging & Intelligent Sense
Nanyang Technological Univ., Singapore (Singapore). Centre for Optical and Laser Engineering (COLE), School of Mechanical and Aerospace Engineering

In fringe projection pro lometry (FPP), temporal phase unwrapping is an essential procedure to recover an unambiguous absolute phase even in the presence of large discontinuities or spatially isolated surfaces. So far, there are typically three groups of temporal phase unwrapping algorithms proposed in the literature: multi-frequency (hierarchical) approach, multi-wavelength (heterodyne) approach, and number-theoretical approach. In this paper, the three methods are investigated and compared in details by analytical, numerical, and experimental means. The basic principles and recent developments of the three kind of algorithms are firstly reviewed. Then, the reliability of different phase unwrapping algorithms is compared based on a rigorous stochastic noise model. Moreover, this noise model is used to predict the optimum fringe period for each unwrapping approach, which is a key factor governing the phase measurement accuracy in FPP. Simulations and experimental results verified the correctness and validity of the proposed noise model as well as the prediction scheme. The results show that the multi-frequency temporal phase unwrapping provides the best unwrapping reliability, while the multi-wavelength approach is the most susceptible to noise-induced unwrapping errors.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Natural Science Fund of China

Grant/Contract Number:: SC0012704

OSTI ID:: 1340396

Alternate ID(s):: OSTI ID: 1354578

Report Number(s):: BNL--112695-2016-JA

Journal Information:: Optics and Lasers in Engineering, Journal Name: Optics and Lasers in Engineering Journal Issue: C Vol. 85; ISSN 0143-8166

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Calibration of AOTF-based 3D measurement system using multiplane model based on phase fringe and BP neural network Zhao, Huijie; Shi, Shaoguang; Jiang, Hongzhi Optics Express, Vol. 25, Issue 9 https://doi.org/10.1364/oe.25.010413	journal	January 2017
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3D shape measurement of discontinuous specular objects based on advanced PMD with bi-telecentric lens Niu, Zhenqi; Gao, Nan; Zhang, Zonghua Optics Express, Vol. 26, Issue 2 https://doi.org/10.1364/oe.26.001615	journal	January 2018
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High-speed real-time 3D shape measurement based on adaptive depth constraint Tao, Tianyang; Chen, Qian; Feng, Shijie Optics Express, Vol. 26, Issue 17 https://doi.org/10.1364/oe.26.022440	journal	January 2018
High-speed three-dimensional shape measurement based on cyclic complementary Gray-code light Wu, Zhoujie; Zuo, Chao; Guo, Wenbo Optics Express, Vol. 27, Issue 2 https://doi.org/10.1364/oe.27.001283	journal	January 2019
High-speed 3D shape measurement using the optimized composite fringe patterns and stereo-assisted structured light system Yin, Wei; Feng, Shijie; Tao, Tianyang Optics Express, Vol. 27, Issue 3 https://doi.org/10.1364/oe.27.002411	journal	January 2019
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High-speed three-dimensional shape measurement based on shifting Gray-code light Wu, Zhoujie; Guo, Wenbo; Zhang, Qican Optics Express, Vol. 27, Issue 16 https://doi.org/10.1364/oe.27.022631	journal	January 2019
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Light-field-based absolute phase unwrapping Cai, Zewei; Liu, Xiaoli; Chen, Zhizhen Optics Letters, Vol. 43, Issue 23 https://doi.org/10.1364/ol.43.005717	journal	January 2018
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3D Face Profilometry Based on Galvanometer Scanner with Infrared Fringe Projection in High Speed Xue, Junpeng; Zhang, Qican; Li, Chenghang Applied Sciences, Vol. 9, Issue 7 https://doi.org/10.3390/app9071458	journal	April 2019
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Algoritmos de desplazamiento de fase de siete cuadros para la perfilometría tridimensional usando proyección de franjas y cómputo suave Cruz-Landeros, Jose Juan; Mosiño, Juan Francisco; Martínez-Rebollar, Alicia Journal of Computational Systems and ICTs https://doi.org/10.35429/jcsi.2019.16.5.1.8	journal	December 2019
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