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

Abstract

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.

Authors:
 [1];  [2];  [1];  [3];  [4]
  1. 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
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Nanjing Univ. of Science and Technology, Nanjing (China). Jiangsu Key Lab. of Spectral Imaging & Intelligent Sense
  4. Nanyang Technological Univ., Singapore (Singapore). Centre for Optical and Laser Engineering (COLE), School of Mechanical and Aerospace Engineering
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Fund of China
OSTI Identifier:
1340396
Report Number(s):
BNL-112695-2016-JA
Journal ID: ISSN 0143-8166
Grant/Contract Number:  
SC0012704; 11574152; 61505081
Resource Type:
Accepted Manuscript
Journal Name:
Optics and Lasers in Engineering
Additional Journal Information:
Journal Volume: 85; Journal Issue: C; Journal ID: ISSN 0143-8166
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Phase measurement; Fringe projection profilometry; Temporal phase unwrapping

Citation Formats

Zuo, Chao, Huang, Lei, Zhang, Minliang, Chen, Qian, and Asundi, Anand. Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review. United States: N. p., 2016. Web. https://doi.org/10.1016/j.optlaseng.2016.04.022.
Zuo, Chao, Huang, Lei, Zhang, Minliang, Chen, Qian, & Asundi, Anand. Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review. United States. https://doi.org/10.1016/j.optlaseng.2016.04.022
Zuo, Chao, Huang, Lei, Zhang, Minliang, Chen, Qian, and Asundi, Anand. Fri . "Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review". United States. https://doi.org/10.1016/j.optlaseng.2016.04.022. https://www.osti.gov/servlets/purl/1340396.
@article{osti_1340396,
title = {Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review},
author = {Zuo, Chao and Huang, Lei and Zhang, Minliang and Chen, Qian and Asundi, Anand},
abstractNote = {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.},
doi = {10.1016/j.optlaseng.2016.04.022},
journal = {Optics and Lasers in Engineering},
number = C,
volume = 85,
place = {United States},
year = {2016},
month = {5}
}

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Cited by: 54 works
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Figures / Tables:

Figure 1 Figure 1: Schematic diagram of a FPP setup. Point A is the pixel on the projected pattern, Point B is where it falls on the object surface, and point C is what the camera sees. The 3D geometry can be triangulated, if correspondence among A, B, and C can bemore » established.« less

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    • Applied Sciences, Vol. 9, Issue 7
    • DOI: 10.3390/app9071458

    Defocusing parameter selection strategies based on PSF measurement for square-binary defocusing fringe projection profilometry
    journal, January 2018

    • Wang, Yunfan; Zhao, Huijie; Jiang, Hongzhi
    • Optics Express, Vol. 26, Issue 16
    • DOI: 10.1364/oe.26.020351

    Unfocused plenoptic metric modeling and calibration
    journal, January 2019

    • Cai, Zewei; Liu, Xiaoli; Pedrini, Giancarlo
    • Optics Express, Vol. 27, Issue 15
    • DOI: 10.1364/oe.27.020177

    High-precision real-time 3D shape measurement using a bi-frequency scheme and multi-view system
    journal, January 2017

    • Tao, Tianyang; Chen, Qian; Feng, Shijie
    • Applied Optics, Vol. 56, Issue 13
    • DOI: 10.1364/ao.56.003646

    Motion-oriented high speed 3-D measurements by binocular fringe projection using binary aperiodic patterns
    journal, January 2017


    High-speed three-dimensional shape measurement based on shifting Gray-code light
    journal, January 2019


    A 3D measuring endoscope for hand-guided operation
    other, January 2018

    • Matthias, Steffen; Kästner, Markus; Reithmeier, Eduard
    • London : IOP
    • DOI: 10.15488/5158

    Genetically Encoded Phase Contrast Agents for Digital Holographic Microscopy
    journal, October 2020