Phase Unwrapped Method of Modified Fringe Order

Tian Yi; Chang Li

doi:doi:10.11648/j.ajece.20220601.15

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Phase Unwrapped Method of Modified Fringe Order

Tian Yi, Chang Li

Published in American Journal of Electrical and Computer Engineering (Volume 6, Issue 1)

Received: 8 May 2022 Accepted: 13 June 2022 Published: 16 June 2022

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Abstract

Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.

Published in	American Journal of Electrical and Computer Engineering (Volume 6, Issue 1)
DOI	10.11648/j.ajece.20220601.15
Page(s)	40-46
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Measurement, Structured Light, Three-Frequency Heterodyne, Phase Unwrapped, Phase Error Correction

References

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[3]	Huang H M, Liu G H, Duan K R. Robotic grasping based on micro-galvo mirror structured light projector [J]. China Laser, 2019, 46 (02): 93-101.
[4]	Song L M, Li X Y, Yang Y G, Zhu X J, Guo Q H, Liu H. Structured-Light Based three-dimensional Reconstruction System for Cultural Relic Packaging [J]. Sensors, 2018, 18 (9): 2981.
[5]	Li J, Guan J T, Du H, Xi J T. Error self-correction method for phase jump in multi-frequency phase-shifting structured light [J]. Applied optics, 2021, 60 (4): 949-958.
[6]	Han Y, Yang Y Z, Su X L A phase unwrapped method based on multi-frequency heterodyne [J]. Journal of Donghua University (Natural Science Edition), 2021, 47 (05): 105-110+127.
[7]	Deng S C, Chen Y H, Huang Y, Mei F. Research on improved phase based on structured light three-dimensional reconstruction system [J]. Combined Machine Tool and Automated Machining Technology, 2021 (11): 31-34+38.
[8]	Zheng D L, Da F P. Gamma correction technology to improve the accuracy of digital fringe projection measurement system [J]. Journal of Optics, 2011, 31 (05): 124-129.
[9]	Zhang S. Flexible three-dimensional shape measurement using projector defocusing: extended measurement range [J]. Optics Letters, 2010, 35 (7): 934-936.
[10]	Zhang C W, Zhao H, Zhang L, et al. Full-field phase error detection and compensation method for digital phase-shifting fringe projection profilometry [J]. Measurement Science and Technology, 2015, 26 (3): 035201.
[11]	Xing S, Guo H. Correction of projector nonlinearity in multi-frequency phase-shifting fringe projection profilometry [J]. Optics Express, 2018, 26 (13): 16277-16291.
[12]	Chen S L, Zhao J B, Xia R B. Improvement of phase unwrapped method based on multi-frequency heterodyne principle [J]. Journal of Optics, 2016, 36 (04): 155-165.
[13]	Gu Q Q, Lv S S, Jiang M S, Zhang L, Zhang F Y, Sui Q M. Structured light imaging wrapped phase demodulation algorithm based on dual frequency heterodyne and phase shift method [J]. Instrument Technology and Sensors, 2020 (03): 105-109.
[14]	Shi B, Liu H L, Ma Z J. Phase error correction method based on multi-level fringe orders correction [J]. Advances in Lasers and Optoelectronics, 2020, 57 (17): 141-148.
[15]	Li Z H, Wang L L. Simulation and experimental research on time phase unwrapped algorithm [J]. Computer Simulation, 2020, 37 (02): 289-293.

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APA Style

Tian Yi, Chang Li. (2022). Phase Unwrapped Method of Modified Fringe Order. American Journal of Electrical and Computer Engineering, 6(1), 40-46. https://doi.org/10.11648/j.ajece.20220601.15

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ACS Style

Tian Yi; Chang Li. Phase Unwrapped Method of Modified Fringe Order. Am. J. Electr. Comput. Eng. 2022, 6(1), 40-46. doi: 10.11648/j.ajece.20220601.15

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AMA Style

Tian Yi, Chang Li. Phase Unwrapped Method of Modified Fringe Order. Am J Electr Comput Eng. 2022;6(1):40-46. doi: 10.11648/j.ajece.20220601.15

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@article{10.11648/j.ajece.20220601.15,
  author = {Tian Yi and Chang Li},
  title = {Phase Unwrapped Method of Modified Fringe Order},
  journal = {American Journal of Electrical and Computer Engineering},
  volume = {6},
  number = {1},
  pages = {40-46},
  doi = {10.11648/j.ajece.20220601.15},
  url = {https://doi.org/10.11648/j.ajece.20220601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajece.20220601.15},
  abstract = {Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.},
 year = {2022}
}

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TY  - JOUR
T1  - Phase Unwrapped Method of Modified Fringe Order
AU  - Tian Yi
AU  - Chang Li
Y1  - 2022/06/16
PY  - 2022
N1  - https://doi.org/10.11648/j.ajece.20220601.15
DO  - 10.11648/j.ajece.20220601.15
T2  - American Journal of Electrical and Computer Engineering
JF  - American Journal of Electrical and Computer Engineering
JO  - American Journal of Electrical and Computer Engineering
SP  - 40
EP  - 46
PB  - Science Publishing Group
SN  - 2640-0502
UR  - https://doi.org/10.11648/j.ajece.20220601.15
AB  - Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.
VL  - 6
IS  - 1
ER  -

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Author Information

Tian Yi

School of Information Science and Engineering, Shenyang University of Technology, Shenyang, China
Chang Li

School of Information Science and Engineering, Shenyang University of Technology, Shenyang, China

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APA Style

Tian Yi, Chang Li. (2022). Phase Unwrapped Method of Modified Fringe Order. American Journal of Electrical and Computer Engineering, 6(1), 40-46. https://doi.org/10.11648/j.ajece.20220601.15

Copy | Download

ACS Style

Tian Yi; Chang Li. Phase Unwrapped Method of Modified Fringe Order. Am. J. Electr. Comput. Eng. 2022, 6(1), 40-46. doi: 10.11648/j.ajece.20220601.15

Copy | Download

AMA Style

Tian Yi, Chang Li. Phase Unwrapped Method of Modified Fringe Order. Am J Electr Comput Eng. 2022;6(1):40-46. doi: 10.11648/j.ajece.20220601.15

Copy | Download

@article{10.11648/j.ajece.20220601.15,
  author = {Tian Yi and Chang Li},
  title = {Phase Unwrapped Method of Modified Fringe Order},
  journal = {American Journal of Electrical and Computer Engineering},
  volume = {6},
  number = {1},
  pages = {40-46},
  doi = {10.11648/j.ajece.20220601.15},
  url = {https://doi.org/10.11648/j.ajece.20220601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajece.20220601.15},
  abstract = {Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Phase Unwrapped Method of Modified Fringe Order
AU  - Tian Yi
AU  - Chang Li
Y1  - 2022/06/16
PY  - 2022
N1  - https://doi.org/10.11648/j.ajece.20220601.15
DO  - 10.11648/j.ajece.20220601.15
T2  - American Journal of Electrical and Computer Engineering
JF  - American Journal of Electrical and Computer Engineering
JO  - American Journal of Electrical and Computer Engineering
SP  - 40
EP  - 46
PB  - Science Publishing Group
SN  - 2640-0502
UR  - https://doi.org/10.11648/j.ajece.20220601.15
AB  - Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.
VL  - 6
IS  - 1
ER  -

Copy | Download