Journal of Innovative Science and Engineering
Research Article
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Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method

Year 2022, Volume: 6 Issue: 2, 297 - 313, 31.12.2022

Mustafa ÖZDEN

https://doi.org/10.38088/jise.978518

Abstract

The method of reflecting sinusoidal phase-shifted patterns to the surface, based on the demodulation technique of phase information, has been a popular method to obtain 3-D surface depth using 2-D images. The phase information that is extracted with this method is wrapped; so it must be unwrapped. Even though the phase information is unwrapped, there will be some errors because of the possibility of non-sinusoidal characteristics of phase patterns, surface discontinuities, low sample rates, and technical handicaps (poor calibration and hardware malfunctions, and so on). To deal with these errors resulting from the phase unwrapping process, there are some computationally expensive and complex methods that have been presented. In this paper, a fast and low complex local adaptive phase correction algorithm based on the four-step phase shifting method is implemented. The method is firstly validated by using synthetic data. After the validation process, an optic test system is realized, and a few experiments are performed by using physical real data. For the optical system used to physically acquire the data, a lookup table-based calibration technique has also been developed to obtain accurate surface phase information. The performance of the method is evaluated with simulation results and real data, and visually compared to popular unwrapping methods.

Keywords

3D surface reconstruction, fringe patterns, phase shifting, phase unwrapping.

References

  • [1] R.Zhao, H.Lu, M.Zhau, and C.Sun, “Surface Profiling Using a Modified Shadow Moire Technique”, 11th Int. Symposium on, Advanced Packaging Materials: Processes, Properties and Interface, 151-154, 2006.
  • [2] W.Chen, X.Su, Y.Cao, Z.Qc, and L. Xiang, “Method of Eliminating Zero Spectrum in Fourier Transform Profilometry”, Optics and Lasers in Engineering, vol.43, pp1267-1276, 2005.
  • [3] Y.Ichioka, and M. Inuiya, “Direct Phase Detection System”,Applied Optics, 11:1507-1514, 1972.
  • [4] P.S. Huang, and H. Guo, “Phase shifting shadow moiré using the Carré algorithm”, Proceedings of Spie,7066:1-7, 2008.
  • [5] Yicheng Zhao, Wenxiang Yan, Yuan Gao, Zheng Yuan, Zhi-Cheng Ren, Xi-Lin Wang, Jianping Ding , and Hui-Tian Wang, “High-Precision Calibration of Phase-Only Spatial Light Modulators”, IEEE Photonics Journal, 14(1), 2022
  • [6] J. Tang et al., “Local Phase Correction Method Based on Multi-Frequency Phase Heterodyne”, 26th International Conference on Automation and Computing (ICAC), pp. 1-6, 2021.
  • [7] Z. Zheng, J. Gao, J. Mo, L. Zhang and Q. Zhang, “A Fast Self-Correction Method for Nonlinear Sinusoidal Fringe Images in 3-D Measurement”, IEEE Transactions on Instrumentation and Measurement, 70, 1-9, 2021
  • [8] Limei Song et al, “Structured-Light Based 3D Reconstruction System for Cultural Relic Packaging”, Sensors, 18(9), 1-13, 2018.
  • [9] Y. Zhang, D. L. Lau and Y. Yu, “Causes and Corrections for Bimodal Multi-Path Scanning With Structured Light”, CVPR, 4426-4434, 2019,
  • [10] Wei Feng, Junhui Gao, Tong Qu, Shiqi Zhou and Daxing Zhao, “Three-Dimensional Reconstruction of Light Field Based on Phase Similarity”, Sensors, 21, 1-12, 2021.
  • [11] Zixin Zhao et al, “Robust 2D phase unwrapping algorithm based on the transport of intensity equation”, Measurement Science and Technology, 30, 015201, 2019
  • [12] H. Zhang, and H. Su “A Phase Unwrapping Algorithm for 3D Reconstruction”, SPND’07, 611-615, 2007.
  • [13] G.S. Siva, and L.K. Rao, “New Phase Unwrapping Strategy for Rapid and Dense 3D Data Acquisition in Structured Light Approach”, 5th Int. Workshop on Automatic Processing of Fringe Patterns,Stuttgart, Germany, 2005.
  • [14] H.B. Wu, Y. Chen, M. Y. Wu, C. R. Guan, and X. Y. Yu,“3D Measurement Technology by Structured Light Using Stripe-Edge-Based Gray Code”, Journal of Physics Conference Series,48:537–541, 2006.
  • [15] P. Wissmann, R. Schmitt, and F.Forster, “Fast and accurate 3D scanning using coded phase shifting and high speed pattern projection”, IEEE Conf. on 3DIMPVT,108-115, 2011.
  • [16] D. Ghiglia and M.Pritt, “Two-dimensional phase unwrapping theory, algorithms and applications”, John Wiley & Sons, 1998.
  • [17] J.Geng, “Structured-light 3D surface imaging: a tutorial”, Advances in Optics and Photonics, 3:128–160, 2011.
  • [18] Internet: “Camera Calibration Toolkit for Matlab”, https:\\www.vision.caltech.edu/bougetj/ calib.doc.
  • [19] B.A. Rajoub, D.R. Burton, and M.J.Lalor “A new phase-to-height model for measuring object shape using collimated projections of structured light”, Journal of Optics A: Pure and Applied Optics, 4:368-375, 2005.
  • [20]K. Itoh, “Analysis of the phase unwrapping problem,” Applied Optics, (21):14,2470,1982.
  • [21] R. Goldstein, H. Zebker, C. Werner, “Satellite radar interferometry—two-dimensional phase unwrapping”, Radio Sci., 23(4), 713–720, 1988
  • [22] Ming Zhao, Lei Huang, Qican Zhang, Xianyu Su, Anand Asundi, and Qian Kemao, “Quality-guided phase unwrapping technique: comparison of quality maps and guiding strategies, ” Appl. Opt., 50, 6214-6224, 2011.
  • [23]M.D.Pritt, “Comparison of Path-Following and Least-Squares Phase Unwrapping Algorithms”, IEEE Conf. on IGARSS, 2:872-874, 1997.

Year 2022, Volume: 6 Issue: 2, 297 - 313, 31.12.2022

Mustafa ÖZDEN

https://doi.org/10.38088/jise.978518

Abstract

References

  • [1] R.Zhao, H.Lu, M.Zhau, and C.Sun, “Surface Profiling Using a Modified Shadow Moire Technique”, 11th Int. Symposium on, Advanced Packaging Materials: Processes, Properties and Interface, 151-154, 2006.
  • [2] W.Chen, X.Su, Y.Cao, Z.Qc, and L. Xiang, “Method of Eliminating Zero Spectrum in Fourier Transform Profilometry”, Optics and Lasers in Engineering, vol.43, pp1267-1276, 2005.
  • [3] Y.Ichioka, and M. Inuiya, “Direct Phase Detection System”,Applied Optics, 11:1507-1514, 1972.
  • [4] P.S. Huang, and H. Guo, “Phase shifting shadow moiré using the Carré algorithm”, Proceedings of Spie,7066:1-7, 2008.
  • [5] Yicheng Zhao, Wenxiang Yan, Yuan Gao, Zheng Yuan, Zhi-Cheng Ren, Xi-Lin Wang, Jianping Ding , and Hui-Tian Wang, “High-Precision Calibration of Phase-Only Spatial Light Modulators”, IEEE Photonics Journal, 14(1), 2022
  • [6] J. Tang et al., “Local Phase Correction Method Based on Multi-Frequency Phase Heterodyne”, 26th International Conference on Automation and Computing (ICAC), pp. 1-6, 2021.
  • [7] Z. Zheng, J. Gao, J. Mo, L. Zhang and Q. Zhang, “A Fast Self-Correction Method for Nonlinear Sinusoidal Fringe Images in 3-D Measurement”, IEEE Transactions on Instrumentation and Measurement, 70, 1-9, 2021
  • [8] Limei Song et al, “Structured-Light Based 3D Reconstruction System for Cultural Relic Packaging”, Sensors, 18(9), 1-13, 2018.
  • [9] Y. Zhang, D. L. Lau and Y. Yu, “Causes and Corrections for Bimodal Multi-Path Scanning With Structured Light”, CVPR, 4426-4434, 2019,
  • [10] Wei Feng, Junhui Gao, Tong Qu, Shiqi Zhou and Daxing Zhao, “Three-Dimensional Reconstruction of Light Field Based on Phase Similarity”, Sensors, 21, 1-12, 2021.
  • [11] Zixin Zhao et al, “Robust 2D phase unwrapping algorithm based on the transport of intensity equation”, Measurement Science and Technology, 30, 015201, 2019
  • [12] H. Zhang, and H. Su “A Phase Unwrapping Algorithm for 3D Reconstruction”, SPND’07, 611-615, 2007.
  • [13] G.S. Siva, and L.K. Rao, “New Phase Unwrapping Strategy for Rapid and Dense 3D Data Acquisition in Structured Light Approach”, 5th Int. Workshop on Automatic Processing of Fringe Patterns,Stuttgart, Germany, 2005.
  • [14] H.B. Wu, Y. Chen, M. Y. Wu, C. R. Guan, and X. Y. Yu,“3D Measurement Technology by Structured Light Using Stripe-Edge-Based Gray Code”, Journal of Physics Conference Series,48:537–541, 2006.
  • [15] P. Wissmann, R. Schmitt, and F.Forster, “Fast and accurate 3D scanning using coded phase shifting and high speed pattern projection”, IEEE Conf. on 3DIMPVT,108-115, 2011.
  • [16] D. Ghiglia and M.Pritt, “Two-dimensional phase unwrapping theory, algorithms and applications”, John Wiley & Sons, 1998.
  • [17] J.Geng, “Structured-light 3D surface imaging: a tutorial”, Advances in Optics and Photonics, 3:128–160, 2011.
  • [18] Internet: “Camera Calibration Toolkit for Matlab”, https:\\www.vision.caltech.edu/bougetj/ calib.doc.
  • [19] B.A. Rajoub, D.R. Burton, and M.J.Lalor “A new phase-to-height model for measuring object shape using collimated projections of structured light”, Journal of Optics A: Pure and Applied Optics, 4:368-375, 2005.
  • [20]K. Itoh, “Analysis of the phase unwrapping problem,” Applied Optics, (21):14,2470,1982.
  • [21] R. Goldstein, H. Zebker, C. Werner, “Satellite radar interferometry—two-dimensional phase unwrapping”, Radio Sci., 23(4), 713–720, 1988
  • [22] Ming Zhao, Lei Huang, Qican Zhang, Xianyu Su, Anand Asundi, and Qian Kemao, “Quality-guided phase unwrapping technique: comparison of quality maps and guiding strategies, ” Appl. Opt., 50, 6214-6224, 2011.
  • [23]M.D.Pritt, “Comparison of Path-Following and Least-Squares Phase Unwrapping Algorithms”, IEEE Conf. on IGARSS, 2:872-874, 1997.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Mustafa ÖZDEN
BURSA TECHNICAL UNIVERSITY
0000-0002-0362-4017
Türkiye

Early Pub Date October 11, 2022
Publication Date December 31, 2022
Published in Issue Year 2022Volume: 6 Issue: 2

Cite

Bibtex @research article { jise978518, journal = {Journal of Innovative Science and Engineering}, eissn = {2602-4217}, address = {ursa Technical University, Mimar Sinan Campus, Mimar Sinan Mah. Mimar Sinan Blv. Eflak Cad. No:177 16310 Yıldırım, Bursa / Turkey}, publisher = {Bursa Technical University}, year = {2022}, volume = {6}, number = {2}, pages = {297 - 313}, doi = {10.38088/jise.978518}, title = {Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method}, key = {cite}, author = {Özden, Mustafa} }
APA Özden, M. (2022). Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method . Journal of Innovative Science and Engineering , 6 (2) , 297-313 . DOI: 10.38088/jise.978518
MLA Özden, M. "Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method" . Journal of Innovative Science and Engineering 6 (2022 ): 297-313 <http://jise.btu.edu.tr/en/pub/issue/72956/978518>
Chicago Özden, M. "Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method". Journal of Innovative Science and Engineering 6 (2022 ): 297-313
RIS TY - JOUR T1 - Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method AU - MustafaÖzden Y1 - 2022 PY - 2022 N1 - doi: 10.38088/jise.978518 DO - 10.38088/jise.978518 T2 - Journal of Innovative Science and Engineering JF - Journal JO - JOR SP - 297 EP - 313 VL - 6 IS - 2 SN - -2602-4217 M3 - doi: 10.38088/jise.978518 UR - https://doi.org/10.38088/jise.978518 Y2 - 2022 ER -
EndNote %0 Journal of Innovative Science and Engineering Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method %A Mustafa Özden %T Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method %D 2022 %J Journal of Innovative Science and Engineering %P -2602-4217 %V 6 %N 2 %R doi: 10.38088/jise.978518 %U 10.38088/jise.978518
ISNAD Özden, Mustafa . "Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method". Journal of Innovative Science and Engineering 6 / 2 (December 2022): 297-313 . https://doi.org/10.38088/jise.978518
AMA Özden M. Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method. JISE. 2022; 6(2): 297-313.
Vancouver Özden M. Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method. Journal of Innovative Science and Engineering. 2022; 6(2): 297-313.
IEEE M. Özden , "Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method", Journal of Innovative Science and Engineering, vol. 6, no. 2, pp. 297-313, Dec. 2022, doi:10.38088/jise.978518
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