[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.
[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.
Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method
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.
[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.
[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.
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. 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. December 2022;6(2):297-313. doi:10.38088/jise.978518
Chicago
Özden, Mustafa. “Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method”. Journal of Innovative Science and Engineering 6, no. 2 (December 2022): 297-313. https://doi.org/10.38088/jise.978518.
EndNote
Özden M (December 1, 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.
IEEE
M. Özden, “Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method”, JISE, vol. 6, no. 2, pp. 297–313, 2022, doi: 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.
JAMA
Özden M. Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method. JISE. 2022;6:297–313.
MLA
Özden, Mustafa. “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, 2022, pp. 297-13, doi:10.38088/jise.978518.
Vancouver
Özden M. Local Adaptive Phase Correction Algorithm For 3-D Profilometry Systems Based on Phase Shifting Method. JISE. 2022;6(2):297-313.