Skip to main content
SpringerLink
Log in

Computer-generated moiré profilometry based on flat image demodulation

  • Regular Paper
  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

A computer-generated moiré profilometry based on flat image demodulation is proposed. A sinusoidal fringe pattern and its background light are modulated by two-frequency carrier fringes, respectively, to combine a composite grating. While this composite grating is projected onto the measured object, the composite deformed pattern can be captured by CCD camera. So the sinusoidal deformed pattern and its corresponding flat image can be demodulated from the composite deformed pattern. And the AC component of sinusoidal deformed pattern is calculated by the subtraction between the demodulated sinusoidal deformed pattern and the flat image. Compared with normal computer-generated moiré profilometry, a more intact AC component can be obtained directly no matter how severe the frequency aliasing condition is. Meanwhile, the three-dimensional (3D) shape of object can be reconstructed only using this composite deformed pattern which shows the application in real-time measurement. Experimental results show the feasibility and validity of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig.1
Fig.2
Fig.3
Fig.4
Fig.5
Fig.6
Fig.7
Fig.8
Fig.9

Similar content being viewed by others

Data availability

Not applicable.

Code availability

Not applicable

References

  1. Chen, F., Brown, G.M., Song, M.: Overview of 3-D shape measurement using optical methods. Opt. Eng. 39(1), 10–23 (2000)

    Article  ADS  Google Scholar 

  2. Huang, P.S., Zhang, C., Chiang, F.P.: High-speed 3-D shape measurement based on digital fringe projection. Opt. Eng. 42(1), 163–169 (2003)

    Article  ADS  Google Scholar 

  3. Su, X., Zhang, Q.: Dynamic 3-D shape measurement method: a review. Opt. Lasers Eng. 48(2), 191–204 (2010)

    Article  ADS  Google Scholar 

  4. Zhang, S.: Recent progresses on real-time 3D shape measurement using digital fringe projection techniques. Opt. Lasers Eng. 48(2), 149–158 (2010)

    Article  ADS  Google Scholar 

  5. Takeda, M., Mutoh, K.: Fourier transform profilometry for the automatic measurement of 3-D object shapes. Appl. Opt. 22(24), 3977–3982 (1983)

    Article  ADS  Google Scholar 

  6. Maurel, A., Cobelli, P., Pagneux, V., Petitjeans, P.: Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry. Appl. Opt. 48(2), 380–392 (2009)

    Article  ADS  Google Scholar 

  7. Huang, L., Kemao, Q., Pan, B., Asundi, A.K.: Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry. Opt. Lasers Eng. 48(2), 141–148 (2010)

    Article  Google Scholar 

  8. Zappa, E., Busca, G.: Static and dynamic features of Fourier transform profilometry: a review. Opt. Lasers Eng. 50(8), 1140–1151 (2012)

    Article  Google Scholar 

  9. Yun, H., Li, B., Zhang, S.: Pixel-by-pixel absolute three-dimensional shape measurement with modified Fourier transform profilometry. Appl. Opt. 56(5), 1472–1480 (2017)

    Article  ADS  Google Scholar 

  10. Halioua, M., Liu, H.C.: Optical three-dimensional sensing by phase measuring profilometry. Opt. Lasers Eng. 11(3), 185–215 (1989)

    Article  Google Scholar 

  11. Xian, T., Su, X.: Area modulation grating for sinusoidal structure illumination on phase-measuring profilometry. Appl. Opt. 40(8), 1201–1206 (2001)

    Article  ADS  Google Scholar 

  12. Kim, E.H., Hahn, J., Kim, H., Lee, B.: Profilometry without phase unwrapping using multi-frequency and four-step phase-shift sinusoidal fringe projection. Opt. Express 17(10), 7818–7830 (2009)

    Article  ADS  Google Scholar 

  13. Huang, P.S., Hu, Q., Jin, F., Chiang, F.P.: Color-encoded digital fringe projection technique for high-speed 3-D surface contouring. Optical Eng. 38(6), 1065–1072 (1999)

    Article  ADS  Google Scholar 

  14. Liu, W., Wang, Z., Mu, G., Fang, Z.: Color-coded projection grating method for shape measurement with a single exposure. Appl. Opt. 39(20), 3504–3508 (2000)

    Article  ADS  Google Scholar 

  15. Cao, Y., Su, X.: RGB tricolor based fast phase measuring profilometry. Proc. SPIE 4919(1), 528–535 (2002)

    Article  ADS  Google Scholar 

  16. Su, W.H.: Color-encoded fringe projection for 3D shape measurements. Opt. Express 15(20), 13167–13181 (2007)

    Article  ADS  Google Scholar 

  17. Wan, Y.Y., Cao, Y.P., Chen, C.: Single-shot real-time three dimensional measurement based on hue-height mapping. Opt. Commun 416, 10–18 (2018)

    Article  ADS  Google Scholar 

  18. Li, C., Cao, Y., Chen, C., Wan, Y., Fu, G., Wang, Y.: Computer-generated Moiré profilometry. Opt. Express 25(22), 26815–26824 (2017)

    Article  ADS  Google Scholar 

  19. Idesawa, M., Yatagai, T., Soma, T.: Scanning moiré method and automatic measurement of 3-d shapes. Appl. Opt. 16(8), 2152 (1977)

    Article  ADS  Google Scholar 

  20. Miwa, S.: Three-dimensional shape analysis by use of a projected grating image. Opt. Eng. 30(10), 1529–1533 (1991)

    Article  Google Scholar 

  21. Yi-Bae, C.: Phase-shifting grating projection moire topography. Opt. Eng. 37(3), 1005–1010 (1998)

    Article  ADS  Google Scholar 

  22. Halioua, M., Krishnamurthy, R.S., Liu, H., Chiang, F.P.: Projection moire with moving gratings for automated 3-d topography. Appl. Opt. 22(6), 850 (1983)

    Article  ADS  Google Scholar 

  23. Wang, L., Cao, Y., Li, C., Wang, Y., Wan, Y., Fu, G., Li, H., Xu, C.: Orthogonal modulated computer-generated moiré profilometry. Opt. Commun 455, 124565 (2020)

    Article  Google Scholar 

  24. Zhang, H., Su, H., Su, X.Y.: Automatic phase unwrapping algorithm for reconstruction of three-dimensional objects. Opt. lett. 32(21), 3119–3121 (2007)

    Article  ADS  Google Scholar 

  25. Zuo, C., Huang, L., Zhang, M., Chen, Q., Asundi, A.: Temporal phase unwrapping algorithms for fringe projection profilometry: a comparative review. Opt. Lasers Eng. 85, 84–103 (2016)

    Article  Google Scholar 

  26. Ma, Q., Cao, Y., Chen, C., Wan, Y., Fu, G., Wang, Y.: Intrinsic feature revelation of phase-to-height mapping in phase measuring profilometry. Opt. Lasers Technol. 108, 46–52 (2018)

    Article  ADS  Google Scholar 

  27. Fu, G., Cao, Y., Wang, Y.: Dynamic phase measuring profilometry based on tricolor binary fringe encoding combined time-division multiplexing. Appl. Sci. 9(4), 813 (2019)

    Article  Google Scholar 

  28. Ekstrand, L., Zhang, S.: Three-dimensional profilometry with nearly focused binary phase-shifting algorithms. Opt. Lett. 36(23), 4518–4520 (2011)

    Article  ADS  Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

  1. Department of Optical Electronics, Sichuan University, Chengdu, 610064, Sichuan, China

    Lu Wang, Yiping Cao, Chengmeng Li, Yingying Wan, Yapin Wang, Hongmei Li, Cai Xu & Hechen Zhang

  2. College of Physics and Engineering, Chengdu Normal University, Chengdu, 611130, Sichuan, China

    Hongmei Li

Authors
  1. Lu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yiping Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chengmeng Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yingying Wan
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yapin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Hongmei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Cai Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Hechen Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yiping Cao.

Ethics declarations

Conflict of interest

The authors have no relevant conflicts of interest.

Ethical approval

Not applicable.

Consent to participate

Not applicable

Consent for publication

Not applicable

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, L., Cao, Y., Li, C. et al. Computer-generated moiré profilometry based on flat image demodulation. Opt Rev 28, 546–556 (2021). https://doi.org/10.1007/s10043-021-00686-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10043-021-00686-0

Keywords

Search

Navigation