Abstract

The measurement accuracy of fringe projection profilometry (FPP) largely depends on the calibration procedure. A more reliable calibration approach based on the stereo vision model of the FPP scheme in conjunction with the bundle adjustment strategy is presented. It can adjust the coordinates of benchmarks and thereby estimate the scheme parameters more accurately even with an imperfect target. The experiment results shows that the proposed approach can reach highly accurate calibration by solely using a printed target pattern, which verifies the proposed approach.

© 2012 Optical Society of America

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References

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  1. S. S. Gorthi and P. Rastogi, Opt. Lasers Eng. 48, 133 (2010).
    [CrossRef]
  2. M. Vo, Z. Wang, T. Hoang, and D. Nguyen, Opt. Lett. 35, 3192 (2010).
    [CrossRef]
  3. Z. Zhang, H. Ma, T. Guo, S. Zhang, and J. Chen, Opt. Lett. 36, 1257 (2011).
    [CrossRef]
  4. R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
    [CrossRef]
  5. S. Zhang and P. S. Huang, Opt. Eng. 45, 083601 (2006).
    [CrossRef]
  6. Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
    [CrossRef]
  7. J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
    [CrossRef]
  8. V. Srinivasan, H. C. Liu, and M. Halioua, Appl. Opt. 23, 3105 (1984).
    [CrossRef]
  9. X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
    [CrossRef]
  10. Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330 (2000).
    [CrossRef]
  11. B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.
  12. C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
    [CrossRef]
  13. W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000).
    [CrossRef]
  14. K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).

2011 (1)

2010 (2)

S. S. Gorthi and P. Rastogi, Opt. Lasers Eng. 48, 133 (2010).
[CrossRef]

M. Vo, Z. Wang, T. Hoang, and D. Nguyen, Opt. Lett. 35, 3192 (2010).
[CrossRef]

2008 (1)

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

2006 (1)

S. Zhang and P. S. Huang, Opt. Eng. 45, 083601 (2006).
[CrossRef]

2004 (1)

R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
[CrossRef]

2003 (1)

X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
[CrossRef]

2000 (3)

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330 (2000).
[CrossRef]

C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
[CrossRef]

W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000).
[CrossRef]

1992 (1)

J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
[CrossRef]

1984 (1)

Bothe, T.

R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
[CrossRef]

Chen, J.

Cohen, P.

J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
[CrossRef]

Fitzgibbon, A. W.

B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.

Gorthi, S. S.

S. S. Gorthi and P. Rastogi, Opt. Lasers Eng. 48, 133 (2010).
[CrossRef]

Guo, T.

Halioua, M.

Hartley, R. I.

B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.

Herniou, M.

J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
[CrossRef]

Hoang, T.

Huang, P. S.

S. Zhang and P. S. Huang, Opt. Eng. 45, 083601 (2006).
[CrossRef]

Juptner, W. P.

R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
[CrossRef]

Legarda-Saenz, R.

R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
[CrossRef]

Li, Z.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

Liu, H. C.

Ma, H.

Madsen, K.

K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).

McLauchlan, P. F.

B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.

Nguyen, D.

Nielsen, H. B.

K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).

Niu, H.

X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
[CrossRef]

Notni, G.

W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000).
[CrossRef]

Peng, X.

X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
[CrossRef]

Rastogi, P.

S. S. Gorthi and P. Rastogi, Opt. Lasers Eng. 48, 133 (2010).
[CrossRef]

Reich, C.

C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
[CrossRef]

Ritter, R.

C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
[CrossRef]

Schreiber, W.

W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000).
[CrossRef]

Shi, Y.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

Srinivasan, V.

Thesing, J.

C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
[CrossRef]

Tingleff, O.

K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).

Triggs, B.

B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.

Vo, M.

Wang, C.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

Wang, Y.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

Wang, Z.

Weng, J.

J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
[CrossRef]

Yang, Z.

X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
[CrossRef]

Zhang, S.

Zhang, Z.

Z. Zhang, H. Ma, T. Guo, S. Zhang, and J. Chen, Opt. Lett. 36, 1257 (2011).
[CrossRef]

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330 (2000).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Pattern Anal. Machine Intell. (2)

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330 (2000).
[CrossRef]

J. Weng, P. Cohen, and M. Herniou, IEEE Trans. Pattern Anal. Machine Intell. 14, 965 (1992).
[CrossRef]

Opt. Commun. (1)

X. Peng, Z. Yang, and H. Niu, Opt. Commun. 224, 35 (2003).
[CrossRef]

Opt. Eng. (5)

R. Legarda-Saenz, T. Bothe, and W. P. Juptner, Opt. Eng. 43, 464 (2004).
[CrossRef]

S. Zhang and P. S. Huang, Opt. Eng. 45, 083601 (2006).
[CrossRef]

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604 (2008).
[CrossRef]

C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224 (2000).
[CrossRef]

W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000).
[CrossRef]

Opt. Lasers Eng. (1)

S. S. Gorthi and P. Rastogi, Opt. Lasers Eng. 48, 133 (2010).
[CrossRef]

Opt. Lett. (2)

Other (2)

B. Triggs, P. F. McLauchlan, R. I. Hartley, and A. W. Fitzgibbon, in Vision Algorithms: Theory and Practice, B. Triggs, A. Zisserman, and R. Szeliski, eds. (Springer, 2000), pp. 298–372.

K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).

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Figures (5)

Fig. 1.
Fig. 1.

Schematic diagram of an FPP scheme.

Fig. 2.
Fig. 2.

Searching homologous point pairs with the assistance of the dual absolute phase maps.

Fig. 3.
Fig. 3.

Calibrating the FPP scheme with the BA strategy. (a) BA network consisting of different poses and benchmarks. (b) Details for the camera including the ith pose and the jth benchmark.

Fig. 4.
Fig. 4.

Histogram comparison of calibration residual errors.

Fig. 5.
Fig. 5.

Photography and 3D model of a terra-cotta warrior.

Tables (1)

Tables Icon

Table 1. Statistics of Measurement Errors (in mm)

Equations (5)

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{scm˜c=Kc[Rc|tc]X˜wmc=mc+δ(kc;mc),
φpu(mp)=φcu(mc),φpv(mp)=φcv(mc),
{Rs=RpRc1ts=tpRpRc1tc.
{Xc=RcXw+tcscmc=Kc[I|0]Xcmc=mc+δ(kc;mc)spmp=Kp[Rs|ts]Xcmp=mp+δ(kp;mp).
cost(τ)=i=1Nj=1M{m^cijmcij(θc,Θci;Xwj)2+m^pijmpij(θp,Θs,Θci;Xwj)2},

Metrics