Abstract

By using the least-squares fitting approach, the calibration procedure for fringe projection profilometry becomes more flexible and easier, since neither the measurement of system geometric parameters nor precise control of plane moving is required. With consideration of camera lens distortion, we propose a modified least-squares calibration method for fringe projection profilometry. In this method, camera lens distortion is involved in the mathematical description of the system for least-squares fitting to reduce its influence. Both simulation and experimental results are shown to verify the validity and ease of use of this modified calibration method.

© 2010 Optical Society of America

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  1. K. Harding, “Industrial metrology: engineering precision,” Nat. Photon. 2, 667-669 (2008).
    [CrossRef]
  2. S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601-123608 (2006).
    [CrossRef]
  3. Z. Wang, H. Du, S. Park, and H. Xie, “Three-dimensional shape measurement with a fast and accurate approach,” Appl. Opt. 48, 1052-1061 (2009).
    [CrossRef]
  4. Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
    [CrossRef]
  5. V. Srinivasan, H. C. Liu, and M. Halioua, “Automated phase-measuring profilometry of 3-D diffuse objects,” Appl. Opt. 23, 3105-3108 (1984).
    [CrossRef]
  6. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977-3982 (1983).
    [CrossRef]
  7. D. J. Bone, H. A. Bachor, and R. J. Sandeman, “Fringe-pattern analysis using a 2-D Fourier transform,” Appl. Opt. 25, 1653-1660 (1986).
    [CrossRef]
  8. X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
    [CrossRef]
  9. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
    [CrossRef]
  10. Q. Kemao, W. Gao, and H. Wang, “Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm,” Appl. Opt. 47, 5408 (2008).
    [CrossRef]
  11. Z. Wang and H. Ma, “Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing,” Opt. Eng. 45, 045601 (2006).
    [CrossRef]
  12. B. Pan, Q. Kemao, L. Huang, and A. Asundi, “Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry,” Opt. Lett. 34, 416-418 (2009).
    [CrossRef]
  13. Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
    [CrossRef]
  14. X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
    [CrossRef]
  15. L.-C. Chen and C.-C. Liao, “Calibration of 3D surface profilometry using digital fringe projection,” Meas. Sci. Technol. 16, 1554-1566 (2005).
    [CrossRef]
  16. A. Maurel, P. Cobelli, V. Pagneux, and P. Petitjeans, “Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry,” Appl. Opt. 48, 380-392 (2009).
    [CrossRef]
  17. H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
    [CrossRef]
  18. M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.
  19. H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
    [CrossRef]
  20. H. Du and Z. Wang, “Three-dimensional shape measurement with an arbitrarily arranged fringe projection profilometry system,” Opt. Lett. 32, 2438-2440 (2007).
    [CrossRef]
  21. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Machine Intell. 22, 1330-1334(2000).
    [CrossRef]
  22. J. Y. Bouguet, “Camera calibration toolbox for MATLAB,” http://www.vision.caltech.edu/bouguetj/calib_doc.
  23. J. Heikkila and O. Silven, “A four-step camera calibration procedure with implicit image correction,” in 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (IEEE, 1997), pp. 1106-1112.

2009 (3)

2008 (2)

2007 (1)

2006 (2)

Z. Wang and H. Ma, “Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing,” Opt. Eng. 45, 045601 (2006).
[CrossRef]

S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601-123608 (2006).
[CrossRef]

2005 (3)

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

L.-C. Chen and C.-C. Liao, “Calibration of 3D surface profilometry using digital fringe projection,” Meas. Sci. Technol. 16, 1554-1566 (2005).
[CrossRef]

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

2004 (2)

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
[CrossRef]

2003 (2)

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

2001 (1)

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
[CrossRef]

2000 (1)

Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Machine Intell. 22, 1330-1334(2000).
[CrossRef]

1986 (1)

1984 (1)

1983 (1)

Asundi, A.

Bachor, H. A.

Bone, D. J.

Bouguet, J. Y.

J. Y. Bouguet, “Camera calibration toolbox for MATLAB,” http://www.vision.caltech.edu/bouguetj/calib_doc.

Cao, Y.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

Chen, L.-C.

L.-C. Chen and C.-C. Liao, “Calibration of 3D surface profilometry using digital fringe projection,” Meas. Sci. Technol. 16, 1554-1566 (2005).
[CrossRef]

Chen, M.

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

Chen, W.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
[CrossRef]

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
[CrossRef]

Chiang, F.-P.

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

Cobelli, P.

Du, H.

Fu, Q.

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

Fujigaki, M.

M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.

Gao, W.

Guo, H.

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

Halioua, M.

Harding, K.

K. Harding, “Industrial metrology: engineering precision,” Nat. Photon. 2, 667-669 (2008).
[CrossRef]

He, H.

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

Heikkila, J.

J. Heikkila and O. Silven, “A four-step camera calibration procedure with implicit image correction,” in 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (IEEE, 1997), pp. 1106-1112.

Hu, Q.

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

Huang, L.

Huang, P. S.

S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601-123608 (2006).
[CrossRef]

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

Kemao, Q.

Li, Y.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

Liao, C.-C.

L.-C. Chen and C.-C. Liao, “Calibration of 3D surface profilometry using digital fringe projection,” Meas. Sci. Technol. 16, 1554-1566 (2005).
[CrossRef]

Liu, H.

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

Liu, H. C.

Ma, H.

Z. Wang and H. Ma, “Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing,” Opt. Eng. 45, 045601 (2006).
[CrossRef]

Matui, T.

M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.

Maurel, A.

Morimoto, Y.

M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.

Mutoh, K.

Pagneux, V.

Pan, B.

Park, S.

Petitjeans, P.

Reichard, K.

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

Sandeman, R. J.

Silven, O.

J. Heikkila and O. Silven, “A four-step camera calibration procedure with implicit image correction,” in 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (IEEE, 1997), pp. 1106-1112.

Song, W.

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

Srinivasan, V.

Su, W. H.

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

Su, X.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
[CrossRef]

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
[CrossRef]

Takagishi, A.

M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.

Takeda, M.

Wang, H.

Wang, Z.

Xiang, L.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

Xie, H.

Yin, S.

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

Yu, Y.

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

Zhang, Q.

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

Zhang, S.

S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601-123608 (2006).
[CrossRef]

Zhang, Z.

Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Machine Intell. 22, 1330-1334(2000).
[CrossRef]

Appl. Opt. (6)

IEEE Trans. Pattern Anal. Machine Intell. (1)

Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Machine Intell. 22, 1330-1334(2000).
[CrossRef]

Meas. Sci. Technol. (1)

L.-C. Chen and C.-C. Liao, “Calibration of 3D surface profilometry using digital fringe projection,” Meas. Sci. Technol. 16, 1554-1566 (2005).
[CrossRef]

Nat. Photon. (1)

K. Harding, “Industrial metrology: engineering precision,” Nat. Photon. 2, 667-669 (2008).
[CrossRef]

Opt. Commun. (1)

H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216, 65-80 (2003).
[CrossRef]

Opt. Eng. (6)

Q. Hu, P. S. Huang, Q. Fu, and F.-P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003).
[CrossRef]

X. Su, W. Song, Y. Cao, and L. Xiang, “Phase-height mapping and coordinate calibration simultaneously in phase-measuring profilometry,” Opt. Eng. 43, 708-712 (2004).
[CrossRef]

S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601-123608 (2006).
[CrossRef]

Q. Zhang, X. Su, Y. Cao, Y. Li, L. Xiang, and W. Chen, “Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination,” Opt. Eng. 44, 113601-113607 (2005).
[CrossRef]

H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603-033609 (2005).
[CrossRef]

Z. Wang and H. Ma, “Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing,” Opt. Eng. 45, 045601 (2006).
[CrossRef]

Opt. Lasers Eng. (2)

X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263-284 (2001).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245-261 (2004).
[CrossRef]

Opt. Lett. (2)

Other (3)

J. Y. Bouguet, “Camera calibration toolbox for MATLAB,” http://www.vision.caltech.edu/bouguetj/calib_doc.

J. Heikkila and O. Silven, “A four-step camera calibration procedure with implicit image correction,” in 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (IEEE, 1997), pp. 1106-1112.

M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole-space tabulation method,” in Two- and Three-Dimensional Methods for Inspection and Metrology VI (SPIE, 2008), pp. 706606-706608.

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