Abstract

A novel phase-analysis method is proposed. To get the fringe order of a fringe image, the amplitude-modulation fringe pattern is carried out, which is combined with the phase-shift method. The primary phase value is obtained by a phase-shift algorithm, and the fringe-order information is encoded in the amplitude-modulation fringe pattern. Different from other methods, the amplitude-modulation fringe identifies the fringe order by the amplitude of the fringe pattern. In an amplitude-modulation fringe pattern, each fringe has its own amplitude; thus, the order information is integrated in one fringe pattern, and the absolute fringe phase can be calculated correctly and quickly with the amplitude-modulation fringe image. The detailed algorithm is given, and the error analysis of this method is also discussed. Experimental results are presented by a full-field shape measurement system where the data has been processed using the proposed algorithm.

© 2010 OSA

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2010 (2)

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are,” Opt. Lasers Eng. 48(2), 133–140 (2010).
[CrossRef]

S. Y. Gai and F. P. Da, “A novel phase-shifting method based on strip marker,” Opt. Lasers Eng. 48(2), 205–211 (2010).
[CrossRef]

2008 (4)

X. Chen, J. Xi, and Y. Jin, “Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection,” Opt. Eng. 47(11), 113601–113611 (2008).
[CrossRef]

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46(2), 106–116 (2008).
[CrossRef]

F. P. Da and S. Y. Gai, “Flexible three-dimensional measurement technique based on a digital light processing projector,” Appl. Opt. 47(3), 377–385 (2008).
[CrossRef]

M. Servin, M. Cywiak, D. Malacara-Hernandez, J. C. Estrada, and J. A. Quiroga, “Spatial carrier interferometry from M temporal phase shifted interferograms: squeezing interferometry,” Opt. Express 16(13), 9276–9283 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-13-9276 .
[CrossRef]

2007 (2)

S. Zhang, X. L. Li, and S. T. Yau, “Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction,” Appl. Opt. 46(1), 50–57 (2007).
[CrossRef]

C. Yu and Q. J. Peng, “A correlation-based phase unwrapping method for Fourier-transform profilometry,” Opt. Eng. 45(6), 730–736 (2007).
[CrossRef]

2006 (2)

2004 (3)

C. Towers, D. Towers, and J. Jones, “Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry,” Opt. Express 12(6), 1136–1143 (2004).
[CrossRef]

L. Kinell, “Multichannel method for absolute shape measurement using projected fringes,” Opt. Lasers Eng. 41(1), 57–71 (2004).
[CrossRef]

F. Blais, “Review of 20 years of range sensor development,” J. Electron. Imaging 13(1), 231–240 (2004).
[CrossRef]

2003 (2)

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

J. Li, G. Hassebrook, and C. Guan, “Optimized two-frequency phase-measuring-profilometry light-sensor temporal-noise sensitivity,” J. Opt. Soc. Am. A 20(1), 106–115 (2003).
[CrossRef]

2001 (3)

X. Y. Su and W. J. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35(5), 263–284 (2001).
[CrossRef]

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

L. Kinell and M. Sjödahl, “Robustness of reduced temporal phase unwrapping in the measurement of shape,” Appl. Opt. 40(14), 2297–2303 (2001).
[CrossRef]

1999 (2)

1997 (3)

J. L. Li, H. J. Su, and X. Y. Su, “Two-frequency grating used in phase-measuring profilometry,” Appl. Opt. 36(1), 277–280 (1997).
[CrossRef]

L. Di Stefano and F. Boland, “New phase extraction algorithm for phase profilometry,” Mach. Vis. Appl. 10(4), 188–200 (1997).
[CrossRef]

J. M. Huntley and H. O. Saldner, “Shape measurement by temporal phase unwrapping: comparison of unwrapping algorithms,” Meas. Sci. Technol. 8(9), 986–992 (1997).
[CrossRef]

1994 (1)

1993 (1)

Blais, F.

F. Blais, “Review of 20 years of range sensor development,” J. Electron. Imaging 13(1), 231–240 (2004).
[CrossRef]

Boland, F.

L. Di Stefano and F. Boland, “New phase extraction algorithm for phase profilometry,” Mach. Vis. Appl. 10(4), 188–200 (1997).
[CrossRef]

Busca, G.

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46(2), 106–116 (2008).
[CrossRef]

Carocci, M.

Chao, Y. J.

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

Chen, M.

Chen, W.

Chen, W. J.

X. Y. Su and W. J. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35(5), 263–284 (2001).
[CrossRef]

Chen, X.

X. Chen, J. Xi, and Y. Jin, “Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection,” Opt. Eng. 47(11), 113601–113611 (2008).
[CrossRef]

Chiang, F. P.

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

Cywiak, M.

Da, F. P.

S. Y. Gai and F. P. Da, “A novel phase-shifting method based on strip marker,” Opt. Lasers Eng. 48(2), 205–211 (2010).
[CrossRef]

F. P. Da and S. Y. Gai, “Flexible three-dimensional measurement technique based on a digital light processing projector,” Appl. Opt. 47(3), 377–385 (2008).
[CrossRef]

Di Stefano, L.

L. Di Stefano and F. Boland, “New phase extraction algorithm for phase profilometry,” Mach. Vis. Appl. 10(4), 188–200 (1997).
[CrossRef]

Estrada, J. C.

Fu, Q. L.

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

Gai, S. Y.

S. Y. Gai and F. P. Da, “A novel phase-shifting method based on strip marker,” Opt. Lasers Eng. 48(2), 205–211 (2010).
[CrossRef]

F. P. Da and S. Y. Gai, “Flexible three-dimensional measurement technique based on a digital light processing projector,” Appl. Opt. 47(3), 377–385 (2008).
[CrossRef]

Gorthi, S. S.

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are,” Opt. Lasers Eng. 48(2), 133–140 (2010).
[CrossRef]

Guan, C.

Guo, H.

Hassebrook, G.

Hu, Q. Y.

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

Huang, P. S.

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

Huntley, J. M.

J. M. Huntley and H. O. Saldner, “Shape measurement by temporal phase unwrapping: comparison of unwrapping algorithms,” Meas. Sci. Technol. 8(9), 986–992 (1997).
[CrossRef]

J. M. Huntley and H. O. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32(17), 3047–3052 (1993).
[CrossRef]

Iwata, K.

Jin, Y.

X. Chen, J. Xi, and Y. Jin, “Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection,” Opt. Eng. 47(11), 113601–113611 (2008).
[CrossRef]

Jones, J.

Kakunai, S.

Kinell, L.

L. Kinell, “Multichannel method for absolute shape measurement using projected fringes,” Opt. Lasers Eng. 41(1), 57–71 (2004).
[CrossRef]

L. Kinell and M. Sjödahl, “Robustness of reduced temporal phase unwrapping in the measurement of shape,” Appl. Opt. 40(14), 2297–2303 (2001).
[CrossRef]

Li, J.

Li, J. L.

Li, X. L.

Malacara-Hernandez, D.

McNeill, S. R.

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

Peng, Q. J.

C. Yu and Q. J. Peng, “A correlation-based phase unwrapping method for Fourier-transform profilometry,” Opt. Eng. 45(6), 730–736 (2007).
[CrossRef]

Quiroga, J. A.

Rastogi, P.

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are,” Opt. Lasers Eng. 48(2), 133–140 (2010).
[CrossRef]

Rodella, R.

Sakamoto, T.

Saldner, H. O.

J. M. Huntley and H. O. Saldner, “Shape measurement by temporal phase unwrapping: comparison of unwrapping algorithms,” Meas. Sci. Technol. 8(9), 986–992 (1997).
[CrossRef]

J. M. Huntley and H. O. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32(17), 3047–3052 (1993).
[CrossRef]

Sansoni, G.

Schreier, H. W.

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

Servin, M.

Sjödahl, M.

Su, H. J.

Su, X. Y.

X. Y. Su and W. J. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35(5), 263–284 (2001).
[CrossRef]

J. L. Li, H. J. Su, and X. Y. Su, “Two-frequency grating used in phase-measuring profilometry,” Appl. Opt. 36(1), 277–280 (1997).
[CrossRef]

Sutton, M. A.

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

Tan, Y.

Towers, C.

Towers, D.

Xi, J.

X. Chen, J. Xi, and Y. Jin, “Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection,” Opt. Eng. 47(11), 113601–113611 (2008).
[CrossRef]

Yau, S. T.

Yu, C.

C. Yu and Q. J. Peng, “A correlation-based phase unwrapping method for Fourier-transform profilometry,” Opt. Eng. 45(6), 730–736 (2007).
[CrossRef]

Zappa, E.

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46(2), 106–116 (2008).
[CrossRef]

Zhang, S.

Zhao, H.

Zhao, W.

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

Zheng, P.

Appl. Opt. (8)

Exp. Mech. (1)

M. A. Sutton, W. Zhao, S. R. McNeill, H. W. Schreier, and Y. J. Chao, “Development and assessment of a single-image fringe projection method for dynamic applications,” Exp. Mech. 41(3), 205–217 (2001).
[CrossRef]

J. Electron. Imaging (1)

F. Blais, “Review of 20 years of range sensor development,” J. Electron. Imaging 13(1), 231–240 (2004).
[CrossRef]

J. Opt. Soc. Am. A (1)

Mach. Vis. Appl. (1)

L. Di Stefano and F. Boland, “New phase extraction algorithm for phase profilometry,” Mach. Vis. Appl. 10(4), 188–200 (1997).
[CrossRef]

Meas. Sci. Technol. (1)

J. M. Huntley and H. O. Saldner, “Shape measurement by temporal phase unwrapping: comparison of unwrapping algorithms,” Meas. Sci. Technol. 8(9), 986–992 (1997).
[CrossRef]

Opt. Eng. (3)

C. Yu and Q. J. Peng, “A correlation-based phase unwrapping method for Fourier-transform profilometry,” Opt. Eng. 45(6), 730–736 (2007).
[CrossRef]

Q. Y. Hu, P. S. Huang, Q. L. Fu, and F. P. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42(2), 487–493 (2003).
[CrossRef]

X. Chen, J. Xi, and Y. Jin, “Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection,” Opt. Eng. 47(11), 113601–113611 (2008).
[CrossRef]

Opt. Express (3)

Opt. Lasers Eng. (5)

S. Y. Gai and F. P. Da, “A novel phase-shifting method based on strip marker,” Opt. Lasers Eng. 48(2), 205–211 (2010).
[CrossRef]

L. Kinell, “Multichannel method for absolute shape measurement using projected fringes,” Opt. Lasers Eng. 41(1), 57–71 (2004).
[CrossRef]

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46(2), 106–116 (2008).
[CrossRef]

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are,” Opt. Lasers Eng. 48(2), 133–140 (2010).
[CrossRef]

X. Y. Su and W. J. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35(5), 263–284 (2001).
[CrossRef]

Opt. Lett. (1)

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