Abstract

The three-dimensional (3-D) shape measurement using defocused Ronchi grating is advantageous for the high contrast of fringe. This paper presents a method for measuring spatially isolated objects using defocused binary patterns. Two Ronchi grating with horizontal position difference of one-third of a period and an encoded pattern are adopted. The phase distribution of fringe pattern is obtained by Fourier analysis method. The measurement depth and range is enlarged because the third harmonic component and background illumination is eliminated with proposed method. The fringe order is identified by the encoded pattern. Three gray levels are used and the pattern is converted to binary image with error diffusion algorithm. The tolerance of encoded pattern is large. It is suited for defocused optical system. We also present a measurement system with a modified DLP projector and a high-speed camera. The 3-D surface acquisition speed of 60 frames per second (fps), with resolution of 640 × 480 points and that of 120 fps, with resolution of 320 × 240 points are archived. If the control logic of DMD was modified and a camera with higher speed was employed, the measurement speed would reach thousands fps. This makes it possible to analyze dynamic objects.

© 2010 OSA

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References

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  1. F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
    [CrossRef]
  2. F. Blais, “Review of 20 Years of Range Sensor Development,” J. Elect. Imag. 13(1), 231–240 (2004).
    [CrossRef]
  3. J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
    [CrossRef]
  4. T. R. Judge and P. J. Bryanston-Cross, “Review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994).
    [CrossRef]
  5. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004).
    [CrossRef]
  6. H. Zhao, W. Chen, and Y. Tan, “Phase-unwrapping algorithm for the measurement of three-dimensional object shapes,” Appl. Opt. 33(20), 4497–4500 (1994).
    [CrossRef] [PubMed]
  7. W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
    [CrossRef]
  8. H. O. Saldner and J. M. Huntley, “Temporal phase unwrapping: application to surface profiling of discontinuous objects,” Appl. Opt. 36(13), 2770–2775 (1997).
    [CrossRef] [PubMed]
  9. Y. Hao, Y. Zhao, and D. Li, “Multifrequency grating projection profilometry based on the nonlinear excess fraction method,” Appl. Opt. 38(19), 4106–4110 (1999).
    [CrossRef]
  10. E. B. Li, X. Peng, J. Xi, J. F. Chicharo, J. Q. Yao, and D. W. Zhang, “Multi-frequency and multiple phase-shift sinusoidal fringe projection for 3D profilometry,” Opt. Express 13(5), 1561–1569 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-13-5-1561 .
    [CrossRef] [PubMed]
  11. P. Vuylsteke and A. Oosterlinck, “Range image acquisition with a single binary-encoded light pattern,” IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 148–164 (1990).
    [CrossRef]
  12. W. Liu, Z. Wang, G. Mu, and Z. Fang, “Color-coded projection grating method for shape measurement with a single exposure,” Appl. Opt. 39(20), 3504–3508 (2000).
    [CrossRef]
  13. S. Y. Chen and Y. F. Li, “Self-recalibration of a colour-encoded light system for automated three-dimensional measurements,” Meas. Sci. Technol. 14(1), 33–40 (2003).
    [CrossRef]
  14. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22(24), 3977–3982 (1983).
    [CrossRef] [PubMed]
  15. P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
    [CrossRef]
  16. C. Guan, L. G. Hassebrook, and D. L. Lau, “Composite structured light pattern for three-dimensional video,” Opt. Express 11(5), 406–417 (2003), http://www.opticsinfobase.org/abstract.cfm?URI=oe-11-5-406 .
    [CrossRef] [PubMed]
  17. Q. C. Zhang and X. Y. Su, “High-speed optical measurement for the drumhead vibration,” Opt. Express 13(8), 3110–3116 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-8-3110 .
    [CrossRef] [PubMed]
  18. W. H. Su, “Projected fringe profilometry using the area encoded algorithm for spatially isolated and dynamic objects,” Opt. Express 16, 2590–2596 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-4-2590 .
  19. P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
    [CrossRef]
  20. S. Zhang and S.-T. Yau, “High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method,” Opt. Express 14(7), 2644–2649 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-7-2644 .
    [CrossRef] [PubMed]
  21. S. Zhang, D. Van Der Weide, and J. Oliver, “Superfast phase-shifting method for 3-D shape measurement,” Opt. Express 18(9), 9684–9689 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-9-9684 .
    [CrossRef] [PubMed]
  22. Y. Li, K. Y. Jin, H. Z. Jin, and H. Wang, “High-resolution, High-speed 3D Measurement Based on Absolute Phase Measurement,” in Proceeding of International Conference on Advanced Phase Measurement Methods in Optics and Imaging, 2010, pp.389–394.
  23. X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
    [CrossRef]
  24. S. Lei and S. Zhang, “Digital Sinusoidal Fringe Pattern Generation: Defocusing Binary Patterns VS Focusing Sinusoidal Patterns,” Opt. Lasers Eng. 48(5), 561–569 (2010).
    [CrossRef]
  25. J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
    [CrossRef]
  26. Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
    [CrossRef]

2010 (3)

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

S. Lei and S. Zhang, “Digital Sinusoidal Fringe Pattern Generation: Defocusing Binary Patterns VS Focusing Sinusoidal Patterns,” Opt. Lasers Eng. 48(5), 561–569 (2010).
[CrossRef]

S. Zhang, D. Van Der Weide, and J. Oliver, “Superfast phase-shifting method for 3-D shape measurement,” Opt. Express 18(9), 9684–9689 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-9-9684 .
[CrossRef] [PubMed]

2009 (1)

Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
[CrossRef]

2006 (1)

2005 (2)

2004 (2)

F. Blais, “Review of 20 Years of Range Sensor Development,” J. Elect. Imag. 13(1), 231–240 (2004).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004).
[CrossRef]

2003 (3)

S. Y. Chen and Y. F. Li, “Self-recalibration of a colour-encoded light system for automated three-dimensional measurements,” Meas. Sci. Technol. 14(1), 33–40 (2003).
[CrossRef]

P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
[CrossRef]

C. Guan, L. G. Hassebrook, and D. L. Lau, “Composite structured light pattern for three-dimensional video,” Opt. Express 11(5), 406–417 (2003), http://www.opticsinfobase.org/abstract.cfm?URI=oe-11-5-406 .
[CrossRef] [PubMed]

2000 (2)

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

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
[CrossRef]

1999 (2)

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Y. Hao, Y. Zhao, and D. Li, “Multifrequency grating projection profilometry based on the nonlinear excess fraction method,” Appl. Opt. 38(19), 4106–4110 (1999).
[CrossRef]

1997 (1)

1996 (1)

W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
[CrossRef]

1994 (2)

T. R. Judge and P. J. Bryanston-Cross, “Review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994).
[CrossRef]

H. Zhao, W. Chen, and Y. Tan, “Phase-unwrapping algorithm for the measurement of three-dimensional object shapes,” Appl. Opt. 33(20), 4497–4500 (1994).
[CrossRef] [PubMed]

1992 (1)

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

1990 (2)

J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
[CrossRef]

P. Vuylsteke and A. Oosterlinck, “Range image acquisition with a single binary-encoded light pattern,” IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 148–164 (1990).
[CrossRef]

1983 (1)

Andrä, P.

W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
[CrossRef]

Blais, F.

F. Blais, “Review of 20 Years of Range Sensor Development,” J. Elect. Imag. 13(1), 231–240 (2004).
[CrossRef]

Brown, G. M.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
[CrossRef]

Bryanston-Cross, P. J.

T. R. Judge and P. J. Bryanston-Cross, “Review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994).
[CrossRef]

Chen, F.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
[CrossRef]

Chen, S. Y.

S. Y. Chen and Y. F. Li, “Self-recalibration of a colour-encoded light system for automated three-dimensional measurements,” Meas. Sci. Technol. 14(1), 33–40 (2003).
[CrossRef]

Chen, W.

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004).
[CrossRef]

H. Zhao, W. Chen, and Y. Tan, “Phase-unwrapping algorithm for the measurement of three-dimensional object shapes,” Appl. Opt. 33(20), 4497–4500 (1994).
[CrossRef] [PubMed]

Chiang, F. P.

P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
[CrossRef]

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Chicharo, J. F.

Fang, Z.

Fernandez, S.

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

Guan, C.

Guo, L. R.

J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
[CrossRef]

Hao, Y.

Hassebrook, L. G.

Hu, Q.

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Huang, P. S.

P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
[CrossRef]

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Huntley, J. M.

Jin, F.

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Jin, H. Z.

Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
[CrossRef]

Judge, T. R.

T. R. Judge and P. J. Bryanston-Cross, “Review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994).
[CrossRef]

Lau, D. L.

Lei, S.

S. Lei and S. Zhang, “Digital Sinusoidal Fringe Pattern Generation: Defocusing Binary Patterns VS Focusing Sinusoidal Patterns,” Opt. Lasers Eng. 48(5), 561–569 (2010).
[CrossRef]

Li, D.

Li, E. B.

Li, J.

J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
[CrossRef]

Li, Y.

Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
[CrossRef]

Li, Y. F.

S. Y. Chen and Y. F. Li, “Self-recalibration of a colour-encoded light system for automated three-dimensional measurements,” Meas. Sci. Technol. 14(1), 33–40 (2003).
[CrossRef]

Liu, W.

Llado, X.

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

Mu, G.

Mutoh, K.

Nadeborn, W.

W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
[CrossRef]

Oliver, J.

Oosterlinck, A.

P. Vuylsteke and A. Oosterlinck, “Range image acquisition with a single binary-encoded light pattern,” IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 148–164 (1990).
[CrossRef]

Osten, W.

W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
[CrossRef]

Peng, X.

Pribanic, T.

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

Saldner, H. O.

Salvi, J.

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

Song, M.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
[CrossRef]

Su, X.

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004).
[CrossRef]

Su, X. Y.

Q. C. Zhang and X. Y. Su, “High-speed optical measurement for the drumhead vibration,” Opt. Express 13(8), 3110–3116 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-8-3110 .
[CrossRef] [PubMed]

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
[CrossRef]

Takeda, M.

Tan, Y.

Van Der Weide, D.

Vonbally, G.

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

Vukicevic, D.

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

Vuylsteke, P.

P. Vuylsteke and A. Oosterlinck, “Range image acquisition with a single binary-encoded light pattern,” IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 148–164 (1990).
[CrossRef]

Wang, H.

Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
[CrossRef]

Wang, Z.

Xi, J.

Yao, J. Q.

Yau, S.-T.

Zhang, C.

P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
[CrossRef]

Zhang, D. W.

Zhang, Q. C.

Zhang, S.

Zhao, H.

Zhao, Y.

Zhou, W. S.

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

Appl. Opt. (5)

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

P. Vuylsteke and A. Oosterlinck, “Range image acquisition with a single binary-encoded light pattern,” IEEE Trans. Pattern Anal. Mach. Intell. 12(2), 148–164 (1990).
[CrossRef]

J. Elect. Imag. (1)

F. Blais, “Review of 20 Years of Range Sensor Development,” J. Elect. Imag. 13(1), 231–240 (2004).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

Y. Li, H. Z. Jin, and H. Wang, “Three-dimensional shape measurement using binary spatio-temporal encoded illumination,” J. Opt. A, Pure Appl. Opt. 11(7), 075502 (2009).
[CrossRef]

Meas. Sci. Technol. (1)

S. Y. Chen and Y. F. Li, “Self-recalibration of a colour-encoded light system for automated three-dimensional measurements,” Meas. Sci. Technol. 14(1), 33–40 (2003).
[CrossRef]

Opt. Commun. (1)

X. Y. Su, W. S. Zhou, G. Vonbally, and D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi Grating,” Opt. Commun. 94(6), 561–573 (1992).
[CrossRef]

Opt. Eng. (4)

J. Li, X. Y. Su, and L. R. Guo, “Improved Fourier transform profilometry for the automatic measurement of 3D object shapes,” Opt. Eng. 29(12), 1439 (1990).
[CrossRef]

P. S. Huang, C. Zhang, and F. P. Chiang, “High-Speed 3D Shape Measurement Based on Digital Fringe Projection,” Opt. Eng. 42(1), 163–168 (2003).
[CrossRef]

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000).
[CrossRef]

P. S. Huang, Q. Hu, F. Jin, and F. P. Chiang, “Color-Encoded Digital Fringe Projection Technique for High-Speed Three-Dimensional Surface Contouring,” Opt. Eng. 38(6), 1065–1071 (1999).
[CrossRef]

Opt. Express (5)

Opt. Lasers Eng. (4)

S. Lei and S. Zhang, “Digital Sinusoidal Fringe Pattern Generation: Defocusing Binary Patterns VS Focusing Sinusoidal Patterns,” Opt. Lasers Eng. 48(5), 561–569 (2010).
[CrossRef]

W. Nadeborn, P. Andrä, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24(2-3), 245–260 (1996).
[CrossRef]

T. R. Judge and P. J. Bryanston-Cross, “Review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004).
[CrossRef]

Pattern Recognit. (1)

J. Salvi, S. Fernandez, T. Pribanic, and X. Llado, “A state of the art in structured light patterns for surface profilometry,” Pattern Recognit. 43(8), 2666–2680 (2010).
[CrossRef]

Other (2)

W. H. Su, “Projected fringe profilometry using the area encoded algorithm for spatially isolated and dynamic objects,” Opt. Express 16, 2590–2596 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-4-2590 .

Y. Li, K. Y. Jin, H. Z. Jin, and H. Wang, “High-resolution, High-speed 3D Measurement Based on Absolute Phase Measurement,” in Proceeding of International Conference on Advanced Phase Measurement Methods in Optics and Imaging, 2010, pp.389–394.

Supplementary Material (2)

» Media 1: MOV (747 KB)     
» Media 2: MOV (2209 KB)     

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Figures (5)

Fig. 1
Fig. 1

Example of encoded pattern.

Fig. 2
Fig. 2

Relationship of fringe intensity, wrapped phase, fringe order and absolute phase.

Fig. 3
Fig. 3

Measurement system

Fig. 4
Fig. 4

Experimental result of spatially isolated dynamic objects. (a) One selected photograph of scene with fringe. (b) Movie of reconstructed 3-D image (Media 1).

Fig. 5
Fig. 5

Measurement result of facial expressions (Media 2).

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

g ( x ) = r e c t ( x P / 2 ) c o m b ( x P ) ,
g ( x ) = 1 2 + 2 π n = 1 ( 1 ) n 1 2 n 1 cos [ 2 π ( 2 n 1 ) f 0 x ] ,
I 0 ( x , y ) = I a ( x , y ) + a ( x , y ) cos [ 2 π f 0 x + ϕ 1 ( x , y ) ] + b ( x , y ) cos [ 2 π 3 f 0 x + ϕ 2 ( x , y ) ] ,
I 1 ( x , y ) = I a ( x , y ) + a ( x , y ) cos [ 2 π f 0 x + ϕ 1 ( x , y ) + 2 π / 3 ] + b ( x , y ) cos [ 2 π 3 f 0 x + ϕ 2 ( x , y ) + 2 π ] = I a ( x , y ) + a ( x , y ) cos [ 2 π f 0 x + ϕ 1 ( x , y ) + 2 π / 3 ] + b ( x , y ) cos [ 2 π 3 f 0 x + ϕ 2 ( x , y ) ] .
I ( x , y ) = a ( x , y ) { cos [ 2 π f 0 x + ϕ 1 ( x , y ) ] cos [ 2 π f 0 x + ϕ 1 ( x , y ) + 2 π / 3 ) ] } = 3 a ( x , y ) { cos ( π / 6 ) cos [ 2 π f 0 x + ϕ 1 ( x , y ) ] + sin ( π / 6 ) sin [ 2 π f 0 x + ϕ 1 ( x , y ) ] } = 3 a ( x , y ) cos [ 2 π f 0 x + ϕ 1 ( x , y ) π / 6 ] .
I ^ 0 ( x , y ) = 3 2 a ( x , y ) exp { i [ 2 π f 0 x + ϕ 1 ( x , y ) π / 6 ] } .
ϕ w ( x , y ) = arg [ I ^ 0 ( x , y ) exp ( i π / 6 ) ] ,
L = P k M = K ! ( K M ) ! .
φ a ( x , y ) = φ w ( x , y ) + 2 k π ,
I 3 ( x , y ) = I a ( x , y ) + I p ( x , y ) ,
I c ( x , y ) = 3 [ I 3 ( x , y ) I 0 ( x , y ) ] + 2 | I ^ 0 ( x , y ) | cos [ ϕ w ( x , y ) ] 2 | I ^ 0 ( x , y ) | .
T ( x , y ) = 3 [ I 3 ( x , y ) I 0 ( x , y ) ] + 2 | I ^ 0 ( x , y ) | cos [ ϕ w ( x , y ) ] .

Metrics