Abstract

Contrasted with other vibration measurement methods, a novel spectroscopical photogrammetric approach is proposed. Two colored light filters and a CCD color camera are used to achieve the function of two traditional cameras. Then a new calibration method is presented. It focuses on the vibrating object rather than the camera and has the advantage of more accuracy than traditional camera calibration. The test results have shown an accuracy of 0.02 mm.

© 2010 OSA

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References

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  1. B. J. Halkon and S. J. Rothberg, “Vibration measurements using continuous scanning laser Doppler vibrometry: theoretical velocity sensitivity analysis with applications,” Meas. Sci. Technol. 14(3), 382–393 (2003).
    [CrossRef]
  2. Y. Y. Hung, “Shearography‒a new optical method for strain-measurement and non-destructive testing,” Opt. Eng. 21, 391–395 (1982).
  3. S. Schedin, G. Pedrini, H. J. Tiziani, and F. M. Santoyo, “Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography,” Appl. Opt. 38(34), 7056–7062 (1999).
    [CrossRef]
  4. Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).
  5. C. C. Chang and Y. F. Ji, “Flexible videogrammetric technique for three-dimensional structural vibration measurement,” J. Eng. Mech. 133(6), 656–664 (2007).
    [CrossRef]
  6. C. Y. Chen, T. T. Yang, and W. S. Sun, “Optics system design applying a micro-prism array of a single lens stereo image pair,” Opt. Express 16(20), 15495–15505 (2008).
    [CrossRef] [PubMed]
  7. A. Benetazzo, “Measurements of short water waves using stereo matched image sequences,” Coast. Eng. 53(12), 1013–1032 (2006).
    [CrossRef]
  8. Q. Zhang and X. Su, “High-speed optical measurement for the drumhead vibration,” Opt. Express 13(8), 3110–3116 (2005).
    [CrossRef] [PubMed]
  9. Z. Y. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000).
    [CrossRef]
  10. P. I. Rockett, “Performance assessment of feature detection algorithms: a methodology and case study on corner detectors,” IEEE Trans. Image Process. 12(12), 1668–1676 (2003).
    [CrossRef]

2008 (2)

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

C. Y. Chen, T. T. Yang, and W. S. Sun, “Optics system design applying a micro-prism array of a single lens stereo image pair,” Opt. Express 16(20), 15495–15505 (2008).
[CrossRef] [PubMed]

2007 (1)

C. C. Chang and Y. F. Ji, “Flexible videogrammetric technique for three-dimensional structural vibration measurement,” J. Eng. Mech. 133(6), 656–664 (2007).
[CrossRef]

2006 (1)

A. Benetazzo, “Measurements of short water waves using stereo matched image sequences,” Coast. Eng. 53(12), 1013–1032 (2006).
[CrossRef]

2005 (1)

2003 (2)

B. J. Halkon and S. J. Rothberg, “Vibration measurements using continuous scanning laser Doppler vibrometry: theoretical velocity sensitivity analysis with applications,” Meas. Sci. Technol. 14(3), 382–393 (2003).
[CrossRef]

P. I. Rockett, “Performance assessment of feature detection algorithms: a methodology and case study on corner detectors,” IEEE Trans. Image Process. 12(12), 1668–1676 (2003).
[CrossRef]

2000 (1)

Z. Y. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000).
[CrossRef]

1999 (1)

1982 (1)

Y. Y. Hung, “Shearography‒a new optical method for strain-measurement and non-destructive testing,” Opt. Eng. 21, 391–395 (1982).

Benetazzo, A.

A. Benetazzo, “Measurements of short water waves using stereo matched image sequences,” Coast. Eng. 53(12), 1013–1032 (2006).
[CrossRef]

Chang, C. C.

C. C. Chang and Y. F. Ji, “Flexible videogrammetric technique for three-dimensional structural vibration measurement,” J. Eng. Mech. 133(6), 656–664 (2007).
[CrossRef]

Chen, C. Y.

Fei, Z.

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

Halkon, B. J.

B. J. Halkon and S. J. Rothberg, “Vibration measurements using continuous scanning laser Doppler vibrometry: theoretical velocity sensitivity analysis with applications,” Meas. Sci. Technol. 14(3), 382–393 (2003).
[CrossRef]

Hung, Y. Y.

Y. Y. Hung, “Shearography‒a new optical method for strain-measurement and non-destructive testing,” Opt. Eng. 21, 391–395 (1982).

Ji, Y. F.

C. C. Chang and Y. F. Ji, “Flexible videogrammetric technique for three-dimensional structural vibration measurement,” J. Eng. Mech. 133(6), 656–664 (2007).
[CrossRef]

Kaiduan, Y.

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

Pedrini, G.

Rockett, P. I.

P. I. Rockett, “Performance assessment of feature detection algorithms: a methodology and case study on corner detectors,” IEEE Trans. Image Process. 12(12), 1668–1676 (2003).
[CrossRef]

Rothberg, S. J.

B. J. Halkon and S. J. Rothberg, “Vibration measurements using continuous scanning laser Doppler vibrometry: theoretical velocity sensitivity analysis with applications,” Meas. Sci. Technol. 14(3), 382–393 (2003).
[CrossRef]

Santoyo, F. M.

Schedin, S.

Su, X.

Sun, W. S.

Tiziani, H. J.

Yang, T. T.

Yaxing, Y.

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

Zhang, Q.

Zhang, Z. Y.

Z. Y. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000).
[CrossRef]

Zhongke, L.

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

Appl. Opt. (1)

Coast. Eng. (1)

A. Benetazzo, “Measurements of short water waves using stereo matched image sequences,” Coast. Eng. 53(12), 1013–1032 (2006).
[CrossRef]

IEEE Trans. Image Process. (1)

P. I. Rockett, “Performance assessment of feature detection algorithms: a methodology and case study on corner detectors,” IEEE Trans. Image Process. 12(12), 1668–1676 (2003).
[CrossRef]

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

Z. Y. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000).
[CrossRef]

J. Eng. Mech. (1)

C. C. Chang and Y. F. Ji, “Flexible videogrammetric technique for three-dimensional structural vibration measurement,” J. Eng. Mech. 133(6), 656–664 (2007).
[CrossRef]

Meas. Sci. Technol. (1)

B. J. Halkon and S. J. Rothberg, “Vibration measurements using continuous scanning laser Doppler vibrometry: theoretical velocity sensitivity analysis with applications,” Meas. Sci. Technol. 14(3), 382–393 (2003).
[CrossRef]

Opt. Eng. (1)

Y. Y. Hung, “Shearography‒a new optical method for strain-measurement and non-destructive testing,” Opt. Eng. 21, 391–395 (1982).

Opt. Express (2)

Proc. SPIE (1)

Y. Kaiduan, L. Zhongke, Y. Yaxing, and Z. Fei, “Full-field laser vibration measurement in NDT techniques,” Proc. SPIE 7160, 71600X (2008).

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Figures (7)

Fig. 1
Fig. 1

Schema of the spectroscopic stereo photogrammetry.

Fig. 2
Fig. 2

Depth of field represented by image plane.

Fig. 3
Fig. 3

Schema of calibration.

Fig. 4
Fig. 4

(a) Measurement mechanism; (b) test object.

Fig. 5
Fig. 5

Image captured in two different times.

Fig. 6
Fig. 6

(a) Red constituent; (b) blue constituent.

Fig. 7
Fig. 7

Vibration mode.

Equations (9)

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F l = f l ( x l , z l ) ,
F r = f r ( x r , z r ) .
x l = f l ' ( z l ) ,
x r = f r ' ( z r ) .
K = f ' ( z ) .
z = f ( K ) .
z t = f ( K t ) ,
z t + d t = f ( K t + d t ) .
d v = d z d t = z t + d t z t d t = f ( K t + d t K t ) d t .

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