Abstract

The rapid progress of modern manufacturing technology has posed stringent requirements for inspecting techniques for vibration characterization and dynamic testing. Because of its simplicity, accuracy, and whole-field character, speckle interferometry has served as one of the major techniques for dynamic measurement, where normally a dense-sampled temporal speckle sequence is captured for phase retrieval using Fourier or wavelet transforms. In this Letter, a method is proposed for phase evaluation of sparse-sampled speckle patterns when the sampling rate is lower than two points per temporal cycle. Dynamic experiments using a high-speed camera demonstrated the effectiveness of the proposed method for complicated wrapped phase retrieval in electronic/digital speckle pattern interferometry.

© 2011 Optical Society of America

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2011 (1)

2009 (4)

H. X. Wang and K. M. Qian, Opt. Express 17, 15118 (2009).
[CrossRef] [PubMed]

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

2008 (1)

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

2007 (2)

2006 (3)

2005 (1)

P. A. A. M. Somers and N. Bhattacharya, J. Opt. A 7, S385 (2005).
[CrossRef]

2004 (2)

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

C. Quan, Y. Fu, and C. J. Tay, Opt. Commun. 230, 23 (2004).
[CrossRef]

2003 (1)

W. An and T. E. Carlsson, Opt. Lasers Eng. 40, 529 (2003).
[CrossRef]

2001 (1)

2000 (1)

1999 (1)

1998 (1)

1996 (2)

W. C. Wang, C. H. Hwang, and S. Y. Lin, Appl. Opt. 35, 4502 (1996).
[CrossRef] [PubMed]

C. Quan, H. M. Shang, and P. J. Bryanston-Cross, Opt. Laser Technol. 28, 7 (1996).
[CrossRef]

1993 (1)

Adachi, M.

Alanis, E. E.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Alvarez, L.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

An, W.

W. An and T. E. Carlsson, Opt. Lasers Eng. 40, 529 (2003).
[CrossRef]

Asundi, A.

Barton, J. S.

Bhaduri, B.

Bhattacharya, N.

P. A. A. M. Somers and N. Bhattacharya, J. Opt. A 7, S385 (2005).
[CrossRef]

Bryanston-Cross, P. J.

C. Quan, H. M. Shang, and P. J. Bryanston-Cross, Opt. Laser Technol. 28, 7 (1996).
[CrossRef]

Buckberry, C.

Carlsson, T. E.

W. An and T. E. Carlsson, Opt. Lasers Eng. 40, 529 (2003).
[CrossRef]

Chen, L. J.

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

Chen, Y. S.

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Chung, P. S.

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Franze, B.

Fu, Y.

Y. Fu, R. M. Groves, G. Pedrini, and W. Osten, Appl. Opt. 46, 8645 (2007).
[CrossRef] [PubMed]

K. M. Qian, Y. Fu, Q. Liu, H. S. Seah, and A. Asundi, Opt. Lett. 31, 2121 (2006).
[CrossRef] [PubMed]

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

C. Quan, Y. Fu, and C. J. Tay, Opt. Commun. 230, 23 (2004).
[CrossRef]

Groves, R. M.

Gusev, M. E.

Harble, P.

Huang, Y. H.

Y. H. Huang, F. Janabi-Sharifi, Y. S. Liu, and Y. Y. Hung, Opt. Express 19, 606 (2011).
[CrossRef] [PubMed]

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Hung, M. Y. Y.

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Hung, Y. Y.

Y. H. Huang, F. Janabi-Sharifi, Y. S. Liu, and Y. Y. Hung, Opt. Express 19, 606 (2011).
[CrossRef] [PubMed]

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Huntley, J. M.

Hwang, C. H.

Ip, R. W. L.

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Janabi-Sharifi, F.

Joenathan, C.

Jones, J. D. C.

Kaufmann, G. K.

Kemao, Q.

Kerr, D.

Kilpatrick, J. M.

Kothiyal, M. P.

Li, C. L.

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Lin, S. Y.

Liu, L.

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Liu, Q.

Liu, Y. S.

Luk, B. L.

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Martinez, C. C.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Mohan, N. K.

Moore, A. J.

Nallim, L. G.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Ng, S. P.

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Osten, W.

Pedrini, G.

Petzing, J. N.

Qian, K. M.

Quan, C.

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

C. Quan, Y. Fu, and C. J. Tay, Opt. Commun. 230, 23 (2004).
[CrossRef]

C. Quan, H. M. Shang, and P. J. Bryanston-Cross, Opt. Laser Technol. 28, 7 (1996).
[CrossRef]

Reeves, M.

Romero, G. G.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Saldner, H. O.

Seah, H. S.

Shang, H. M.

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

C. Quan, H. M. Shang, and P. J. Bryanston-Cross, Opt. Laser Technol. 28, 7 (1996).
[CrossRef]

Sirohi, R. S.

Somers, P. A. A. M.

P. A. A. M. Somers and N. Bhattacharya, J. Opt. A 7, S385 (2005).
[CrossRef]

Soon, S. H.

Tay, C. J.

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

C. Quan, Y. Fu, and C. J. Tay, Opt. Commun. 230, 23 (2004).
[CrossRef]

Tiziani, H. J.

Toledo, M. W.

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

Wang, H. X.

Wang, W. C.

Wu, C. M. L.

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Appl. Opt. (7)

Exp. Mech. (1)

G. G. Romero, E. E. Alanis, C. C. Martinez, L. G. Nallim, M. W. Toledo, and L. Alvarez, Exp. Mech. 50, 1013 (2009).
[CrossRef]

J. Opt. A (1)

P. A. A. M. Somers and N. Bhattacharya, J. Opt. A 7, S385 (2005).
[CrossRef]

Mater. Sci. Eng. R Rep. (1)

Y. Y. Hung, Y. S. Chen, S. P. Ng, L. Liu, Y. H. Huang, B. L. Luk, R. W. L. Ip, C. M. L. Wu, and P. S. Chung, Mater. Sci. Eng. R Rep. 64, 73 (2009).
[CrossRef]

Opt. Commun. (1)

C. Quan, Y. Fu, and C. J. Tay, Opt. Commun. 230, 23 (2004).
[CrossRef]

Opt. Eng. (Bellingham, Wash.) (1)

Y. H. Huang, S. P. Ng, L. Liu, Y. S. Chen, and M. Y. Y. Hung, Opt. Eng. (Bellingham, Wash.) 47, 054301 (2008).
[CrossRef]

Opt. Express (3)

Opt. Laser Technol. (2)

C. Quan, H. M. Shang, and P. J. Bryanston-Cross, Opt. Laser Technol. 28, 7 (1996).
[CrossRef]

C. J. Tay, C. Quan, Y. Fu, L. J. Chen, and H. M. Shang, Opt. Laser Technol. 36, 471 (2004).
[CrossRef]

Opt. Lasers Eng. (2)

W. An and T. E. Carlsson, Opt. Lasers Eng. 40, 529 (2003).
[CrossRef]

Y. H. Huang, S. P. Ng, L. Liu, C. L. Li, Y. S. Chen, and Y. Y. Hung, Opt. Lasers Eng. 47, 774 (2009).
[CrossRef]

Opt. Lett. (3)

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Figures (4)

Fig. 1
Fig. 1

Typical intensity evolution of one pixel in a speckle image with sampling rates of (a)  250 fps , (b)  25 fps , and (c)  12.5 fps .

Fig. 2
Fig. 2

Demonstration of clustering effect of wrapped deformation phases within an area of 3 × 3 pixels.

Fig. 3
Fig. 3

Wrapped deformation phase map of a pressurized defective plate by (a) the proposed method with sparse-sampled speckle sequence and (c) temporal analysis using Fourier transform with dense-sampled speckle sequence. (b) Unwrapped phase comparison of sections A-A and C-C.

Fig. 4
Fig. 4

Deformation phase sequence obtained by the proposed method and phase-relay method with sparse-sampled speckle sequence.

Equations (7)

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

I ( x , y , t ) = a ( x , y ) + b ( x , y ) cos [ φ ( x , y , t ) ] ,
a = { Max [ I ( t ) ] + Min [ I ( t ) ] } / 2 , b = { Max [ I ( t ) ] Min [ I ( t ) ] } / 2 ,
| φ ( t ) | = arccos { [ I ( t ) a ] / b } ,
I sub ( t 0 ) = I ( t 0 ) I ( t 0 + δ t ) δ φ · b · sin [ φ ( t 0 ) ] ,
φ ( t 0 ) = arccos { [ I ( t 0 ) a ] / b } · sign [ I sub ( t 0 ) ] ,
I ( t 0 + Δ t ) = a + b cos [ φ ( t 0 ) + Δ φ ] ,
Δ φ = ± arccos { [ I ( t 0 + Δ t ) a ] / b } φ ( t 0 ) .

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