Abstract

Fringe projection profilometry (FPP) has evolved dramatically, with many highly demanded features for three- dimensional (3D) imaging, such as high accuracy, easy implementation, and capability of measuring multiple objects with complex shapes. A vital component for an FPP-based 3D imaging system is the calibration process. The existing calibration methods lack the ability to be flexibly compatible with various scales of the field of imaging. In this Letter, a technique to cope with this issue is presented; it employs a checkerboard along with practical considerations to ensure reliable and accurate calibration. The validity and practicality of the technique are verified by experiments.

© 2010 Optical Society of America

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References

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2010

L. Huang, P. Chua, and A. Asundi, Appl. Opt. 49, 1539(2010).
[CrossRef] [PubMed]

Z. Wang, D. Nguyen, and J. Barnes, Opt. Lasers Eng. 48, 218(2010).
[CrossRef]

2009

D. Douxchamps and K. Chihara, IEEE Trans. Pattern Anal. Machine Intell. 31, 376 (2009).
[CrossRef]

X. Zhang and L. Zhu, Opt. Eng. 48, 117208 (2009).
[CrossRef]

S. Cui and Z. Zhu, Opt. Express 17, 20735 (2009).
[CrossRef] [PubMed]

2008

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

2007

2000

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330(2000).
[CrossRef]

Asundi, A.

Barnes, J.

Z. Wang, D. Nguyen, and J. Barnes, Opt. Lasers Eng. 48, 218(2010).
[CrossRef]

Chihara, K.

D. Douxchamps and K. Chihara, IEEE Trans. Pattern Anal. Machine Intell. 31, 376 (2009).
[CrossRef]

Chua, P.

Cui, S.

Douxchamps, D.

D. Douxchamps and K. Chihara, IEEE Trans. Pattern Anal. Machine Intell. 31, 376 (2009).
[CrossRef]

Du, H.

Huang, L.

Li, Z.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

Nguyen, D.

Z. Wang, D. Nguyen, and J. Barnes, Opt. Lasers Eng. 48, 218(2010).
[CrossRef]

Shi, Y.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

Wang, C.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

Wang, Y.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

Wang, Z.

Z. Wang, D. Nguyen, and J. Barnes, Opt. Lasers Eng. 48, 218(2010).
[CrossRef]

H. Du and Z. Wang, Opt. Lett. 32, 2438 (2007).
[CrossRef] [PubMed]

Zhang, X.

X. Zhang and L. Zhu, Opt. Eng. 48, 117208 (2009).
[CrossRef]

Zhang, Z.

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330(2000).
[CrossRef]

Zhu, L.

X. Zhang and L. Zhu, Opt. Eng. 48, 117208 (2009).
[CrossRef]

Zhu, Z.

Appl. Opt.

IEEE Trans. Pattern Anal. Machine Intell.

D. Douxchamps and K. Chihara, IEEE Trans. Pattern Anal. Machine Intell. 31, 376 (2009).
[CrossRef]

Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330(2000).
[CrossRef]

Opt. Eng.

Z. Li, Y. Shi, C. Wang, and Y. Wang, Opt. Eng. 47, 053604(2008).
[CrossRef]

X. Zhang and L. Zhu, Opt. Eng. 48, 117208 (2009).
[CrossRef]

Opt. Express

Opt. Lasers Eng.

Z. Wang, D. Nguyen, and J. Barnes, Opt. Lasers Eng. 48, 218(2010).
[CrossRef]

Opt. Lett.

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Figures (5)

Fig. 1
Fig. 1

Representative images of system calibration: checkerboard with projection fringes, unwrapped phase map, and out-of-reference-plane height map.

Fig. 2
Fig. 2

3D imaging results of a plate with gage blocks.

Fig. 3
Fig. 3

Conch shell and its 3D images from four views.

Fig. 4
Fig. 4

Printed circuit board, the 2D height map, and the 3D rendered height map.

Fig. 5
Fig. 5

Human body and the 3D images from three views.

Tables (1)

Tables Icon

Table 1 Actual and Measured Heights of Gage Blocks a

Equations (6)

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

z = f c / f d f c = 1 + c 1 ϕ + ( c 2 + c 3 ϕ ) i + ( c 4 + c 5 ϕ ) j + ( c 6 + c 7 ϕ ) i 2 + ( c 8 + c 9 ϕ ) j 2 , f d = d 0 + d 1 ϕ + ( d 2 + d 3 ϕ ) i + ( d 4 + d 5 ϕ ) j + ( d 6 + d 7 ϕ ) i 2 + ( d 8 + d 9 ϕ ) j 2 ,
{ x c y c z c } = [ R 11 R 12 T 1 R 21 R 22 T 2 R 31 R 32 T 3 ] { x w y w 1 } ,
A x c r + B y c r + C z c r + 1 = 0 ,
z b = A x c + B y c + C z c + 1 A 2 + B 2 + C 2 .
S = k = 1 m ( f c f d z k b ) 2 ,
S c p = 0 , p = 1 , 2 , ... , 9 , S d q = 0 , q = 0 , 1 , ... , 9.

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