Abstract

A 3D sensing method to retrieve an entire shape from many segmented profiles is described. Image registration is not required in this method. Advantages of this method also include (1) very high integration accuracy, (2) improved robustness, (3) reduced computational time, (4) very low computation cost for the data fusion, and (5) capability of compensating distortions of the optical system at every pixel location.

© 2008 Optical Society of America

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References

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  1. M. Takeda, and K. Mutoh, "Fourier transform profilometry for the automatic measurement of 3-D object shaped," Appl. Opt. 22, 3977-3982 (1983).
    [CrossRef] [PubMed]
  2. V. Srinivasan, H. C. Liu, and M. Halioua, "Automated phase-measuring profilometry of 3-D diffuse objects," Appl. Opt. 23, 3105-3108 (1984).
    [CrossRef] [PubMed]
  3. D. R. Burton and M. J. Lalor, "Multichannel Fourier fringe analysis as an aid to automatic phase unwrapping," Appl. Opt. 33, 2939-2948 (1994).
    [CrossRef] [PubMed]
  4. W. H. Su, and H. Liu, "Calibration-based two frequency projected fringe profilometry: a robust, accurate, and single-shot meaurement for objects with large depth discontinuities," Opt. Express 14, 9178-9187 (2006).
    [CrossRef] [PubMed]
  5. W. H. Su, "Color-encoded fringe projection for 3D shape measurements," Opt. Express 15, 13167-13181 (2007).
    [CrossRef] [PubMed]
  6. A. W. Gruen, "Geometrically constrained multiphoto matching," Photogramm. Eng. Remote Sens. 54, 633-641 (1988).
  7. L. G. Brown, "A survey of image registration techniques," ACM Comput. Surv. 24, 325-376, (1992).
    [CrossRef]
  8. C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
    [CrossRef]
  9. A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
    [CrossRef]
  10. E. Zappa, and G. Busca, "Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry," Opt. Lasers Eng. 46, 106-116 (2008).
    [CrossRef]

2008

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

2007

2006

2003

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

2000

C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
[CrossRef]

1994

1992

L. G. Brown, "A survey of image registration techniques," ACM Comput. Surv. 24, 325-376, (1992).
[CrossRef]

1988

A. W. Gruen, "Geometrically constrained multiphoto matching," Photogramm. Eng. Remote Sens. 54, 633-641 (1988).

1984

1983

Bilbault, J. M.

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

Brown, L. G.

L. G. Brown, "A survey of image registration techniques," ACM Comput. Surv. 24, 325-376, (1992).
[CrossRef]

Burton, D. R.

Busca, G.

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

Dipanda, A.

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

Gruen, A. W.

A. W. Gruen, "Geometrically constrained multiphoto matching," Photogramm. Eng. Remote Sens. 54, 633-641 (1988).

Halioua, M.

Lalor, M. J.

Liu, H.

Liu, H. C.

Marzani, F.

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

Mutoh, K.

Reich, C.

C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
[CrossRef]

Ritter, R.

C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
[CrossRef]

Srinivasan, V.

Su, W. H.

Takeda, M.

Thesing, J.

C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
[CrossRef]

Woo, S.

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

Zappa, E.

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

ACM Comput. Surv.

L. G. Brown, "A survey of image registration techniques," ACM Comput. Surv. 24, 325-376, (1992).
[CrossRef]

Appl. Opt.

Opt. Eng.

C. Reich, R. Ritter, and J. Thesing, "3-D shape measurement of complex objects by combining photogrammetry and fringe projection," Opt. Eng. 39, 224-231 (2000).
[CrossRef]

Opt. Express

Opt. Lasers Eng.

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

Pattern Recog.

A. Dipanda, S. Woo, F. Marzani and J. M. Bilbault, "3-D shape reconstruction in an active stereo vision system using genetic algorithms" Pattern Recog. 36, 2143-2159 (2003).
[CrossRef]

Photogramm. Eng. Remote Sens.

A. W. Gruen, "Geometrically constrained multiphoto matching," Photogramm. Eng. Remote Sens. 54, 633-641 (1988).

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Figures (9)

Fig. 1.
Fig. 1.

Schematic setup of projected fringe profilometry.

Fig. 2.
Fig. 2.

Configuration to identify parameters of (a) the φ-to-z relationship, and (b) the z-to-x relationship or the z-to-y relationship.

Fig. 3.
Fig. 3.

Segmented measurements performed by projected fringe profilometries.

Fig. 4.
Fig. 4.

Configuration to identify parameters of the φ-to-z relationship.

Fig. 5.
Fig. 5.

Configuration to identify parameters of the z-to-x relationship and the z-to-y relationship.

Fig. 6.
Fig. 6.

Fringes on the inspected object observed by a sensing system at (a) the left point of view, and (b) the right point of view.

Fig. 7.
Fig. 7.

Phase-extraction using the phase-shifting technique for the sensing system at (a) the left point of view, and (b) the right point of view.

Fig. 8.
Fig. 8.

Appearance of unwrapped phases obtained by the sensing system at (a) the left point of view, and (b) the right point of view.

Fig. 9.
Fig. 9.

(a). Retrieved profile from the left partial view. (b). Retrieved profile from the left partial view. (c). Integrated profile from (a) and (b).

Equations (7)

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

[ x g y g ] = [ φ · d 2 π 0 ] ,
[ x + Δ x y + Δ y z + Δ z ] = [ r 11 ( p ) r 12 ( p ) r 21 ( p ) r 22 ( p ) r 31 ( p ) r 32 ( p ) ] [ φ · d 2 π 0 ] + [ t 1 ( p ) t 2 ( p ) t 3 ( p ) ] .
[ x d + Δ x d y d + Δ y d ] = [ r 11 ( c ) r 12 ( c ) r 13 ( c ) r 21 ( c ) r 22 ( c ) r 23 ( c ) ] [ x y z ] + [ t 1 ( c ) t 2 ( c ) ] .
{ x = a 0 + a 1 z y = b 0 + b 1 z ,
z = n = 0 N c n φ n .
R ( x , y ) = 1 2 + 1 4 cos ( 2 π d x x ) + 1 4 cos ( 2 π d y y ) ,
{ z = n = 0 N c n ( l ) · ( φ ( l ) ) n x = a 0 ( l ) + a 1 ( l ) z y = b 0 ( l ) + b 1 ( l ) z ,

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