Abstract

A novel phase-coding technique based on Fourier-transform profilometry (FTP) is proposed for three-dimensional object recognition. Two spatially multiplexed grating patterns of different spatial frequencies are projected simultaneously onto the objects–target, and the phase changes in the distorted patterns are detected. An algebraic addition or subtraction of these phase values is utilized to code the two-dimensional plans of the objects–target with spatial harmonic modulations. The phase-coded plans of the objects and the target are cross correlated digitally to yield a high correlation peak at the target location. The 2π ambiguity of the phase associated with FTP has been resolved in correlation results without recourse to phase unwrapping. Experimental results show an excellent discrimination capability for target recognition.

© 2002 Optical Society of America

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Corrections

Debesh Choudhury and Mitsuo Takeda, "Frequency-multiplexed profilometric phase coding for three-dimensional object recognition without 2π phase ambiguity: errata," Opt. Lett. 27, 1851-1851 (2002)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-27-20-1851

References

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  1. A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
    [CrossRef]
  2. C. S. Weaver and J. W. Goodman, Appl. Opt. 5, 1248 (1966).
    [CrossRef] [PubMed]
  3. E. Paquet, M. Rioux, and H. H. Arsenault, Opt. Eng. 34, 1178 (1995).
    [CrossRef]
  4. A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
    [CrossRef]
  5. J. Rosen, Opt. Lett. 22, 964 (1997).
    [CrossRef] [PubMed]
  6. J. Rosen, J. Opt. Soc. Am. A 15, 430 (1998).
    [CrossRef]
  7. Y. Frauel and B. Javidi, Opt. Lett. 26, 1478 (2001).
    [CrossRef]
  8. S. Seung-Ho and B. Javidi, Opt. Lett. 26, 1161 (2001).
    [CrossRef]
  9. J. J. Esteve-Taboada, D. Mas, and J. Garcia, Appl. Opt. 38, 4760 (1999).
    [CrossRef]
  10. N. Yoshikawa and T. Yagatai, Opt. Lett. 25, 1424 (2000).
    [CrossRef]
  11. M. Takeda and K. Mutoh, Appl. Opt. 22, 3977 (1983).
    [CrossRef]
  12. M. Takeda, Q. Gu, M. Kinoshita, H. Takai, and Y. Takahashi, Appl. Opt. 36, 5347 (1997).
    [CrossRef] [PubMed]

2001 (2)

2000 (1)

1999 (1)

1998 (1)

1997 (3)

1995 (1)

E. Paquet, M. Rioux, and H. H. Arsenault, Opt. Eng. 34, 1178 (1995).
[CrossRef]

1983 (1)

1966 (1)

1964 (1)

A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Arsenault, H. H.

E. Paquet, M. Rioux, and H. H. Arsenault, Opt. Eng. 34, 1178 (1995).
[CrossRef]

Denkewalter, R.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Esteve-Taboada, J. J.

Frauel, Y.

Garcia, J.

Goodman, J. W.

Gu, Q.

Javidi, B.

Kinoshita, M.

Mas, D.

Mutoh, K.

Paquet, E.

E. Paquet, M. Rioux, and H. H. Arsenault, Opt. Eng. 34, 1178 (1995).
[CrossRef]

Psaltis, D.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Pu, A.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Rioux, M.

E. Paquet, M. Rioux, and H. H. Arsenault, Opt. Eng. 34, 1178 (1995).
[CrossRef]

Rosen, J.

Seung-Ho, S.

Takahashi, Y.

Takai, H.

Takeda, M.

Vander Lugt, A.

A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Weaver, C. S.

Yagatai, T.

Yoshikawa, N.

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Figures (3)

Fig. 1
Fig. 1

Schematic FTP setup.

Fig. 2
Fig. 2

Results: (a) objects, (b) target, (c) grating-projected objects, (d) enlarged portion of (c), (e) phase-coded objects, (f) phase-coded target, (g) correlation by phase coding, (h) correlation without phase coding.

Fig. 3
Fig. 3

Results without multiplexing: (a) phase-coded objects, (b) phase-coded target, (c) correlation by phase coding, (d) correlation without phase coding.

Equations (6)

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ϕ0x,y=ϕ01x,y+ϕ02x,y,
ϕtx,y=ϕt1x,y+ϕt2x,y.
pox,y=A expi2παx+yϕox,y,
ptx,y=A expi2παx+yϕtx,y,
Cx,y=Fu,vPtu,vPo*u,v×exp-i2πux+vydudv,
Fu,v=1-circu2+v2αϕtmin,

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