Abstract

We propose a novel three-dimensional (3-D) object-recognition method based on a Fourier-transform profilometry technique and a two-dimensional (2-D) correlation technique. Height information on 3-D objects is transformed to phase information on 2-D complex amplitude by use of the Fourier-transform profilometry technique. 3-D objects are recognized using correlation by use of the transformed complex amplitude.

© 2000 Optical Society of America

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References

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  1. M. Takeda and K. Mutoh, Appl. Opt. 22, 3977 (1983).
    [CrossRef]
  2. W. W. Macy, Appl. Opt. 22, 3898 (1983).
    [CrossRef]
  3. G. M. Lai and T. Yatagai, J. Opt. Soc. Am. A 8, 822 (1991).
    [CrossRef]
  4. W. Osten, Proc. SPIE 3478, 11 (1998).
    [CrossRef]
  5. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  6. See, for example, M. Takeda, Q. Gu, M. Kinoshita, H. Takai, and Y. Takahashi, Appl. Opt. 36, 5347 (1997).
    [CrossRef] [PubMed]

1998 (1)

W. Osten, Proc. SPIE 3478, 11 (1998).
[CrossRef]

1997 (1)

1991 (1)

1983 (2)

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Figures (5)

Fig. 1
Fig. 1

3-D objects for computer simulation. The top views of objects A, B, and C are shaped almost the same, even though their heights differ. Object D is the same as object A except for a defect.

Fig. 2
Fig. 2

Deformed grating pattern of the objects.

Fig. 3
Fig. 3

Deformed grating pattern of the reference, object A in Fig. 1.

Fig. 4
Fig. 4

Fourier-transform intensity distribution of the deformed grating pattern in Fig. 2. The square represents the extraction area of the first-order Fourier component.

Fig. 5
Fig. 5

(a) Correlation output between the object and the reference, obtained by use of the FPC. (b) Top view of (a).

Equations (7)

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gTx,y=-An exp2πinf0x,
gx,y=rx,y-An expi2πnf0x+nϕx,y,
Gνx,νy=-Qnνx-nf0,νy,
Gνx,νy=Q1νx,νy.
gˆx,y=A1rx,yexpiϕx,y.
hx,y=l0Δϕx,yΔϕx,y-2πf0d,
C=FT-1GRνx,νyGO*νx,νy2,

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