Abstract

An automated measurement method for 360° surface topography of 3-D diffuse objects is presented. The method is based on the simple principle of triangulation with structured illumination. The geometric specifications of the structured light module used in the system are analyzed on a computer. Using an advantageous data acquisition schedule, high data acquisition rates and measuring accuracy can be achieved. The system comprises a structured lighting projector, a 2-D detector array, and a microcomputer for control and processing. Experimental results for 3-D objects are offered.

© 1991 Optical Society of America

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References

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  1. H. Takasaki, “Moire Topography,” Appl. Opt. 9, 1467–1472 (1970).
    [CrossRef] [PubMed]
  2. V. Srinivasan, H. C. Liu, M. Halioua, “Automated Phase-Measuring Profilometry of 3-D Diffuse Objects,” Appl. Opt. 23, 3105–3108 (1984).
    [CrossRef] [PubMed]
  3. M. Takeda, K. Mutoh, “Fourier Transform Profilometry for the Automatic Measurement of 3-D Object Shapes,” Appl. Opt. 22, 3977–3982 (1983).
    [CrossRef] [PubMed]
  4. B. Bhanu, “Representation and Shape Matching of 3-D Objects,” IEEE Trans. Pattern Anal. Machine Intell. PAMI-6, 340–351 (1984).
    [CrossRef]
  5. M. Halioua, R. S. Krishnamurthy, H. C. Liu, F. P. Chiang, “Automated 360° Profilometry of 3-D Diffuse Objects,” Appl. Opt. 24, 2193–2196 (1985).
    [CrossRef] [PubMed]

1985 (1)

1984 (2)

V. Srinivasan, H. C. Liu, M. Halioua, “Automated Phase-Measuring Profilometry of 3-D Diffuse Objects,” Appl. Opt. 23, 3105–3108 (1984).
[CrossRef] [PubMed]

B. Bhanu, “Representation and Shape Matching of 3-D Objects,” IEEE Trans. Pattern Anal. Machine Intell. PAMI-6, 340–351 (1984).
[CrossRef]

1983 (1)

1970 (1)

Bhanu, B.

B. Bhanu, “Representation and Shape Matching of 3-D Objects,” IEEE Trans. Pattern Anal. Machine Intell. PAMI-6, 340–351 (1984).
[CrossRef]

Chiang, F. P.

Halioua, M.

Krishnamurthy, R. S.

Liu, H. C.

Mutoh, K.

Srinivasan, V.

Takasaki, H.

Takeda, M.

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Figures (6)

Fig. 1
Fig. 1

Optical geometry of the experimental arrangement.

Fig. 2
Fig. 2

Schematic diagram of the structured light module.

Fig. 3
Fig. 3

Optical geometry of the projector: (a) front view in the longitudinal section and (b) top view in the horizontal section.

Fig. 4
Fig. 4

Schematic diagram of the complete system.

Fig. 5
Fig. 5

View of the reconstructed 360° shape of the cone–cylinder.

Fig. 6
Fig. 6

Several views of the reconstructed 360° shape of the head.

Tables (1)

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Table I Computational Results of S, W, and R as S0 Varles: (Δ = 10 μm, λ = 6328 Å)

Equations (8)

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O B = K ( M N ) ,
O A = O B sin β / sin ( α + β ) ,
O H = O A · l cos α / ( O A + l sin α ) ;
r = O H + r 0 ,
S = f + ( S 0 f ) f 2 / [ ( S 0 f ) 2 + ( π Δ 2 / λ ) 2 ] ,
W = 2 Δ · f [ ( f S 0 ) 2 + ( π Δ 2 / λ ) 2 ] 1 / 2 ,
R = 2 W / φ = π W 2 / λ ,
C = 1 2 [ n + m + T I ( n ) I ( n + 1 ) I ( n ) + I ( m ) T I ( m ) I ( m + 1 ) ] ,

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