Abstract

The 360° profilometry of a three-dimensional (3-D) diffuse object by use of the light intersection and its image reconstruction by surface shading are presented. The lack of data in one direction, which was due to occlusion, was compensated by the projection of two lines of light from different directions. Some experiments to profile objects and their reconstruction by computer are shown. The entire surface model was constructed, and a real shading image was obtained by means of computer graphics.

© 1996 Optical Society of America

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References

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  1. 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]
  2. X. X. Cheng, X. Y. Su, L. R. Guo, “Automated measurement method for 360° profilometry of 3-D diffuse objects,” Appl. Opt. 30, 1274–1278 (1991).
    [CrossRef] [PubMed]
  3. G. J. Agin, T. O. Binford, “Computer description of curved objects,” IEEE Trans. Comput. C25, 439–449 (1976).
    [CrossRef]
  4. Z. Ji, M. C. Leu, “Design of optical triangulation devices,” Opt. Laser Technol. 21, 335–338 (1989).
    [CrossRef]
  5. J. D. Foley, “An improved illumination model for shaded display,” Commun. ACM 23, 343–349 (1980).
    [CrossRef]

1991 (1)

1989 (1)

Z. Ji, M. C. Leu, “Design of optical triangulation devices,” Opt. Laser Technol. 21, 335–338 (1989).
[CrossRef]

1985 (1)

1980 (1)

J. D. Foley, “An improved illumination model for shaded display,” Commun. ACM 23, 343–349 (1980).
[CrossRef]

1976 (1)

G. J. Agin, T. O. Binford, “Computer description of curved objects,” IEEE Trans. Comput. C25, 439–449 (1976).
[CrossRef]

Agin, G. J.

G. J. Agin, T. O. Binford, “Computer description of curved objects,” IEEE Trans. Comput. C25, 439–449 (1976).
[CrossRef]

Binford, T. O.

G. J. Agin, T. O. Binford, “Computer description of curved objects,” IEEE Trans. Comput. C25, 439–449 (1976).
[CrossRef]

Cheng, X. X.

Chiang, F. P.

Foley, J. D.

J. D. Foley, “An improved illumination model for shaded display,” Commun. ACM 23, 343–349 (1980).
[CrossRef]

Guo, L. R.

Halioua, M.

Ji, Z.

Z. Ji, M. C. Leu, “Design of optical triangulation devices,” Opt. Laser Technol. 21, 335–338 (1989).
[CrossRef]

Krishnamurthy, R. S.

Leu, M. C.

Z. Ji, M. C. Leu, “Design of optical triangulation devices,” Opt. Laser Technol. 21, 335–338 (1989).
[CrossRef]

Liu, H. C.

Su, X. Y.

Appl. Opt. (2)

Commun. ACM (1)

J. D. Foley, “An improved illumination model for shaded display,” Commun. ACM 23, 343–349 (1980).
[CrossRef]

IEEE Trans. Comput. (1)

G. J. Agin, T. O. Binford, “Computer description of curved objects,” IEEE Trans. Comput. C25, 439–449 (1976).
[CrossRef]

Opt. Laser Technol. (1)

Z. Ji, M. C. Leu, “Design of optical triangulation devices,” Opt. Laser Technol. 21, 335–338 (1989).
[CrossRef]

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Figures (11)

Fig. 1
Fig. 1

Schematic diagram of the optical geometry of the surface-profiling system.

Fig. 2
Fig. 2

Light intersection from two directions: (a) Point H is hidden, and (b) point H is not hidden from the observation sight.

Fig. 3
Fig. 3

Diagram of the triangular patches for a surface model of an object.

Fig. 4
Fig. 4

Schematic of the experimental system.

Fig. 5
Fig. 5

Reconstructed image of the cylinder model.

Fig. 6
Fig. 6

Photograph of an egg on the cup.

Fig. 7
Fig. 7

Reconstructed image of the egg shown in Fig. 6.

Fig. 8
Fig. 8

Photograph of a plaster figurine of a head.

Fig. 9
Fig. 9

Reconstructed image of the plaster figurine of the head shown in Fig. 8.

Fig. 10
Fig. 10

Reconstructed images of the figurine from the data obtained from lines of light from (a) the right-hand side, and (b) the left-hand side.

Fig. 11
Fig. 11

Image of the cylinder model reconstructed without the use of the smoothing filter.

Equations (2)

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OA = OB sin β / sin ( α + β ) , β = π arctan ( l / OB ) ,
r = OA l cos α / ( OA + l sin α ) ,

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