Abstract

Two methods for obtaining a 3-D image are proposed, based on an adequate combination of the directivity properties of light diffracted by an oriented speckle pattern with the well-known stereovision requirements. Compatibility between an actual 3-D display and 3-D diffracted light distribution is reached in such a way that depth perception and a quasi-continuous variation of perspective are present. The analysis of several angular parameters involved is done to minimize some common limitations such as the flipping effect.

© 1986 Optical Society of America

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References

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  1. J. Hamasaki, “Autostereoscopic 3-D Television Experiments,” in Proceedings, Optics in Four Dimensions Conference, L. M. Narducci, M. A. Machado, Eds. (AIP, New York, 1981), pp. 531–556.
  2. A. A. Sawchuk, “Artificial Stereo,” Appl. Opt. 17, 3869 (1978).
    [CrossRef] [PubMed]
  3. H. Bartelt, P. Edl, A. W. Lohmann, “Pseudo-Stereo,” Annual Report 1983 (Erlangen-Nurnberg U., Germany), pp. 14 and 15.
  4. H. J. Rabal, E. E. Sicre, N. Bolognini, R. Arizaga, M. Garavaglia, “Stereograms Through a Speckle Carrier,” Appl. Opt. 22, 881 (1983).
    [CrossRef] [PubMed]
  5. U. Kopf, “Application of Speckling in Carrier-Frequency Photography,” in Proceedings, International Optical Computing Conference, Zurich (IEEE, New York, 1974), Catalog No. 74, pp. 862-3C.
  6. J. C. Dainty, Ed., Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975).

1983 (1)

1978 (1)

Arizaga, R.

Bartelt, H.

H. Bartelt, P. Edl, A. W. Lohmann, “Pseudo-Stereo,” Annual Report 1983 (Erlangen-Nurnberg U., Germany), pp. 14 and 15.

Bolognini, N.

Edl, P.

H. Bartelt, P. Edl, A. W. Lohmann, “Pseudo-Stereo,” Annual Report 1983 (Erlangen-Nurnberg U., Germany), pp. 14 and 15.

Garavaglia, M.

Hamasaki, J.

J. Hamasaki, “Autostereoscopic 3-D Television Experiments,” in Proceedings, Optics in Four Dimensions Conference, L. M. Narducci, M. A. Machado, Eds. (AIP, New York, 1981), pp. 531–556.

Kopf, U.

U. Kopf, “Application of Speckling in Carrier-Frequency Photography,” in Proceedings, International Optical Computing Conference, Zurich (IEEE, New York, 1974), Catalog No. 74, pp. 862-3C.

Lohmann, A. W.

H. Bartelt, P. Edl, A. W. Lohmann, “Pseudo-Stereo,” Annual Report 1983 (Erlangen-Nurnberg U., Germany), pp. 14 and 15.

Rabal, H. J.

Sawchuk, A. A.

Sicre, E. E.

Appl. Opt. (2)

Other (4)

J. Hamasaki, “Autostereoscopic 3-D Television Experiments,” in Proceedings, Optics in Four Dimensions Conference, L. M. Narducci, M. A. Machado, Eds. (AIP, New York, 1981), pp. 531–556.

H. Bartelt, P. Edl, A. W. Lohmann, “Pseudo-Stereo,” Annual Report 1983 (Erlangen-Nurnberg U., Germany), pp. 14 and 15.

U. Kopf, “Application of Speckling in Carrier-Frequency Photography,” in Proceedings, International Optical Computing Conference, Zurich (IEEE, New York, 1974), Catalog No. 74, pp. 862-3C.

J. C. Dainty, Ed., Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975).

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Figures (5)

Fig. 1
Fig. 1

Scheme of the coherent optical system used to encode several object perspectives.

Fig. 2
Fig. 2

Graph of the normalized autocorrelation product associated with the pupil function employed. The u axis is parallel to the bisector of both circular sectors.

Fig. 3
Fig. 3

(a) Cut of the autocorrelation product for several values of θ. The u axis coincides with the corresponding bisectors. (b) Cut of the autocorrelation product where the origin of the graphs is taken, for each value of θ, at the secondary maxima in the curves of (a).

Fig. 4
Fig. 4

Scheme of the decoding step geometry: (a) δ is the angle between consecutive secondary maxima; β is the diffraction lobe angular width; (b) γ is the angle between the optical axis and the diffraction direction corresponding to the secondary maxima; φ is the angular eye separation as seen from point O.

Fig. 5
Fig. 5

Scheme of the optical system employed to record a single stereoscopic image pair.

Equations (2)

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I ˜ ( u , v ) = a δ ( u , v ) + b - P ( ζ - λ z i u , η - λ z i v ) 2 P ( ζ , η ) 2 d ζ d η ,
I ˜ ( u , v ) = a δ ( u , v ) + b P ( λ z i u , λ z i v ) P ( λ z i u , λ z i v ) .

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