Abstract

We present a photorefractive volume holographic processor for recognition of three-dimensional (3D) objects. The templates are recorded by use of a volume hologram in a photorefractive LiNbO3:Fe crystal located at the Fresnel diffraction region and correlated in real time with a 3D object illuminated by coherent light. Experimental results for recognition of 3D objects are presented and discussed. To the best of our knowledge, this is the first time a photorefractive volume holographic technique for 3D object recognition has been reported.

© 2001 Optical Society of America

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References

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2000

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1997

1991

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1982

R. Bamler and J. Hofer-Alfeis, Opt. Acta. 29, 747 (1982).
[CrossRef]

Anastasio, M. A.

Arsenault, H. H.

Balberg, M.

Bamler, R.

R. Bamler and J. Hofer-Alfeis, Opt. Acta. 29, 747 (1982).
[CrossRef]

Barbastathis, G.

Brady, D. J.

Denkewalter, R.

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

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996).

Hamam, H.

Hofer-Alfeis, J.

R. Bamler and J. Hofer-Alfeis, Opt. Acta. 29, 747 (1982).
[CrossRef]

Javidi, B.

Karasik, Y. B.

McAulay, A. D.

Pan, X.

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]

Réfrégier, Ph.

Rosen, J.

Tajahuerce, E.

Wang, J.

Appl. Opt.

J. Opt. Soc. Am. A

Opt. Acta.

R. Bamler and J. Hofer-Alfeis, Opt. Acta. 29, 747 (1982).
[CrossRef]

Opt. Eng.

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

Opt. Lett.

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996).

H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds., Holographic Data Storage (Springer-Verlag, Berlin, 2000).
[CrossRef]

H. J. Caulfield, ed., Handbook of Optical Holography (Academic, New York, 1979).

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Figures (6)

Fig. 1
Fig. 1

Coordinate system for the 3D object and volume holographic correlator.

Fig. 2
Fig. 2

Experimental setup of the volume holographic processor for 3D object recognition: M1M5, mirrors; P1, P2, polarizers; L1L5, lenses; BE, beam expander; PBS, polarizing beam splitter; HWP, half-wave plate; CCD1, CCD2, CCD cameras.

Fig. 3
Fig. 3

(a) Reference 3D object recorded in the photorefractive crystal as the template. (b) Different 3D object used to test the discrimination capability of the system.

Fig. 4
Fig. 4

(a) Autocorrelation and (b) cross correlation for the 3D objects shown in Fig.  3.

Fig. 5
Fig. 5

Normalized correlation peak as a function of longitudinal displacement of the 3D object.

Fig. 6
Fig. 6

Conventional correlation of 2D images of the 3D object shown in Fig.  3. (a) Autocorrelation, (b) cross correlation.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

Hx,y,z=expjkz0jλz0x,y,zUx,y,zexpjk2z-z×expjk2z0x-x2+y-y2+z-z2dxdydz,
I=H+R2=H2+R2+R*H+RH*,
η=ϵ1kL2ϵ0cosθ2sinc22LΔθsinθλ,
RH*H.
δ*hh,

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