Abstract

A method of synthesizing computer-generated holograms of real existing objects is proposed that is based on a series of projection images of an incoherently illuminated object recorded from different perspectives. In accordance with the principles of computer tomography, the three-dimensional Fourier spectrum of the object is calculated by use of several projection images. A method of calculating a Fresnel hologram from the three-dimensional Fourier spectrum is proposed. Experimental results in the form of a computer simulation and optical reconstruction are presented.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Piestun and J. Shamir, Opt. Lett. 22, 922 (1997).
    [CrossRef] [PubMed]
  2. R. G. Dorsch, A. W. Lohmann, and S. Sinzinger, Appl. Opt. 33, 869 (1994).
    [CrossRef] [PubMed]
  3. T. Yatagai, Appl. Opt. 15, 2722 (1976).
    [CrossRef] [PubMed]
  4. J. P. Waters, Appl. Phys. Lett. 9, 405 (1966).
    [CrossRef]
  5. T. C. Poon, K. B. Doh, and B. W. Schilling, Opt. Eng. 34, 1338 (1995).
    [CrossRef]
  6. M. Beyerlein, N. Lindlein, and J. Schwider, Appl. Opt. 41, 2440 (2002).
    [CrossRef] [PubMed]
  7. N. Yoshikawa, M. Itoh, and T. Yatagai, Opt. Lett. 23, 1483 (1998).
    [CrossRef]
  8. Y. Li, D. Abookasis, and J. Rosen, Appl. Opt. 40, 2864 (2001).
    [CrossRef]
  9. M. Y. Chiu, H. H. Barrett, R. G. Simpson, C. Chou, J. W. Arendt, and G. R. Gindi, J. Opt. Soc. Am. 69, 1323 (1979).
  10. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 5, p. 104.

2002 (1)

2001 (1)

1998 (1)

1997 (1)

1996 (1)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 5, p. 104.

1995 (1)

T. C. Poon, K. B. Doh, and B. W. Schilling, Opt. Eng. 34, 1338 (1995).
[CrossRef]

1994 (1)

1979 (1)

1976 (1)

1966 (1)

J. P. Waters, Appl. Phys. Lett. 9, 405 (1966).
[CrossRef]

Abookasis, D.

Arendt, J. W.

Barrett, H. H.

Beyerlein, M.

Chiu, M. Y.

Chou, C.

Doh, K. B.

T. C. Poon, K. B. Doh, and B. W. Schilling, Opt. Eng. 34, 1338 (1995).
[CrossRef]

Dorsch, R. G.

Gindi, G. R.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 5, p. 104.

Itoh, M.

Li, Y.

Lindlein, N.

Lohmann, A. W.

Piestun, R.

Poon, T. C.

T. C. Poon, K. B. Doh, and B. W. Schilling, Opt. Eng. 34, 1338 (1995).
[CrossRef]

Rosen, J.

Schilling, B. W.

T. C. Poon, K. B. Doh, and B. W. Schilling, Opt. Eng. 34, 1338 (1995).
[CrossRef]

Schwider, J.

Shamir, J.

Simpson, R. G.

Sinzinger, S.

Waters, J. P.

J. P. Waters, Appl. Phys. Lett. 9, 405 (1966).
[CrossRef]

Yatagai, T.

Yoshikawa, N.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Schematic of a recording system for projection of images from different perspectives.

Fig. 2
Fig. 2

Schematic of the procedure for component extraction.

Fig. 3
Fig. 3

Projection images generated by a computer.

Fig. 4
Fig. 4

Computer simulation: reconstructed images in the vicinity of object planes.

Fig. 5
Fig. 5

Experimental results of optical reconstruction.

Equations (10)

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

O2xij,yij=O1xij,yij,zijdzij,
O3uij,vij=O1xij,yij,zij×exp-i2πuijxij+vijyijdxijdyijdzij,
gz1u,vO1x,y,z=z1×exp-i2πλux+vyf-u2+v2z12f2dxdy,
gu,vO1x,y,z×exp-i2πλux+vyf-u2+v2z2f2dxdydz.
xij=cos θix-sin θiz, yij=-sin θi sin ϕjx+cos ϕjy-cos θi sin ϕjz.
O3uij,vij=O1x,y,zexp-i2πuij-vijθiϕjx+vijy-uijθi+vijϕjzdxdydz,
uij=2θi/λ,    vij=2ϕj/λ.
Fθi,ϕj=O3uij=2θi/λ,vij=2ϕj/λ=O1x,y,zexp-i4πλθi1-ϕj2x+ϕjy-θi2+ϕj2zdxdydz.
Fθi,ϕj=O1x,y,z×exp-i2πλu0x+v0yf-u02+v02z2f2dxdydz.
hx0,y0=CF-1F* expiπλRx02+y02=CF-1Fνx,νyexp-iλRπνx2+νy2,

Metrics