Abstract

Horizontally scanning holography can enlarge both screen size and viewing zone angle. A microelectromechanical-system spatial light modulator, which can generate only binary images, is used to generate hologram patterns. Thus, techniques to improve gray-scale representation in reconstructed images should be developed. In this study, the error diffusion technique was used for the binarization of holograms. When the Floyd–Steinberg error diffusion coefficients were used, gray-scale representation was improved. However, the linearity in the gray-scale representation was not satisfactory. We proposed the use of a correction table and showed that the linearity was greatly improved.

© 2014 Optical Society of America

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References

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1995

F. Fetthauer, S. Weissbach, and O. Bryngdahl, Opt. Commun. 114, 230 (1995).
[CrossRef]

1989

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 72, 37 (1989).
[CrossRef]

1988

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 67, 167 (1988).
[CrossRef]

1984

1976

R. W. Floyd and L. Steinberg, Proc. Soc. Inf. Disp. 17, 75 (1976).

1968

1962

1949

D. Gabor, Proc. R. Soc. London 197, 454 (1949).
[CrossRef]

Bala, R.

G. Sharma and R. Bala, Digital Color Imaging Handbook (CRC, 2002).

Bryngdahl, O.

F. Fetthauer, S. Weissbach, and O. Bryngdahl, Opt. Commun. 114, 230 (1995).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 72, 37 (1989).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 67, 167 (1988).
[CrossRef]

R. Hauch and O. Bryngdahl, J. Opt. Soc. Am. A 1, 5 (1984).
[CrossRef]

O. Bryngdahl and A. Lohmann, J. Opt. Soc. Am. 58, 620 (1968).
[CrossRef]

Fetthauer, F.

F. Fetthauer, S. Weissbach, and O. Bryngdahl, Opt. Commun. 114, 230 (1995).
[CrossRef]

Floyd, R. W.

R. W. Floyd and L. Steinberg, Proc. Soc. Inf. Disp. 17, 75 (1976).

Gabor, D.

D. Gabor, Proc. R. Soc. London 197, 454 (1949).
[CrossRef]

Hauch, R.

Leith, E. N.

Lohmann, A.

Okada, N.

Sharma, G.

G. Sharma and R. Bala, Digital Color Imaging Handbook (CRC, 2002).

Steinberg, L.

R. W. Floyd and L. Steinberg, Proc. Soc. Inf. Disp. 17, 75 (1976).

Takaki, Y.

Tanemoto, Y.

Upatnieks, J.

Weissbach, S.

F. Fetthauer, S. Weissbach, and O. Bryngdahl, Opt. Commun. 114, 230 (1995).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 72, 37 (1989).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 67, 167 (1988).
[CrossRef]

Wyrowski, F.

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 72, 37 (1989).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 67, 167 (1988).
[CrossRef]

Yokouchi, M.

Appl. Opt.

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Commun.

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 72, 37 (1989).
[CrossRef]

F. Fetthauer, S. Weissbach, and O. Bryngdahl, Opt. Commun. 114, 230 (1995).
[CrossRef]

S. Weissbach, F. Wyrowski, and O. Bryngdahl, Opt. Commun. 67, 167 (1988).
[CrossRef]

Opt. Express

Proc. R. Soc. London

D. Gabor, Proc. R. Soc. London 197, 454 (1949).
[CrossRef]

Proc. Soc. Inf. Disp.

R. W. Floyd and L. Steinberg, Proc. Soc. Inf. Disp. 17, 75 (1976).

Other

G. Sharma and R. Bala, Digital Color Imaging Handbook (CRC, 2002).

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Figures (8)

Fig. 1.
Fig. 1.

Horizontally scanning holographic display.

Fig. 2.
Fig. 2.

Calculation of elementary holograms.

Fig. 3.
Fig. 3.

Error diffusion algorithm: (a) error diffusion scheme and (b) Floyd–Steinberg error diffusion coefficients.

Fig. 4.
Fig. 4.

Test patterns having different gray levels.

Fig. 5.
Fig. 5.

Elementary holograms (a) before binarization, (b) binarized by the simple binarization method, (c) binarized by the Floyd–Steinberg algorithm, and (d) using error diffusion with a correction table.

Fig. 6.
Fig. 6.

Reconstructed images of test patterns generated by (a) simple binarization, (b) error diffusion, and (c) error diffusion with a correction table.

Fig. 7.
Fig. 7.

Measured light intensities of reconstructed images generated by simple binarization, error diffusion, and error diffusion with a correction table.

Fig. 8.
Fig. 8.

Reconstructed 3D images: (a) texture images and (b) depth images; images reconstructed by (c) simple binarization, (d) error diffusion, and (e) error diffusion with a correction table.

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