Abstract

We propose a random phase-free kinoform for large objects. When not using the random phase in kinoform calculation, the reconstructed images from the kinoform are heavy degraded, like edge-only preserved images. In addition, the kinoform cannot record an entire object that exceeds the kinoform size because the object light does not widely spread. In order to avoid this degradation and to widely spread the object light, the random phase is applied to the kinoform calculation; however, the reconstructed image is contaminated by speckle noise. In this paper, we overcome this problem by using our random phase-free method and error diffusion method.

© 2015 Optical Society of America

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References

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    [Crossref]

2015 (2)

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23, 9549–9554 (2015).
[Crossref] [PubMed]

2014 (5)

2013 (4)

2012 (2)

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

2011 (2)

2005 (1)

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

1995 (1)

1992 (1)

1991 (1)

1976 (1)

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

1969 (1)

L. Lesem, P. Hirsch, and J. Jordon, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[Crossref]

Amako, J.

Araki, H.

Bieda, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Bryngdahl, Olof

Buckley, E.

Chow, Y. -T.

Ducin, I.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Endo, Y.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

Eschbach, R.

Floyd, R. W.

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Fukuoka, T.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Hasegawa, S.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

Hirayama, R.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

Hirsch, P.

L. Lesem, P. Hirsch, and J. Jordon, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[Crossref]

Hiyama, D.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

Ito, T.

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23, 9549–9554 (2015).
[Crossref] [PubMed]

H. Niwase, N. Takada, H. Araki, H. Nakayama, A. Sugiyama, T. Kakue, T. Shimobaba, and T. Ito, “Real-time spatiotemporal division multiplexing electroholography with a single graphics processing unit utilizing movie features,” Opt. Express 22, 28052–28057 (2014).
[Crossref] [PubMed]

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in IEEE International Conference on Industrial Informatics INDIN’ 15 (Special Session on Digital Holography for Industrial Applications) (2015).

Jiao, A. S. M.

Jordon, J.

L. Lesem, P. Hirsch, and J. Jordon, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[Crossref]

Kakarenko, K.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Kakue, T.

H. Niwase, N. Takada, H. Araki, H. Nakayama, A. Sugiyama, T. Kakue, T. Shimobaba, and T. Ito, “Real-time spatiotemporal division multiplexing electroholography with a single graphics processing unit utilizing movie features,” Opt. Express 22, 28052–28057 (2014).
[Crossref] [PubMed]

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in IEEE International Conference on Industrial Informatics INDIN’ 15 (Special Session on Digital Holography for Industrial Applications) (2015).

Kolodziejczyk, A.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

Kowalczyk, A.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Lesem, L.

L. Lesem, P. Hirsch, and J. Jordon, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[Crossref]

Makowski, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

M. Makowski, “Minimized speckle noise in lens-less holographic projection by pixel separation,” Opt. Express 21, 29205–29216 (2013).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

Masuda, N.

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Mikula, G.

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

Miura, H.

Mori, Y.

Nagahama, Y.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

Nakayama, H.

Nishitsuji, T.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Niwase, H.

Nomura, T.

Oikawa, M.

Okada, N.

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

Poon, T. -C.

Poon, T.-C.

Sakurai, T.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Shimobaba, T.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23, 9549–9554 (2015).
[Crossref] [PubMed]

H. Niwase, N. Takada, H. Araki, H. Nakayama, A. Sugiyama, T. Kakue, T. Shimobaba, and T. Ito, “Real-time spatiotemporal division multiplexing electroholography with a single graphics processing unit utilizing movie features,” Opt. Express 22, 28052–28057 (2014).
[Crossref] [PubMed]

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in IEEE International Conference on Industrial Informatics INDIN’ 15 (Special Session on Digital Holography for Industrial Applications) (2015).

Shiraki, A.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Sonehara, T.

Steinberg, L.

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Sugiyama, A.

Suszek, J.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Sypek, M.

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

Takada, N.

H. Niwase, N. Takada, H. Araki, H. Nakayama, A. Sugiyama, T. Kakue, T. Shimobaba, and T. Ito, “Real-time spatiotemporal division multiplexing electroholography with a single graphics processing unit utilizing movie features,” Opt. Express 22, 28052–28057 (2014).
[Crossref] [PubMed]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Takaki, Y.

Tsang, P. W. M.

Weissbach, S.

Weng, J.

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

Wyrowski, Frank

Yamaguchi, Y.

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

Yokouchi, M.

Appl. Opt. (3)

Comput. Phys. Commun. (1)

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183, 1124–1138 (2012).
[Crossref]

IBM J. Res. Dev. (1)

L. Lesem, P. Hirsch, and J. Jordon, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Dev. 13, 150–155 (1969).
[Crossref]

J. Display Technol. (1)

J. Opt. (1)

T. Shimobaba, T. Kakue, N. Okada, M. Oikawa, Y. Yamaguchi, and T. Ito, “Aliasing-reduced Fresnel diffraction with scale and shift operations,” J. Opt. 15, 075405 (2013).
[Crossref]

Opt. Commun. (2)

T. Shimobaba, M. Makowski, T. Kakue, N. Okada, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, and T. Ito, “Numerical investigation of lensless zoomable holographic projection to multiple tilted planes,” Opt. Commun. 333, 274–280 (2014).
[Crossref]

I. Ducin, T. Shimobaba, M. Makowski, K. Kakarenko, A. Kowalczyk, J. Suszek, M. Bieda, A. Kolodziejczyk, and M. Sypek, “Holographic projection of images with step-less zoom and noise suppression by pixel separation,” Opt. Commun. 340, 131–135 (2015).
[Crossref]

Opt. Eng. (1)

M. Makowski, M. Sypek, A. Kolodziejczyk, and G. Mikula, “Three-plane phase-only computer hologram generated with iterative Fresnel algorithm,” Opt. Eng. 44, 125805 (2005).
[Crossref]

Opt. Express (9)

J. Weng, T. Shimobaba, N. Okada, H. Nakayama, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express 20, 4018–4023 (2012).
[Crossref] [PubMed]

T. Shimobaba and T. Ito, “Random phase-free computer-generated hologram,” Opt. Express 23, 9549–9554 (2015).
[Crossref] [PubMed]

P. W. M. Tsang and T. -C. Poon, “Novel method for converting digital Fresnel hologram to phase-only hologram based on bidirectional error diffusion,” Opt. Express 21, 23680–23686 (2013)
[Crossref] [PubMed]

P. W. M. Tsang, A. S. M. Jiao, and T.-C. Poon, “Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution,” Opt. Express 22, 5060–5066 (2014)
[Crossref] [PubMed]

P. W. M. Tsang, Y. -T. Chow, and T. -C. Poon, “Generation of phase-only Fresnel hologram based on down-sampling,” Opt. Express 22, 25208–25214 (2014).
[Crossref] [PubMed]

H. Niwase, N. Takada, H. Araki, H. Nakayama, A. Sugiyama, T. Kakue, T. Shimobaba, and T. Ito, “Real-time spatiotemporal division multiplexing electroholography with a single graphics processing unit utilizing movie features,” Opt. Express 22, 28052–28057 (2014).
[Crossref] [PubMed]

T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, “Lensless zoomable holographic projection using scaled Fresnel diffraction,” Opt. Express 21, 25285–25290 (2013).
[Crossref] [PubMed]

Y. Takaki and M. Yokouchi, “Speckle-free and grayscale hologram reconstruction using time-multiplexing technique,” Opt. Express 19, 7567–7579 (2011).
[Crossref] [PubMed]

M. Makowski, “Minimized speckle noise in lens-less holographic projection by pixel separation,” Opt. Express 21, 29205–29216 (2013).
[Crossref]

Opt. Lett. (1)

Optik (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Proc Soc. Info. Disp. (1)

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Other (2)

T. C. Poon, ed., Digital Holography and Three-dimensional display: Principles and Applications (Springer, 2006).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in IEEE International Conference on Industrial Informatics INDIN’ 15 (Special Session on Digital Holography for Industrial Applications) (2015).

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Figures (3)

Fig. 1
Fig. 1 Original and reconstructed images (Numerical simulation). (a) original image (b) without random phase (c) with random phase (d) with error diffusion method
Fig. 2
Fig. 2 Proposed method. (a) calculation setup for random phase-free kinoform (b) generated kinoform (c) error diffused kinoform.
Fig. 3
Fig. 3 Reconstructed images (Numerical simulation). (a) without random phase (b) with random phase (c) with error diffusion (d) with our random phase-free method (e) with our random phase-free method and error diffusion. The red dashed boxes indicate the correct image size.

Equations (13)

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W ( x i , y i ) = exp ( i π ( x i 2 + y i 2 ) / λ f i )
u h ( x h , y h ) = Prop z 2 { u i ( x i , y i ) w ( x i , y i ) } ,
S h / 2 : S i / 2 = z 1 : f i ,
θ ( x h , y h ) = arg { u h ( x h , y h ) }
θ ( x h , y h + 1 ) θ ( x h , y h + 1 ) + w 1 e ( x h , y h ) ,
θ ( x h + 1 , y h 1 ) θ ( x h + 1 , y h 1 ) + w 2 e ( x h , y h ) ,
θ ( x h + 1 , y h ) θ ( x h + 1 , y h ) + w 3 e ( x h , y h ) ,
θ ( x h + 1 , y h + 1 ) θ ( x h + 1 , y h + 1 ) + w 4 e ( x h , y h ) ,
u h ( x h , y h ) u h ( x h , y h ) / d ,
u h ( x h ) = C z 1 [ [ u i ( x i ) exp ( i ϕ u ) ] [ exp ( i ϕ i ) Rect ( x i 2 x max ) ] ] ,
exp ( i ϕ u ) = exp ( i π ( ( s 2 s ) x i 2 2 s o x i ) / ( λ z ) ) ,
exp ( i ϕ u ) = exp ( i π s x i 2 ) / ( λ z ) ) ,
C z = exp ( i ϕ c ) / ( i λ z ) = exp ( i k z + i π ( ( 1 s ) x h 2 + 2 o x h + o 2 ) ) / ( λ z ) ) / ( i λ z ) ,

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