Abstract

We propose an algorithm that can improve the quality of the reconstructed image from the single hologram recorded by the optical system of the parallel four-step phase-shifting digital holography. The proposed algorithm applies the image-reconstruction algorithm of parallel two-step phase-shifting digital holography to the hologram so as to reduce errors in the reconstructed image and eliminate ghosts. We numerically and experimentally confirmed that the proposed algorithm decreased 25% in terms of root mean square error in amplitude, and eliminated the ghosts, respectively.

© 2010 OSA

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  32. http://www.photonic-lattice.com/en/Pol_Camera0.html

2009 (3)

2008 (4)

2007 (4)

2006 (2)

2005 (3)

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45(5), 451–456 (2005).
[CrossRef]

B. Javidi, I. Moon, S. Yeom, and E. Carapezza, “Three-dimensional imaging and recognition of microorganism using single-exposure on-line (SEOL) digital holography,” Opt. Express 13(12), 4492–4506 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-12-4492 .
[CrossRef] [PubMed]

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2005).

2004 (4)

T.-C. Poon, “Recent progress in optical scanning holography,” J. Hologr. Speckle 1(1), 6–25 (2004).
[CrossRef]

O. Matoba and B. Javidi, “Secure three-dimensional data transmission and display,” Appl. Opt. 43(11), 2285–2291 (2004).
[CrossRef] [PubMed]

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85(6), 1069–1071 (2004).
[CrossRef]

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

2003 (1)

2000 (1)

1997 (1)

1972 (1)

M. A. Kronrod, N. S. Merzlyakov, and L. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

1967 (1)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Awatsuji, Y.

Brock, N.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Brown, W. J.

Cai, L. Z.

Carapezza, E.

Chalut, K. J.

Cheng, X. C.

De Nicola, S.

Dong, G. Y.

Ferraro, P.

Finizio, A.

Fujii, A.

Gao, P.

Geist, E.

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Grilli, S.

Harada, D.

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography or three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48(9), 09LB01 (2009).
[CrossRef]

Harder, I.

Hayes, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Hennelly, B. M.

Ito, K.

Javidi, B.

Kakue, T.

Kaneko, A.

Kikuta, H.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45(5), 451–456 (2005).
[CrossRef]

Koyama, T.

Kronrod, M. A.

M. A. Kronrod, N. S. Merzlyakov, and L. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Kubota, T.

Laporta, P.

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Lindlein, N.

Mantel, K.

Matoba, O.

McElhinney, C. P.

Meng, X. F.

Merzlyakov, N. S.

M. A. Kronrod, N. S. Merzlyakov, and L. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Miccio, L.

Mikan, S.

Millán, M. S.

Millerd, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Moon, I.

Morihara, T.

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2005).

Morimoto, Y.

Moriwaki, K.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45(5), 451–456 (2005).
[CrossRef]

Murata, S.

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography or three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48(9), 09LB01 (2009).
[CrossRef]

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2005).

Naughton, T. J.

Nishio, K.

Nomura, T.

North-Morris, M.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Novak, M.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Osellame, R.

Paturzo, M.

Pérez-Cabré, E.

Poon, T.-C.

T.-C. Poon, “Recent progress in optical scanning holography,” J. Hologr. Speckle 1(1), 6–25 (2004).
[CrossRef]

Sasada, M.

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85(6), 1069–1071 (2004).
[CrossRef]

Shen, X. X.

Shimozato, Y.

Sun, W. J.

Tahara, T.

Tajahuerce, E.

Tanaka, Y.

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography or three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48(9), 09LB01 (2009).
[CrossRef]

Ura, S.

Wang, Y. R.

Wax, A.

Wyant, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Xu, X. F.

Yamaguchi, I.

Yamaguchi, T.

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2005).

Yang, X. L.

Yao, B.

Yaroslavskii, L.

M. A. Kronrod, N. S. Merzlyakov, and L. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Yeom, S.

Yoneyama, S.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45(5), 451–456 (2005).
[CrossRef]

Zecchino, M.

M. Zecchino, “Dynamic interferometry: Beating vibration,” Nat. Photonics 2(11), 664–666 (2008).
[CrossRef]

Zhang, H.

Zhang, T.

Appl. Opt. (6)

Appl. Phys. Lett. (2)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11(3), 77–79 (1967).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85(6), 1069–1071 (2004).
[CrossRef]

Exp. Mech. (1)

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45(5), 451–456 (2005).
[CrossRef]

J. Hologr. Speckle (1)

T.-C. Poon, “Recent progress in optical scanning holography,” J. Hologr. Speckle 1(1), 6–25 (2004).
[CrossRef]

Jpn. J. Appl. Phys. (1)

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography or three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48(9), 09LB01 (2009).
[CrossRef]

JSME Int. J. (1)

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2005).

Nat. Photonics (1)

M. Zecchino, “Dynamic interferometry: Beating vibration,” Nat. Photonics 2(11), 664–666 (2008).
[CrossRef]

Opt. Express (4)

Opt. Lett. (6)

Proc. SPIE (1)

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Sov. Phys. Tech. Phys. (1)

M. A. Kronrod, N. S. Merzlyakov, and L. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Other (7)

M. Sasada, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography that can achieve instantaneous measurement,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics,2004), (Chiba, 2004) pp. 187–188.

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics,2004), (Chiba, 2004) pp. 357–358.

T.-C. Poon, ed., Digital holography and three-dimensional display: Principles and Applications, (Springer, 2006).

U. Schnars, and W. Jueptner, Digital Holography, (Springer, 2005).

S. Murata, S. Hayashida, and Y. Tanaka, “Simultaneous measurement of particle depth and size using digital holography,” in Proc 9th Int. Symp. Flow Visual., (Edinburgh, 2000) 371.1–6.

A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting color digital holography,” in Technical Digest of Annual Meeting of the Optical Society of Japan 2005 (Optics Japan 2005), (Tokyo, 2005) pp. 256–257, (in Japanese).

http://www.photonic-lattice.com/en/Pol_Camera0.html

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Figures (5)

Fig. 1
Fig. 1

Schematic diagrams of parallel four-step PSDH. (a) An example of optical implementation, (b) configuration of polarization array for the phase-shifting array device, (c) recorded hologram.

Fig. 2
Fig. 2

Schematic flow of parallel four-step PSDH.

Fig. 3
Fig. 3

Processing procedure of the proposed algorithm.

Fig. 4
Fig. 4

Object and reconstructed images. Amplitude distributions of (a) object, (b) proposed algorithm, (c) parallel four-step algorithm. Phase distributions of (d) object, (e) proposed algorithm, (f) parallel four-step algorithm.

Fig. 5
Fig. 5

Photograph and reconstructed images. (a) Photograph of the object, (b) reconstructed image by the proposed algorithm, (c) reconstructed image by the parallel four-step algorithm.

Tables (1)

Tables Icon

Table 1 RMSEs between the original images and the reconstructed images obtained by the proposed algorithm and the parallel four-step one

Metrics