Abstract

The searching and recovering of the correct reconstruction distance in digital holography (DH) can be a cumbersome and subjective procedure. Here we report on an algorithm for automatically estimating the in-focus image and recovering the correct reconstruction distance for speckle holograms. We have tested the approach in determining the reconstruction distances of stretched digital holograms. Stretching a hologram with a variable elongation parameter makes it possible to change the in-focus distance of the reconstructed image. In this way, the proposed algorithm can be verified at different distances by dispensing the recording of different holograms. Experimental results are shown with the aim of demonstrating the usefulness of the proposed method, and a comparative analysis has been performed with respect to other existing algorithms developed for DH.

© 2011 Optical Society of America

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2010 (4)

2009 (3)

2008 (3)

2007 (1)

2006 (1)

2004 (4)

M. Liebling and M. Unser, J. Opt. Soc. Am. A 21, 2424 (2004).
[Crossref]

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, Appl. Phys. Lett. 85, 2709 (2004).
[Crossref]

M. T. Özgen and T. E. Tuncer, Opt. Eng. 43, 1300 (2004).
[Crossref]

Y. Sun, S. Duthaler, and B. J. Nelson, Microsc. Res. Tech. 65, 139 (2004).
[Crossref] [PubMed]

2000 (1)

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

1985 (1)

F. C. Groen, I. T. Young, and G. Ligthart, Cytometry 6, 81 (1985).
[Crossref] [PubMed]

1978 (1)

H. Tamura, S. Mori, and T. Yamawaki, IEEE Trans. Syst. Man Cyber. 8, 460 (1978).
[Crossref]

Barbastathis, G.

Bishara, W.

Callens, N.

Choo, Y. J.

Y. Yang, B. S. Kang, and Y. J. Choo, Proc. SPIE, 6723, 672365, doi: 10.1117/12.787618 (2007).

Coppola, G.

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, Appl. Phys. Lett. 85, 2709 (2004).
[Crossref]

Cornelissen, F.

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

Davis, C. S.

De Nicola, S.

S. Grilli, L. Miccio, V. Vespini, A. Finizio, S. De Nicola, and P. Ferraro, Opt. Express 16, 8084 (2008).
[Crossref] [PubMed]

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, Appl. Phys. Lett. 85, 2709 (2004).
[Crossref]

Dirksen, D.

Domínguez-Caballero, J. A.

Dubois, F.

Duthaler, S.

Y. Sun, S. Duthaler, and B. J. Nelson, Microsc. Res. Tech. 65, 139 (2004).
[Crossref] [PubMed]

Ferraro, P.

Finizio, A.

Geerts, H.

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

Geusebroek, J.-M.

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

Grilli, S.

Groen, F. C.

F. C. Groen, I. T. Young, and G. Ligthart, Cytometry 6, 81 (1985).
[Crossref] [PubMed]

Hu, Q.

Itoh, M.

Kang, B. S.

Y. Yang, B. S. Kang, and Y. J. Choo, Proc. SPIE, 6723, 672365, doi: 10.1117/12.787618 (2007).

Kemper, B.

Kim, D. Y.

Kim, T.

Kim, T. G.

Kim, Y. S.

Langehanenberg, P.

Lee, J. Y.

Lee, S.

Li, W.

Liebling, M.

Ligthart, G.

F. C. Groen, I. T. Young, and G. Ligthart, Cytometry 6, 81 (1985).
[Crossref] [PubMed]

Loomis, N.

Loomis, N. C.

Memmolo, P.

Miccio, L.

Mori, S.

H. Tamura, S. Mori, and T. Yamawaki, IEEE Trans. Syst. Man Cyber. 8, 460 (1978).
[Crossref]

Näsänen, R.

Naughton, T. J.

Nelson, B. J.

Y. Sun, S. Duthaler, and B. J. Nelson, Microsc. Res. Tech. 65, 139 (2004).
[Crossref] [PubMed]

Ozcan, A.

Özgen, M. T.

M. T. Özgen and T. E. Tuncer, Opt. Eng. 43, 1300 (2004).
[Crossref]

Paturzo, M.

Pierattini, G.

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, Appl. Phys. Lett. 85, 2709 (2004).
[Crossref]

Poon, T. C.

Qi, Y.-L.

Y.-L. Qi, Second International Symposium on Knowledge Acquisition and Modeling (IEEE, 2009), Vol. 3, pp 174–177.
[Crossref]

Schockaert, C.

Smeulders, A. W. M.

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

Sun, Y.

Y. Sun, S. Duthaler, and B. J. Nelson, Microsc. Res. Tech. 65, 139 (2004).
[Crossref] [PubMed]

Tachiki, M. L.

Tamura, H.

H. Tamura, S. Mori, and T. Yamawaki, IEEE Trans. Syst. Man Cyber. 8, 460 (1978).
[Crossref]

Tian, L.

Tuncer, T. E.

M. T. Özgen and T. E. Tuncer, Opt. Eng. 43, 1300 (2004).
[Crossref]

Unser, M.

Vespini, V.

von Bally, G.

Yamawaki, T.

H. Tamura, S. Mori, and T. Yamawaki, IEEE Trans. Syst. Man Cyber. 8, 460 (1978).
[Crossref]

Yang, W.

Yang, Y.

Y. Yang, B. S. Kang, and Y. J. Choo, Proc. SPIE, 6723, 672365, doi: 10.1117/12.787618 (2007).

Yatagai, T.

Young, I. T.

F. C. Groen, I. T. Young, and G. Ligthart, Cytometry 6, 81 (1985).
[Crossref] [PubMed]

Yourassowsky, C.

Zhu, H.

Appl. Opt. (4)

Appl. Phys. Lett. (1)

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, Appl. Phys. Lett. 85, 2709 (2004).
[Crossref]

Cytometry (2)

F. C. Groen, I. T. Young, and G. Ligthart, Cytometry 6, 81 (1985).
[Crossref] [PubMed]

J.-M. Geusebroek, F. Cornelissen, A. W. M. Smeulders, and H. Geerts, Cytometry 39, 1 (2000).
[Crossref] [PubMed]

IEEE Trans. Syst. Man Cyber. (1)

H. Tamura, S. Mori, and T. Yamawaki, IEEE Trans. Syst. Man Cyber. 8, 460 (1978).
[Crossref]

J. Opt. Soc. Am. A (2)

J. Opt. Soc. Korea (1)

Microsc. Res. Tech. (1)

Y. Sun, S. Duthaler, and B. J. Nelson, Microsc. Res. Tech. 65, 139 (2004).
[Crossref] [PubMed]

Opt. Eng. (1)

M. T. Özgen and T. E. Tuncer, Opt. Eng. 43, 1300 (2004).
[Crossref]

Opt. Express (5)

Opt. Lett. (1)

Other (3)

V.Castelli and L.D.Bergman, eds., Image Databases: Search and Retrieval of Digital Imagery (Wiley, 2002).

Y.-L. Qi, Second International Symposium on Knowledge Acquisition and Modeling (IEEE, 2009), Vol. 3, pp 174–177.
[Crossref]

Y. Yang, B. S. Kang, and Y. J. Choo, Proc. SPIE, 6723, 672365, doi: 10.1117/12.787618 (2007).

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Figures (3)

Fig. 1
Fig. 1

Comparison between different in-focus estimation algorithms; (a) and (b) are digital reconstructions of the holograms at the estimated distance.

Fig. 2
Fig. 2

Different reconstructions of the same hologram with stretching factors (a)  α = 1 , (b)  α = 1.45 , and (c)  α = 1.85 .

Fig. 3
Fig. 3

Comparison between the theoretical in-focus distance and the one estimated by the proposed algorithm.

Equations (2)

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C = σ ( I ) I ,
D = α 2 d ,

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