Abstract

For digital holographic microscopy applications, we modify the focus criterion based on the integration of the amplitude modulus to make possible its use regardless of the phase or amplitude nature of the objects under test. When applied on holographic data, the original criterion gives, at the focus plane, a minimum or a maximum, for amplitude or phase objects. The criterion we propose here operates on high-pass filtered complex amplitudes. It is shown that the proposed criterion gives a minimum for both types of objects when the focus plane is reached. Experimental results on real samples and simulations are provided, illustrating the efficiency and the potential of the method.

© 2014 Optical Society of America

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[CrossRef]

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

J. Kostencka, T. Kozacki, and K. Liżewski, Opt. Commun. 297, 20 (2013).
[CrossRef]

2012

2011

2009

2008

2007

2006

F. Dubois, C. Shockaert, N. Callens, and C. Yourassowsky, Opt. Express 14, 5895 (2006).
[CrossRef]

F. Dubois, N. Callens, C. Yourassowsky, M. Hoyos, P. Kurowski, and O. Monnom, Appl. Opt. 45, 864 (2006).
[CrossRef]

Y.-J. Choo and B.-S. Kang, Meas. Sci. Technol. 17, 761 (2006).
[CrossRef]

J. Sheng, E. Malkiel, and J. Katz, Appl. Opt. 45, 3893 (2006).
[CrossRef]

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

2005

2004

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

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

2003

2001

1999

1998

1989

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

1982

1980

Allano, D.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Antkowiak, M.

Cai, L.

Callens, N.

Choo, Y.-J.

Y. Yang, B.-S. Kang, and Y.-J. Choo, Appl. Opt. 47, 817 (2008).
[CrossRef]

Y.-J. Choo and B.-S. Kang, Meas. Sci. Technol. 17, 761 (2006).
[CrossRef]

Coëtmellec, S.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Colomb, T.

Coppola, G.

Cuche, E.

Dan, D.

Davis, C. S.

De Nicola, S.

Debeir, O.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

Decaestecker, C.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

Deng, C.

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

Depeursinge, C.

Dirksen, D.

Distante, C.

Dohet-Eraly, J.

Dubois, F.

Egli, M.

El Mallahi, A.

Emery, Y.

Ferraro, P.

Finizio, A.

Gao, P.

Garcia-Sucerquia, J.

Gillespie, J.

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

Godard, G.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Guo, R.

Hoyos, M.

Hu, Q.

Huang, J.

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

Huang, L.

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Ina, H.

Javidi, B.

Jericho, M.

Jin, H.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

Joannes, L.

Kang, B.-S.

Y. Yang, B.-S. Kang, and Y.-J. Choo, Appl. Opt. 47, 817 (2008).
[CrossRef]

Y.-J. Choo and B.-S. Kang, Meas. Sci. Technol. 17, 761 (2006).
[CrossRef]

Katz, J.

Kemper, B.

King, R.

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

Kiss, R.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

Kobayashi, S.

Kostencka, J.

J. Kostencka, T. Kozacki, and K. Liżewski, Opt. Commun. 297, 20 (2013).
[CrossRef]

Kozacki, T.

J. Kostencka, T. Kozacki, and K. Liżewski, Opt. Commun. 297, 20 (2013).
[CrossRef]

Kreuzer, H.

Kühn, J.

Kurowski, P.

Langehanenberg, P.

Lebrun, D.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Legros, J.-C.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

F. Dubois, L. Joannes, and J.-C. Legros, Appl. Opt. 38, 7085 (1999).
[CrossRef]

Lei, M.

Li, G.

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Li, W.

Li, Y.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

Liebling, M.

Lin, C.

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Lizewski, K.

J. Kostencka, T. Kozacki, and K. Liżewski, Opt. Commun. 297, 20 (2013).
[CrossRef]

Loomis, N. C.

Ma, B.

Ma, L.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

Magistretti, P. J.

Malkiel, E.

Marquet, P.

Mater, M.

Meinertzhagen, I.

Memmolo, P.

Min, J.

Monnom, O.

F. Dubois, N. Callens, C. Yourassowsky, M. Hoyos, P. Kurowski, and O. Monnom, Appl. Opt. 45, 864 (2006).
[CrossRef]

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

Nazarathy, M.

Ni, J.

Paranthoën, P.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Parent, J.

Paturzo, M.

Pierattini, G.

Rappaz, B.

Richard, S.

Rupp, R.

Salah, N.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Shamir, J.

Sheng, J.

Shockaert, C.

Takeda, M.

Tang, L.

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Toy, M. F.

Trujillo, C. A.

Unser, M.

Van Ham, P.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

von Bally, G.

Wang, H.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

Xu, L.

Xu, W.

Yamaguchi, I.

Yan, S.

Yang, Y.

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Y. Yang, B.-S. Kang, and Y.-J. Choo, Appl. Opt. 47, 817 (2008).
[CrossRef]

Yao, B.

Ye, T.

Yourassowsky, C.

Yu, L.

Zhang, T.

Zheng, J.

Appl. Opt.

J. Biomed. Opt.

F. Dubois, C. Yourassowsky, O. Monnom, J.-C. Legros, O. Debeir, P. Van Ham, R. Kiss, and C. Decaestecker, J. Biomed. Opt. 11, 054032 (2006).
[CrossRef]

J. Opt. A

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A 6, 396 (2004).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Meas. Sci. Technol.

N. Salah, G. Godard, D. Lebrun, P. Paranthoën, D. Allano, and S. Coëtmellec, Meas. Sci. Technol. 19, 074001 (2008).
[CrossRef]

Y.-J. Choo and B.-S. Kang, Meas. Sci. Technol. 17, 761 (2006).
[CrossRef]

Opt. Commun.

C. Deng, J. Huang, G. Li, and Y. Yang, Opt. Commun. 291, 52 (2013).
[CrossRef]

J. Kostencka, T. Kozacki, and K. Liżewski, Opt. Commun. 297, 20 (2013).
[CrossRef]

Opt. Express

Opt. Lett.

Optik

G. Li, C. Lin, L. Tang, L. Huang, and Y. Yang, Optik 123, 609 (2012).
[CrossRef]

Pattern Recogn. Lett.

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

Test on an algal species. (a) Modulus of the amplitude. (b) Intensity of the reconstructed high-pass filtered amplitude at the best-detected focus plane (reconstruction distance d=68μm). (c) Modulus of the refocused amplitude. (d) Unwrapped phase map of the refocused amplitude. (e) Evolution of the criteria MH,d (proposed) and Md (original) as a function of the reconstruction distance d. The curve exhibiting a minimum at d=68μm corresponds to MH,d while the one with a maximum, at the same d, corresponds to Md. The presence of a maximum for Md shows the phase nature of the object. Scalebar=20μm.

Fig. 2.
Fig. 2.

Test on a simulated opaque spherical particle of 20 μm diameter defocused by 100μm. (a) Modulus of the amplitude. (b) Intensity of the reconstructed high-pass filtered amplitude at d=100μm. (c) Modulus of the refocused amplitude. (d) Evolution of the criteria MH,d (proposed) and Md (original) as a function of the reconstruction distance d. The two curves exhibit a minimum at d=100μm. Scalebar=20μm.

Equations (6)

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

gd(r)=exp{jkd}F1Q[λ2d]F+1g0(r),
|drgd|=|duQ[λ2d]F+1g0drexp{j2πr·u}|,
|drgd(r)|=|drg0(r)|,
Md=dr|gd(r)|
MH,d=dr|(hgd)(r)|.
H(u,v)=(1exp{(u2+v2)/2σ2}),

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