Abstract

In-line digital holography (DH) is used in many fields to locate and size micro or nano-objects spread in a volume. To reconstruct simple shaped objects, the optimal approach is to fit an imaging model to accurately estimate their position and their characteristic parameters. Increasing the accuracy of the reconstruction is a big issue in DH, particularly when the pixel is large or the signal-to-noise ratio is low. We suggest exploiting the information redundancy of videos to improve the reconstruction of the holograms by jointly estimating the position of the objects and the characteristic parameters. Using synthetic and experimental data, we checked experimentally that this approach can improve the accuracy of the reconstruction by a factor more than the square root of the image number.

© 2015 Optical Society of America

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References

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2013 (1)

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

2012 (1)

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

2010 (5)

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

C. Fournier, L. Denis, and T. Fournel, J. Opt. Soc. Am. A 27, 1856 (2010).
[Crossref]

J. Katz and J. Sheng, Annu. Rev. Fluid Mech. 42, 531 (2010).
[Crossref]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, Opt. Express 18, 11181 (2010).
[Crossref]

Y. Rivenson, A. Stern, and B. Javidi, J. Disp. Technol. 6, 506 (2010).
[Crossref]

2009 (2)

2007 (2)

2006 (2)

P. Vandewalle, S. Süsstrunk, and M. Vetterli, EURASIP J. Adv. Sig. Pr. 2006, 071459 (2006).

D. Robinson and P. Milanfar, IEEE Trans. Image Process. 15, 1413 (2006).
[Crossref]

2004 (1)

1997 (1)

R. C. Hardie, K. J. Barnard, and E. E. Armstrong, IEEE Trans. Image Process. 6, 1621 (1997).
[Crossref]

1976 (1)

G. Tyler and B. Thompson, J. Mod. Opt. 23, 685 (1976).

Allier, C. P.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Armstrong, E. E.

R. C. Hardie, K. J. Barnard, and E. E. Armstrong, IEEE Trans. Image Process. 6, 1621 (1997).
[Crossref]

Barnard, K. J.

R. C. Hardie, K. J. Barnard, and E. E. Armstrong, IEEE Trans. Image Process. 6, 1621 (1997).
[Crossref]

Bishara, W.

Brady, D. J.

Chareyron, D.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Choi, K.

Churchman, L. S.

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

Coskun, A. F.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, Opt. Express 18, 11181 (2010).
[Crossref]

Denis, L.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

C. Fournier, L. Denis, and T. Fournel, J. Opt. Soc. Am. A 27, 1856 (2010).
[Crossref]

L. Denis, D. A. Lorenz, and D. Trede, Inverse Probl. 25, 115017 (2009).
[Crossref]

F. Soulez, L. Denis, C. Fournier, É. Thiébaut, and C. Goepfert, J. Opt. Soc. Am. A 24, 1164 (2007).
[Crossref]

Fessler, J. A.

Flyvbjerg, H.

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

Fournel, T.

Fournier, C.

Gire, J.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Goepfert, C.

Greenbaum, A.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Grier, D. G.

Grosjean, N.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Hardie, R. C.

R. C. Hardie, K. J. Barnard, and E. E. Armstrong, IEEE Trans. Image Process. 6, 1621 (1997).
[Crossref]

Hennequin, Y.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Horisaki, R.

Javidi, B.

Y. Rivenson, A. Stern, and B. Javidi, J. Disp. Technol. 6, 506 (2010).
[Crossref]

Katz, J.

J. Katz and J. Sheng, Annu. Rev. Fluid Mech. 42, 531 (2010).
[Crossref]

Kay, S. M.

S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice-Hall, 1993).

Kim, S. H.

Lance, M.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Lee, S. H.

Lim, S.

Lorenz, D. A.

L. Denis, D. A. Lorenz, and D. Trede, Inverse Probl. 25, 115017 (2009).
[Crossref]

Luo, W.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Marié, J.-L.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Marks, D. L.

McLeod, E.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Méès, L.

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Milanfar, P.

D. Robinson and P. Milanfar, IEEE Trans. Image Process. 15, 1413 (2006).
[Crossref]

Mortensen, K. I.

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

Mudanyali, O.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

Ozcan, A.

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, Opt. Express 18, 11181 (2010).
[Crossref]

Rivenson, Y.

Y. Rivenson, A. Stern, and B. Javidi, J. Disp. Technol. 6, 506 (2010).
[Crossref]

Robinson, D.

D. Robinson and P. Milanfar, IEEE Trans. Image Process. 15, 1413 (2006).
[Crossref]

Roichman, Y.

Sheng, J.

J. Katz and J. Sheng, Annu. Rev. Fluid Mech. 42, 531 (2010).
[Crossref]

Sotthivirat, S.

Soulez, F.

Spudich, J. A.

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

Stern, A.

Y. Rivenson, A. Stern, and B. Javidi, J. Disp. Technol. 6, 506 (2010).
[Crossref]

Su, T.-W.

Süsstrunk, S.

P. Vandewalle, S. Süsstrunk, and M. Vetterli, EURASIP J. Adv. Sig. Pr. 2006, 071459 (2006).

Thiébaut, É.

Thompson, B.

G. Tyler and B. Thompson, J. Mod. Opt. 23, 685 (1976).

Trede, D.

L. Denis, D. A. Lorenz, and D. Trede, Inverse Probl. 25, 115017 (2009).
[Crossref]

Tyler, G.

G. Tyler and B. Thompson, J. Mod. Opt. 23, 685 (1976).

van Blaaderen, A.

van Oostrum, P.

Vandewalle, P.

P. Vandewalle, S. Süsstrunk, and M. Vetterli, EURASIP J. Adv. Sig. Pr. 2006, 071459 (2006).

Vetterli, M.

P. Vandewalle, S. Süsstrunk, and M. Vetterli, EURASIP J. Adv. Sig. Pr. 2006, 071459 (2006).

Yang, S. M.

Yi, G. R.

Annu. Rev. Fluid Mech. (1)

J. Katz and J. Sheng, Annu. Rev. Fluid Mech. 42, 531 (2010).
[Crossref]

EURASIP J. Adv. Sig. Pr. (1)

P. Vandewalle, S. Süsstrunk, and M. Vetterli, EURASIP J. Adv. Sig. Pr. 2006, 071459 (2006).

IEEE Trans. Image Process. (2)

R. C. Hardie, K. J. Barnard, and E. E. Armstrong, IEEE Trans. Image Process. 6, 1621 (1997).
[Crossref]

D. Robinson and P. Milanfar, IEEE Trans. Image Process. 15, 1413 (2006).
[Crossref]

Inverse Probl. (1)

L. Denis, D. A. Lorenz, and D. Trede, Inverse Probl. 25, 115017 (2009).
[Crossref]

J. Disp. Technol. (1)

Y. Rivenson, A. Stern, and B. Javidi, J. Disp. Technol. 6, 506 (2010).
[Crossref]

J. Mod. Opt. (1)

G. Tyler and B. Thompson, J. Mod. Opt. 23, 685 (1976).

J. Opt. Soc. Am. A (3)

Nat. Methods (1)

K. I. Mortensen, L. S. Churchman, J. A. Spudich, and H. Flyvbjerg, Nat. Methods 7, 377 (2010).
[Crossref]

Nat. Photonics (1)

O. Mudanyali, E. McLeod, W. Luo, A. Greenbaum, A. F. Coskun, Y. Hennequin, C. P. Allier, and A. Ozcan, Nat. Photonics 7, 240 (2013).
[Crossref]

New J. Phys. (1)

D. Chareyron, J.-L. Marié, C. Fournier, J. Gire, N. Grosjean, L. Denis, M. Lance, and L. Méès, New J. Phys. 14, 043039 (2012).
[Crossref]

Opt. Express (3)

Other (1)

S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice-Hall, 1993).

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Figures (5)

Fig. 1.
Fig. 1. Joint parameter estimation.
Fig. 2.
Fig. 2. Experimental configuration for SR of particle holograms.
Fig. 3.
Fig. 3. Illustration of the SR by IP approach with joint optimization. (a) Simulated low-resolution hologram; a Gaussian white noise has been added so that the SNR of hologram is 5. The image area represents 128 × 128 pixels. (b) Hologram super-resolved by a factor 4 using the proposed method (given for illustration purposes).
Fig. 4.
Fig. 4. Illustration of the SR by IP approach with joint optimization. (a) Acquired low-resolution hologram. The original image was cropped to 320 × 320 pixels. (b) Hologram super-resolved by a factor of 4 using the proposed method (given for illustration purposes).
Fig. 5.
Fig. 5. Evolution of the estimated z (blue dots) and r (green crosses) parameters according to the optimization scheme. (a) Individual IP approach over each acquired hologram. (b) Joint IP approach of the 61 image stacks. Each stack consists of 20 images.

Tables (2)

Tables Icon

Table 1. Comparison of Particle Parameter Estimation, with Simulated Hologram Sequences, for Standard Pixel SR Method, Independent and Joint Estimation

Tables Icon

Table 2. Comparison of Particle Parameter Estimation, with Experimental Hologram Sequences, for Standard Pixel SR Method, Independent and Joint Estimation

Metrics