Abstract

During the last years the theory of compressive sensing has found significant utility in the digital holography realm. In this letter we summarize and extend our previous theoretical results which determine the relation between the number of Fresnel samples required on the object illumination type, illumination wavelength, imaging geometry and sensor's size and resolution.

© 2014 Chinese Optics Letters

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2013

2012

2011

2010

A. F. Coskun, I. Sencan, T.-W. Su, and A. Ozcan, Opt. Express 18, 10510 (2010).

Y. Rivenson, A. Stern, and B. Javidi, IEEE/OSA Disp. Techol. J. 6, 506 (2010).

2009

Y. Rivenson and A. Stern, IEEE Signal Processing Lett. 16, 449 (2009).

A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Review 51, 34 (2009).

L. Denis, D. Lorenz, E. Thiebaut, C. Fournier, and D. Trede, Opt. Lett. 34, 3475 (2009).

D. J. Brady, K. Choi, D. L. Marks, R. Horisaki, and S. Lim, Opt. Express 17, 13040 (2009).

2008

E. Cand`es and M. Wakin, IEEE Signal Processing Magazine 25, 21 (2008).

1999

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Balber, S.

Banerjee, P.

Barbastathis, G.

Brady, D. J.

Bruckstein, A. M.

A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Review 51, 34 (2009).

Cand`es, E.

E. Cand`es and M. Wakin, IEEE Signal Processing Magazine 25, 21 (2008).

Choi, K.

Coskun, A. F.

Denis, L.

Donoho, D. L.

A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Review 51, 34 (2009).

Elad, M.

A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Review 51, 34 (2009).

Ferreira, C.

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Fournier, C.

Garcia, J.

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Horisaki, R.

Huang, H.

Javidi, B.

Y. Rivenson, A. Stern, and B. Javidi, Appl. Opt. 52, A423 (2013).

Y. Rivenson, A. Stern, and B. Javidi, IEEE/OSA Disp. Techol. J. 6, 506 (2010).

Lee, J.

Lim, S.

Liu, Y.

Lorenz, D.

Marinho, L. M. Bernardo and F.

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Marks, D. L.

Mas, D.

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Nehmetallah, G.

Ozcan, A.

Rivenson, Y.

Rosen, J.

Rot, A.

Sencan, I.

Stern, A.

Su, T.-W.

Thiebaut, E.

Tian, L.

Trede, D.

Triantafyllou, M.

Wakin, M.

E. Cand`es and M. Wakin, IEEE Signal Processing Magazine 25, 21 (2008).

Adv. Opt. Photon.

Appl. Opt.

IEEE Signal Processing Lett.

Y. Rivenson and A. Stern, IEEE Signal Processing Lett. 16, 449 (2009).

IEEE Signal Processing Magazine

E. Cand`es and M. Wakin, IEEE Signal Processing Magazine 25, 21 (2008).

IEEE/OSA Disp. Techol. J.

Y. Rivenson, A. Stern, and B. Javidi, IEEE/OSA Disp. Techol. J. 6, 506 (2010).

Opt. Commun.

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo and F. Marinho, Opt. Commun. 164, 233 (1999).

Opt. Express

Opt. Lett.

SIAM Review

A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Review 51, 34 (2009).

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

T. Kreis, Handbook of Holographic Interferometry, 1st ed. (Wiley-VCH, Weinheim, 2004), Chap. 3.

Y. C. Eldar and G. Kutyniok, Compressed Sensing: Theory and Applications (Cambridge University Press, 2012).

M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing (Springer, 2010).

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