Abstract

We propose quantitative localization measurement of a known object with subpixel accuracy using compressive holography. We analyze the theoretical optimal solution in the compressive sampling framework and experimentally demonstrate localization accuracy of 1/45 pixel, in good agreement with the analysis.

© 2012 Optical Society of America

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  1. M. J. Saxton and K. Jacobson, Annu. Rev. Biophys. Biomol. Struct. 26, 373 (1997).
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    [CrossRef]
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    [CrossRef]
  7. E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2012 (1)

2011 (2)

Y. Rivenson and A. Stern, Opt. Lett. 36, 3365 (2011).
[CrossRef]

E. Candès and Y. Plan, IEEE Trans. Inf. Theory 57, 7235 (2011).
[CrossRef]

2010 (2)

2009 (1)

2007 (2)

2006 (3)

E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, Commun. Pure Appl. Math. 59, 1207 (2006).
[CrossRef]

2003 (1)

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

1998 (1)

G. Vendroux and W. G. Knauss, Exp. Mech. 38, 86 (1998).
[CrossRef]

1997 (1)

M. J. Saxton and K. Jacobson, Annu. Rev. Biophys. Biomol. Struct. 26, 373 (1997).
[CrossRef]

1992 (1)

H. Ur and D. Gross, Comput. Vis. Graph. Image Process. 54, 181 (1992).
[CrossRef]

1988 (1)

B. K. P. Horn and E. J. Weldon, Int. J. Comput. Vis. 2, 51 (1988).
[CrossRef]

Barbastathis, G.

Beem, H.

H. Beem, J. Dahl, and M. Triantafyllou, in APS Meeting Abstracts (American Physical Society, 2011), p. 27008.

Bioucas-Dias, J. M.

J. M. Bioucas-Dias and M. A. T. Figueiredo, IEEE Trans. Image Process. 16, 2992 (2007).
[CrossRef]

Brady, D. J.

Candès, E.

E. Candès and Y. Plan, IEEE Trans. Inf. Theory 57, 7235 (2011).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, Commun. Pure Appl. Math. 59, 1207 (2006).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

Choi, K.

Coskun, A. F.

Dahl, J.

H. Beem, J. Dahl, and M. Triantafyllou, in APS Meeting Abstracts (American Physical Society, 2011), p. 27008.

Domínguez-Caballero, J. A.

Donoho, D. L.

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

Figueiredo, M. A. T.

J. M. Bioucas-Dias and M. A. T. Figueiredo, IEEE Trans. Image Process. 16, 2992 (2007).
[CrossRef]

Forkey, J. N.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Goldman, Y. E.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Grier, D. G.

Gross, D.

H. Ur and D. Gross, Comput. Vis. Graph. Image Process. 54, 181 (1992).
[CrossRef]

Ha, T.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Horisaki, R.

Horn, B. K. P.

B. K. P. Horn and E. J. Weldon, Int. J. Comput. Vis. 2, 51 (1988).
[CrossRef]

Jacobson, K.

M. J. Saxton and K. Jacobson, Annu. Rev. Biophys. Biomol. Struct. 26, 373 (1997).
[CrossRef]

Kim, S. H.

Knauss, W. G.

G. Vendroux and W. G. Knauss, Exp. Mech. 38, 86 (1998).
[CrossRef]

Lee, J.

Lee, S. H.

Lim, S.

Loomis, N.

Marks, D. L.

McKinney, S. A.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Oh, S. B.

Ozcan, A.

Plan, Y.

E. Candès and Y. Plan, IEEE Trans. Inf. Theory 57, 7235 (2011).
[CrossRef]

Rivenson, Y.

Roichman, Y.

Romberg, J.

E. Candès, J. Romberg, and T. Tao, Commun. Pure Appl. Math. 59, 1207 (2006).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

Saxton, M. J.

M. J. Saxton and K. Jacobson, Annu. Rev. Biophys. Biomol. Struct. 26, 373 (1997).
[CrossRef]

Selvin, P. R.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Sencan, I.

Stern, A.

Su, T.-W.

Tao, T.

E. Candès, J. Romberg, and T. Tao, Commun. Pure Appl. Math. 59, 1207 (2006).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

Tian, L.

Triantafyllou, M.

H. Beem, J. Dahl, and M. Triantafyllou, in APS Meeting Abstracts (American Physical Society, 2011), p. 27008.

Ur, H.

H. Ur and D. Gross, Comput. Vis. Graph. Image Process. 54, 181 (1992).
[CrossRef]

van Blaaderen, A.

van Oostrum, P.

Vendroux, G.

G. Vendroux and W. G. Knauss, Exp. Mech. 38, 86 (1998).
[CrossRef]

Weldon, E. J.

B. K. P. Horn and E. J. Weldon, Int. J. Comput. Vis. 2, 51 (1988).
[CrossRef]

Yang, S. M.

Yi, G. R.

Yildiz, A.

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Annu. Rev. Biophys. Biomol. Struct. (1)

M. J. Saxton and K. Jacobson, Annu. Rev. Biophys. Biomol. Struct. 26, 373 (1997).
[CrossRef]

Appl. Opt. (1)

Commun. Pure Appl. Math. (1)

E. Candès, J. Romberg, and T. Tao, Commun. Pure Appl. Math. 59, 1207 (2006).
[CrossRef]

Comput. Vis. Graph. Image Process. (1)

H. Ur and D. Gross, Comput. Vis. Graph. Image Process. 54, 181 (1992).
[CrossRef]

Exp. Mech. (1)

G. Vendroux and W. G. Knauss, Exp. Mech. 38, 86 (1998).
[CrossRef]

IEEE Trans. Image Process. (1)

J. M. Bioucas-Dias and M. A. T. Figueiredo, IEEE Trans. Image Process. 16, 2992 (2007).
[CrossRef]

IEEE Trans. Inf. Theory (3)

E. Candès and Y. Plan, IEEE Trans. Inf. Theory 57, 7235 (2011).
[CrossRef]

E. Candès, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

Int. J. Comput. Vis. (1)

B. K. P. Horn and E. J. Weldon, Int. J. Comput. Vis. 2, 51 (1988).
[CrossRef]

Opt. Express (4)

Opt. Lett. (1)

Science (1)

A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003).
[CrossRef]

Other (1)

H. Beem, J. Dahl, and M. Triantafyllou, in APS Meeting Abstracts (American Physical Society, 2011), p. 27008.

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