Abstract

I propose a novel, but yet simple, no-reference, objective image quality measure based on the kurtosis of the restored point spread function. Using this measure, I optimize several phase masks for extended-depth-of-field in hybrid imaging systems and obtain results that are identical to optimization results based on full-reference image measures of restored images. In comparison with full-reference measures, the kurtosis measure is fast to compute and requires no images, noise distributions, or alignment of restored images, but only the signal-to-noise-ratio.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Carles, A. Carnicer, and S. Bosch, Opt. Lasers Eng. 48, 779 (2010).
    [CrossRef]
  2. F. Diaz, F. Goudail, B. Loiseaux, and J.-P. Huignard, J. Opt. Soc. Am. A 27, 2123 (2010).
    [CrossRef]
  3. T. Vettenburg, N. Bustin, and A. R. Harvey, Opt. Express 18, 9220 (2010).
    [CrossRef]
  4. J. Goodman, Introduction to Fourier Optics, 2nd ed.(McGraw-Hill, 1996).
  5. M. Demenikov and A. R. Harvey, Opt. Express 18, 8207 (2010).
    [CrossRef]
  6. J. Edward, R. Dowski, and W. T. Cathey, Appl. Opt. 34, 1859 (1995).
    [CrossRef]
  7. S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).
  8. S. Mezouari and A. R. Harvey, Opt. Lett. 28, 771(2003).
    [CrossRef]
  9. M. Demenikov, E. Findlay, and A. R. Harvey, Opt. Express 17, 6118 (2009).
    [CrossRef]
  10. M. Demenikov, E. Findlay, and A. R. Harvey, Opt. Lett. 36, 969 (2011).
    [CrossRef]
  11. M. Demenikov and A. R. Harvey, Opt. Express 18, 8207 (2010).
    [CrossRef]
  12. M. Somayaji and M. P. Christensen, Appl. Opt. 45, 2911 (2006).
    [CrossRef]
  13. L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
    [CrossRef]
  14. W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).
  15. C. M. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
    [CrossRef]
  16. L. T. DeCarlo, Psychol. Meth. 2, 292 (1997).

2011 (1)

2010 (5)

2009 (1)

2007 (1)

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

2006 (1)

2004 (1)

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

2003 (3)

C. M. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

S. Mezouari and A. R. Harvey, Opt. Lett. 28, 771(2003).
[CrossRef]

1997 (1)

L. T. DeCarlo, Psychol. Meth. 2, 292 (1997).

1995 (1)

Applegate, R. A.

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

Bosch, S.

G. Carles, A. Carnicer, and S. Bosch, Opt. Lasers Eng. 48, 779 (2010).
[CrossRef]

Bradley, A.

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

Bustin, N.

Carles, G.

G. Carles, A. Carnicer, and S. Bosch, Opt. Lasers Eng. 48, 779 (2010).
[CrossRef]

Carnicer, A.

G. Carles, A. Carnicer, and S. Bosch, Opt. Lasers Eng. 48, 779 (2010).
[CrossRef]

Cathey, W. T.

Chen, Y.-P.

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Christensen, M. P.

DeCarlo, L. T.

L. T. DeCarlo, Psychol. Meth. 2, 292 (1997).

Demenikov, M.

Diaz, F.

Dowski, R.

Edward, J.

Findlay, E.

Goodman, J.

J. Goodman, Introduction to Fourier Optics, 2nd ed.(McGraw-Hill, 1996).

Goudail, F.

Harvey, A. R.

Hirata, C. M.

C. M. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
[CrossRef]

Hong, X.

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

Huignard, J.-P.

Loiseaux, B.

Mezouari, S.

Pauca, V. P.

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

Plemmons, R. J.

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

Prasad, S.

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

Seljak, U.

C. M. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
[CrossRef]

Somayaji, M.

Thibos, L. N.

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

Torgersen, T. C.

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

van der Gratch, J.

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

Vettenburg, T.

Ye, Z.

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Yu, F.-H.

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Zhang, W.-Z.

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Zhao, T.-Y.

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Appl. Opt. (2)

J. Opt. Soc. Am. A (1)

J. Vis. (1)

L. N. Thibos, X. Hong, A. Bradley, and R. A. Applegate, J. Vis. 4, 329 (2004).
[CrossRef]

J. Zhejiang Univ. Sci. A (1)

W.-Z. Zhang, Y.-P. Chen, T.-Y. Zhao, Z. Ye, and F.-H. Yu, J. Zhejiang Univ. Sci. A 8, 180 (2007).

Mon. Not. R. Astron. Soc. (1)

C. M. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
[CrossRef]

Opt. Express (4)

Opt. Lasers Eng. (1)

G. Carles, A. Carnicer, and S. Bosch, Opt. Lasers Eng. 48, 779 (2010).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (1)

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gratch, Proc. SPIE 5108, 1 (2003).

Psychol. Meth. (1)

L. T. DeCarlo, Psychol. Meth. 2, 292 (1997).

Other (1)

J. Goodman, Introduction to Fourier Optics, 2nd ed.(McGraw-Hill, 1996).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1.
Fig. 1.

KM versus defocus for the optimal CPM.

Fig. 2.
Fig. 2.

Average KM versus phase mask parameters (α,γ) for different phase masks.

Equations (7)

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

h(W20;x,y)=|F[P(W20;x0,y0)]|2,
hr(W20;x,y)=F1[H(W20;u,v)F(W20;u,v)],
F(W20;u,v)=Hf(W20;u,v)*Hdl(0;u,v)|Hf(W20;u,v)|2+K,
P(W20;x0,y0)=exp(ik(PM(x0,y0)+W20(x02+y02))),
hr(W20;x,y)=F1[|H(W20;u,v)|2Hdl(0;u,v)|H(W20;u,v)|2+K],
κ(z)=μ4(z)μ22(z),
KM=κ(hr(W20;x,y))κ(hdl(0;x,y)),

Metrics