Abstract

We propose a new analytical edge spread function (ESF) fitting model to measure the modulation transfer function (MTF). The ESF data obtained from a slanted-edge image are fitted to our model through the non-linear least squares (NLLSQ) method. The differentiation of the ESF yields the line spread function (LSF), the Fourier transform of which gives the profile of two-dimensional MTF. Compared with the previous methods, the MTF estimate determined by our method conforms more closely to the reference. A practical application of our MTF measurement in degraded image restoration also validates the accuracy of our model.

© 2011 Chinese Optics Letters

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  1. T. Choi, "IKONOS satellite on orbit modulation transfer function (MTF) measurement using edge and pulse method", MS. Thesis (South Dakota State University, 2002).
  2. J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).
  3. S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).
  4. E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).
  5. J. J. Shea, J. Electron. Imag. 8, 196 (1999).
  6. P. B. Greer and T. van Doorn, Med. Phys. 27, 2048 (2000).
  7. A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).
  8. S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).
  9. H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).
  10. T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).
  11. F. Viallefont-Robinet and D. L'eger, Opt. Express 18, 3531 (2010).
  12. T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).
  13. S. M. Bentzen, Med. Phys. 10, 579 (1983).
  14. F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).
  15. J. M. Boone and J. A. Seibert, Med. Phys. 21, 1541 (1994).
  16. A. P. Tzannes and J. M. Mooney, Opt. Eng. 34, 1808 (1995).
  17. P. S. Considine, J. Opt. Soc. Am. A 56, 1001 (1966).
  18. O. P. Nijhawan, S. K. Gupta, and R. Hradaynath, Appl. Opt. 22, 2453 (1983).
  19. International Organization for Standardization, ISO 12233:2000, Photography electronic still-picture cameras resolution measurements (2000).
  20. W. Liu, "The research on restoration algorithm of motion blur image and its realization", PhD. Thesis (Changchun Institute of Optics, Fine Mechanics and Physics, 2005).

2010 (2)

F. Viallefont-Robinet and D. L'eger, Opt. Express 18, 3531 (2010).

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

2009 (1)

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

2008 (2)

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

2007 (1)

J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).

2005 (1)

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

2000 (1)

P. B. Greer and T. van Doorn, Med. Phys. 27, 2048 (2000).

1999 (1)

J. J. Shea, J. Electron. Imag. 8, 196 (1999).

1998 (1)

E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).

1995 (1)

A. P. Tzannes and J. M. Mooney, Opt. Eng. 34, 1808 (1995).

1994 (1)

J. M. Boone and J. A. Seibert, Med. Phys. 21, 1541 (1994).

1991 (1)

S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).

1990 (1)

F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).

1983 (2)

1966 (1)

P. S. Considine, J. Opt. Soc. Am. A 56, 1001 (1966).

Albert, M.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Bentzen, S. M.

S. M. Bentzen, Med. Phys. 10, 579 (1983).

Berger, M.

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

Bin-Nun, M.

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

Boone, J. M.

J. M. Boone and J. A. Seibert, Med. Phys. 21, 1541 (1994).

Bosmans, H.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Carton, A.-K.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Cen, Z.

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Choi, Y.-W.

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

Considine, P. S.

P. S. Considine, J. Opt. Soc. Am. A 56, 1001 (1966).

Doi, K.

F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).

Doorn, T. van

P. B. Greer and T. van Doorn, Med. Phys. 27, 2048 (2000).

Espinola, R. L.

J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).

Feng, H.

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Flynn, M. J.

E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).

Giger, M. L.

F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).

Greer, P. B.

P. B. Greer and T. van Doorn, Med. Phys. 27, 2048 (2000).

Gupta, S. K.

Hradaynath, R.

Hwang, H.

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

Jacobs, E. L.

J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).

Kao, Y.-H.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Karasik, T.

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

Kim, M.

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

Kwak, S.

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

Lashansky, S.

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

L'eger, D.

Li, Q.

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Li, T.

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Li, X.

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Maidment, A. D. A.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Mansbach, S.

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

Marchal, G.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Mooney, J. M.

A. P. Tzannes and J. M. Mooney, Opt. Eng. 34, 1808 (1995).

Narayanswamy, R.

S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).

Nijhawan, O. P.

Olson, J. T.

J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).

Park, S. K.

S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).

Park, W.

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

Reichenbach, S. E.

S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).

Reimann, D. A.

E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).

Samei, E.

E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).

Seibert, J. A.

J. M. Boone and J. A. Seibert, Med. Phys. 21, 1541 (1994).

Shea, J. J.

J. J. Shea, J. Electron. Imag. 8, 196 (1999).

Struye, L.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Tao, X.

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

Tzannes, A. P.

A. P. Tzannes and J. M. Mooney, Opt. Eng. 34, 1808 (1995).

Vandenbroucke, D.

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

Viallefont-Robinet, F.

Xu, Z.

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Yin, F.

F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).

Acta Opt. Sin. (in Chinese) (1)

T. Li, X. Tao, H. Feng, and Z. Xu, Acta Opt. Sin. (in Chinese) 30, 2891 (2010).

Appl. Opt. (1)

J. Electron. Imag. (1)

J. J. Shea, J. Electron. Imag. 8, 196 (1999).

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

P. S. Considine, J. Opt. Soc. Am. A 56, 1001 (1966).

Med. Phys. (6)

S. M. Bentzen, Med. Phys. 10, 579 (1983).

F. Yin, M. L. Giger, and K. Doi, Med. Phys. 17, 962 (1990).

J. M. Boone and J. A. Seibert, Med. Phys. 21, 1541 (1994).

P. B. Greer and T. van Doorn, Med. Phys. 27, 2048 (2000).

A.-K. Carton, D. Vandenbroucke, L. Struye, A. D. A. Maidment, Y.-H. Kao, M. Albert, H. Bosmans, and G. Marchal, Med. Phys. 32, 1684 (2005).

E. Samei, M. J. Flynn, and D. A. Reimann, Med. Phys. 25, 102 (1998).

Opt. Eng. (3)

J. T. Olson, R. L. Espinola, and E. L. Jacobs, Opt. Eng. 46, 016403 (2007).

S. E. Reichenbach, S. K. Park, and R. Narayanswamy, Opt. Eng. 30, 170 (1991).

A. P. Tzannes and J. M. Mooney, Opt. Eng. 34, 1808 (1995).

Opt. Express (1)

Proc. SPIE (3)

S. Lashansky, S. Mansbach, M. Berger, T. Karasik, and M. Bin-Nun, Proc. SPIE 6941, 69410Z (2008).

H. Hwang, Y.-W. Choi, S. Kwak, M. Kim, and W. Park, Proc. SPIE 7109, 710905 (2008).

T. Li, H. Feng, Z. Xu, X. Li, Z. Cen, and Q. Li, Proc. SPIE 7498, 74981H (2009).

Other (3)

T. Choi, "IKONOS satellite on orbit modulation transfer function (MTF) measurement using edge and pulse method", MS. Thesis (South Dakota State University, 2002).

International Organization for Standardization, ISO 12233:2000, Photography electronic still-picture cameras resolution measurements (2000).

W. Liu, "The research on restoration algorithm of motion blur image and its realization", PhD. Thesis (Changchun Institute of Optics, Fine Mechanics and Physics, 2005).

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