Abstract

The computed tomography imaging of a local region inside a sample with a size larger than the field of view is particularly important for synchrotron X-ray imaging. In this letter, an improved algorithm is proposed to reconstruct the local structure inside a sample using almost completely local data. The algorithm significantly reduces the X-ray radiation dose and improves computational efficiency. Simulation results show that the new algorithm works well and has a higher reconstruction precision than previous methods, as confirmed by experimental results carried out at the Shanghai Synchrotron Radiation Facility.

© 2014 Chinese Optics Letters

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Liu, Y. Ren, H. Guo, Y. Xue, H. Xie, T. Xiao, and X. Wu, Chin. Opt. Lett. 10, 121101 (2012).
  2. R. C. Chen, L. Kigon, and R. Longo, Opt. Express 21, 7384 (2113).
  3. L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).
  4. A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).
  5. A. I. Katsevich and A. G. Ramm, SIAM J. Appl. Math. 56, 167 (1996).
  6. A. H. Delaney and Y. Bresler, IEEE Trans. Image Processing 4, 799 (1995).
  7. E. A. Rashed and H. Kudo, J. Synchrotron Radiat. 20, 116 (2013).
  8. M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).
  9. A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).
  10. Z. Chen, Opt. Eng. 47, 017001 (2008).
  11. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).
  12. W. R. Madych, Appl. Comput. Harmon. A 7, 54 (1999).
  13. R. M. Lewitt and R. H. T. Bates, Optik, Stuttgart 50, 189 (1978).
  14. R. M. Lewitt, Med. Phys. 6, 412 (1979).
  15. J. C. Yoo and T. H. Han, Circ. Syst. Signal Pr. 28, 819 (2009).
  16. F. Natterer, The Mathematics of Computerized Tomography (Wiley, New York, 1986).

2113 (1)

2013 (1)

E. A. Rashed and H. Kudo, J. Synchrotron Radiat. 20, 116 (2013).

2012 (1)

2011 (1)

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

2009 (1)

J. C. Yoo and T. H. Han, Circ. Syst. Signal Pr. 28, 819 (2009).

2008 (1)

Z. Chen, Opt. Eng. 47, 017001 (2008).

2007 (1)

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

2006 (1)

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

1999 (1)

W. R. Madych, Appl. Comput. Harmon. A 7, 54 (1999).

1996 (1)

A. I. Katsevich and A. G. Ramm, SIAM J. Appl. Math. 56, 167 (1996).

1995 (1)

A. H. Delaney and Y. Bresler, IEEE Trans. Image Processing 4, 799 (1995).

1992 (1)

A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).

1979 (1)

R. M. Lewitt, Med. Phys. 6, 412 (1979).

1978 (1)

R. M. Lewitt and R. H. T. Bates, Optik, Stuttgart 50, 189 (1978).

Bates, R. M. Lewitt and R. H. T.

R. M. Lewitt and R. H. T. Bates, Optik, Stuttgart 50, 189 (1978).

Bresler, Y.

A. H. Delaney and Y. Bresler, IEEE Trans. Image Processing 4, 799 (1995).

Chen, R. C.

Chen, Z.

Z. Chen, Opt. Eng. 47, 017001 (2008).

Clackdoyle, R.

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

Connolley, T.

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

Defrise, M.

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

Delaney, A. H.

A. H. Delaney and Y. Bresler, IEEE Trans. Image Processing 4, 799 (1995).

Faridani, A.

A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).

Guo, H.

Han, T. H.

J. C. Yoo and T. H. Han, Circ. Syst. Signal Pr. 28, 819 (2009).

Ibison, M.

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

Katsevich, A. I.

A. I. Katsevich and A. G. Ramm, SIAM J. Appl. Math. 56, 167 (1996).

Kigon, L.

Kobayashi, M.

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

Kobayashi, T.

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

Kudo, H.

E. A. Rashed and H. Kudo, J. Synchrotron Radiat. 20, 116 (2013).

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

Kyrieleis, A.

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

Lewitt, R. M.

R. M. Lewitt, Med. Phys. 6, 412 (1979).

Li, L. Q.

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

Liu, H.

Longo, R.

Madych, W. R.

W. R. Madych, Appl. Comput. Harmon. A 7, 54 (1999).

Noo, F.

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

Ohgaki, T.

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

Ramm, A. G.

A. I. Katsevich and A. G. Ramm, SIAM J. Appl. Math. 56, 167 (1996).

Rashed, E. A.

E. A. Rashed and H. Kudo, J. Synchrotron Radiat. 20, 116 (2013).

Ren, Y.

Ritman, E. L.

A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).

Smith, K. T.

A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).

Titarenko, V.

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

Toda, H.

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

Withers, P. J.

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

Wu, X.

Xiao, T.

Xie, H.

Xue, Y.

Yoo, J. C.

J. C. Yoo and T. H. Han, Circ. Syst. Signal Pr. 28, 819 (2009).

Appl. Comput. Harmon. A (1)

W. R. Madych, Appl. Comput. Harmon. A 7, 54 (1999).

Chin. Opt. Lett. (1)

Circ. Syst. Signal Pr. (1)

J. C. Yoo and T. H. Han, Circ. Syst. Signal Pr. 28, 819 (2009).

IEEE Trans. Image Processing (1)

A. H. Delaney and Y. Bresler, IEEE Trans. Image Processing 4, 799 (1995).

Inverse Probl. (1)

M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, Inverse Probl. 22, 1037 (2006).

J. Appl. Phys. (1)

L. Q. Li, H. Toda, T. Ohgaki, M. Kobayashi, and T. Kobayashi, J. Appl. Phys. 102, 114908 (2007).

J. Microsc. (1)

A. Kyrieleis, V. Titarenko, M. Ibison, T. Connolley, and P. J. Withers, J. Microsc. 241, 69 (2011).

J. Synchrotron Radiat. (1)

E. A. Rashed and H. Kudo, J. Synchrotron Radiat. 20, 116 (2013).

Med. Phys. (1)

R. M. Lewitt, Med. Phys. 6, 412 (1979).

Opt. Eng. (1)

Z. Chen, Opt. Eng. 47, 017001 (2008).

Opt. Express (1)

SIAM J. Appl. Math. (2)

A. Faridani, E. L. Ritman, and K. T. Smith, SIAM J. Appl. Math. 52, 459 (1992).

A. I. Katsevich and A. G. Ramm, SIAM J. Appl. Math. 56, 167 (1996).

Stuttgart (1)

R. M. Lewitt and R. H. T. Bates, Optik, Stuttgart 50, 189 (1978).

Other (2)

F. Natterer, The Mathematics of Computerized Tomography (Wiley, New York, 1986).

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).

Cited By

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