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Study of OSEM with different subsets in grating-based X-ray differential phase-contrast imaging

Analytical and Bioanalytical Chemistry volume 401, pages 837–844 (2011)Cite this article

Abstract

Impressive developments in X-ray imaging are associated with X-ray phase contrast computed tomography based on grating interferometry, a technique that provides increased contrast compared with conventional absorption-based imaging. A new “single-step” method capable of separating phase information from other contributions has been recently proposed. This approach not only simplifies data-acquisition procedures, but, compared with the existing phase step approach, significantly reduces the dose delivered to a sample. However, the image reconstruction procedure is more demanding than for traditional methods and new algorithms have to be developed to take advantage of the “single-step” method. In the work discussed in this paper, a fast iterative image reconstruction method named OSEM (ordered subsets expectation maximization) was applied to experimental data to evaluate its performance and range of applicability. The OSEM algorithm with different subsets was also characterized by comparison of reconstruction image quality and convergence speed. Computer simulations and experimental results confirm the reliability of this new algorithm for phase-contrast computed tomography applications. Compared with the traditional filtered back projection algorithm, in particular in the presence of a noisy acquisition, it furnishes better images at a higher spatial resolution and with lower noise. We emphasize that the method is highly compatible with future X-ray phase contrast imaging clinical applications.

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References

  1. Wilkins S, Gureyev T, Gao D, Pogany A, Stevenson A (1996) Nature 384:335–338

    Article  CAS  Google Scholar 

  2. Zhu P, Zhang K, Wang Z, Liu Y, Liu X, Wu Z, McDonald S, Marone F, Stampanoni M (2010) PNAS 107:13576–13581

    Article  CAS  Google Scholar 

  3. Weitkamp T, Diaz A, David C, Pfeiffer F, Stampanoni M, Cloetens P, Ziegler E (1999) Phys Lett 75:2912–2914

    Google Scholar 

  4. Cloetens P, Ludwig W, Baruchel J, Van Dyck D, Van Landuyt J, Guigay JP, Schlenker M (1999) Appl Phys Lett 75:2912–2914

    Article  CAS  Google Scholar 

  5. Momose A, Takeda T, Itai Y, Hirano K (1996) Nat Med 2:473–475

    Article  CAS  Google Scholar 

  6. Bonse U, Hart M (1965) Appl Phys Lett 6:155–156

    Article  Google Scholar 

  7. Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E, Brönnimann C, Grünzweig C, David C (2008) Nat Mater 7:134–137

    Article  CAS  Google Scholar 

  8. Pfeiffer F, Weitkamp T, Bunk O, David C (2006) Nat Phys 2:258–261

    Article  CAS  Google Scholar 

  9. Takeda Y, Yashiro W, Suzuki Y, Aoki S, Hattori T, Momose A (2007) Jpn J Appl Phys, Part 2 46:89–91

    Article  Google Scholar 

  10. Gordon R, Bender R, Herman GT (1970) J Theor Biol 29:471–481

    Article  CAS  Google Scholar 

  11. Gordon R, Herman G (1971) Commun ACM 14:759–768

    Article  Google Scholar 

  12. Zhu PP, Wang JY, Yuan QX, Huang WX, Shu H, Gao B, Hu TD, Wu ZY (2005) Appl Phys Lett 87:264101–264103

    Article  Google Scholar 

  13. Chapman D, Thomlinson W, Johnston R, Washburn D, Pisano E, Gmur N, Zhong Z, Menk R, Arfelli F, Sayers D (1997) Phys Med Biol 42:2015–2026

    Article  CAS  Google Scholar 

  14. Wang J, Zhu P, Yuan Q, Huang W, Shu H, Chen B, Hu T, Wu Z (2006) Phys Med Biol 51:3391–3396

    Article  Google Scholar 

  15. Oltulu O, Zhong Z, Hasnah M, Wernick MN, Chapman D (2003) J Phys D: Appl Phys 2152–2156

  16. Wang M et al (2007) J Phys D Appl Phys 40:6917–6921

    Article  CAS  Google Scholar 

  17. Huang Z, Kang K, Li Z, Zhu P, Yuan Q, Huang W, Wang J, Yu A (2006) Appl Phys Lett 89:041124

    Article  Google Scholar 

  18. Hudson H, Larkin R (1994) IEEE Trans Med Imaging 13:601–609

    Article  CAS  Google Scholar 

  19. McDonald S, Marone F, Hintermuller C, Mikuljan G, David C, Pfeiffer F, Stampanoni M (2009) J Synchrotron Radiat 16:562–572

    Article  Google Scholar 

  20. Zhang K, Zhu P, Huang W, Yuan Q, Li E, Liu Y (2008) Phys Med Biol 53:5757–5766

    Article  Google Scholar 

  21. Stampanoni M, Groso A, Isenegger A, Mikuljan G, Chen Q, Bertrand A, Henein S, Betemps R, Frommherz U, Bohler P, Meister D, Lange M, Abela R (2006) Trends in synchrotron-based tomographic imaging: the SLS experience. SPIE, San Diego

    Google Scholar 

Download references

Acknowledgements

We would like to thank Professor. Marcelli for many fruitful discussions. This work was partially supported by the National Outstanding Youth Fund (project no. 10125523 to Z.W.), the Knowledge Innovation Program of the Chinese Academy of Sciences (KJCX2-YW-N42), the Key Important Project of the National Natural Science Foundation of China (10734070), the National Natural Science Foundation of China (NSFC 10774144 and 10979055), and the National Basic Research Program of China (2009CB930804).

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Affiliations

  1. Institute of High-Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China

    Kai Zhang, Youli Hong, Peiping Zhu, Qingxi Yuan, Wanxia Huang, Zhili Wang, Shengqi Chu & Ziyu Wu

  2. NSRL-University of Science and Technology of China, Hefei, 230026, China

    Ziyu Wu

  3. Swiss Light Source, Paul Scherrer Institut, 5232, Villigen PSI, Switzerland

    Samuel A. McDonald, Federica Marone & Marco Stampanoni

  4. Department of Radiology, University of Lausanne Medical School, Lausanne, Switzerland

    Samuel A. McDonald

  5. Institute for Biomedical Engineering, University and ETH Zurich, 8092, Zurich, Switzerland

    Marco Stampanoni

  6. Graduate School of the Chinese Academy of Sciences, Beijing, 100864, China

    Kai Zhang & Shengqi Chu

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  1. Kai Zhang
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  2. Youli Hong
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  3. Peiping Zhu
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  4. Qingxi Yuan
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  6. Zhili Wang
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  7. Shengqi Chu
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  8. Samuel A. McDonald
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  9. Federica Marone
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  10. Marco Stampanoni
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  11. Ziyu Wu
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Correspondence to Peiping Zhu or Ziyu Wu.

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Published in the special issue Imaging Techniques with Synchrotron Radiation with Guest Editor Cyril Petibois.

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Zhang, K., Hong, Y., Zhu, P. et al. Study of OSEM with different subsets in grating-based X-ray differential phase-contrast imaging. Anal Bioanal Chem 401, 837–844 (2011). https://doi.org/10.1007/s00216-011-5080-6

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  • DOI: https://doi.org/10.1007/s00216-011-5080-6

Keywords

  • X-ray phase-contrast imaging
  • Computed tomography
  • Phase retrieval
  • OSEM