Noise in x-ray grating-based phase-contrast imaging

Medical Physics

Volumn 38, Issue 7, 2011, Pages 4133-4140

  Weber, Thomas ^a   Bartl, Peter ^a   Bayer, Florian ^a   Durst, Jürgen ^a   Haas, Wilhelm ^a   Michel, Thilo ^a   Ritter, André ^a   Anton, Gisela ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

noise; Timepix; x ray grating interferometer; x ray phase contrast imaging

Indexed keywords

IMAGE ENHANCEMENT; INTERFEROMETERS; MEDICAL IMAGING; PHOTONS; X RAY TUBES; X RAYS;

LEAST SQUARES FITTING; MICRO-FOCUS X-RAY TUBES; NOISE; PHASE-CONTRAST IMAGING; TALBOT INTERFEROMETER; TIMEPIX; X-RAY GRATING INTERFEROMETERS; X-RAY PHASE-CONTRAST IMAGING;

X RAY DETECTORS;

EID: 79960203425     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3592935     Document Type: Article

References (33)

1. S. Wilkins, T. Gureyev, D. Gao, A. Pogany, and A. Stevenson, " Phase-contrast imaging using polychromatic hard X-rays.," Nature 384, 335 (1996). 10.1038/384335a0 (Pubitemid 26408509)
2. C. David, B. Nohammer, H. H. Solak, and E. Ziegler, " Differential x-ray phase contrast imaging using a shearing interferometer.," Appl. Phys. Lett. 81, 3287 (2002). 10.1063/1.1516611 (Pubitemid 35360566)
3. A. Momose, " Recent advances in x-ray phase imaging.," Jpn. J. Appl. Phys. 44, 6355 (2005). 10.1143/JJAP.44.6355 (Pubitemid 43160597)
4. A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, " Phase tomography by X-ray Talbot interferometry for biological imaging.," Jpn. J. Appl. Phys. 45, 5254 (2006). 10.1143/JJAP.45.5254 (Pubitemid 43925072)
5. F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, " Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources.," Nat. Phys. 2, 258 (2006). 10.1038/nphys265 (Pubitemid 43553647)
6. J. F. Clauser and M. W. Reinsch, " New theoretical and experimental results in fresnel optics with applications to matter-wave and X-ray interferometry.," Appl. Phys. B 54, 380 (1992). 10.1007/BF00325384
7. A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, " Demonstration of X-Ray Talbot interferometry.," Jpn. J. Appl. Phys. 42, L866 (2003). 10.1143/JJAP.42.L866
8. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, " X-ray phase imaging with a grating interferometer.," Opt. Exp. 13, 6296 (2005). 10.1364/OPEX.13.006296 (Pubitemid 41218520)
9. K. Creath, " Phase-measurement interferometry techniques.," Progr. Opt. 26, 349 (1988). 10.1016/S0079-6638(08)70178-1
10. C. Morgan, " Least-squares estimation in phase-measurement interferometry.," Opt. Lett. 7, 368 (1982). 10.1364/OL.7.000368
11. T. Suleski, " Generation of Lohmann images from binary-phase Talbot array illuminators.," Appl. Opt. 36, 4686 (1997). 10.1364/AO.36.004686
12. M. Bech, " X-ray imaging with a grating interferometer.," Ph.D. thesis, University of Copenhagen, Denmark (2009).
13. F. Pfeiffer, O. Bunk, C. Schulze -Briese, A. Diaz, T. Weitkamp, C. David, J. Van Der Veen, I. Vartanyants, and I. Robinson, Phys. Rev. Lett. 94, 164801 (2005). 10.1103/PhysRevLett.94.164801 (Pubitemid 40620313)
14. F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, " Hard-X-ray dark-field imaging using a grating interferometer.," Nat. Mater. 7, 134 (2008). 10.1038/nmat2096 (Pubitemid 351161343)
15. F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, " X-ray dark-field and phase-contrast imaging using a grating interferometer.," J. Appl. Phys. 105, 102006 (2009). 10.1063/1.3115639
16. R. Barlow, Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences (Wiley, New York, 1989).
17. E. Adams and R. Hippisley, Smithsonian Mathematical Formulae and Tables of Elliptic Functions (Smithsonian Institution, Washington, D.C., 1922).
18. W. Yashiro, Y. Takeda, and A. Momose, " Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry.," J. Opt. Soc. Amer. A 25, 2025 (2008). 10.1364/JOSAA.25.002025
19. V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, " Noise analysis of grating-based x-ray differential phase contrast imaging.," Rev. Sci. Instrum. 81, 073709 (2010). 10.1063/1.3465334
20. K. J. Engel, D. Geller, T. Köhler, G. Martens, S. Schusser, G. Vogtmeier, and E. Rössl, " Contrast-to-noise in X-ray differential phase contrast imaging.," Nucl. Instrum. Meth. Phys. Res. Sec. A (in press).
21. R. Raupach and T. G. Flohr, " Analytical evaluation of the signal and noise propagation in x-ray differential phase-contrast computed tomography.," Phys. Med. Biol. 56, 2219 (2011). 10.1088/0031-9155/56/7/020
22. A. Jobst, G. Kostka, and P. Schmitt, " Neue Methode zur Charakterisierung von Brennflecken kleiner als 5 μm.," DACH-Jahrestagung, Salzburg (2004).
23. M. Salamon, R. Hanke, P. Krüger, F. Sukowski, N. Uhlmann, and V. Voland, " Comparison of different methods for determining the size of a focal spot of microfocus X-ray tubes.," Nucl. Instrum. Meth. Phys. Res. A 591, 54 (2008). 10.1016/j.nima.2008.03.023
24. E. Reznikova, J. Mohr, M. Boerner, V. Nazmov, and P. Jakobs, Microsyst. Technol. 14, 1683 (2008). 10.1007/s00542-007-0507-x
25. X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, " Timepix, a 65k programmable pixel readout chip for arrival time, energy and/or photon counting measurements.," Nucl. Instrum. Meth. Phys. Res. Sec. A 581, 485 (2007). 10.1016/j.nima.2007.08.079 (Pubitemid 47576358)
26. A. Ritter, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, T. Weber, and G. Anton, " SPHINX: An object-oriented simulation toolkit for x-ray phase-contrast imaging regarding particle and wave contributions. " (in preparation).
27. P. Bartl, J. Durst, W. Haas, E. Hempel, T. Michel, A. Ritter, T. Weber, and G. Anton, Proceedings of SPIE, Vol. 7622, edited by, E. Samei, and, N. J. Pelc, (SPIE, Bellingham, Washington, 2010), p. 76220Q.
28. W. Haas, P. Bartl, F. Bayer, J. Durst, T. Michel, A. Ritter, T. Weber, and G. Anton, Nuclear Science Symposium Conference Record (IEEE, Knoxville, 2010).
29. matlab, Version 7.1.0.183 (R14) Service Pack 3 (The MathWorks Inc., Natick, MA, 2005).
30. G. Squires, Messergebnisse und ihre Auswertung: Eine Anleitung zum praktischen naturwissenschaftlichen Arbeiten (Walter de Gruyter, 1971).
31. M. Evans, N. Hastings, and B. Peacock, Statistical Distributions (John Wiley and Sons, Inc., Hoboken, New Jersey, 2001).
32. J. Goodman, Statistical Optics (Wiley, New York, 1985).
33. T. Weber, P. Bartl, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, " Measurements and simulations analyzing the noise behavior of grating-based X-ray phase-contrast imaging.," Nucl. Instrum. Meth. Phys. Res. Sec. A 1 (2010).