Robustness of phase retrieval methods in x-ray phase contrast imaging: A comparison

Medical Physics

Volumn 38, Issue 9, 2011, Pages 5073-5080

  Yan, Aimin ^a   Wu, Xizeng ^a   Liu, Hong ^b  

^a University of Alabama at Birmingham   (United States)

^b University of Oklahoma   (United States)

Author keywords

phase contrast; phase retrieval; x ray imaging

Indexed keywords

PHANTOMS;

CLUTTERED BACKGROUNDS; PHASE CONTRASTS; PHASE RETRIEVAL; SINGULARITY PROBLEMS; TIKHONOV REGULARIZATION; TRANSPORT OF INTENSITY EQUATION (TIE); X-RAY PHASE-CONTRAST IMAGING; XRAY IMAGING;

INFORMATION RETRIEVAL;

EID: 80052415748     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3618731     Document Type: Article

References (24)

1. A. Snigirev, On the possibilities of x-ray phase contrast micro-imaging by coherent high-energy synchrotron radiation., Rev. Sci. Instrum. 66, 5486-5492 (1995). 10.1063/1.1146073
2. S. Wilkins, T. Gureyev, D. Gao, A. Pogany, and A. Stevenson, Phase contrast imaging using polychromatic hard x-ray., Nature 384, 335-338 (1996). 10.1038/384335a0
3. A. Pogany, D. Gao, and S. Wilkins, Contrast and resolution in imaging with a microfocus x-ray source., Rev. Sci. Instrum. 68, 2774-2782 (1997). 10.1063/1.1148194
4. P. Cloetens, R. Barrett, J. Baruchel, J.-P. Guigay, and M. Schlenker, Phase objects in synchrotron radiation hard X-ray imaging., J. Phys. D: Appl. Phys. 29, 133-146 (1996). 10.1088/0022-3727/29/1/023
5. C. J. Kotre and I. P. Birch, Phase contrast enhancement of x-ray mammography: A design study., Phys. Med. Biol. 44, 2853-2866 (1999). 10.1088/0031-9155/44/11/312
6. F. Arfelli, Mammography with synchrotron radiation: Phase-detected Techniques., Radiology 215, 286-293 (2000).
7. E. Donnelly and R. Price, Effect of kVp on edge-enhancement index in phase-contrast radiography., Med. Phy. 29, 999-1002 (2002). 10.1118/1.1477416
8. X. Wu and H. Liu, Clinical implementation of phase contrast x-ray imaging: Theoretical foundation and design considerations., Med. Phys. 30, 2169-2179 (2003). 10.1118/1.1593836
9. X. Wu and H. Liu, A new theory of phase-contrast x-ray imaging based on Wigner distributions., Med. Phys. 31, 2378-2384, (2004). 10.1118/1.1776672
10. M. Teague, Deterministic phase retrieval: a Green's function solution., J. Opt. Soc. Am. 73, 1434-1441 (1983). 10.1364/JOSA.73.001434
11. K. Nugent, T. Gureyev, D. Cookson, D. Paganin, and Z. Barnea, Quantitative phase imaging using hard x rays., Phys. Rev. Lett. 77, 2961-2965 (1996). 10.1103/PhysRevLett.77.2961
12. L. Allen and M. Oxley, Phase retrieval from series of images obtained by defocus variation., Opt. Commun. 199, 65-85 (2001). 10.1016/S0030-4018(01)01556- 5
13. A. Yan, X. Wu, and H. Liu, An attenuation-partition based iterative phase retrieval algorithm for in-line phase-contrast imaging., Opt. Express 16, 13330-13341 (2008). 10.1364/OE.16.013330
14. P. Cloetens, R. Mache, M. Schlenker, and S. Lerbs-Mache, Quantitative phase tomography of Arabidopsis seeds reveals intercellular void network., Proc. Natl. Acad. Sci. 103, 14626-14630 (2006). 10.1073/pnas.0603490103
15. T. Gureyev, D. Paganin, G. Myers, Ya. Nesterets, and S. Wilkins, Phase-and-amplitude computer tomography., Appl. Phys. Lett. 89 (1-3), 034102 (2006). 10.1063/1.2226794
16. X. Wu, H. Liu, and A. Yan, Phase-contrast x-ray tomography: Contrast mechanism and roles of phase retrieval., Eur. J. Radiol. 68, S8-S12 (2008). 10.1016/j.ejrad.2008.04.027
17. X. Wu and H. Liu, Phase-space evolution of x-ray coherence in phase-sensitive imaging., Appl. Opt. 47, E44-E52 (2008). 10.1364/AO.47.000E44
18. A. Yan, X. Wu, and H. Liu, Performance analysis of the attenuation-partition based iterative phase retrieval algorithm for in-line phase-contrast imaging., Opt. Express 18, 16074-16089 (2010). 10.1364/OE.18.016074
19. N. A. Dyson, X-rays in Atomic and Nuclear Physics (Essex, UK, 1973).
20. X. Wu, H. Liu, and A. Yan, X-ray phase-attenuation duality and phase retrieval., Opt. Lett. 30, 379-381 (2005). 10.1364/OL.30.000379
21. M. Born and E. Wolf, Principle of Optics, 6th ed. (Pergamon, Oxford, 1980).
22. A. Tikhonov and V. Aresenin, Solution of Ill-posed Problems (Winston Sons, Washington, 1977).
23. B. D. Arhatari, K. Hannah, E. Balaur, and A. G. Peele, Phase imaging using a polychromatic x-ray laboratory source., Opt. Express 16, 19950-19956 (2008). 10.1364/OE.16.019950
24. D. Paganin, S. C. Mayo, T. E. Gureyev, P. Miller, and S. W. Wilkins, Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object., J. Microscopy 206, 33-40 (2002). 10.1046/j.1365-2818.2002. 01010.x