An iterative phase retrieval algorithm for in-line x-ray phase imaging

doi:10.1364/OE.15.008383

Optics Express

Editor: C. Martijn de Sterke
Vol. 15, Iss. 13 — Jun. 25, 2007
pp: 8383–8390

An iterative phase retrieval algorithm for in-line x-ray phase imaging

Fanbo Meng, Hong Liu, and Xizeng Wu »View Author Affiliations

Optics Express, Vol. 15, Issue 13, pp. 8383-8390 (2007)
http://dx.doi.org/10.1364/OE.15.008383

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Abstract
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References (15)
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Abstract

A general theoretical formulism for in-line phase x-ray imaging was presented with a corresponding linear formula in previous works. In this report, an iterative approach is introduced for phase retrieval with a nonlinear formula. The results of simulation showed that the iterative approach can retrieve the phase map more effectively with high efficiency and flexibility.

OCIS Codes
(100.5070) Image processing : Phase retrieval
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

History
Original Manuscript: December 22, 2006
Revised Manuscript: April 2, 2007
Manuscript Accepted: May 21, 2007
Published: June 20, 2007

Citation
Fanbo Meng, Hong Liu, and Xizeng Wu, "An iterative phase retrieval algorithm for in-line x-ray phase imaging," Opt. Express 15, 8383-8390 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-13-8383

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References

A. Snigirev and I. Snigireva, "On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation," Rev. Sci. Instrum. 66, 5486-5492 (1995). [CrossRef]
S.W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A.W. Stevenson, "Phase-contrast imaging using polychromatic hard X-rays," Nature 384, 335-338 (1996). [CrossRef]
A. Pogany, D. Gao, and S.W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997). [CrossRef]
F. Arfelli, V. Bonvicini, A. Bravin, G. Cantatore, E. Castelli, L. Dalla Palma, M. Di Michiel, M. Fabrizioli, R. Longo, R. H. Menk, A. Olivo, S. Pani, D. Pontoni, P. Poropat, M. Prest, A. Rashevsky, M. Ratti, L. Rigon, G. Tromba, A. Vacchi, E. Vallazza, and F. Zanconati, "Mammography with synchrotron radiation: Phasedetection techniques," Radiology 215, 286-293 (2000).
X. Wu and H. Liu, "A general theoretical formalism for X-ray phase contrast imaging," J. X-ray Sci.Tech. 11, 33-42 (2003).
X. Wu and H. Liu, "Clinical implementation of x-ray phase-contrast imaging: Theoretical foundations and design considerations," Med. Phys. 30, 2169-2179 (2003). [CrossRef] [PubMed]
X. Wu and H. Liu, "A dual detector approach for X-ray attenuation and phase imaging," J. X-ray Sci.Tech. 12, 35-42 (2004).
X. Wu and H. Liu, "Phase-space formulation for phase-contrast x-ray imaging," Appl. Opt. 44, 5847-5854 (2005). [CrossRef] [PubMed]
X. Wu, H. Liu, and A. M. Yan, "X-ray phase-attenuation duality and phase retrieval," Opt. Lett. 30, 379-381 (2005). [CrossRef] [PubMed]
Y. I. Nesterets, S. W. Wilkins, T. E. Gureyev, A. Pogany, and A. W. Stevenson, "On the optimization of experimental parameters for x-ray in-line phase-contrast imaging," Rev. Sci. Instrum. 76, 093,706 (2005). [CrossRef]
B. D. Arhatari, K. A. Nugent, A. G. Peele, and J. Thornton, "Phase contrast radiography. II. Imaging of complex objects," Rev. Sci. Instrum. 76, 113,704 (2005). [CrossRef]
T. E. Gureyev, Y. L. Nesterets, D. M. Paganin, A. Pogany, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region. 2. Partially coherent illumination," Opt. Commun. 259, 569-580 (2006). [CrossRef]
T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, "Quantitative in-line phase-contrast imaging with multienergy X rays." Phys. Rev. Lett. 86, 5827-5830 (2001). [CrossRef] [PubMed]
X. Wu and H. Liu, "A new theory of phase-contrast x-ray imaging based on Wigner distributions." Med. Phys. 31, 2378-2384 (2004). [CrossRef] [PubMed]
R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik(Stuttgart) 35, 237-246 (1972).

Appl. Opt.

X. Wu and H. Liu, "Phase-space formulation for phase-contrast x-ray imaging," Appl. Opt. 44, 5847-5854 (2005). [CrossRef] [PubMed]

Med. Phys.

X. Wu and H. Liu, "Clinical implementation of x-ray phase-contrast imaging: Theoretical foundations and design considerations," Med. Phys. 30, 2169-2179 (2003). [CrossRef] [PubMed]
X. Wu and H. Liu, "A new theory of phase-contrast x-ray imaging based on Wigner distributions." Med. Phys. 31, 2378-2384 (2004). [CrossRef] [PubMed]

Nature

S.W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A.W. Stevenson, "Phase-contrast imaging using polychromatic hard X-rays," Nature 384, 335-338 (1996). [CrossRef]

Opt. Commun.

T. E. Gureyev, Y. L. Nesterets, D. M. Paganin, A. Pogany, and S. W. Wilkins, "Linear algorithms for phase retrieval in the Fresnel region. 2. Partially coherent illumination," Opt. Commun. 259, 569-580 (2006). [CrossRef]

Opt. Lett.

X. Wu, H. Liu, and A. M. Yan, "X-ray phase-attenuation duality and phase retrieval," Opt. Lett. 30, 379-381 (2005). [CrossRef] [PubMed]

Optik(Stuttgart)

R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik(Stuttgart) 35, 237-246 (1972).

Phys. Rev. Lett.

T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, "Quantitative in-line phase-contrast imaging with multienergy X rays." Phys. Rev. Lett. 86, 5827-5830 (2001). [CrossRef] [PubMed]

Radiology

F. Arfelli, V. Bonvicini, A. Bravin, G. Cantatore, E. Castelli, L. Dalla Palma, M. Di Michiel, M. Fabrizioli, R. Longo, R. H. Menk, A. Olivo, S. Pani, D. Pontoni, P. Poropat, M. Prest, A. Rashevsky, M. Ratti, L. Rigon, G. Tromba, A. Vacchi, E. Vallazza, and F. Zanconati, "Mammography with synchrotron radiation: Phasedetection techniques," Radiology 215, 286-293 (2000).

Rev. Sci. Instrum.

A. Pogany, D. Gao, and S.W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997). [CrossRef]
Y. I. Nesterets, S. W. Wilkins, T. E. Gureyev, A. Pogany, and A. W. Stevenson, "On the optimization of experimental parameters for x-ray in-line phase-contrast imaging," Rev. Sci. Instrum. 76, 093,706 (2005). [CrossRef]
B. D. Arhatari, K. A. Nugent, A. G. Peele, and J. Thornton, "Phase contrast radiography. II. Imaging of complex objects," Rev. Sci. Instrum. 76, 113,704 (2005). [CrossRef]
A. Snigirev and I. Snigireva, "On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation," Rev. Sci. Instrum. 66, 5486-5492 (1995). [CrossRef]

Tech.

X. Wu and H. Liu, "A dual detector approach for X-ray attenuation and phase imaging," J. X-ray Sci.Tech. 12, 35-42 (2004).
X. Wu and H. Liu, "A general theoretical formalism for X-ray phase contrast imaging," J. X-ray Sci.Tech. 11, 33-42 (2003).

2006, , Opt. Commun.
2005, , Opt. Lett.
2005, , Appl. Opt.
2005, , Rev. Sci. Instrum.
2005, , Rev. Sci. Instrum.
2004, , Tech.
2004, , Med. Phys.
2003, , Tech.
2003, , Med. Phys.
2001, , Phys. Rev. Lett.
2000, , Radiology
1997, , Rev. Sci. Instrum.
1996, , Nature
1995, , Rev. Sci. Instrum.
1972, , Optik(Stuttgart)

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