X-ray phase, absorption and scatter retrieval using two or more phase contrast images

doi:10.1364/OE.18.019994

X-ray phase, absorption and scatter retrieval using two or more phase contrast images

Marcus J. Kitchen, David M. Paganin, Kentaro Uesugi, Beth J. Allison, Robert A. Lewis, Stuart B. Hooper, and Konstantin M. Pavlov »View Author Affiliations

Optics Express, Vol. 18, Issue 19, pp. 19994-20012 (2010)
http://dx.doi.org/10.1364/OE.18.019994

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Abstract

We have developed two phase-retrieval techniques for analyser-based phase contrast imaging that provide information about an object’s X-ray absorption, refraction and scattering properties. The first requires rocking curves to be measured with and without the sample and improves upon existing techniques by accurately fitting the curves with Pearson type VII functions. The second employs an iterative approach using two simultaneously recorded images by exploiting the Laue crystal geometry. This technique provides a substantial reduction in X-ray dose and enables quantitative phase retrieval to be performed on images of moving objects.

OCIS Codes
(100.5070) Image processing : Phase retrieval
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

History
Original Manuscript: July 8, 2010
Revised Manuscript: August 16, 2010
Manuscript Accepted: August 16, 2010
Published: September 3, 2010

Virtual Issues
Vol. 5, Iss. 13 Virtual Journal for Biomedical Optics

Citation
Marcus J. Kitchen, David M. Paganin, Kentaro Uesugi, Beth J. Allison, Robert A. Lewis, Stuart B. Hooper, and Konstantin M. Pavlov, "X-ray phase, absorption and scatter retrieval using two or more phase contrast images," Opt. Express 18, 19994-20012 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-19-19994

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References

K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59(1), 1–99 (2010). [CrossRef]
S.-A. Zhou and A. Brahme, “Development of phase-contrast X-ray imaging techniques and potential medical applications,” Phys. Medica 24(3), 129–148 (2008). [CrossRef]
D. M. Paganin, Coherent X-ray optics (Oxford University Press, Oxford, UK, 2006).
V. A. Bushuev and M. A. Guskova, “Image reconstruction in X-ray phase contrast method with crystal analyser in Laue geometry,” Bull. Russ. Acad. Sci. Phys. 69, 253–259 (2005).
M. J. Kitchen, K. M. Pavlov, K. K. W. Siu, R. H. Menk, G. Tromba, and R. A. Lewis, “Analyser-based phase contrast image reconstruction using geometrical optics,” Phys. Med. Biol. 52(14), 4171–4187 (2007). [CrossRef] [PubMed]
E. Pagot, P. Cloetens, S. Fiedler, A. Bravin, P. Coan, J. Baruchel, J. Härtwig, and W. Thomlinson, “A method to extract quantitative information in analyzer-based X-ray phase contrast imaging,” Appl. Phys. Lett. 82(20), 3421–3423 (2003). [CrossRef]
H. Suhonen, M. Fernández, A. Bravin, J. Keyriläinen, and P. Suortti, “Refraction and scattering of X-rays in analyzer-based imaging,” J. Synchrotron Radiat. 14(6), 512–521 (2007). [CrossRef] [PubMed]
Y. I. Nesterets, “On the origins of decoherence and extinction contrast in phase-contrast imaging,” Opt. Commun. 281(4), 533–542 (2008). [CrossRef]
C. M. Slack, “The refraction of X-rays in prisms of various materials,” Phys. Rev. 27(6), 691–695 (1926). [CrossRef]
O. Oltulu, Z. Zhong, M. Hasnah, M. N. Wernick, and D. Chapman, “Extraction of extinction, refraction and absorption properties in diffraction enhanced imaging,” J. Phys. D: Appl. Phys. 36(17), 2152–2156 (2003). [CrossRef]
M. N. Wernick, O. Wirjadi, D. Chapman, Z. Zhong, N. P. Galatsanos, Y. Yang, J. G. Brankov, O. Oltulu, M. A. Anastasio, and C. Muehleman, “Multiple-image radiography,” Phys. Med. Biol. 48(23), 3875–3895 (2003). [CrossRef]
Y. I. Nesterets, P. Coan, T. E. Gureyev, A. Bravin, P. Cloetens, and S. W. Wilkins, “On qualitative and quantitative analysis in analyser-based imaging,” Acta Crystallogr. A 62(4), 296–308 (2006). [CrossRef] [PubMed]
L. Rigon, F. Arfelli, and R. H. Menk, “Generalized diffraction enhanced imaging to retrieve absorption, refraction and scattering effects,” J. Phys. D: Appl. Phys. 40(10), 3077–3089 (2007). [CrossRef]
C.-Y. Chou, M. A. Anastasio, J. G. Brankov, M. N. Wernick, E. M. Brey, D. M. Connor, and Z. Zhong, “An extended diffraction-enhanced imaging method for implementing multiple-image radiography,” Phys. Med. Biol. 52(7), 1923–1945 (2007). [CrossRef] [PubMed]
Y. I. Nesterets, T. E. Gureyev, D. Paganin, K. M. Pavlov, and S. W. Wilkins, “Quantitative diffraction-enhanced X-ray imaging of weak objects,” J. Phys. D: Appl. Phys. 37(8), 1262–1274 (2004). [CrossRef]
D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234(1-6), 87–105 (2004). [CrossRef]
D. J. Vine, D. M. Paganin, K. M. Pavlov, K. Uesugi, A. Takeuchi, Y. Suzuki, N. Yagi, T. Kämpfe, E.-B. Kley, and E. Förster, “Deterministic retrieval of complex Green’s functions using hard X rays,” Phys. Rev. Lett. 102(4), 043901 (2009). [CrossRef] [PubMed]
K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Morgan, and R. A. Lewis, “Linear systems with slowly varying transfer functions and their application to X-ray phase-contrast imaging,” J. Phys. D: Appl. Phys. 37(19), 2746–2750 (2004). [CrossRef]
D. Chapman, W. Thomlinson, R. E. Johnston, D. Washburn, E. Pisano, N. Gmür, Z. Zhong, R. H. Menk, F. Arfelli, and D. Sayers, “Diffraction enhanced x-ray imaging,” Phys. Med. Biol. 42(11), 2015–2025 (1997). [CrossRef] [PubMed]
Z. Huang, K. Kejun, and Y. Yigang, “Extraction methods of phase information for X-ray diffraction enhanced imaging,” Nucl. Instrum. Meth. A 579(1), 218–222 (2007). [CrossRef]
C. Hu, L. Zhang, H. Li, and S. Lo, “Comparison of refraction information extraction methods in diffraction enhanced imaging,” Opt. Express 16(21), 16704–16710 (2008). [CrossRef] [PubMed]
P. C. Diemoz, P. Coan, C. Glaser, and A. Bravin, “Absorption, refraction and scattering in analyzer-based imaging: comparison of different algorithms,” Opt. Express 18(4), 3494–3509 (2010). [CrossRef] [PubMed]
A. Maksimenko, “Nonlinear extension of the X-ray diffraction enhanced imaging,” Appl. Phys. Lett. 90(15), 154106 (2007). [CrossRef]
Z.-Q. Chen, F. Ding, Z.-F. Huang, L. Zhang, H.-X. Yin, Z.-C. Wang, and P.-P. Zhu, “Polynomial curve fitting method for refraction-angle extraction in diffraction enhanced imaging,” Chinese Phys. C 33(11), 969–974 (2009). [CrossRef]
K. M. Pavlov, C. M. Kewish, J. R. Davis, and M. J. Morgan, “A variant on the geometrical optics approximation in diffraction enhanced tomography,” J. Phys. D: Appl. Phys. 34(10A), A168–A172 (2001). [CrossRef]
M. M. Hall, V. G. Veeraraghavan, H. Rubin, and P. G. Winchell, “The approximation of symmetric X-ray peaks by Pearson type VII distributions,” J. Appl. Cryst. 10(1), 66–68 (1977). [CrossRef]
M. Fernández, H. Suhonen, J. Keyriläinen, A. Bravin, S. Fiedler, M.-L. Karjalainen-Lindsberg, M. Leidenius, K. von Smitten, and P. Suortti, “USAXS and SAXS from cancer-bearing breast tissue samples,” Eur. J. Radiol. 68(3Suppl), S89–S94 (2008). [CrossRef] [PubMed]
V. N. Ingal and E. A. Beliaevskaya, “X-ray plane-wave topography observation of the phase contrast from a non-crystalline object,” J. Phys. D: Appl. Phys. 28(11), 2314–2317 (1995). [CrossRef]
D. Chapman, W. Thomlinson, F. Arfelli, N. Gmür, Z. Zhong, R. H. Menk, R. E. Johnson, D. Washburn, E. Pisano, and D. Sayers, “Mammography imaging studies using a Laue crystal analyzer,” Rev. Sci. Instrum. 67(9), 1–5 (1996). [CrossRef]
M. J. Kitchen, K. M. Pavlov, S. B. Hooper, D. J. Vine, K. K. W. Siu, M. J. Wallace, M. L. L. Siew, N. Yagi, K. Uesugi, and R. A. Lewis, “Simultaneous acquisition of dual analyser-based phase contrast X-ray images for small animal imaging,” Eur. J. Radiol. 68(3Suppl), S49–S53 (2008). [CrossRef] [PubMed]
A. Authier, Dynamical theory of X-ray diffraction, rev. ed. (Oxford University Press, Oxford, UK, 2005).
S. Nadarajah and D. K. Dey, “Convolutions of the Pearson type VII distribution,” Comput. Math. Appl. 50(3-4), 339–346 (2005). [CrossRef]
R. A. Lewis, N. Yagi, M. J. Kitchen, M. J. Morgan, D. Paganin, K. K. W. Siu, K. Pavlov, I. Williams, K. Uesugi, M. J. Wallace, C. J. Hall, J. Whitley, and S. B. Hooper, “Dynamic imaging of the lungs using x-ray phase contrast,” Phys. Med. Biol. 50(21), 5031–5040 (2005). [CrossRef] [PubMed]
M. J. Kitchen, A. Habib, A. Fouras, S. Dubsky, R. A. Lewis, M. J. Wallace, and S. B. Hooper, “A new design for high stability pressure-controlled ventilation for small animal lung imaging,” J. Instrum. 5(02), T02002 (2010). [CrossRef]
J. B. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Am. 52(2), 116–130 (1962). [CrossRef] [PubMed]
J. M. Boone, “Parametrized x-ray absorption in diagnostic radiology from Monte Carlo calculations: implications for x-ray detector design,” Med. Phys. 19(6), 1467–1473 (1992). [CrossRef] [PubMed]

Anastasio, M. A.
Arfelli, F.
Baruchel, J.
Beliaevskaya, E. A.
Boone, J. M.
Brahme, A.
Brankov, J. G.
Bravin, A.
Brey, E. M.
Bushuev, V. A.
Chapman, D.
Chen, Z.-Q.
Chou, C.-Y.
Cloetens, P.
Coan, P.
Connor, D. M.
Davis, J. R.
Dey, D. K.
Diemoz, P. C.
Ding, F.
Dubsky, S.
Fernández, M.
Fiedler, S.
Förster, E.
Fouras, A.
Galatsanos, N. P.
Glaser, C.
Gmür, N.
Gureyev, T. E.
Guskova, M. A.
Habib, A.
Hall, C. J.
Hall, M. M.
Härtwig, J.
Hasnah, M.
Hooper, S. B.
Hu, C.
Huang, Z.
Huang, Z.-F.
Ingal, V. N.
Johnson, R. E.
Johnston, R. E.
Kämpfe, T.
Karjalainen-Lindsberg, M.-L.
Kejun, K.
Keller, J. B.
Kewish, C. M.
Keyriläinen, J.
Kitchen, M.
Kitchen, M. J.
Kley, E.-B.
Leidenius, M.
Lewis, R. A.
Li, H.
Lo, S.
Maksimenko, A.
Menk, R. H.
Morgan, M. J.
Muehleman, C.
Nadarajah, S.
Nesterets, Y. I.
Nugent, K. A.
Oltulu, O.
Paganin, D.
Paganin, D. M.
Pagot, E.
Pavlov, K.
Pavlov, K. M.
Pisano, E.
Rigon, L.
Rubin, H.
Sayers, D.
Siew, M. L. L.
Siu, K. K. W.
Slack, C. M.
Suhonen, H.
Suortti, P.
Suzuki, Y.
Takeuchi, A.
Thomlinson, W.
Tromba, G.
Uesugi, K.
Veeraraghavan, V. G.
Vine, D. J.
von Smitten, K.
Wallace, M. J.
Wang, Z.-C.
Washburn, D.
Wernick, M. N.
Whitley, J.
Wilkins, S. W.
Williams, I.
Winchell, P. G.
Wirjadi, O.
Yagi, N.
Yang, Y.
Yigang, Y.
Yin, H.-X.
Zhang, L.
Zhong, Z.
Zhou, S.-A.
Zhu, P.-P.

Acta Crystallogr. A

Y. I. Nesterets, P. Coan, T. E. Gureyev, A. Bravin, P. Cloetens, and S. W. Wilkins, “On qualitative and quantitative analysis in analyser-based imaging,” Acta Crystallogr. A 62(4), 296–308 (2006). [CrossRef] [PubMed]

Adv. Phys.

K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59(1), 1–99 (2010). [CrossRef]

Appl. Phys. Lett.

E. Pagot, P. Cloetens, S. Fiedler, A. Bravin, P. Coan, J. Baruchel, J. Härtwig, and W. Thomlinson, “A method to extract quantitative information in analyzer-based X-ray phase contrast imaging,” Appl. Phys. Lett. 82(20), 3421–3423 (2003). [CrossRef]
A. Maksimenko, “Nonlinear extension of the X-ray diffraction enhanced imaging,” Appl. Phys. Lett. 90(15), 154106 (2007). [CrossRef]

Bull. Russ. Acad. Sci. Phys.

V. A. Bushuev and M. A. Guskova, “Image reconstruction in X-ray phase contrast method with crystal analyser in Laue geometry,” Bull. Russ. Acad. Sci. Phys. 69, 253–259 (2005).

Chinese Phys. C

Z.-Q. Chen, F. Ding, Z.-F. Huang, L. Zhang, H.-X. Yin, Z.-C. Wang, and P.-P. Zhu, “Polynomial curve fitting method for refraction-angle extraction in diffraction enhanced imaging,” Chinese Phys. C 33(11), 969–974 (2009). [CrossRef]

Comput. Math. Appl.

S. Nadarajah and D. K. Dey, “Convolutions of the Pearson type VII distribution,” Comput. Math. Appl. 50(3-4), 339–346 (2005). [CrossRef]

Eur. J. Radiol.

M. Fernández, H. Suhonen, J. Keyriläinen, A. Bravin, S. Fiedler, M.-L. Karjalainen-Lindsberg, M. Leidenius, K. von Smitten, and P. Suortti, “USAXS and SAXS from cancer-bearing breast tissue samples,” Eur. J. Radiol. 68(3Suppl), S89–S94 (2008). [CrossRef] [PubMed]
M. J. Kitchen, K. M. Pavlov, S. B. Hooper, D. J. Vine, K. K. W. Siu, M. J. Wallace, M. L. L. Siew, N. Yagi, K. Uesugi, and R. A. Lewis, “Simultaneous acquisition of dual analyser-based phase contrast X-ray images for small animal imaging,” Eur. J. Radiol. 68(3Suppl), S49–S53 (2008). [CrossRef] [PubMed]

J. Appl. Cryst.

M. M. Hall, V. G. Veeraraghavan, H. Rubin, and P. G. Winchell, “The approximation of symmetric X-ray peaks by Pearson type VII distributions,” J. Appl. Cryst. 10(1), 66–68 (1977). [CrossRef]

J. Instrum.

M. J. Kitchen, A. Habib, A. Fouras, S. Dubsky, R. A. Lewis, M. J. Wallace, and S. B. Hooper, “A new design for high stability pressure-controlled ventilation for small animal lung imaging,” J. Instrum. 5(02), T02002 (2010). [CrossRef]

J. Opt. Soc. Am.

J. B. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Am. 52(2), 116–130 (1962). [CrossRef] [PubMed]

J. Phys. D: Appl. Phys.

V. N. Ingal and E. A. Beliaevskaya, “X-ray plane-wave topography observation of the phase contrast from a non-crystalline object,” J. Phys. D: Appl. Phys. 28(11), 2314–2317 (1995). [CrossRef]
K. M. Pavlov, C. M. Kewish, J. R. Davis, and M. J. Morgan, “A variant on the geometrical optics approximation in diffraction enhanced tomography,” J. Phys. D: Appl. Phys. 34(10A), A168–A172 (2001). [CrossRef]
L. Rigon, F. Arfelli, and R. H. Menk, “Generalized diffraction enhanced imaging to retrieve absorption, refraction and scattering effects,” J. Phys. D: Appl. Phys. 40(10), 3077–3089 (2007). [CrossRef]
O. Oltulu, Z. Zhong, M. Hasnah, M. N. Wernick, and D. Chapman, “Extraction of extinction, refraction and absorption properties in diffraction enhanced imaging,” J. Phys. D: Appl. Phys. 36(17), 2152–2156 (2003). [CrossRef]
Y. I. Nesterets, T. E. Gureyev, D. Paganin, K. M. Pavlov, and S. W. Wilkins, “Quantitative diffraction-enhanced X-ray imaging of weak objects,” J. Phys. D: Appl. Phys. 37(8), 1262–1274 (2004). [CrossRef]
K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Morgan, and R. A. Lewis, “Linear systems with slowly varying transfer functions and their application to X-ray phase-contrast imaging,” J. Phys. D: Appl. Phys. 37(19), 2746–2750 (2004). [CrossRef]

J. Synchrotron Radiat.

H. Suhonen, M. Fernández, A. Bravin, J. Keyriläinen, and P. Suortti, “Refraction and scattering of X-rays in analyzer-based imaging,” J. Synchrotron Radiat. 14(6), 512–521 (2007). [CrossRef] [PubMed]

Med. Phys.

J. M. Boone, “Parametrized x-ray absorption in diagnostic radiology from Monte Carlo calculations: implications for x-ray detector design,” Med. Phys. 19(6), 1467–1473 (1992). [CrossRef] [PubMed]

Nucl. Instrum. Meth. A

Z. Huang, K. Kejun, and Y. Yigang, “Extraction methods of phase information for X-ray diffraction enhanced imaging,” Nucl. Instrum. Meth. A 579(1), 218–222 (2007). [CrossRef]

Opt. Commun.

Y. I. Nesterets, “On the origins of decoherence and extinction contrast in phase-contrast imaging,” Opt. Commun. 281(4), 533–542 (2008). [CrossRef]
D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234(1-6), 87–105 (2004). [CrossRef]

Opt. Express

Phys. Med. Biol.

R. A. Lewis, N. Yagi, M. J. Kitchen, M. J. Morgan, D. Paganin, K. K. W. Siu, K. Pavlov, I. Williams, K. Uesugi, M. J. Wallace, C. J. Hall, J. Whitley, and S. B. Hooper, “Dynamic imaging of the lungs using x-ray phase contrast,” Phys. Med. Biol. 50(21), 5031–5040 (2005). [CrossRef] [PubMed]
D. Chapman, W. Thomlinson, R. E. Johnston, D. Washburn, E. Pisano, N. Gmür, Z. Zhong, R. H. Menk, F. Arfelli, and D. Sayers, “Diffraction enhanced x-ray imaging,” Phys. Med. Biol. 42(11), 2015–2025 (1997). [CrossRef] [PubMed]
M. N. Wernick, O. Wirjadi, D. Chapman, Z. Zhong, N. P. Galatsanos, Y. Yang, J. G. Brankov, O. Oltulu, M. A. Anastasio, and C. Muehleman, “Multiple-image radiography,” Phys. Med. Biol. 48(23), 3875–3895 (2003). [CrossRef]
C.-Y. Chou, M. A. Anastasio, J. G. Brankov, M. N. Wernick, E. M. Brey, D. M. Connor, and Z. Zhong, “An extended diffraction-enhanced imaging method for implementing multiple-image radiography,” Phys. Med. Biol. 52(7), 1923–1945 (2007). [CrossRef] [PubMed]
M. J. Kitchen, K. M. Pavlov, K. K. W. Siu, R. H. Menk, G. Tromba, and R. A. Lewis, “Analyser-based phase contrast image reconstruction using geometrical optics,” Phys. Med. Biol. 52(14), 4171–4187 (2007). [CrossRef] [PubMed]

Phys. Medica

S.-A. Zhou and A. Brahme, “Development of phase-contrast X-ray imaging techniques and potential medical applications,” Phys. Medica 24(3), 129–148 (2008). [CrossRef]

Phys. Rev.

C. M. Slack, “The refraction of X-rays in prisms of various materials,” Phys. Rev. 27(6), 691–695 (1926). [CrossRef]

Phys. Rev. Lett.

D. J. Vine, D. M. Paganin, K. M. Pavlov, K. Uesugi, A. Takeuchi, Y. Suzuki, N. Yagi, T. Kämpfe, E.-B. Kley, and E. Förster, “Deterministic retrieval of complex Green’s functions using hard X rays,” Phys. Rev. Lett. 102(4), 043901 (2009). [CrossRef] [PubMed]

Rev. Sci. Instrum.

D. Chapman, W. Thomlinson, F. Arfelli, N. Gmür, Z. Zhong, R. H. Menk, R. E. Johnson, D. Washburn, E. Pisano, and D. Sayers, “Mammography imaging studies using a Laue crystal analyzer,” Rev. Sci. Instrum. 67(9), 1–5 (1996). [CrossRef]

Other

A. Authier, Dynamical theory of X-ray diffraction, rev. ed. (Oxford University Press, Oxford, UK, 2005).
D. M. Paganin, Coherent X-ray optics (Oxford University Press, Oxford, UK, 2006).

2010, Nugent, Adv. Phys.
2010, Diemoz, Opt. Express
2010, Kitchen, J. Instrum.
2009, Chen, Chinese Phys. C
2009, Vine, Phys. Rev. Lett.
2008, Zhou, Phys. Medica
2008, Nesterets, Opt. Commun.
2008, Fernández, Eur. J. Radiol.
2008, Hu, Opt. Express
2008, Kitchen, Eur. J. Radiol.
2007, Huang, Nucl. Instrum. Meth. A
2007, Maksimenko, Appl. Phys. Lett.
2007, Kitchen, Phys. Med. Biol.
2007, Suhonen, J. Synchrotron Radiat.
2007, Rigon, J. Phys. D: Appl. Phys.
2007, Chou, Phys. Med. Biol.
2006, Nesterets, Acta Crystallogr. A
2005, Bushuev, Bull. Russ. Acad. Sci. Phys.
2005, Nadarajah, Comput. Math. Appl.
2005, Lewis, Phys. Med. Biol.
2004, Pavlov, J. Phys. D: Appl. Phys.
2004, Nesterets, J. Phys. D: Appl. Phys.
2004, Paganin, Opt. Commun.
2003, Pagot, Appl. Phys. Lett.
2003, Oltulu, J. Phys. D: Appl. Phys.
2003, Wernick, Phys. Med. Biol.
2001, Pavlov, J. Phys. D: Appl. Phys.
1997, Chapman, Phys. Med. Biol.
1996, Chapman, Rev. Sci. Instrum.
1995, Ingal, J. Phys. D: Appl. Phys.
1992, Boone, Med. Phys.
1977, Hall, J. Appl. Cryst.
1962, Keller, J. Opt. Soc. Am.
1926, Slack, Phys. Rev.

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