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2D and 3D X-ray phase retrieval of multi-material objects using a single defocus distance
M.A. Beltran, D.M. Paganin, K. Uesugi, and M.J. Kitchen »View Author Affiliations
M.A. Beltran,1,*
D.M. Paganin,1
K. Uesugi,2
and M.J. Kitchen1
1School of Physics, Monash University, VIC 3800, Australia
2SPring-8/JASRI, Sayo, Hyogo 679-5198, Japan
*Corresponding author: Mario.Beltran@sci.monash.edu.au
Optics Express, Vol. 18, Issue 7, pp. 6423-6436 (2010)
http://dx.doi.org/10.1364/OE.18.006423
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Abstract
A method of tomographic phase retrieval is developed for multi-material objects whose components each have a distinct complex refractive index. The phase-retrieval algorithm, based on the Transport-of-Intensity equation, utilizes propagation-based X-ray phase contrast images acquired at a single defocus distance for each tomographic projection. The method requires a priori knowledge of the complex refractive index for each material present in the sample, together with the total projected thickness of the object at each orientation. The requirement of only a single defocus distance per projection simplifies the experimental setup and imposes no additional dose compared to conventional tomography. The algorithm was implemented using phase contrast data acquired at the SPring-8 Synchrotron facility in Japan. The three-dimensional (3D) complex refractive index distribution of a multi-material test object was quantitatively reconstructed using a single X-ray phase-contrast image per projection. The technique is robust in the presence of noise, compared to conventional absorption based tomography.
© 2010 OSA
OCIS Codes
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(340.7440) X-ray optics : X-ray imaging
(090.1995) Holography : Digital holography
ToC Category:
Image Processing
History
Original Manuscript: November 30, 2009
Revised Manuscript: January 14, 2010
Manuscript Accepted: February 5, 2010
Published: March 15, 2010
Virtual Issues
Vol. 5, Iss. 7 Virtual Journal for Biomedical Optics
Citation
M.A. Beltran, D.M. Paganin, K. Uesugi, and M.J. Kitchen, "2D and 3D X-ray phase retrieval of
multi-material objects using a
single defocus distance," Opt. Express 18, 6423-6436 (2010)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-18-7-6423
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- A. Abrami, F. Arfelli, R. C. Barroso, A. Bergamaschi, F. Bille, P. Bregant, F. Brizzi, K. Casarin, E. Castelli, V. Chenda, L. Dalla Palma, D. Dreossi, C. Fava, R. Longo, L. Mancini, R.-H. Menk, F. Montanari, A. Olivo, S. Pani, A. Pillon, E. Quai, S. R. Kaiser, L. Rigon, T. Rokvic, M. Tonutti, G. Tromba, A. Vascotto, C. Venanzi, F. Zanconati, A. Zanetti, and F. Zanini, “Medical applications of synchrotron radiation at the SYRMEP beamline of ELETTRA,” Nucl. Instrum. Meth. A 548(1-2), 221–227 (2005). [CrossRef]
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J. Phys. D Appl. Phys.
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Krist. Tech.
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Nature
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Nucl. Instrum. Meth. A
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Opt. Commun.
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Opt. Express
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Phys. Rev. A
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- A. Abrami, F. Arfelli, R. C. Barroso, A. Bergamaschi, F. Bille, P. Bregant, F. Brizzi, K. Casarin, E. Castelli, V. Chenda, L. Dalla Palma, D. Dreossi, C. Fava, R. Longo, L. Mancini, R.-H. Menk, F. Montanari, A. Olivo, S. Pani, A. Pillon, E. Quai, S. R. Kaiser, L. Rigon, T. Rokvic, M. Tonutti, G. Tromba, A. Vascotto, C. Venanzi, F. Zanconati, A. Zanetti, and F. Zanini, “Medical applications of synchrotron radiation at the SYRMEP beamline of ELETTRA,” Nucl. Instrum. Meth. A 548(1-2), 221–227 (2005). [CrossRef]
- S. Monfraix, S. Bayat, L. Porra, G. Berruyer, C. Nemoz, W. Thomlinson, P. Suortti, and A. R. A. Sovijärvi, “Quantitative measurement of regional lung gas volume by synchrotron radiation computed tomography,” Phys. Med. Biol. 50(1), 1–11 (2005). [CrossRef] [PubMed]
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- C. T. Chantler, C. Q. Tran, Z. Barnea, D. Paterson, D. J. Cookson, and D. X. Balaic, “Measurement of the x-ray mass attenuation coefficient of copper using 8.85-20 keV synchrotron radiation,” Phys. Rev. A 64(6), 062506 (2001). [CrossRef]
- S. Goto, K. Takeshita, Y. Suzuki, H. Ohashi, Y. Asano, H. Kimura, T. Matsushita, N. Yagi, M. Isshiki, H. Yamazaki, Y. Yoneda, K. Umetani, and T. Ishikawa, “Construction and commissioning of a 215m-long beamline at SPring-8,” Nucl. Instrum. Meth. A. 467-468, 682–685 (2001). [CrossRef]
- S. Bayat, G. Le Duc, L. Porra, G. Berruyer, C. Nemoz, S. Monfraix, S. Fiedler, W. Thomlinson, P. Suortti, C. G. Standertskjöld-Nordenstam, and A. R. A. Sovijärvi, “Quantitative functional lung imaging with synchrotron radiation using inhaled xenon as contrast agent,” Phys. Med. Biol. 46(12), 3287–3299 (2001). [CrossRef]
- P. Cloetens, W. Ludwig, J. Baruchel, J.-P. Guigay, P. Pernot-Rejmánková, M. Salomé-Pateyron, M. Schlenker, J.-Y. Buffière, E. Malre, and G. Peix, “Hard X-ray phase imaging using simple propagation of a coherent synchrotron radiation beam,” J. Phys. D Appl. Phys. 32(10A), 145–151 (1999). [CrossRef]
- A. V. Bronnikov, “Reconstruction formulas in phase-contrast tomography,” Opt. Commun. 171(4-6), 239–244 (1999). [CrossRef]
- P. Cloetens, W. Ludwig, J. Baruchel, D. van Dyck, J. van Landuyt, J. P. Guigay, and M. Schlenker, “Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation X-rays,” Appl. Phys. Lett. 75(19), 2912–2914 (1999). [CrossRef]
- D. Paganin and K. A. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80(12), 2586–2589 (1998). [CrossRef]
- T. E. Gureyev and K. A. Nugent, “Rapid quantitative phase imaging using the transport of intensity equation,” Opt. Commun. 133(1-6), 339–346 (1997). [CrossRef]
- A. Pogany, D. Gao, and S. W. Wilkins, “Contrast and resolution in imaging with a microfocus x-ray source,” Rev. Sci. Instrum. 68(7), 2774–2782 (1997). [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(6607), 335–338 (1996). [CrossRef]
- 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(1), 133–146 (1996). [CrossRef]
- A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66(12), 5486–5492 (1995). [CrossRef]
- E. Förster, K. Goetz, and P. Zaumseil, “Double crystal diffractometry for the characterization of targets for laser fusion experiments,” Krist. Tech. 15(8), 937–945 (1980). [CrossRef]
- U. Bonse and M. Hart, “An x-ray interferometer,” Appl. Phys. Lett. 6(8), 155–156 (1965). [CrossRef]
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