Optics InfoBase > Virtual Journal for Biomedical Optics > Volume 7 > Issue 11 > Page 21512
|
A reconstruction method for cone-beam differential x-ray phase-contrast computed tomographyJian Fu, Astrid Velroyen, Renbo Tan, Junwei Zhang, Liyuan Chen, Arne Tapfer, Martin Bech, and Franz Pfeiffer »View Author Affiliations
Jian Fu,1,*
Astrid Velroyen,2
Renbo Tan,1
Junwei Zhang,1
Liyuan Chen,1
Arne Tapfer,2
Martin Bech,2,3,4
and Franz Pfeiffer2
1Beijing University of Aeronautics and Astronautics, 100191 Beiijng, China 2Technische Universität München, 85748 Garching, Germany 3Lund University, 221 85 Lund, Sweden 4martin.bech@tum.de *Corresponding author: fujian706@buaa.edu.cn |
Optics Express, Vol. 20, Issue 19, pp. 21512-21519 (2012)
http://dx.doi.org/10.1364/OE.20.021512
View Full Text Article
Enhanced HTML 
Acrobat PDF (3195 KB)
Abstract
Most existing differential phase-contrast computed tomography (DPC-CT) approaches are based on three kinds of scanning geometries, described by parallel-beam, fan-beam and cone-beam. Due to the potential of compact imaging systems with magnified spatial resolution, cone-beam DPC-CT has attracted significant interest. In this paper, we report a reconstruction method based on a back-projection filtration (BPF) algorithm for cone-beam DPC-CT. Due to the differential nature of phase contrast projections, the algorithm restrains from differentiation of the projection data prior to back-projection, unlike BPF algorithms commonly used for absorption-based CT data. This work comprises a numerical study of the algorithm and its experimental verification using a dataset measured with a three-grating interferometer and a micro-focus x-ray tube source. Moreover, the numerical simulation and experimental results demonstrate that the proposed method can deal with several classes of truncated cone-beam datasets. We believe that this feature is of particular interest for future medical cone-beam phase-contrast CT imaging applications.
© 2012 OSA
OCIS Codes
(110.7440) Imaging systems : X-ray imaging
(110.3175) Imaging systems : Interferometric imaging
(110.6955) Imaging systems : Tomographic imaging
ToC Category:
Imaging Systems
History
Original Manuscript: June 13, 2012
Manuscript Accepted: August 12, 2012
Published: September 5, 2012
Virtual Issues
Vol. 7, Iss. 11 Virtual Journal for Biomedical Optics
Citation
Jian Fu, Astrid Velroyen, Renbo Tan, Junwei Zhang, Liyuan Chen, Arne Tapfer, Martin Bech, and Franz Pfeiffer, "A reconstruction method for cone-beam differential x-ray phase-contrast computed tomography," Opt. Express 20, 21512-21519 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-20-19-21512
Sort: Author | Year | Journal | Reset
References
- R. Fitzgerald, “Phase-sensitive x-ray imaging,” Phys. Today7, 23–26 (2000). [CrossRef]
- A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys.44, 6355–6367 (2005). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (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, 2912–2914 (1999). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- S. C. Mayo, T. J. Davis, T. E. Gureyev, P. R. Miller, D. Paganin, A. Pogany, A. W. Stevenson, and S. W. Wilkins, “X-ray phase-contrast microscopy and microtomography,” Opt. Express11, 2289–2302 (2003). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- 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–L868 (2003). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am.72, 156–160 (1982). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
- G. H. Chen and Z. Qi, “Image reconstruction for fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.53, 1015–1025 (2008). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. C. Kak and M. Slaney, Principles of Computerized Tomography (IEEE Press, 1987).
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
Abela, R.
Baruchel, J.
Bech, M.
Beckmann, F.
Biermann, T.
Bonse, U.
Bravin, A.
Brönnimann, C.
Bruyndonckx, P.
Bunk, O.
Chapman, L. D.
Chen, G. H.
Clackdoyle, R.
Cloetens, P.
David, C.
Davis, T. J.
Diaz, A.
Dilmanian, F. A.
Donath, T.
Eikenberry, E. F.
Feidenhans’l, R.
Fernandez, M.
Fiedler, S.
Fitzgerald, R.
Fu, J.
Groso, A.
Grünzweig, C.
Guigay, J. P.
Gureyev, T. E.
Hahn, D.
Hamaishi, Y.
Hattori, T.
Heise, K.
Ina, H.
Irving, T. H. K.
Jensen, T. H.
Jerjen, I.
Kak, A. C.
Karjalainen-Lindsberg, M. L.
Kaufmann, R.
Kawamoto, S.
Kenntner, J.
Keyrilainen, J.
Kobayashi, S.
Kohn, V.
Kolsch, B.
Kottler, C.
Koyama, I.
Kraft, P.
Le Duc, G.
Leidenius, M.
Leng, S.
Li, P.
Lin, J. J. A.
Linga, S.
Liu, X.
Liu, X. S.
Liu, Y. J.
Ludwig, W.
Luethi, T.
Marone, F.
Mayo, S. C.
McDonald, S. A.
McMahon, P. J.
McNulty, I.
Miller, P. R.
Mohr, J.
Momose, A.
Müller, R.
Nemoz, C.
Nett, B. E.
Noo, F.
Nugent, K. A.
Orion, I.
Pack, J. D.
Paganin, D.
Pan, X.
Paterson, D.
Pauwels, B.
Peele, A. G.
Pfeiffer, F.
Pogany, A.
Qi, Z.
Rajewsky, M.
Raven, C.
Ren, B.
Revol, V.
Sasov, A.
Schlenker, M.
Schneider, P.
Schulz, J.
Sennhauser, U.
Sipila, P.
Slaney, M.
Smitten, K. V.
Snigirev, A.
Snigireva, I.
Souvorov, A.
Spanne, P.
Stampanoni, M.
Stevenson, A. W.
Suortti, P.
Suzuki, Y.
Takai, K.
Takeda, M.
Takeda, Y.
Tapfer, A.
Tenhunen, M.
Thomlinson, W. C.
Urban, C.
van Dyck, D.
van Landuyt, J.
Virkkunen, P.
Walter, M.
Wang, Q.
Wang, S.
Wang, Z. L.
Weitkamp, T.
Wilkins, S. W.
Wu, X. Y.
Wu, Z. Y.
Xia, D.
Yashiro, W.
Zhang, K.
Zhong, Z.
Zhu, P. P.
Zhuang, T. G.
Ziegler, E.
Zou, Y.
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [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, 2912–2914 (1999). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- G. H. Chen and Z. Qi, “Image reconstruction for fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.53, 1015–1025 (2008). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [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, 2912–2914 (1999). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- R. Fitzgerald, “Phase-sensitive x-ray imaging,” Phys. Today7, 23–26 (2000). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [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, 2912–2914 (1999). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- 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–L868 (2003). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- A. C. Kak and M. Slaney, Principles of Computerized Tomography (IEEE Press, 1987).
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- 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–L868 (2003). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- 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–L868 (2003). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [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, 2912–2914 (1999). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys.44, 6355–6367 (2005). [CrossRef]
- 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–L868 (2003). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- G. H. Chen and Z. Qi, “Image reconstruction for fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.53, 1015–1025 (2008). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [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, 2912–2914 (1999). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- A. C. Kak and M. Slaney, Principles of Computerized Tomography (IEEE Press, 1987).
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- 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–L868 (2003). [CrossRef]
- 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–L868 (2003). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [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, 2912–2914 (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, 2912–2914 (1999). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
AIP Conf. Proc.
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
Appl. Phys. Lett.
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [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, 2912–2914 (1999). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
Biophys. J.
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (1999). [CrossRef]
J. Opt. Soc. Am.
- M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am.72, 156–160 (1982). [CrossRef]
Jpn. J. Appl. Phys.
- A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys.44, 6355–6367 (2005). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- 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–L868 (2003). [CrossRef]
Med. Phys.
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
Nat. Phys.
- 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, 258–261 (2006). [CrossRef]
Nature Mater.
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
Opt. Commun.
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
Opt. Express
- T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005). [CrossRef]
- S. C. Mayo, T. J. Davis, T. E. Gureyev, P. R. Miller, D. Paganin, A. Pogany, A. W. Stevenson, and S. W. Wilkins, “X-ray phase-contrast microscopy and microtomography,” Opt. Express11, 2289–2302 (2003). [CrossRef]
Phys. Med. Biol.
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- G. H. Chen and Z. Qi, “Image reconstruction for fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.53, 1015–1025 (2008). [CrossRef]
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
Phys. Med.Biol.
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
Phys. Rev. Lett.
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
Phys. Rev.Lett.
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
Phys. Today
- R. Fitzgerald, “Phase-sensitive x-ray imaging,” Phys. Today7, 23–26 (2000). [CrossRef]
Proc. Natl Acad. Sci. USA
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
Other
- A. C. Kak and M. Slaney, Principles of Computerized Tomography (IEEE Press, 1987).
2011, Fu, Phys. Med. Biol.
- J. Fu, P. Li, Q. Wang, S. Wang, M. Bech, A. Tapfer, D. Hahn, and F. Pfeiffer, “A reconstruction method for equidistant fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.56, 4259–4238 (2011). [CrossRef]
- A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys.38, 5910–5915 (2011). [CrossRef]
- P. P. Zhu, K. Zhang, Z. L. Wang, Y. J. Liu, X. S. Liu, Z. Y. Wu, S. A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl Acad. Sci. USA107, 13576–13581 (2010). [CrossRef]
- I. Jerjen, V. Revol, C. Kottler, T. Luethi, U. Sennhauser, R. Kaufmann, and C. Urban, “Phase contrast cone beam tomography with an x-ray grating interferometer,” AIP Conf. Proc.1236, 227–231 (2010). [CrossRef]
- M. Bech, T. H. Jensen, R. Feidenhans’l, O. Bunk, C. David, and F. Pfeiffer, “Soft-tissue phase-contrast tomography with an x-ray tube source,” Phys. Med. Biol.54, 2747–2753 (2009). [CrossRef]
- F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134 (2008). [CrossRef]
- F. Pfeiffer, C. David, O. Bunk, T. Donath, M. Bech, G. Le Duc, A. Bravin, and P. Cloetens, “Region-of-interest tomography for grating-based differential phase-contrast imaging,” Phys. Rev.Lett.101, 168101 (2008). [CrossRef]
- G. H. Chen and Z. Qi, “Image reconstruction for fan-beam differential phase contrast computed tomography,” Phys. Med. Biol.53, 1015–1025 (2008). [CrossRef]
- A. Bravin, J. Keyrilainen, M. Fernandez, S. Fiedler, C. Nemoz, M. L. Karjalainen-Lindsberg, M. Tenhunen, P. Virkkunen, M. Leidenius, K. V. Smitten, P. Sipila, and P. Suortti, “High-resolution ct by diffraction-enhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology,” Phys. Med. Biol.52, 2197–2211 (2007). [CrossRef]
- F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Lett.98, 108105 (2007). [CrossRef]
- 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, 258–261 (2006). [CrossRef]
- A. Groso, M. Stampanoni, R. Abela, P. Schneider, S. Linga, and R. Müller, “Phase contrast tomography: an alternative approach,” Appl. Phys. Lett.88, 214104 (2006). [CrossRef]
- 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, 5254–5262 (2006). [CrossRef]
- A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys.44, 6355–6367 (2005). [CrossRef]
- S. Leng, T. G. Zhuang, B. E. Nett, and G. H. Chen, “Exact fan-beam image reconstruction algorithm for truncated projection data acquired from an asymmetric half-size detector,” Phys. Med. Biol.50, 1805–1820 (2005). [CrossRef]
- X. Pan, Y. Zou, and D. Xia, “Image reconstruction in peripheral and central regions-of-interest and data redundancy,” Med. Phys.32, 673–684 (2005). [CrossRef]
- T. G. Zhuang, S. Leng, B. E. Nett, and G. H. Chen, “Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data,” Phys. Med. Biol.49, 5489–5503 (2004). [CrossRef]
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Phys. Med. Biol.49, 3903–3923 (2004). [CrossRef]
- P. J. McMahon, A. G. Peele, D. Paterson, J. J. A. Lin, T. H. K. Irving, I. McNulty, and K. A. Nugent, “Quantitative x-ray phase tomography with sub-micron resolution,” Opt. Commun.217, 53–58 (2003). [CrossRef]
- 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–L868 (2003). [CrossRef]
- R. Fitzgerald, “Phase-sensitive x-ray imaging,” Phys. Today7, 23–26 (2000). [CrossRef]
- F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, and W. C. Thomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med.Biol.45, 933–946 (2000). [CrossRef]
- F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. Rajewsky, and T. Biermann, “Three-dimensional imaging of nerve tissue by x-ray phase-contrast microtomography,” Biophys. J.76, 98–102 (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, 2912–2914 (1999). [CrossRef]
- C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, and V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x rays,” Appl. Phys. Lett.69, 1826–1828 (1996). [CrossRef]
Cited By |
 Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Related Journal Articles 
- Bronnikov-aided correction for x-ray computed tomography (JOSAA)
- Quantitative phase-contrast tomography of a liquid phantom using a conventional x-ray tube source (OE)
- Single-resolution and multiresolution extended-Kalman-filter-based reconstruction approaches to optical refraction tomography (AO)
- A resource for the assessment of lung nodule size estimation methods: database of thoracic CT scans of an anthropomorphic phantom (OE)
- A tilted grating interferometer for full vector field differential x-ray phase contrast tomography (OE)
Related Conference Papers
- Radiography with a Terawatt Laser γ-Source
- Photostimulated luminescence dynamics and application of AgI and Ag of nanoparticles in medical imaging
- Ultrabright 4.5 keV Xe(L) X-ray Source from Optimized Stable Relativistic Channels
- Nanometer-Scale Imaging and Ablation with Extreme Ultraviolet Lasers
- Multiple-Shell Ankylography
« Previous Article | Next Article »
OSA is a member of 
For optimal display we recommend the following web browsers:
- Firefox 11+
- Google Chrome 17+
- Internet Explorer 9+
- Safari 5+