Abstract

Synchrotron laminography is combined with Talbot grating interferometry to address weakly absorbing specimens. Integrating both methods into one set-up provides a powerful x-ray diagnostical technique for multiple contrast screening of macroscopically large flat specimen and a subsequent non-destructive three-dimensional (3-D) inspection of regions of interest. The technique simultaneously yields the reconstruction of the 3-D absorption, phase, and the so-called dark-field contrast maps. We report on the theoretical and instrumental implementation of of this novel technique. Its broad application potential is exemplarily demonstrated for the field of cultural heritage, namely study of the historical Dead Sea parchment.

© 2012 OSA

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  1. Z. des Plantes, “Eine neue Methode zur Differenzierung in der Rontgenographie,” Acta Radio. 13, 182–192 (1932).
    [CrossRef]
  2. L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
    [CrossRef]
  3. J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).
  4. A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
    [CrossRef]
  5. S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
    [CrossRef]
  6. L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
    [CrossRef]
  7. M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
    [CrossRef] [PubMed]
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    [CrossRef]
  9. T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
    [CrossRef]
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    [CrossRef]
  11. L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
    [CrossRef] [PubMed]
  12. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express 13, 6269–6304 (2005).
    [CrossRef]
  13. F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” Nat. Phys. 2, 258–261 (2006).
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    [CrossRef]
  17. F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
    [CrossRef] [PubMed]
  18. F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).
  19. A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).
  20. 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] [PubMed]
  21. I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
    [CrossRef]
  22. D. Bradley and D. Creagh, Physical techniques in the Study of Art, Archaeology and Cultural Heritage (Elsevier, 2007).
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  24. B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
    [CrossRef]
  25. J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
    [CrossRef]

2011 (3)

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

2010 (3)

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

2009 (1)

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

2008 (2)

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

2007 (2)

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] [PubMed]

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

2006 (2)

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” Nat. Phys. 2, 258–261 (2006).
[CrossRef]

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

2005 (2)

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[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. Express 13, 6269–6304 (2005).
[CrossRef]

1999 (1)

P. Mikulík and T. Baumbach, “X-ray reflection by rough multilayer gratings: dynamical and kinematical scattering,” Phys. Rev. B 59, 7632–7643 (1999).
[CrossRef]

1932 (1)

Z. des Plantes, “Eine neue Methode zur Differenzierung in der Rontgenographie,” Acta Radio. 13, 182–192 (1932).
[CrossRef]

Balla, M.

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

Baruchel, J.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

Baumbach, T.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

P. Mikulík and T. Baumbach, “X-ray reflection by rough multilayer gratings: dynamical and kinematical scattering,” Phys. Rev. B 59, 7632–7643 (1999).
[CrossRef]

F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

Bech, M.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Beckmann, F.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

Berthold, A.

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

Blaas, J.

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

Bradley, D.

D. Bradley and D. Creagh, Physical techniques in the Study of Art, Archaeology and Cultural Heritage (Elsevier, 2007).

Bravin, A.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Brönniman, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Bruder, J.

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

Bunk, O.

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

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] [PubMed]

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” Nat. Phys. 2, 258–261 (2006).
[CrossRef]

Cloetens, P.

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (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. Express 13, 6269–6304 (2005).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

Coan, P.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Coerdt, A.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Cotte, M.

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

Creagh, D.

D. Bradley and D. Creagh, Physical techniques in the Study of Art, Archaeology and Cultural Heritage (Elsevier, 2007).

David, C.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

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] [PubMed]

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” 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. Express 13, 6269–6304 (2005).
[CrossRef]

De Buffrénil, C.

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

des Plantes, Z.

Z. des Plantes, “Eine neue Methode zur Differenzierung in der Rontgenographie,” Acta Radio. 13, 182–192 (1932).
[CrossRef]

Di Michiel, M.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

Diaz, A.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express 13, 6269–6304 (2005).
[CrossRef]

Dik, J.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

DiMichiel, M.

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

Donath, T.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

Eikenberry, E.F.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Elyyan, M.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Grünzweig, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Gunneweg, J.

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

Hänschke, D.

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

Harasse, S.

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

Helfen, L.

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

Hirayama, N.

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

Hoshino, M.

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

Houssaye, A.

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

Kiel, D.

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

Kottler, C.

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] [PubMed]

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” Nat. Phys. 2, 258–261 (2006).
[CrossRef]

Kraft, P.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Krug, K.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Larsen, R.

R. LarsenMicroanalysis of Parchment (Archetype Books, 2007).

Mikulík, P.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

P. Mikulík and T. Baumbach, “X-ray reflection by rough multilayer gratings: dynamical and kinematical scattering,” Phys. Rev. B 59, 7632–7643 (1999).
[CrossRef]

Momose, A.

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

A. Momose, W. Yashiroi, and Y. Takeda, “X-ray phase imaging with Talbot interferometry,” in Biomedical Mathematics:Promising Directions in Imaging, Therapy Planning, and Inverse Problems, Y. Censor, M. Jiang, and G. Wang, eds. (Medical Physics Publishing, 2010), pp. 281–320.

Mueller, M.

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

Müller, B.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

Murphy, B.M.

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

Myagotin, A.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

Natterer, F.

F. Natterer, The Mathematics of Computerized Tomography (Society for Industrial and Applied Mathematics, 2001).
[CrossRef]

Pernot, P.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

Pfeiffer, F.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

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] [PubMed]

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” 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. Express 13, 6269–6304 (2005).
[CrossRef]

Porra, L.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Reischig, P.

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

Reznikova, E.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

Rutishauser, S.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

Schulz, G.

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

Stampanoni, M.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express 13, 6269–6304 (2005).
[CrossRef]

Suhonen, H.

F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).

Suzuki, Y.

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

Tafforeau, P.

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

Takeda, Y.

A. Momose, W. Yashiroi, and Y. Takeda, “X-ray phase imaging with Talbot interferometry,” in Biomedical Mathematics:Promising Directions in Imaging, Therapy Planning, and Inverse Problems, Y. Censor, M. Jiang, and G. Wang, eds. (Medical Physics Publishing, 2010), pp. 281–320.

Takeuchi, A.

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

Tauber, G.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Uesugi, K.

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

Voropaev, A.

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

Wallert, A.

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

Weitkamp, T.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (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. Express 13, 6269–6304 (2005).
[CrossRef]

Xu, F.

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).

Yagi, N.

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

Yashiro, W.

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

Yashiroi, W.

A. Momose, W. Yashiroi, and Y. Takeda, “X-ray phase imaging with Talbot interferometry,” in Biomedical Mathematics:Promising Directions in Imaging, Therapy Planning, and Inverse Problems, Y. Censor, M. Jiang, and G. Wang, eds. (Medical Physics Publishing, 2010), pp. 281–320.

Zanette, I.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

Ziegler, E.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express 13, 6269–6304 (2005).
[CrossRef]

Acta Radio. (1)

Z. des Plantes, “Eine neue Methode zur Differenzierung in der Rontgenographie,” Acta Radio. 13, 182–192 (1932).
[CrossRef]

Appl. Phys. Lett. (2)

L. Helfen, T. Baumbach, P. Cloetens, and J. Baruchel, “Phase-contrast and holographic computed laminography,” Appl. Phys. Lett. 94(10), 104103 (2009).
[CrossRef]

L. Helfen, T. Baumbach, P. Mikulík, D. Kiel, P. Pernot, P. Cloetens, and J. Baruchel, “High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography,” Appl. Phys. Lett. 86, 071915 (2005).
[CrossRef]

Eur. J. Radiol (1)

T. Weitkamp, C. David, O. Bunk, J. Bruder, P. Cloetens, and F. Pfeiffer, “X-ray phase radiography and tomography of soft tissue using grating interferometry,” Eur. J. Radiol.  68S, 13–17 (2008).
[CrossRef]

J. Roy. Soc. Interf. (1)

G. Schulz, T. Weitkamp, I. Zanette, F. Pfeiffer, F. Beckmann, C. David, S. Rutishauser, E. Reznikova, and B. Müller, “High-resolution tomographic imaging of a human cerebellum: comparison of absorption and grating-based phase contrast,” J. Roy. Soc. Interf. 7, 1665–1676 (2010).
[CrossRef]

J. Synchrotron Rad. (1)

J. Dik, K. Krug, L. Porra, P. Coan, G. Tauber, A. Wallert, A. Coerdt, A. Bravin, M. Elyyan, L. Helfen, and T. Baumbach, “Relics in medieval altarpieces? combining x-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings,” J. Synchrotron Rad. 563, 163–166 (2007).

J. Vert. Paleontol. (1)

A. Houssaye, F. Xu, L. Helfen, C. De Buffrénil, T. Baumbach, and P. Tafforeau, “Three-dimensional pelvis and limb anatomy of the Cenomanian hind-limbed snake Eupodophis descouensi (Squamata, Ophidia) revealed by synchrotron-radiation computed laminography,” J. Vert. Paleontol. 31, 2–6 (2011).
[CrossRef]

Nat. Mater. (1)

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, C. Brönniman, C. Grünzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Nat. Phys. (1)

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast images using polychromatic hard X-rays,” Nat. Phys. 2, 258–261 (2006).
[CrossRef]

Nucl. Inst. Meth. A (1)

L. Helfen, A. Myagotin, P. Pernot, M. DiMichiel, P. Mikulík, A. Berthold, and T. Baumbach, “Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging,” Nucl. Inst. Meth. A 563, 163–166 (2006).
[CrossRef]

Opt. Express (1)

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express 13, 6269–6304 (2005).
[CrossRef]

Phys. Rev. B (1)

P. Mikulík and T. Baumbach, “X-ray reflection by rough multilayer gratings: dynamical and kinematical scattering,” Phys. Rev. B 59, 7632–7643 (1999).
[CrossRef]

Phys. Rev. Lett. (2)

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] [PubMed]

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, “Two-dimensional x-ray grating interferometer,” Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

Proc. SPIE (1)

S. Harasse, N. Hirayama, W. Yashiro, and A. Momose, “X-ray phase laminography with Talbot interferometer,” Proc. SPIE 7804, 780411 (2010).
[CrossRef]

Rev. Sci. Instrum. (2)

M. Hoshino, K. Uesugi, A. Takeuchi, Y. Suzuki, and N. Yagi, “Development of x-ray laminography under an x-ray microscopic condition,” Rev. Sci. Instrum. 82, 073706 (2011).
[CrossRef] [PubMed]

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev, M. Elyyan, M. Di Michiel, J. Baruchel, and T. Baumbach, “On the implementation of computed laminography using synchrotron radiation,” Rev. Sci. Instrum. 82, 063702 (2011).
[CrossRef] [PubMed]

Other (8)

A. Momose, W. Yashiroi, and Y. Takeda, “X-ray phase imaging with Talbot interferometry,” in Biomedical Mathematics:Promising Directions in Imaging, Therapy Planning, and Inverse Problems, Y. Censor, M. Jiang, and G. Wang, eds. (Medical Physics Publishing, 2010), pp. 281–320.

F. Natterer, The Mathematics of Computerized Tomography (Society for Industrial and Applied Mathematics, 2001).
[CrossRef]

F. Xu, L. Helfen, T. Baumbach, and H. Suhonen, “Comparison and quantification of laminography and limited-angle-tomography,” Opt. Express, submitted (2011).

A. Myagotin, A. Voropaev, L. Helfen, D. Hänschke, and T. Baumbach, “Fast volume reconstruction for parallel-beam computed laminography by filtered backprojection,” J. Parallel Distrib. Comput., submitted (2011).

D. Bradley and D. Creagh, Physical techniques in the Study of Art, Archaeology and Cultural Heritage (Elsevier, 2007).

R. LarsenMicroanalysis of Parchment (Archetype Books, 2007).

B.M. Murphy, M. Cotte, M. Mueller, M. Balla, and J. Gunneweg, “Degradation of parchment and ink of the Dead Sea scrolls investigated using synchrotron-based X-ray and infrared microscopy, in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 77–98.
[CrossRef]

J. Dik, L. Helfen, P. Reischig, J. Blaas, and J. Gunneweg, “A short note on the application of synchrotron-based micro-tomography on the Dead Sea scrolls in Holistic Qumran,” in Holistic Qumran, J. Gunneweg, A. Adriaens, and J. Dik, eds. (Brill Leiden, 2010), pp. 21–28.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Propagation geometry and coordinate systems for TGI-based laminography: {x,y,z} correspond to the specimen’s fixed-body coordinate system, {u,v,w} to the laboratory coordinate system with the corresponding unit vectors. The laminography tilt angle θ is measured between the rotation axis and the optical axis. φ is the laminographic rotation angle. K0 is the wave vector of the incident x-ray fronts. The cross section of the Ewald sphere and the grating rods define the wave vectors of the grating diffraction orders Kn.

Fig. 2
Fig. 2

Schematic view of the experimental set-up. The coordinate systems are the same as in the previous chapter, Xg denotes grating translation for the phase-stepping technique.

Fig. 3
Fig. 3

Figures (a–c) shows absorption, dark-field and phase contrast slices through the reconstructed 3-D volume of the freshly prepared parchment. The scale bar is 1 mm. Figures (d–f) are the phase contrast slices at the different height, through the 3-D laminographic volume of the parchment, the thickness of the piece is 280 μm. Figures (d) and (f) are recto (skin) and verso (flesh) sides correspondingly. Figure (e) depicts a slice through the middle of the volume at 140 μm from the surface. All images are the zoomed ROI from the Fig. (c). The scale bar is 500 μm.

Fig. 4
Fig. 4

Figures (a–c) show absorption, dark-field, and phase contrast slices through the reconstructed 3-D volume from the small piece of Dead Sea scrolls. The scale bar is 1 mm. As for the freshly prepared parchment, figures (d–f) show phase contrast slices at the different depth of parchment (zoomed region from (c)). The total thickness of the parchment from the Dead Sea scrolls is about 150 μm. The scale bar is 500 μm.

Equations (21)

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( x , y , z ) = R z ( φ ) R x ( θ ) ( u v w ) ,
E T ( r ) = exp ( ip φ , θ ( r || ) ) exp ( iK 0 w ) .
p φ , θ ( r || ) = p φ , θ ( r || ) i p φ , θ ( r || ) = K 𝕌 3 { δ ˜ ( r ) i β ˜ ( r ) } δ ( re u u ) δ ( re v v ) d r .
E G ( r ) = m T m exp ( i K m r ) ,
K m = h m + { K h m 2 / 2 K } e ^ w .
E P ( r || , w a ) = m T m exp ( i ( r || h m w h m 2 / 2 K ) ) exp ( ip φ , θ ( r || + w ˜ [ h m / K ] ) ) .
E P ( r || , w a ) = exp ( ( ip φ , θ ( r || ) ) m T m exp ( i w h m 2 / 2 K ) exp ( i h m { r || w ˜ / K || p φ , θ ( r || ) } ) .
I P ( r ) = exp ( 2 p φ , θ ( r || ) ) n I n exp ( i h n r ˜ )
J ( r ) m , l I l A l exp ( i h m Δ r ˜ || ) = m , l I l A l exp ( i h m w ˜ / K || p φ , θ ( r || ) ) ,
h w ˜ / K || p φ , θ ( r || ) arg { n = 1 N J n ( u , v , w ) exp ( 2 π i n / N ) } .
𝒫 ( k u , k v ) = ( k u e u + k v e v ) .
0 2 π g φ , θ ( x , y , z ) d φ = 0 2 π p φ , θ ( T x , z [ 1 , 3 ] ( θ , φ ) ( x , y , z ) T ) d φ ,
T x , z ( θ , φ ) = R x ( θ π / 2 ) R z ( φ ) = [ cos φ sin φ 0 sin θ sin φ sin θ cos φ cos θ cos θ sin φ cos θ cos φ sin θ ] ,
g ( r ) = { ρ h } ( r ) ,
ρ ( r ) = 3 1 { ( k ) } = 3 1 { [ 𝒢 ¯ ] ( k ) } = { g h ¯ } ( r ) ,
{ 𝒢 φ , θ ¯ } ( k ) = { 𝒫 φ , θ ¯ φ , θ } ( T x , z [ 1 , 3 ] ( θ , φ ) k ) × δ ( T x , z [ 2 ] ( θ , φ ) k ) ,
¯ φ , θ ( k u , k v ) = ¯ ( T x , z 1 ( θ , φ ) ( k u , 0 , k v ) T ) .
2 { h ¯ φ , θ } = ¯ φ , θ ( k u , k v ) = sin θ 2 | k u | .
𝒬 φ , θ ( k u , k v ) = { 𝒫 φ , θ ¯ φ , θ } ( k u , k v ) 2 q φ , θ ( u , v ) = { p φ , θ h ¯ φ , θ } ( u , v )
ρ ( r ) = 3 1 { 0 2 π 𝒬 φ , θ ( T x , z [ 1 , 3 ] ( θ , φ ) k ) δ ( T x , z [ 2 ] ( θ , φ ) k ) φ , θ ( k ) d φ } = 0 2 π q φ , θ ( T x , z [ 1 , 3 ] ( θ , φ ) r ) d φ .
2 { h ¯ φ , θ } = ¯ φ , θ ( k u , k v ) = sin θ 2 1 2 π i sgn ( k u )

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