Abstract

Besides the well-known conventional X-ray attenuation image, Talbot-Lau X-ray imaging (TLXI) provides additional information about the small-angle scattering and refractive features of an object. In general, TLXI setups have to be mechanically robust, since already slight inaccuracies during the measurement process result in moiré artefacts. This work derives moiré artefacts as a result of phase-stepping inaccuracies. The dependency of these artefacts on the phase-stepping inaccuracies is mathematically derived by a Taylor series expansion and verified by a simulation. Among other things, it is shown that moiré artefacts can be calculated by a weighted mean of phase-stepping position deviations to their target positions. These weighting factors vary for each image. Moiré artefacts can even be affected by object features which are not displayed in the particular contrast. The findings of this work offer the possibility to develop advanced reconstruction algorithms which suppress moiré artefacts in the reconstructed images. This reduces the method’s susceptibility to setup component inaccuracies as well as external influences and hence facilitates TLXI for clinical practice.

© 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref]
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    [Crossref] [PubMed]
  3. F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 2, 258–261 (2006).
    [Crossref]
  4. 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,” Nat. Materials 7, 134–137 (2008).
    [Crossref] [PubMed]
  5. A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys. 44, 6355 (2005).
    [Crossref]
  6. D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
    [Crossref] [PubMed]
  7. M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
    [Crossref] [PubMed]
  8. J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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  17. V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
    [Crossref] [PubMed]
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  19. M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
    [Crossref]
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    [Crossref] [PubMed]
  21. Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
    [Crossref]
  22. P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
    [Crossref] [PubMed]
  23. F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
    [Crossref]

2016 (1)

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

2013 (6)

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

2012 (1)

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

2011 (3)

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

2010 (1)

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

2009 (3)

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

2008 (2)

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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

2006 (1)

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 2, 258–261 (2006).
[Crossref]

2005 (2)

2003 (1)

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 (2003).
[Crossref]

1982 (1)

Anton, G.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Baumann, J.

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Bayer, F.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Bech, M.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Beck, T. J.

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

Beckmann, M.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Bednarzik, M.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Bellotti, R.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

Bingham, C. O.

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

Brendel, C.

Brönnimann, C.

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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Bruyndonckx, P.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Bunk, O.

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 2, 258–261 (2006).
[Crossref]

Carrino, J. A.

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

Chen, Z.-Q.

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

Christensen, L. B.

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

Cloetens, P.

David, C.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 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, 6296–6304 (2005).
[Crossref] [PubMed]

Diaz, A.

Dobes, K.

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Donath, T.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

Durst, J.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Eikenberry, E. F.

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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Engelhardt, M.

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Fasching, P.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Fehringer, A.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Feidenhans, R.

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

Groot, W.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Grünzweig, C.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Haas, W.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Hamaishi, Y.

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 (2003).
[Crossref]

Hartmann, A.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Hauser, N.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Hempel, E.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Henrich, B.

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

Herzen, J.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Hoheisel, M.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Hohl, M. K.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Hoshino, Y.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Hostens, J.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Huang, Z.-F.

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

Jerjen, I.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

Kang, K.-J.

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

Kastner, J.

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Kaufmann, R.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

Kawamoto, S.

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 (2003).
[Crossref]

Kido, K.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Kiyohara, J.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Kottler, C.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Koyama, I.

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 (2003).
[Crossref]

Kraft, P.

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Kubik-Huch, R. A.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Lauridsen, T.

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

Lüthi, T.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

Makifuchi, C.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Marschner, M.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Michel, T.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Modregger, P.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

Momose, A.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys. 44, 6355 (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 (2003).
[Crossref]

Morgan, C.

Nagashima, M.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Nagatsuka, S.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Nielsen, M. S.

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

Nishino, S.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Noël, P.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Pauwels, B.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Pelzer, G.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Pfeiffer, F.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 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, 6296–6304 (2005).
[Crossref] [PubMed]

Pinzer, B.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

Plank, B.

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Popescu, S.

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Potdevin, G.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Radicke, M.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Rauh, C.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Revol, V.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Rieger, J.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Ritter, A.

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Roessl, E.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Sasov, A.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Scattarella, F.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

Scheerer, M.

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Schroer, C.

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Schulz-Wendtland, R.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Schuster, M.

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Schütz, P.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

Senck, S.

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

Sennhauser, U.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

Sievers, P.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Singer, G.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Stampanoni, M.

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

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, 6296–6304 (2005).
[Crossref] [PubMed]

Straumann, U.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

Stutman, D.

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

Suzuki, Y.

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 (2003).
[Crossref]

Takai, K.

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 (2003).
[Crossref]

Tanaka, J.

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Tapfer, A.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Thüring, T.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Trippel, M.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Uder, M.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Urban, C.

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

Velroyen, A.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Wachter, D.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Wang, Z.

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

Wang, Z.-T.

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

Weber, T.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

F. Bayer, S. Zabler, C. Brendel, G. Pelzer, J. Rieger, A. Ritter, T. Weber, T. Michel, and G. Anton, “Projection angle dependence in grating-based x-ray dark-field imaging of ordered structures,” Opt. Express 21, 19922–19933 (2013).
[Crossref] [PubMed]

Weitkamp, T.

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 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, 6296–6304 (2005).
[Crossref] [PubMed]

Wenkel, E.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Willner, M.

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Wucherer, L.

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

Yaroshenko, A.

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

Zabler, S.

Zang, A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

Ziegler, E.

Appl. Phys. Lett. (1)

Z.-T. Wang, K.-J. Kang, Z.-F. Huang, and Z.-Q. Chen, “Quantitative grating-based x-ray dark-field computed tomography,” Appl. Phys. Lett. 95, 094105 (2009).
[Crossref]

Food Control (1)

M. S. Nielsen, T. Lauridsen, L. B. Christensen, and R. Feidenhans, “X-ray dark-field imaging for detection of foreign bodies in food,” Food Control 30, 531–535 (2013).
[Crossref]

Investigative Radiology (1)

M. Stampanoni, Z. Wang, T. Thüring, C. David, E. Roessl, M. Trippel, R. A. Kubik-Huch, G. Singer, M. K. Hohl, and N. Hauser, “The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography,” Investigative Radiology 46, 801–806 (2011).
[Crossref] [PubMed]

J. Appl. Phys. (2)

V. Revol, I. Jerjen, C. Kottler, P. Schütz, R. Kaufmann, T. Lüthi, U. Sennhauser, U. Straumann, and C. Urban, “Sub-pixel porosity revealed by x-ray scatter dark field imaging,” J. Appl. Phys. 110, 044912 (2011).
[Crossref]

F. Pfeiffer, M. Bech, O. Bunk, T. Donath, B. Henrich, P. Kraft, and C. David, “X-ray dark-field and phase-contrast imaging using a grating interferometer,” J. Appl. Phys. 105, 102006 (2009).
[Crossref]

J. Microscopy (1)

M. Engelhardt, C. Kottler, O. Bunk, C. David, C. Schroer, J. Baumann, M. Schuster, and F. Pfeiffer, “The fractional Talbot effect in differential x-ray phase-contrast imaging for extended and polychromatic x-ray sources,” J. Microscopy 232, 145–157 (2008).
[Crossref]

Jpn. J. Appl. Phys. (2)

A. Momose, “Recent advances in x-ray phase imaging,” Jpn. J. Appl. Phys. 44, 6355 (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 (2003).
[Crossref]

Nat. Materials (1)

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,” Nat. Materials 7, 134–137 (2008).
[Crossref] [PubMed]

Nat. Physics (1)

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance x-ray sources,” Nat. Physics 2, 258–261 (2006).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Phys. Med. Biol. (2)

T. Michel, J. Rieger, G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol. 58, 2713 (2013).
[Crossref] [PubMed]

D. Stutman, T. J. Beck, J. A. Carrino, and C. O. Bingham, “Talbot phase-contrast x-ray imaging for the small joints of the hand,” Phys. Med. Biol. 56, 5697 (2011).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

P. Modregger, F. Scattarella, B. Pinzer, C. David, R. Bellotti, and M. Stampanoni, “Imaging the ultrasmall-angle x-ray scattering distribution with grating interferometry,” Phys. Rev. Lett. 108, 048101 (2012).
[Crossref] [PubMed]

Rev. Sci. Instrum. (2)

V. Revol, C. Kottler, R. Kaufmann, U. Straumann, and C. Urban, “Noise analysis of grating-based x-ray differential phase contrast imaging,” Rev. Sci. Instrum. 81, 073709 (2010).
[Crossref] [PubMed]

T. Donath, F. Pfeiffer, O. Bunk, W. Groot, M. Bednarzik, C. Grünzweig, E. Hempel, S. Popescu, M. Hoheisel, and C. David, “Phase-contrast imaging and tomography at 60 keV using a conventional x-ray tube source,” Rev. Sci. Instrum. 80, 053701 (2009).
[Crossref] [PubMed]

Sci. Rep. (2)

M. Bech, A. Tapfer, A. Velroyen, A. Yaroshenko, B. Pauwels, J. Hostens, P. Bruyndonckx, A. Sasov, and F. Pfeiffer, “In-vivo dark-field and phase-contrast x-ray imaging,” Sci. Rep. 3, 3209 (2013).
[Crossref] [PubMed]

M. Marschner, M. Willner, G. Potdevin, A. Fehringer, P. Noël, F. Pfeiffer, and J. Herzen, “Helical x-ray phase-contrast computed tomography without phase stepping,” Sci. Rep. 6, 23953 (2016).
[Crossref] [PubMed]

Zeitschrift für Medizinische Physik (1)

G. Anton, F. Bayer, M. Beckmann, J. Durst, P. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik 23, 228–235 (2013).
[Crossref]

J. Tanaka, M. Nagashima, K. Kido, Y. Hoshino, J. Kiyohara, C. Makifuchi, S. Nishino, S. Nagatsuka, and A. Momose, “Cadaveric and in vivo human joint imaging based on differential phase contrast by x-ray Talbot-Lau interferometry,” Zeitschrift für medizinische Physik 23, 222–227 (2013).
[Crossref]

Other (1)

S. Senck, M. Scheerer, V. Revol, K. Dobes, B. Plank, and J. Kastner, “Non-destructive evaluation of defects in polymer matrix composites for aerospace applications using x-ray Talbot-Lau interferometry and micro CT,” in “58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,” (2017), p. 0355.

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Figures (4)

Fig. 1
Fig. 1 Schematic illustration of a Talbot-Lau interferometer. A beam splitter grating (G1) is placed in the beam path between an X-ray source (S) and detector (D). An intensity distribution (I) equivalent to the periodic structure of the beam splitter grating occurs downstream of the grating. If an object (O) is placed in front of the beam splitter grating, the intensity distribution changes. The necessary spatial coherence can be achieved by using a source grating (G0). The interference fringes can be sampled by stepping an analyzer grating (G2) in front of the detector (D).
Fig. 2
Fig. 2 The left figure shows the moiré phase φo used for simulation and calculations. It is arbitrarily defined as a superposition of a linear and radial gradient. It determines the fundamental shape of the moiré artefacts in the reconstructed images and the moiré pattern in each phase step acquisition. The right figure exemplarily shows the first phase step acquisition of the generated artificial PS dataset. It constitutes an experimental raw image. The used object features Ī, φ, and A are displayed in Fig. 3. The periodic moiré pattern of the phase step acquisition is the result of the low frequency moiré phase.
Fig. 3
Fig. 3 The left column shows the intensity image Ī, amplitude image A, phase image φ, and visibility image V used to generate the artificial PS data set. They are also the result of the reconstruction with ideal phase step positions. Hence they serve as ground truth images Īimg,gt, Aimg,gt, φimg,gt, and Vimg,gt. The right column shows the result of a reconstruction with incorrect phase-stepping positions. Hence the images Īimg,art, Aimg,art, φimg,art, and Vimg,art bear moiré artefacts.
Fig. 4
Fig. 4 The left column shows moiré artefacts calculated by a Taylor series expansion as derived in chapter 3.1. The center column shows moiré artefacts obtained by a reconstruction with incorrect phase step positions as shown in chapter 3.2. The right column shows the difference of the calculated and simulated moiré artefacts.

Tables (1)

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Table 1 Shift Δn of each phase step n used for calculating the phase step position deviations Δ x n = 2 π N Δ n, which cause moiré artefacts in the reconstructed images.

Equations (43)

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I n = I ¯ + A cos ( x n + φ + φ o ) ,
F j = 1 N n = 0 N 1 I n exp ( i 2 π N n j ) ,
I img = F 0 ,
A img = | F 1 | + | F 1 | = 2 | F 1 | = 2 ( Re ( F 1 ) ) 2 + ( Im ( F 1 ) ) 2 ,
φ img = tan 1 ( Im ( F 1 ) Re ( F 1 ) ) ,
V img = A img I img ,
I img = I ¯ ,
A img = A ,
φ img = φ + φ o ,
V img = A I ¯ .
Γ img = ln ( I img , obj I img , ref ) ,
Φ img = φ img , obj φ img , ref ,
Σ img = V img , obj V img , ref .
Δ f = f ( x + Δ x ) f ( x ) = d f ( x ) d x Δ x .
Δ f = n = 0 N 1 d f ( x 0 , , x N 1 ) d x n Δ x n .
Δ I img = I ¯ V 1 N n = 0 N 1 sin ( 2 π N n + φ + φ o ) Δ x n ,
Δ A img = A 1 N n = 0 N 1 sin ( 2 ( 2 π N n + φ + φ o ) ) Δ x n ,
Δ φ img = 1 N n = 0 N 1 ( 1 cos ( 2 ( 2 π N n + φ + φ o ) ) ) Δ x n ,
Δ V img = 1 N n = 0 N 1 ( V 2 sin ( 2 π N n + φ + φ o ) V sin ( 2 ( 2 π N n + φ + φ o ) ) ) Δ x n ,
Δ V V = Δ A A Δ I I ¯ .
Γ img = ln ( I ¯ obj + Δ I img , obj I ¯ ref + Δ I img , ref ) ,
Φ img = ( φ obj + Δ φ img , obj ) ( φ ref + Δ φ img , ref ) ,
img = V obj + Δ V img , obj V ref + Δ V img , ref .
Δ V img , obj Δ V img , ref = I ¯ obj I ¯ ref ,
Δ φ img , obj = Δ φ img , ref ,
Δ V img , obj Δ V img , ref = V obj V ref .
Δ I img = n = 0 N 1 d I img d x n Δ x n ,
I img = F 0 = 1 N n = 0 N 1 I n = 1 N n = 0 N 1 ( I ¯ + A cos ( x n + φ + φ o ) ) .
d I img d x n = A 1 N sin ( x n + φ + φ o ) .
Δ I img = A 1 N n = 0 N 1 sin ( 2 π N n + φ + φ o ) Δ x n .
Δ A img = n = 0 N 1 d A img d x n Δ x n .
A img = 2 | F 1 | = 2 ( Re ( F 1 ) ) 2 + ( Im ( F 1 ) ) 2 .
F 1 = 1 N n = 0 N 1 I n exp ( i 2 π N n ) = 1 N n = 0 N 1 ( I ¯ + A cos ( x n + φ + φ o ) ) exp ( i 2 π N n ) ,
d A img d x n = A N sin ( 2 ( 2 π N n + φ + φ o ) ) ,
A img = A 1 N n = 0 N 1 sin ( 2 ( 2 π N n + φ + φ o ) ) Δ x n .
Δ φ img = n = 0 N 1 d φ img d x n Δ x n .
φ img = tan 1 ( Im ( F 1 ) Re ( F 1 ) ) .
d φ img d x n = 1 N ( 1 cos ( 2 ( 2 π N n + φ + φ o ) ) ) ,
Δ φ img = 1 N n = 0 N 1 ( 1 cos ( 2 ( 2 π N n + φ + φ o ) ) ) Δ x n .
Δ V img = n = 0 N 1 d V img d x n Δ x n ,
V img = A img I img .
d V img d x n = d d x n A img I img 1 N ( V 2 sin ( 2 π N n + φ + φ o ) V sin ( 2 ( 2 π N n + φ + φ o ) ) ) ,
Δ V img = 1 N n = 0 N 1 ( V 2 sin ( 2 π N n + φ + φ o ) V sin ( 2 ( 2 π N n + φ + φ o ) ) ) Δ x n .

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