Abstract

A novel information retrieval algorithm for X-ray grating-based phase-contrast imaging based on the deconvolution of the object and the reference phase stepping curve (PSC) as proposed by Modregger et al. was investigated in this paper. We applied the method for the first time on data obtained with a polychromatic spectrum and compared the results to those, received by applying the commonly used method, based on a Fourier analysis. We confirmed the expectation, that both methods deliver the same results for the absorption and the differential phase image. For the darkfield image, a mean contrast-to-noise ratio (CNR) increase by a factor of 1.17 using the new method was found. Furthermore, the dose saving potential was estimated for the deconvolution method experimentally. It is found, that for the conventional method a dose which is higher by a factor of 1.66 is needed to obtain a similar CNR value compared to the novel method. A further analysis of the data revealed, that the improvement in CNR and dose efficiency is due to the superior background noise properties of the deconvolution method, but at the cost of comparability between measurements at different applied dose values, as the mean value becomes dependent on the photon statistics used.

© 2013 OSA

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  5. S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

2013

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

2012

P. Modregger, F. Scattarella, B. R. 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]

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

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 (2012).
[CrossRef]

2011

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

2009

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

M. K. Singh, U. S. Tiwary, and Y.-H. Kim, “An adaptively accelerated lucy-richardson method for image deblur-ring,” EURASIP J. Adv. Sig. Process.2008(2008).

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

2006

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

2005

2003

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of x-ray talbot interferometry,” Jpn. J. Appl. Phys.42, L866–L868 (2003).
[CrossRef]

2002

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

Achterhold, K.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Adam-Neumair, S.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Anton, G.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

Bamberg, F.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Bartl, P.

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

Bayer, F.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

Bech, M.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Beckmann, M. W.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Bellotti, R.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

P. Modregger, F. Scattarella, B. R. 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]

Bohla, A.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Bronnimann, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Bunk, O.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

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

Caro, L. D.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[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]

Cloetens, P.

David, C.

P. Modregger, F. Scattarella, B. R. 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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

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

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–304 (2005).
[CrossRef] [PubMed]

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

Diaz, A.

Durst, J.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

Eickelberg, O.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Eikenberry, E. F.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Fasching, P. A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Freudenberger, J.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

Gifford, M.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Grunzweig, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Haas, W.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, W. Haas, A. Hartmann, T. Michel, G. Pelzer, M. Radicke, C. Rauh, J. Rieger, A. Ritter, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, E. Wenkel, and L. Wucherer, “Grating-based darkfield imaging of human breast tissue,” Zeitschrift für Medizinische Physik (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–L868 (2003).
[CrossRef]

Hartmann, A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Herzen, J.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[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,” Invest. Radiol.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 (2012).
[CrossRef]

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]

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]

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–L868 (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 (2012).
[CrossRef]

Kim, Y.-H.

M. K. Singh, U. S. Tiwary, and Y.-H. Kim, “An adaptively accelerated lucy-richardson method for image deblur-ring,” EURASIP J. Adv. Sig. Process.2008(2008).

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 (2012).
[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–L868 (2003).
[CrossRef]

Kraft, P.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Loewen, R.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Magerl, A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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 (2012).
[CrossRef]

Malecki, A.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Meinel, F. G.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Michel, T.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

Modregger, P.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

P. Modregger, F. Scattarella, B. R. 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 (2012).
[CrossRef]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of x-ray talbot interferometry,” Jpn. J. Appl. Phys.42, L866–L868 (2003).
[CrossRef]

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 (2012).
[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 (2012).
[CrossRef]

Nikolaou, K.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

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 (2012).
[CrossRef]

Nöhammer, B.

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

Pelzer, G.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Pfeiffer, F.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

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

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–304 (2005).
[CrossRef] [PubMed]

Pinzer, B. R.

P. Modregger, F. Scattarella, B. R. 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]

Potdevin, G.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Radicke, M.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Rauh, C.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Reiser, M.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Rieger, J.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Ritter, A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Ruth, R.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Scattarella, F.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

P. Modregger, F. Scattarella, B. R. 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]

Schleede, S.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Schulz-Wendtland, R.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Sievers, P.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Singh, M. K.

M. K. Singh, U. S. Tiwary, and Y.-H. Kim, “An adaptively accelerated lucy-richardson method for image deblur-ring,” EURASIP J. Adv. Sig. Process.2008(2008).

Solak, H. H.

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

Stampanoni, M.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

P. Modregger, F. Scattarella, B. R. 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,” Invest. Radiol.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. Express13, 6296–304 (2005).
[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–L868 (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–L868 (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 (2012).
[CrossRef]

Tangaro, S.

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

Thieme, S. F.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Tiwary, U. S.

M. K. Singh, U. S. Tiwary, and Y.-H. Kim, “An adaptively accelerated lucy-richardson method for image deblur-ring,” EURASIP J. Adv. Sig. Process.2008(2008).

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Uder, M.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Wachter, D. L.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

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,” Invest. Radiol.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. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

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

Weisser, M.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (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,” Nature Phys.2, 258–261 (2006).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–304 (2005).
[CrossRef] [PubMed]

Wenkel, E.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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

Wucherer, L.

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

Yildirim, A. Ö.

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Zang, A.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

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. Express13, 6296–304 (2005).
[CrossRef] [PubMed]

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

Appl. Phys. Lett.

C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, “Differential x-ray phase contrast imaging using a shearing interferometer,” Appl. Phys. Lett.81, 3287–3289 (2002).
[CrossRef]

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]

EURASIP J. Adv. Sig. Process.

M. K. Singh, U. S. Tiwary, and Y.-H. Kim, “An adaptively accelerated lucy-richardson method for image deblur-ring,” EURASIP J. Adv. Sig. Process.2008(2008).

Invest. Radiol.

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,” Invest. Radiol.46, 801–806 (2011).
[CrossRef] [PubMed]

Jpn. J. Appl. Phys.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of x-ray talbot interferometry,” Jpn. J. Appl. Phys.42, L866–L868 (2003).
[CrossRef]

Med. Phys.

T. Weber, P. Bartl, F. Bayer, J. Durst, W. Haas, T. Michel, A. Ritter, and G. Anton, “Noise in x-ray grating-based phase-contrast imaging,” Med. Phys.38, 4133–4140 (2011).
[CrossRef] [PubMed]

Nature Mater.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, “Hard-xray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Nature Phys.

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

Opt. Express

Phys. Med. Biol.

T. Michel, J. Rieger, G. Anton, F. Bayer, M. W. Beckmann, J. Durst, P. A. Fasching, J. Freudenberger, W. Haas, A. Hartmann, A. Magerl, G. Pelzer, M. Radicke, C. Rauh, A. Ritter, P. Sievers, R. Schulz-Wendtland, M. Uder, D. L. Wachter, T. Weber, M. Weisser, E. Wenkel, and A. Zang, “On a dark-field signal generated by micrometer-sized calcifications in phase-contrast mammography,” Phys. Med. Biol.58, 2713–2732 (2013).
[CrossRef] [PubMed]

Phys. Rev. Lett.

P. Modregger, F. Scattarella, B. R. 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]

Physica Medica

F. Scattarella, S. Tangaro, P. Modregger, M. Stampanoni, L. D. Caro, and R. Bellotti, “Post-detection analysis for grating-based ultra-small angle x-ray scattering,” Physica Medica (2013).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. USA

S. Schleede, F. G. Meinel, M. Bech, J. Herzen, K. Achterhold, G. Potdevin, A. Malecki, S. Adam-Neumair, S. F. Thieme, F. Bamberg, K. Nikolaou, A. Bohla, A. Ö. Yildirim, R. Loewen, M. Gifford, R. Ruth, O. Eickelberg, M. Reiser, and F. Pfeiffer, “Emphysema diagnosis using x-ray dark-field imaging at a laser-driven compact synchrotron light source,” Proc. Natl. Acad. Sci. USA109, 17880–17885 (2012).
[CrossRef] [PubMed]

Zeitschrift für Medizinische Physik

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 (2012).
[CrossRef]

Other

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

MATLAB, “Version 7.12.0.635 (R2011a),” (2011).

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Figures (7)

Fig. 1
Fig. 1

Sketch of a Talbot-Lau interferometer setup. The source S emits wavefronts Φ that are disturbed by the object O investigated. The phase grating G1 adds a periodic phase shift to the wave front which leads to a periodic intensity pattern I(x) at certain discrete distances behind the grating. As the pitch of the intensity pattern is too small to be detected by the pixelated detector D directly, it has to be sampled by an analyser grating G2. The source grating G0 ensures spatial coherence when a source with large focal spot is used.

Fig. 2
Fig. 2

Photography of the phantom used for the contrast-to-noise ratio (CNR) investigations. The plastic sponge at the bottom left of the picture produces the dark field signal. On top, the Polytetrafluoroethylene (PTFE) wedge generates a constant differential phase image, while for the absorption image an empty Poly(methyl methacrylate) (PMMA) dice is used (right hand side of the picture).

Fig. 3
Fig. 3

Resulting absorption (top), differential phase (middle) and dark field image (bottom) of the phantom. On the left hand side, the images were obtained with the FFT method, on the right hand side with the deconvolution method. The boxes show the used ROIs for the CNR calculations.

Fig. 4
Fig. 4

Contrast-to-noise ratio of the absorption image A against the air kerma used for reconstruction. The crosses show the results obtained by the FFT method, the squares the results with the deconvolution method.

Fig. 5
Fig. 5

Contrast-to-noise ratio of the differential phase image P against the air kerma used for reconstruction. The crosses show the results obtained by the FFT method, the squares the results with the deconvolution method.

Fig. 6
Fig. 6

Contrast-to-noise ratio of the darkfield image B against the air kerma used for reconstruction. The crosses show the results obtained by the FFT method, the squares the results with the deconvolution method.

Fig. 7
Fig. 7

Mean darkfield signal air of the background region-of interest (ROI) for both information retrieval methods against the air kerma value used for reconstruction.

Tables (3)

Tables Icon

Table 1 Measured signal differences |imageair| for the two information retrieval methods at three different dose values.

Tables Icon

Table 2 Measured image noise values ( σ image 2 + σ air 2 ) 1 / 2 for the two information retrieval methods at three different dose values.

Tables Icon

Table 3 Measured values of σimage and σair of the darkfield image B for both information retrieval algorithms.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

s ( ϕ ) = f ( ϕ ) * g ( ϕ ) .
A M 0 = g ( ϕ ) d ϕ ,
P M 1 = ϕ g ( ϕ ) d ϕ / M 0
2 ln B M 2 = ( ϕ M 1 ) 2 g ( ϕ ) d ϕ / M 0 .
CNR = | S ¯ image S ¯ air | ( σ image 2 + σ air 2 ) 1 / 2 ,
3.0 mGy / 1.8 mGy = 1.66

Metrics