Abstract

We present a spectral phase unwrapping approach for grating-based differential phase-contrast data where the unwrapped interferometer phase shift is estimated from energy discriminated measurements using maximum likelihood principles. We demonstrate the method on tomographic data sets of a test specimen taken at different x-ray energies using synchrotron radiation. The proposed unwrapping technique was demonstrated to successfully correct the data set for phase wrapping.

© 2013 Optical Society of America

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  1. A. Baldi, “Phase unwrapping by region growing,” Appl. Opt.42, 2498–2505 (2003).
    [CrossRef] [PubMed]
  2. C. W. Chen and H. A. Zebker, “Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimizatio,” J.Opt. Soc. Am. A18, 338–351 (2001).
    [CrossRef]
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    [CrossRef]
  6. C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
    [CrossRef]
  7. I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
    [CrossRef]
  8. K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  26. 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]
  27. M. Born and E. Wolf, Principles of Optics (Academic, 1993).
  28. M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
    [CrossRef]
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  30. J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
    [CrossRef] [PubMed]
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2012 (3)

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
[CrossRef]

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

2011 (4)

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

I. Jerjen, V. Revol, P. Schuetz, C. Kottler, R. Kaufmann, T. Luethi, K. Jefimovs, C. Urban, and U. Sennhauser, “Reduction of phase artifacts in differential phase contrast computed tomography,” Opt. Express19, 13604–13611 (2011).
[CrossRef] [PubMed]

2010 (1)

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

2009 (1)

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]

2008 (1)

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

2007 (2)

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

2006 (2)

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[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. Lett.2, 258–261 (2006).
[CrossRef]

2005 (1)

2003 (2)

A. Baldi, “Phase unwrapping by region growing,” Appl. Opt.42, 2498–2505 (2003).
[CrossRef] [PubMed]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot Interferometry,” Jpn. J. Appl. Phys., 42, 866–868 (2003).
[CrossRef]

2001 (1)

C. W. Chen and H. A. Zebker, “Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimizatio,” J.Opt. Soc. Am. A18, 338–351 (2001).
[CrossRef]

2000 (1)

G. Nico, “Bayesian approaches to phase unwrapping: theoretical study,” IEEE Trans. Sig. Process.48, 2454–2556 (2000).
[CrossRef]

1943 (1)

A. N. Tikhonov, “On the stability of inverse problems,” Doklady Akademii Nauk SSSR39, 195–198 (1943).

Achterhold, K.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Altapova, V.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Anton, G.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Astola, J.

J. Bioucas-Dias, V. Katkovnik, J. Astola, and K. Egiazarian, Multi-frequency Phase Unwrapping from Noisy Data: Adaptive Local Maximum Likelihood Approach, (Academic, 2009), pp. 310–320.

Attwood, D.

D. Attwood, Soft X-rays and Extreme Ultraviolet Radiation (Academic, 2005).

Baldi, A.

Ballabriga, R.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Barber, W. C.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Bartl, P.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Baruchel, J.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

Baumann, J.

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

Baumbach, T.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Bayer, F.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Bech, M.

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. Brnnimann, C. Grnzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Beckmann, F.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

Bevins, N. B.

K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
[CrossRef]

Bioucas-Dias, J.

J. Bioucas-Dias, V. Katkovnik, J. Astola, and K. Egiazarian, Multi-frequency Phase Unwrapping from Noisy Data: Adaptive Local Maximum Likelihood Approach, (Academic, 2009), pp. 310–320.

Born, M.

M. Born and E. Wolf, Principles of Optics (Academic, 1993).

Brnnimann, C.

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

Bruder, J.

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

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]

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

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[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. Lett.2, 258–261 (2006).
[CrossRef]

Campbell, M.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Chang, E.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

Chappo, M.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Chen, C. W.

C. W. Chen and H. A. Zebker, “Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimizatio,” J.Opt. Soc. Am. A18, 338–351 (2001).
[CrossRef]

Chen, G.

K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
[CrossRef]

Cheng, W.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

Cloetens, P.

Colley, J.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

David, C.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (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]

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

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[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. Lett.2, 258–261 (2006).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005).
[CrossRef] [PubMed]

Diaz, A.

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005).
[CrossRef] [PubMed]

Donath, T.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (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]

Durst, J.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Egiazarian, K.

J. Bioucas-Dias, V. Katkovnik, J. Astola, and K. Egiazarian, Multi-frequency Phase Unwrapping from Noisy Data: Adaptive Local Maximum Likelihood Approach, (Academic, 2009), pp. 310–320.

Eikenberry, E. F.

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

Engelhardt, M.

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

Firlit, T.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Gandhi, T.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Ghiglia, D.

D. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Academic, 1998).

Graafsma, H.

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

Grnzweig, C.

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

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

Grund, T.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Haas, W.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

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, 866–868 (2003).
[CrossRef]

Hartsough, N. E.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Harwood, B.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Hattori, T.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[CrossRef]

Heijne, E.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Heng, A.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

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]

Herrmann, C.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

C. Herrmann, R. Steadman, and O. Mulhens, “ChromAIX: Fast energy resolved photon-counting readout electronics for Future Human Computed Tomography,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), pp. 1996–1999.

Herzen, J.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

Hirsemann, H.

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

Hornegger, J.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Iwanczyk, J. S.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Jefimovs, K.

Jerjen, I.

Katkovnik, V.

J. Bioucas-Dias, V. Katkovnik, J. Astola, and K. Egiazarian, Multi-frequency Phase Unwrapping from Noisy Data: Adaptive Local Maximum Likelihood Approach, (Academic, 2009), pp. 310–320.

Kaufmann, R.

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, 866–868 (2003).
[CrossRef]

Kenntner, J.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Kosty, D.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Kottler, C.

I. Jerjen, V. Revol, P. Schuetz, C. Kottler, R. Kaufmann, T. Luethi, K. Jefimovs, C. Urban, and U. Sennhauser, “Reduction of phase artifacts in differential phase contrast computed tomography,” Opt. Express19, 13604–13611 (2011).
[CrossRef] [PubMed]

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[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, 866–868 (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. Brnnimann, C. Grnzweig, and C. David, “Hard-X-ray dark-field imaging using a grating interferometer,” Nature Mater.7, 134–137 (2008).
[CrossRef]

Kwoh, L.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

Lang, S.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

Lange, S.

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

Langer, M.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

Li, K.

K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
[CrossRef]

Lim, H.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

Llopart, X.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Luethi, T.

Luhta, R.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Maeding, D. G.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Malakhov, N.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Meiser, J.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Michel, T.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Mlhens, O.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

Mohr, J.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[CrossRef]

Momose, A.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[CrossRef]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot Interferometry,” Jpn. J. Appl. Phys., 42, 866–868 (2003).
[CrossRef]

Mulhens, O.

C. Herrmann, R. Steadman, and O. Mulhens, “ChromAIX: Fast energy resolved photon-counting readout electronics for Future Human Computed Tomography,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), pp. 1996–1999.

Nico, G.

G. Nico, “Bayesian approaches to phase unwrapping: theoretical study,” IEEE Trans. Sig. Process.48, 2454–2556 (2000).
[CrossRef]

Nygard, E.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Ogurreck, M.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

Pantenburg, F. J.

J. Kenntner, V. Altapova, T. Grund, F. J. Pantenburg, J. Meiser, T. Baumbach, and J. Mohr, “Fabrication and characterization of analyzer gratings with high aspect ratios for phase contrast imaging using a Talbot interferometer,” AIP Conference Proceedings. 1437, 89–93 (2012).
[CrossRef]

Pascazio, V.

V. Pascazio and G. Schirinzi, “Multifrequency InSAR Height Reconstruction Through Maximum Likelihood Estimation of Local Planes Parameters,” IEEE transaction on image processing, 11,(2002).

Pelzer, G.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Pennicard, D.

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

Pfeiffer, F.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (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]

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

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[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. Lett.2, 258–261 (2006).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005).
[CrossRef] [PubMed]

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Pritt, M.

D. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Academic, 1998).

Prmmer, M.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Revol, V.

Ritter, A.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Rohbeck, T.

C. David, J. Bruder, T. Rohbeck, C. Grnzweig, C. Kottler, A. Diaz, O. Bunk, and F. Pfeiffer, “Fabrication of diffraction gratings for hard X-ray phase contrast imaging,” Microelectron. Eng.84, 1172–1177 (2007).
[CrossRef]

Schirinzi, G.

V. Pascazio and G. Schirinzi, “Multifrequency InSAR Height Reconstruction Through Maximum Likelihood Estimation of Local Planes Parameters,” IEEE transaction on image processing, 11,(2002).

Schreyer, A.

J. Herzen, T. Donath, F. Beckmann, M. Ogurreck, C. David, J. Mohr, F. Pfeiffer, and A. Schreyer, “X-ray grating interferometer for materials-science imaging at a low-coherent wiggler source,” Rev. Sci. Instrum.82, 113711 (2011).
[CrossRef] [PubMed]

Schuetz, P.

Schuster, M.

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, “High-resolution differential phase contrast imaging using a magnifying projection geometry with a microfocus X-ray source,” Appl. Phys. Lett.90, 224101 (2007).
[CrossRef]

Sennhauser, U.

Smoljanin, S.

D. Pennicard, S. Lange, S. Smoljanin, H. Hirsemann, and H. Graafsma, “LAMBDA - Large Area Medipix3-Based Detector Array,” JINST7, C11009 (2012).
[CrossRef]

Stampanoni, M.

Steadman, R.

R. Steadman, C. Herrmann, O. Mlhens, D. G. Maeding, J. Colley, T. Firlit, R. Luhta, M. Chappo, B. Harwood, and D. Kosty, “ChromAIX: A high-rate energy-resolving photon-counting ASIC for Spectral Computed Tomography,” Proc. of SPIE7622, 762220 (2010).

C. Herrmann, R. Steadman, and O. Mulhens, “ChromAIX: Fast energy resolved photon-counting readout electronics for Future Human Computed Tomography,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), pp. 1996–1999.

Suzuki, Y.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[CrossRef]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot Interferometry,” Jpn. J. Appl. Phys., 42, 866–868 (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, 866–868 (2003).
[CrossRef]

Takeda, Y.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[CrossRef]

Tikhonov, A. N.

A. N. Tikhonov, “On the stability of inverse problems,” Doklady Akademii Nauk SSSR39, 195–198 (1943).

Tlustos, L.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Urban, C.

Wawrzyniak, G.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Weber, T.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Weitkamp, T.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
[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. Lett.2, 258–261 (2006).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, “X-ray phase imaging with a grating interferometer,” Opt. Express13, 6296–6304 (2005).
[CrossRef] [PubMed]

Wessel, J. C.

W. C. Barber, E. Nygard, J. C. Wessel, N. Malakhov, N. E. Hartsough, T. Gandhi, G. Wawrzyniak, and J. S. Iwanczyk, “Photon-counting energy-resolving CdTe detectors for high-flux X-ray imaging,” in Proceedings of IEEE Conference on Nuclear Science Symposium (IEEE, 2010), 3953–3955.

Willner, M.

W. Haas, M. Bech, P. Bartl, F. Bayer, A. Ritter, T. Weber, G. Pelzer, M. Willner, K. Achterhold, J. Durst, T. Michel, M. Prmmer, F. Pfeiffer, G. Anton, and J. Hornegger, “Phase-Unwrapping of Differential Phase-Contrast Data using Attenuation Information,” Proc. SPIE7962, (2011).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Academic, 1993).

Wong, W.

R. Ballabriga, M. Campbell, E. Heijne, X. Llopart, L. Tlustos, and W. Wong, “Medipix3: A 64k pixel detector readout chip working in single photon counting mode with improved spectrometric performance,” Nucl. Instrum. Meth. A633, 15–18 (2011).
[CrossRef]

Xu, W.

W. Xu, E. Chang, L. Kwoh, H. Lim, W. Cheng, and A. Heng, “Phase-unwrapping of SAR Interferogram with Multi-frequency or Multi-baseline,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium, (IEEE1994), pp. 730–732.

Yashiro, W.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys.45, 5254 (2006).
[CrossRef]

Zambelli, J. N.

K. Li, N. B. Bevins, J. N. Zambelli, and G. Chen, “Feasibility of differential phase contrast CT for whole body imaging,” AIP Conference Proceedings. 1466, 175–180 (2012).
[CrossRef]

Zanette, I.

I. Zanette, T. Weitkamp, S. Lang, M. Langer, J. Mohr, C. David, and J. Baruchel, “Quantitative phase and absorption tomography with an X-ray interferometer and synchrotron radiation,” Phys. Status Solidi208, 2526–2532 (2011).
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