T. dos Santos Rolo, A. Ershov, T. van de Kamp, and T. Baumbach, “In vivo X-ray cine-tomography for tracking
morphological dynamics,” Proc. Natl. Acad. Sci.
USA 111, 3921–3926 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
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[Crossref]
[PubMed]

Y. Hu and M. Jacob, “Higher degree total variation (HDTV)
regularization for image recovery,” IEEE Trans.
Image Process. 21, 2559–2571 (2012).

[Crossref]
[PubMed]

T. L. Jensen, J. H. Jørgensen, P. C. Hansen, and S. H. Jensen, “Implementation of an optimal first-order method
for strongly convex total variation regularization,” BIT 52, 329–356 (2012).

[Crossref]

S. Becker, J. Bobin, and E. Candès, “NESTA: a fast and accurate first-order method
for sparse recovery,” SIAM J. Imaging Sci. 4, 1–39 (2011).

[Crossref]

T. van de Kamp, P. Vagovič, T. Baumbach, and A. Riedel, “A biological screw in a beetle’s
leg,” Science 333, 52 (2011).

[Crossref]

J. Moosmann, R. Hofmann, and T. Baumbach, “Single-distance phase retrieval at large phase
shifts,” Opt. Express 19, 12066–12073 (2011).

[Crossref]
[PubMed]

R. Hofmann, J. Moosmann, and T. Baumbach, “Criticality in single-distance phase
retrieval,” Opt. Express 19, 25881–25890 (2011).

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[Crossref]

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problems,” SIAM J. Imaging Sci. 2, 323–343 (2009).

[Crossref]

E. Esser, “Applications of Lagrangian-based alternating
direction methods and connections to split Bregman,” CAM Report 9, 31 (2009).

Z. Wang and A. C. Bovik, “Mean squared error: love it or leave it? A new
look at signal fidelity measures,” IEEE Signal Proc.
Mag. 26, 98–117 (2009).

[Crossref]

Y. Wang, J. Yang, W. Yin, and Y. Zhang, “A new alternating minimization algorithm for
total variation image reconstruction,” SIAM J.
Imaging Sci. 1, 248–272 (2008).

[Crossref]

E. Y. Sidky and X. Pan, “Image reconstruction in circular cone-beam
computed tomography by constrained, total-variation
minimization,” Phys. Med. Biol. 53, 4777–4807 (2008).

[Crossref]
[PubMed]

J. M. Bioucas-Dias and M. A. T. Figueiredo, “A new TwIST: two-step iterative shrinkage /
thresholding algorithms for image restoration,” IEEE
Trans. Image Process. 16, 2992–3004 (2007).

[Crossref]
[PubMed]

J. Song, Q. Liu, G. A. Johnson, and C. T. Badea, “Sparseness prior based iterative image
reconstruction for retrospectively gated cardiac micro-CT,” Med. Phys. 34, 4476–4483 (2007).

[Crossref]
[PubMed]

M. Lustig, D. Donoho, and J. M. Pauly, “Sparse MRI: the application of compressed
sensing for rapid MR imaging,” Magn. Reson.
Med. 58, 1182–1195 (2007).

[Crossref]
[PubMed]

E. Y. Sidky, C. Kao, and X. Pan, “Accurate image reconstruction from few-views
and limited-angle data in divergent-beam CT,” J.
X-ray Sci. Technol. 14, 119–139 (2006).

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal
reconstruction from highly incomplete frequency
information,” IEEE Trans. Inform. Theory 52, 489–509 (2006).

[Crossref]

W. W. Hager and H. Zhang, “A survey of nonlinear conjugate gradient
methods,” Pac. J. Optim. 2, 35–58 (2006).

T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent developments in total variation image
restoration,” Mathematical Models of Computer
Vision 2005,17 (2005).

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility
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[Crossref]

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[Crossref]

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[Crossref]
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Gleichungen,” Bulletin International de l’Academie
Polonaise des Sciences et des Lettres 35, 355–357 (1937).

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

J. Song, Q. Liu, G. A. Johnson, and C. T. Badea, “Sparseness prior based iterative image
reconstruction for retrospectively gated cardiac micro-CT,” Med. Phys. 34, 4476–4483 (2007).

[Crossref]
[PubMed]

T. dos Santos Rolo, A. Ershov, T. van de Kamp, and T. Baumbach, “In vivo X-ray cine-tomography for tracking
morphological dynamics,” Proc. Natl. Acad. Sci.
USA 111, 3921–3926 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

T. van de Kamp, P. Vagovič, T. Baumbach, and A. Riedel, “A biological screw in a beetle’s
leg,” Science 333, 52 (2011).

[Crossref]

R. Hofmann, J. Moosmann, and T. Baumbach, “Criticality in single-distance phase
retrieval,” Opt. Express 19, 25881–25890 (2011).

[Crossref]

J. Moosmann, R. Hofmann, and T. Baumbach, “Single-distance phase retrieval at large phase
shifts,” Opt. Express 19, 12066–12073 (2011).

[Crossref]
[PubMed]

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

A. Beck and M. Teboulle, “A fast iterative shrinkage-thresholding
algorithm for linear inverse problems,” SIAM J.
Imaging Sci. 2, 183–202 (2009).

[Crossref]

S. Becker, J. Bobin, and E. Candès, “NESTA: a fast and accurate first-order method
for sparse recovery,” SIAM J. Imaging Sci. 4, 1–39 (2011).

[Crossref]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for
three-dimensional electron microscopy and X-ray
photography,” J. Theor. Biol. 29, 471–481 (1970).

[Crossref]
[PubMed]

J. M. Bioucas-Dias and M. A. T. Figueiredo, “A new TwIST: two-step iterative shrinkage /
thresholding algorithms for image restoration,” IEEE
Trans. Image Process. 16, 2992–3004 (2007).

[Crossref]
[PubMed]

S. Becker, J. Bobin, and E. Candès, “NESTA: a fast and accurate first-order method
for sparse recovery,” SIAM J. Imaging Sci. 4, 1–39 (2011).

[Crossref]

Z. Wang and A. C. Bovik, “Mean squared error: love it or leave it? A new
look at signal fidelity measures,” IEEE Signal Proc.
Mag. 26, 98–117 (2009).

[Crossref]

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility
to structural similarity,” IEEE Trans. Image
Process. 13, 600–612 (2004).

[Crossref]
[PubMed]

D. Calvetti, S. Morigi, L. Reichel, and F. Sgallari, “Tikhonov regularization and the L-curve for
large discrete ill-posed problems,” J. Comput. Appl.
Math. 123, 423–446 (2000).

[Crossref]

S. Becker, J. Bobin, and E. Candès, “NESTA: a fast and accurate first-order method
for sparse recovery,” SIAM J. Imaging Sci. 4, 1–39 (2011).

[Crossref]

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal
reconstruction from highly incomplete frequency
information,” IEEE Trans. Inform. Theory 52, 489–509 (2006).

[Crossref]

T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent developments in total variation image
restoration,” Mathematical Models of Computer
Vision 2005,17 (2005).

P. T. Lauzier, J. Tang, and G. Chen, “Prior image constrained compressed sensing:
Implementation and performance evaluation,” Med.
Phys. 39, 66–80 (2012).

[Crossref]
[PubMed]

Y. Dai and Y. Yuan, “A nonlinear conjugate gradient method with a
strong global convergence property,” SIAM J.
Optimiz. 10, 177–182 (1999).

[Crossref]

M. Lustig, D. Donoho, and J. M. Pauly, “Sparse MRI: the application of compressed
sensing for rapid MR imaging,” Magn. Reson.
Med. 58, 1182–1195 (2007).

[Crossref]
[PubMed]

T. dos Santos Rolo, A. Ershov, T. van de Kamp, and T. Baumbach, “In vivo X-ray cine-tomography for tracking
morphological dynamics,” Proc. Natl. Acad. Sci.
USA 111, 3921–3926 (2014).

[Crossref]
[PubMed]

X. Yang, T. Jejkal, H. Pasic, R. Stotzka, A. Streit, J. van Wezel, and T. dos Santos Rolo, “Data intensive computing of X-ray computed tomography
reconstruction at the LSDF,” in “21st Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP),” (IEEE, 2013), pp. 86–93.

T. dos Santos Rolo, A. Ershov, T. van de Kamp, and T. Baumbach, “In vivo X-ray cine-tomography for tracking
morphological dynamics,” Proc. Natl. Acad. Sci.
USA 111, 3921–3926 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent developments in total variation image
restoration,” Mathematical Models of Computer
Vision 2005,17 (2005).

E. Esser, “Applications of Lagrangian-based alternating
direction methods and connections to split Bregman,” CAM Report 9, 31 (2009).

J. M. Bioucas-Dias and M. A. T. Figueiredo, “A new TwIST: two-step iterative shrinkage /
thresholding algorithms for image restoration,” IEEE
Trans. Image Process. 16, 2992–3004 (2007).

[Crossref]
[PubMed]

M. Fukushima, “Application of the alternating direction method
of multipliers to separable convex programming problems,” Comput. Optim. Appl. 1, 93–111 (1992).

[Crossref]

T. Goldstein and S. Osher, “The split Bregman method for L1-regularized
problems,” SIAM J. Imaging Sci. 2, 323–343 (2009).

[Crossref]

T. Goldstein, B. O’Donoghue, and S. Setzer, “Fast alternating direction optimization
methods,” CAM report pp. 12–35 (2012).

G. H. Golub, M. Heath, and G. Wahba, “Generalized cross-validation as a method for
choosing a good ridge parameter,” Technometrics 21, 215–223 (1979).

[Crossref]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for
three-dimensional electron microscopy and X-ray
photography,” J. Theor. Biol. 29, 471–481 (1970).

[Crossref]
[PubMed]

W. W. Hager and H. Zhang, “A survey of nonlinear conjugate gradient
methods,” Pac. J. Optim. 2, 35–58 (2006).

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

T. L. Jensen, J. H. Jørgensen, P. C. Hansen, and S. H. Jensen, “Implementation of an optimal first-order method
for strongly convex total variation regularization,” BIT 52, 329–356 (2012).

[Crossref]

P. C. Hansen and D. P. O’Leary, “The use of the L-curve in the regularization of
discrete ill-posed problems,” SIAM J. Sci.
Comput. 14, 1487–1503 (1993).

[Crossref]

G. H. Golub, M. Heath, and G. Wahba, “Generalized cross-validation as a method for
choosing a good ridge parameter,” Technometrics 21, 215–223 (1979).

[Crossref]

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for
three-dimensional electron microscopy and X-ray
photography,” J. Theor. Biol. 29, 471–481 (1970).

[Crossref]
[PubMed]

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

R. Hofmann, J. Moosmann, and T. Baumbach, “Criticality in single-distance phase
retrieval,” Opt. Express 19, 25881–25890 (2011).

[Crossref]

J. Moosmann, R. Hofmann, and T. Baumbach, “Single-distance phase retrieval at large phase
shifts,” Opt. Express 19, 12066–12073 (2011).

[Crossref]
[PubMed]

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
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Image Process. 21, 2559–2571 (2012).

[Crossref]
[PubMed]

Y. Hu and M. Jacob, “Higher degree total variation (HDTV)
regularization for image recovery,” IEEE Trans.
Image Process. 21, 2559–2571 (2012).

[Crossref]
[PubMed]

X. Yang, T. Jejkal, H. Pasic, R. Stotzka, A. Streit, J. van Wezel, and T. dos Santos Rolo, “Data intensive computing of X-ray computed tomography
reconstruction at the LSDF,” in “21st Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP),” (IEEE, 2013), pp. 86–93.

T. L. Jensen, J. H. Jørgensen, P. C. Hansen, and S. H. Jensen, “Implementation of an optimal first-order method
for strongly convex total variation regularization,” BIT 52, 329–356 (2012).

[Crossref]

T. L. Jensen, J. H. Jørgensen, P. C. Hansen, and S. H. Jensen, “Implementation of an optimal first-order method
for strongly convex total variation regularization,” BIT 52, 329–356 (2012).

[Crossref]

J. Song, Q. Liu, G. A. Johnson, and C. T. Badea, “Sparseness prior based iterative image
reconstruction for retrospectively gated cardiac micro-CT,” Med. Phys. 34, 4476–4483 (2007).

[Crossref]
[PubMed]

T. L. Jensen, J. H. Jørgensen, P. C. Hansen, and S. H. Jensen, “Implementation of an optimal first-order method
for strongly convex total variation regularization,” BIT 52, 329–356 (2012).

[Crossref]

S. Kaczmarz, “Angenäherte Auflösung von Systemen Linearer
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[Crossref]

E. Y. Sidky, C. Kao, and X. Pan, “Accurate image reconstruction from few-views
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X-ray Sci. Technol. 14, 119–139 (2006).

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

P. T. Lauzier, J. Tang, and G. Chen, “Prior image constrained compressed sensing:
Implementation and performance evaluation,” Med.
Phys. 39, 66–80 (2012).

[Crossref]
[PubMed]

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J. Song, Q. Liu, G. A. Johnson, and C. T. Badea, “Sparseness prior based iterative image
reconstruction for retrospectively gated cardiac micro-CT,” Med. Phys. 34, 4476–4483 (2007).

[Crossref]
[PubMed]

M. Lustig, D. Donoho, and J. M. Pauly, “Sparse MRI: the application of compressed
sensing for rapid MR imaging,” Magn. Reson.
Med. 58, 1182–1195 (2007).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “Time-lapse X-ray phase-contrast microtomography
for in vivo imaging and analysis of morphogenesis,” Nat. Protoc. 9, 294–304 (2014).

[Crossref]
[PubMed]

J. Moosmann, A. Ershov, V. Altapova, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, “X-ray phase-contrast in vivo microtomography
probes new aspects of Xenopus gastrulation,” Nature 497, 374–377 (2013).

[Crossref]
[PubMed]

R. Hofmann, J. Moosmann, and T. Baumbach, “Criticality in single-distance phase
retrieval,” Opt. Express 19, 25881–25890 (2011).

[Crossref]

J. Moosmann, R. Hofmann, and T. Baumbach, “Single-distance phase retrieval at large phase
shifts,” Opt. Express 19, 12066–12073 (2011).

[Crossref]
[PubMed]

R. Hofmann, A. Schober, J. Moosmann, M. Hertel, S. Hahn, V. Weinhardt, D. Hänschke, L. Helfen, X. Xiao, and T. Baumbach, “Single-distance livecell imaging with
propagation-based X-ray phase contrast,” to be submitted.

D. Calvetti, S. Morigi, L. Reichel, and F. Sgallari, “Tikhonov regularization and the L-curve for
large discrete ill-posed problems,” J. Comput. Appl.
Math. 123, 423–446 (2000).

[Crossref]

V. A. Morozov, “On the solution of functional equations by the
method of regularization,” “Soviet Math.
Dokl,”, 7, pp. 414–417 (1966.

T. Goldstein, B. O’Donoghue, and S. Setzer, “Fast alternating direction optimization
methods,” CAM report pp. 12–35 (2012).

P. C. Hansen and D. P. O’Leary, “The use of the L-curve in the regularization of
discrete ill-posed problems,” SIAM J. Sci.
Comput. 14, 1487–1503 (1993).

[Crossref]

T. Goldstein and S. Osher, “The split Bregman method for L1-regularized
problems,” SIAM J. Imaging Sci. 2, 323–343 (2009).

[Crossref]

E. Y. Sidky and X. Pan, “Image reconstruction in circular cone-beam
computed tomography by constrained, total-variation
minimization,” Phys. Med. Biol. 53, 4777–4807 (2008).

[Crossref]
[PubMed]

E. Y. Sidky, C. Kao, and X. Pan, “Accurate image reconstruction from few-views
and limited-angle data in divergent-beam CT,” J.
X-ray Sci. Technol. 14, 119–139 (2006).

T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent developments in total variation image
restoration,” Mathematical Models of Computer
Vision 2005,17 (2005).

X. Yang, T. Jejkal, H. Pasic, R. Stotzka, A. Streit, J. van Wezel, and T. dos Santos Rolo, “Data intensive computing of X-ray computed tomography
reconstruction at the LSDF,” in “21st Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP),” (IEEE, 2013), pp. 86–93.

M. Lustig, D. Donoho, and J. M. Pauly, “Sparse MRI: the application of compressed
sensing for rapid MR imaging,” Magn. Reson.
Med. 58, 1182–1195 (2007).

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