Abstract

The discrete algebraic reconstruction technique (DART) is a tomographic method to reconstruct images from X-ray projections in which prior knowledge on the number of object materials is exploited. In monochromatic X-ray CT (e.g., synchrotron), DART has been shown to lead to high-quality reconstructions, even with a low number of projections or a limited scanning view. However, most X-ray sources are polychromatic, leading to beam hardening effects, which significantly degrade the performance of DART. In this work, we propose a new discrete tomography algorithm, poly-DART, that exploits sparsity in the attenuation values using DART and simultaneously accounts for the polychromatic nature of the X-ray source. The results show that poly-DART leads to a vastly improved segmentation on polychromatic data obtained from Monte Carlo simulations as well as on experimental data, compared to DART.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2019 (1)

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
[Crossref]

2018 (4)

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
[Crossref]

J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
[Crossref]

F. Yang, D. Zhang, K. Huang, Z. Gao, and Y. Yang, “Incomplete projection reconstruction of computed tomography based on the modified discrete algebraic reconstruction technique,” Meas. Sci. Technol. 29(2), 025405 (2018).
[Crossref]

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
[Crossref]

2017 (4)

M. Lee, S. Shin, and Y. Park, “Reconstructions of refractive index tomograms via a discrete algebraic reconstruction technique,” Opt. Express 25(22), 27415–27430 (2017).
[Crossref]

T. Humphries, J. Winn, and A. Faridani, “Superiorized algorithm for reconstruction of CT images from sparse-view and limited-angle polyenergetic data,” Phys. Med. Biol. 62(16), 6762–6783 (2017).
[Crossref]

H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
[Crossref]

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
[Crossref]

2016 (4)

N. Mitroglou, M. Lorenzi, M. Santini, and M. Gavaises, “Application of X-ray micro-computed tomography on high-speed cavitating diesel fuel flows,” Exp. Fluids 57(11), 175 (2016).
[Crossref]

W. van Aarle, W. J. Palenstijn, J. Cant, E. Janssens, F. Bleichrodt, A. Dabravolski, J. De Beenhouwer, K. J. Batenburg, and J. Sijbers, “Fast and flexible X-ray tomography using the ASTRA toolbox,” Opt. Express 24(22), 25129–25147 (2016).
[Crossref]

X. Zhuge, W. J. Palenstijn, and K. J. Batenburg, “TVR-DART: A more robust algorithm for discrete tomography from limited projection data with automated gray value estimation,” IEEE Trans. Image Process. 25(1), 455–468 (2016).
[Crossref]

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
[Crossref]

2015 (2)

M. Santini, M. Guilizzoni, S. Fest-Santini, and M. Lorenzi, “A novel technique for investigation of complete and partial anisotropic wetting on structured surface by X-ray microtomography,” Rev. Sci. Instrum. 86(2), 023708 (2015).
[Crossref]

G. Schena, M. Piller, and M. Zanin, “Discrete X-ray tomographic reconstruction for fast mineral liberation spectrum retrieval,” Int. J. Miner. Process. 145, 1–6 (2015).
[Crossref]

2014 (6)

M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
[Crossref]

M. Santini and M. Guilizzoni, “3D X-ray micro computed tomography on multiphase drop interfaces: From biomimetic to functional applications,” Colloid Interface Sci. Commun. 1, 14–17 (2014).
[Crossref]

A. Dabravolski, K. J. Batenburg, and J. Sijbers, “A multiresolution approach to discrete tomography using DART,” PLoS One 9(9), e106090–10 (2014).
[Crossref]

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
[Crossref]

F. Bleichrodt, F. Tabak, and K. J. Batenburg, “SDART: An algorithm for discrete tomography from noisy projections,” Comp. Vision Image Underst. 129, 63–74 (2014).
[Crossref]

Y. Lin and E. Samei, “An efficient polyenergetic SART (pSART) reconstruction algorithm for quantitative myocardial CT perfusion,” Med. Phys. 41(2), 021911 (2014).
[Crossref]

2013 (2)

H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
[Crossref]

S. Abbas, J. Min, and S. Cho, “Super-sparsely view-sampled cone-beam CT by incorporating prior data,” J. Xray Science and Technology 21, 71–83 (2013).
[Crossref]

2012 (2)

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

W. van Aarle, K. J. Batenburg, and J. Sijbers, “Automatic parameter estimation for the discrete algebraic reconstruction technique (DART),” IEEE Trans. Image Process. 21(11), 4608–4621 (2012).
[Crossref]

2011 (3)

F. J. Maestre-Deusto, G. Scavello, J. Pizarro, and P. L. Galindo, “ADART: An adaptive algebraic reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(8), 2146–2152 (2011).
[Crossref]

K. J. Batenburg and J. Sijbers, “DART: a practical reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(9), 2542–2553 (2011).
[Crossref]

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
[Crossref]

2010 (1)

K. J. Batenburg, J. Sijbers, H. F. Poulsen, and E. Knudsen, “DART: a robust algorithm for fast reconstruction of three-dimensional grain maps,” J. Appl. Crystallogr. 43(6), 1464–1473 (2010).
[Crossref]

2009 (3)

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
[Crossref]

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
[Crossref]

2004 (1)

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

2003 (1)

G. T. Herman and A. Kuba, “Discrete tomography in medical imaging,” Proc. IEEE 91(10), 1612–1626 (2003).
[Crossref]

1984 (1)

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART): A superior implementation of the ART algorithm,” Ultrasonic Imaging 6(1), 81–94 (1984).
[Crossref]

1979 (1)

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man. Cybern. 9(1), 62–66 (1979).
[Crossref]

Abbas, S.

S. Abbas, J. Min, and S. Cho, “Super-sparsely view-sampled cone-beam CT by incorporating prior data,” J. Xray Science and Technology 21, 71–83 (2013).
[Crossref]

Abella, M.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Aerts, A.

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
[Crossref]

Andersen, A. H.

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART): A superior implementation of the ART algorithm,” Ultrasonic Imaging 6(1), 81–94 (1984).
[Crossref]

Assié, K.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Autret, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Avner, S.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Bai, H.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
[Crossref]

Bals, S.

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
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Barbier, R.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Bardiès, M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Batenburg, K. J.

X. Zhuge, W. J. Palenstijn, and K. J. Batenburg, “TVR-DART: A more robust algorithm for discrete tomography from limited projection data with automated gray value estimation,” IEEE Trans. Image Process. 25(1), 455–468 (2016).
[Crossref]

W. van Aarle, W. J. Palenstijn, J. Cant, E. Janssens, F. Bleichrodt, A. Dabravolski, J. De Beenhouwer, K. J. Batenburg, and J. Sijbers, “Fast and flexible X-ray tomography using the ASTRA toolbox,” Opt. Express 24(22), 25129–25147 (2016).
[Crossref]

F. Bleichrodt, F. Tabak, and K. J. Batenburg, “SDART: An algorithm for discrete tomography from noisy projections,” Comp. Vision Image Underst. 129, 63–74 (2014).
[Crossref]

A. Dabravolski, K. J. Batenburg, and J. Sijbers, “A multiresolution approach to discrete tomography using DART,” PLoS One 9(9), e106090–10 (2014).
[Crossref]

H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
[Crossref]

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

W. van Aarle, K. J. Batenburg, and J. Sijbers, “Automatic parameter estimation for the discrete algebraic reconstruction technique (DART),” IEEE Trans. Image Process. 21(11), 4608–4621 (2012).
[Crossref]

K. J. Batenburg and J. Sijbers, “DART: a practical reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(9), 2542–2553 (2011).
[Crossref]

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
[Crossref]

K. J. Batenburg, J. Sijbers, H. F. Poulsen, and E. Knudsen, “DART: a robust algorithm for fast reconstruction of three-dimensional grain maps,” J. Appl. Crystallogr. 43(6), 1464–1473 (2010).
[Crossref]

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
[Crossref]

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

Biermans, E.

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

Bleichrodt, F.

Bloomfield, P. M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Boone, M.

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
[Crossref]

Brabant, L.

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
[Crossref]

Brasse, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Breton, V.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Bruyndonckx, P.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Buvat, I.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Buzug, T. M.

T. M. Buzug, Computed Tomography: From Photon Statistics to Modern Cone-Beam CT (Springer Science & Business Media, 2008).

Cant, J.

Cavalcanti, G. D. C.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
[Crossref]

Chatziioannou, A. F.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Chen, L.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
[Crossref]

Cho, S.

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
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S. Abbas, J. Min, and S. Cho, “Super-sparsely view-sampled cone-beam CT by incorporating prior data,” J. Xray Science and Technology 21, 71–83 (2013).
[Crossref]

Choi, Y.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Chung, Y. H.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Comtat, C.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Coronado, E. A.

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

Dabravolski, A.

De Beenhouwer, J.

de Mey, J.

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
[Crossref]

de Molina, C.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

DeBlois, F.

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
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Defrise, M.

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
[Crossref]

Desco, M.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Dierick, M.

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
[Crossref]

Donnarieix, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Ducros, N.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Encina, E. R.

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

Evans, P. M.

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
[Crossref]

Faridani, A.

T. Humphries, J. Winn, and A. Faridani, “Superiorized algorithm for reconstruction of CT images from sparse-view and limited-angle polyenergetic data,” Phys. Med. Biol. 62(16), 6762–6783 (2017).
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Ferrer, L.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Fest-Santini, S.

M. Santini, M. Guilizzoni, S. Fest-Santini, and M. Lorenzi, “A novel technique for investigation of complete and partial anisotropic wetting on structured surface by X-ray microtomography,” Rev. Sci. Instrum. 86(2), 023708 (2015).
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M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
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Finnilä, M. A. J.

J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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Galindo, P. L.

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K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Ketola, J. H.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
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J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Knisel, V.

M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
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Kohli, V.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Koole, M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Korhonen, R. K.

J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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Krieguer, M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Kroger, H.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
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Kuba, A.

G. T. Herman and A. Kuba, “Discrete tomography in medical imaging,” Proc. IEEE 91(10), 1612–1626 (2003).
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Kübel, C.

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
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Kuebel, C.

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
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Lamare, F.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Landry, G.

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
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Largeron, G.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Lartizien, C.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Lazaro, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Lebedev, O.

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
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Lee, M.

Liang, D.

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
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Liang, Z.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
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H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
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Y. Lin and E. Samei, “An efficient polyenergetic SART (pSART) reconstruction algorithm for quantitative myocardial CT perfusion,” Med. Phys. 41(2), 021911 (2014).
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Liu, G.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
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Liu, J.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
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Lorenzi, M.

N. Mitroglou, M. Lorenzi, M. Santini, and M. Gavaises, “Application of X-ray micro-computed tomography on high-speed cavitating diesel fuel flows,” Exp. Fluids 57(11), 175 (2016).
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M. Santini, M. Guilizzoni, S. Fest-Santini, and M. Lorenzi, “A novel technique for investigation of complete and partial anisotropic wetting on structured surface by X-ray microtomography,” Rev. Sci. Instrum. 86(2), 023708 (2015).
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M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
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H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
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Maas, M. C.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Maestre-Deusto, F. J.

F. J. Maestre-Deusto, G. Scavello, J. Pizarro, and P. L. Galindo, “ADART: An adaptive algebraic reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(8), 2146–2152 (2011).
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Maigne, L.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Martens, J. A.

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Merheb, C.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Midgley, P. A.

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
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S. Abbas, J. Min, and S. Cho, “Super-sparsely view-sampled cone-beam CT by incorporating prior data,” J. Xray Science and Technology 21, 71–83 (2013).
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Mitroglou, N.

N. Mitroglou, M. Lorenzi, M. Santini, and M. Gavaises, “Application of X-ray micro-computed tomography on high-speed cavitating diesel fuel flows,” Exp. Fluids 57(11), 175 (2016).
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Morel, C.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Mory, C.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Nicolai, B.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
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Nieminen, M. T.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
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J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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Nuyts, J.

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
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Otsu, N.

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man. Cybern. 9(1), 62–66 (1979).
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P. J. Abascal, J. F.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Palenstijn, W. J.

X. Zhuge, W. J. Palenstijn, and K. J. Batenburg, “TVR-DART: A more robust algorithm for discrete tomography from limited projection data with automated gray value estimation,” IEEE Trans. Image Process. 25(1), 455–468 (2016).
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W. van Aarle, W. J. Palenstijn, J. Cant, E. Janssens, F. Bleichrodt, A. Dabravolski, J. De Beenhouwer, K. J. Batenburg, and J. Sijbers, “Fast and flexible X-ray tomography using the ASTRA toolbox,” Opt. Express 24(22), 25129–25147 (2016).
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H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
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Park, M.

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
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Park, Y.

Pauwels, E.

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
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Pennacchio, E.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Pereira, L. F. A.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
[Crossref]

Perez, J.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Perilli, E.

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
[Crossref]

Peyrin, F.

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

Pietrzyk, U.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Piller, M.

G. Schena, M. Piller, and M. Zanin, “Discrete X-ray tomographic reconstruction for fast mineral liberation spectrum retrieval,” Int. J. Miner. Process. 145, 1–6 (2015).
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Pizarro, J.

F. J. Maestre-Deusto, G. Scavello, J. Pizarro, and P. L. Galindo, “ADART: An adaptive algebraic reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(8), 2146–2152 (2011).
[Crossref]

Poludniowski, G. G.

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
[Crossref]

Poulsen, H. F.

K. J. Batenburg, J. Sijbers, H. F. Poulsen, and E. Knudsen, “DART: a robust algorithm for fast reconstruction of three-dimensional grain maps,” J. Appl. Crystallogr. 43(6), 1464–1473 (2010).
[Crossref]

Pua, R.

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
[Crossref]

Purisha, Z.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
[Crossref]

Rannou, F. R.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Rey, M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

Reynolds, K. J.

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
[Crossref]

Rimpelainen, J.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
[Crossref]

Roelandts, T.

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

Saarakkala, S.

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
[Crossref]

J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
[Crossref]

Samei, E.

Y. Lin and E. Samei, “An efficient polyenergetic SART (pSART) reconstruction algorithm for quantitative myocardial CT perfusion,” Med. Phys. 41(2), 021911 (2014).
[Crossref]

Santin, G.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Santini, M.

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M. Santini, M. Guilizzoni, S. Fest-Santini, and M. Lorenzi, “A novel technique for investigation of complete and partial anisotropic wetting on structured surface by X-ray microtomography,” Rev. Sci. Instrum. 86(2), 023708 (2015).
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M. Santini and M. Guilizzoni, “3D X-ray micro computed tomography on multiphase drop interfaces: From biomimetic to functional applications,” Colloid Interface Sci. Commun. 1, 14–17 (2014).
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M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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G. Schena, M. Piller, and M. Zanin, “Discrete X-ray tomographic reconstruction for fast mineral liberation spectrum retrieval,” Int. J. Miner. Process. 145, 1–6 (2015).
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S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
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J. H. Hubbell and S. M. Seltzer, “Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients 1 keV to 20 MeV for elements Z = 1 to 92 and 48 additional substances of dosimetric interest,” Tech. rep., National Institute of Standards and Technology-PL, Gaithersburg, MD, United States (1995).

Shin, S.

Sijbers, J.

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
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L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
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W. van Aarle, W. J. Palenstijn, J. Cant, E. Janssens, F. Bleichrodt, A. Dabravolski, J. De Beenhouwer, K. J. Batenburg, and J. Sijbers, “Fast and flexible X-ray tomography using the ASTRA toolbox,” Opt. Express 24(22), 25129–25147 (2016).
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A. Dabravolski, K. J. Batenburg, and J. Sijbers, “A multiresolution approach to discrete tomography using DART,” PLoS One 9(9), e106090–10 (2014).
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H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
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T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
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W. van Aarle, K. J. Batenburg, and J. Sijbers, “Automatic parameter estimation for the discrete algebraic reconstruction technique (DART),” IEEE Trans. Image Process. 21(11), 4608–4621 (2012).
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K. J. Batenburg and J. Sijbers, “DART: a practical reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(9), 2542–2553 (2011).
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G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
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K. J. Batenburg, J. Sijbers, H. F. Poulsen, and E. Knudsen, “DART: a robust algorithm for fast reconstruction of three-dimensional grain maps,” J. Appl. Crystallogr. 43(6), 1464–1473 (2010).
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K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
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Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
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J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
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Simon, L.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Song, T. Y.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Staelens, S.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Strul, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Tabak, F.

F. Bleichrodt, F. Tabak, and K. J. Batenburg, “SDART: An algorithm for discrete tomography from noisy projections,” Comp. Vision Image Underst. 129, 63–74 (2014).
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Tian, Y.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
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Tsang, I. R.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
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van Aarle, W.

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
[Crossref]

W. van Aarle, W. J. Palenstijn, J. Cant, E. Janssens, F. Bleichrodt, A. Dabravolski, J. De Beenhouwer, K. J. Batenburg, and J. Sijbers, “Fast and flexible X-ray tomography using the ASTRA toolbox,” Opt. Express 24(22), 25129–25147 (2016).
[Crossref]

W. van Aarle, K. J. Batenburg, and J. Sijbers, “Automatic parameter estimation for the discrete algebraic reconstruction technique (DART),” IEEE Trans. Image Process. 21(11), 4608–4621 (2012).
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Van Dael, M.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
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Van de Casteele, E.

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
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Van de Walle, R.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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van der Laan, D. J.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Van Gompel, G.

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
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Van Hoorebeke, L.

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
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Van Slambrouck, K.

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
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Van Tendeloo, G.

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
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K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
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Verboven, P.

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
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Verhaegen, F.

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
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Vieira, J. M.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Visvikis, D.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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Wang, J.

H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
[Crossref]

Wei, W.

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
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Wi, S.

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
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Wieërs, E.

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
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T. Humphries, J. Winn, and A. Faridani, “Superiorized algorithm for reconstruction of CT images from sparse-view and limited-angle polyenergetic data,” Phys. Med. Biol. 62(16), 6762–6783 (2017).
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Yang, F.

F. Yang, D. Zhang, K. Huang, Z. Gao, and Y. Yang, “Incomplete projection reconstruction of computed tomography based on the modified discrete algebraic reconstruction technique,” Meas. Sci. Technol. 29(2), 025405 (2018).
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Yang, Y.

F. Yang, D. Zhang, K. Huang, Z. Gao, and Y. Yang, “Incomplete projection reconstruction of computed tomography based on the modified discrete algebraic reconstruction technique,” Meas. Sci. Technol. 29(2), 025405 (2018).
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Zanin, M.

G. Schena, M. Piller, and M. Zanin, “Discrete X-ray tomographic reconstruction for fast mineral liberation spectrum retrieval,” Int. J. Miner. Process. 145, 1–6 (2015).
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Zeng, D.

H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
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Zhang, D.

F. Yang, D. Zhang, K. Huang, Z. Gao, and Y. Yang, “Incomplete projection reconstruction of computed tomography based on the modified discrete algebraic reconstruction technique,” Meas. Sci. Technol. 29(2), 025405 (2018).
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Zhang, H.

H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
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H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
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Zhuge, X.

X. Zhuge, W. J. Palenstijn, and K. J. Batenburg, “TVR-DART: A more robust algorithm for discrete tomography from limited projection data with automated gray value estimation,” IEEE Trans. Image Process. 25(1), 455–468 (2016).
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Colloid Interface Sci. Commun. (1)

M. Santini and M. Guilizzoni, “3D X-ray micro computed tomography on multiphase drop interfaces: From biomimetic to functional applications,” Colloid Interface Sci. Commun. 1, 14–17 (2014).
[Crossref]

Comp. Vision Image Underst. (1)

F. Bleichrodt, F. Tabak, and K. J. Batenburg, “SDART: An algorithm for discrete tomography from noisy projections,” Comp. Vision Image Underst. 129, 63–74 (2014).
[Crossref]

Comput. Electron. Agric. (1)

L. F. A. Pereira, E. Janssens, G. D. C. Cavalcanti, I. R. Tsang, M. Van Dael, P. Verboven, B. Nicolai, and J. Sijbers, “Inline discrete tomography system: Application to agricultural product inspection,” Comput. Electron. Agric. 138, 117–126 (2017).
[Crossref]

Exp. Fluids (1)

N. Mitroglou, M. Lorenzi, M. Santini, and M. Gavaises, “Application of X-ray micro-computed tomography on high-speed cavitating diesel fuel flows,” Exp. Fluids 57(11), 175 (2016).
[Crossref]

Fundam. Inform. (1)

H. Segers, W. J. Palenstijn, K. J. Batenburg, and J. Sijbers, “Discrete Tomography in MRI: a Simulation Study,” Fundam. Inform. 125, 223–237 (2013).
[Crossref]

IEEE Trans. Image Process. (4)

W. van Aarle, K. J. Batenburg, and J. Sijbers, “Automatic parameter estimation for the discrete algebraic reconstruction technique (DART),” IEEE Trans. Image Process. 21(11), 4608–4621 (2012).
[Crossref]

F. J. Maestre-Deusto, G. Scavello, J. Pizarro, and P. L. Galindo, “ADART: An adaptive algebraic reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(8), 2146–2152 (2011).
[Crossref]

X. Zhuge, W. J. Palenstijn, and K. J. Batenburg, “TVR-DART: A more robust algorithm for discrete tomography from limited projection data with automated gray value estimation,” IEEE Trans. Image Process. 25(1), 455–468 (2016).
[Crossref]

K. J. Batenburg and J. Sijbers, “DART: a practical reconstruction algorithm for discrete tomography,” IEEE Trans. Image Process. 20(9), 2542–2553 (2011).
[Crossref]

IEEE Trans. Med. Imaging (1)

Z. Purisha, S. S. Karhula, J. H. Ketola, J. Rimpelainen, M. T. Nieminen, S. Saarakkala, H. Kroger, and S. Siltanen, “An Automatic Regularization Method: An Application for 3-D X-Ray Micro-CT Reconstruction Using Sparse Data,” IEEE Trans. Med. Imaging 38(2), 417–425 (2019).
[Crossref]

IEEE Trans. Syst. Man. Cybern. (1)

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man. Cybern. 9(1), 62–66 (1979).
[Crossref]

Int. J. Miner. Process. (1)

G. Schena, M. Piller, and M. Zanin, “Discrete X-ray tomographic reconstruction for fast mineral liberation spectrum retrieval,” Int. J. Miner. Process. 145, 1–6 (2015).
[Crossref]

J. Am. Chem. Soc. (1)

S. Bals, K. J. Batenburg, D. Liang, O. Lebedev, G. Van Tendeloo, A. Aerts, J. A. Martens, and C. E. Kirschhock, “Quantitative three-dimensional modeling of zeotile through discrete electron tomography,” J. Am. Chem. Soc. 131(13), 4769–4773 (2009).
[Crossref]

J. Appl. Crystallogr. (1)

K. J. Batenburg, J. Sijbers, H. F. Poulsen, and E. Knudsen, “DART: a robust algorithm for fast reconstruction of three-dimensional grain maps,” J. Appl. Crystallogr. 43(6), 1464–1473 (2010).
[Crossref]

J. Bone Miner. Metab. (1)

E. Van de Casteele, E. Perilli, W. van Aarle, K. J. Reynolds, and J. Sijbers, “Discrete tomography in an in vivo small animal bone study,” J. Bone Miner. Metab. 36(1), 40–53 (2018).
[Crossref]

J. Phys.: Conf. Ser. (1)

M. Guilizzoni, M. Santini, M. Lorenzi, V. Knisel, and S. Fest-Santini, “Micro computed tomography and CFD simulation of drop deposition on gas diffusion layers,” J. Phys.: Conf. Ser. 547, 012028 (2014).
[Crossref]

J. Synchrotron Radiat. (1)

J. Liu, Z. Liang, Y. Guan, W. Wei, H. Bai, L. Chen, G. Liu, and Y. Tian, “A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the missing wedge situation,” J. Synchrotron Radiat. 25(6), 1847–1859 (2018).
[Crossref]

J. X-Ray Sci. Technol. (1)

L. Brabant, M. Dierick, E. Pauwels, M. Boone, and L. Van Hoorebeke, “EDART, a discrete algebraic reconstructing technique for experimental data obtained with high resolution computed tomography,” J. X-Ray Sci. Technol. 22, 47–61 (2014).
[Crossref]

J. Xray Science and Technology (1)

S. Abbas, J. Min, and S. Cho, “Super-sparsely view-sampled cone-beam CT by incorporating prior data,” J. Xray Science and Technology 21, 71–83 (2013).
[Crossref]

Meas. Sci. Technol. (1)

F. Yang, D. Zhang, K. Huang, Z. Gao, and Y. Yang, “Incomplete projection reconstruction of computed tomography based on the modified discrete algebraic reconstruction technique,” Meas. Sci. Technol. 29(2), 025405 (2018).
[Crossref]

Med. Phys. (3)

Y. Lin and E. Samei, “An efficient polyenergetic SART (pSART) reconstruction algorithm for quantitative myocardial CT perfusion,” Med. Phys. 41(2), 021911 (2014).
[Crossref]

H. Zhang, D. Zeng, H. Zhang, J. Wang, Z. Liang, and J. Ma, “Applications of nonlocal means algorithm in low-dose X-ray CT image processing and reconstruction: A review,” Med. Phys. 44(3), 1168–1185 (2017).
[Crossref]

G. Van Gompel, K. Van Slambrouck, M. Defrise, K. J. Batenburg, J. de Mey, J. Sijbers, and J. Nuyts, “Iterative correction of beam hardening artifacts in CT,” Med. Phys. 38(S1), S36–S49 (2011).
[Crossref]

Nucl. Instrum. Methods Phys. Res., Sect. A (1)

R. Pua, M. Park, S. Wi, and S. Cho, “A pseudo-discrete algebraic reconstruction technique (PDART) prior image-based suppression of high density artifacts in computed tomography,” Nucl. Instrum. Methods Phys. Res., Sect. A 840, 42–50 (2016).
[Crossref]

Opt. Express (2)

Phys. Med. Biol. (3)

T. Humphries, J. Winn, and A. Faridani, “Superiorized algorithm for reconstruction of CT images from sparse-view and limited-angle polyenergetic data,” Phys. Med. Biol. 62(16), 6762–6783 (2017).
[Crossref]

S. Jan, G. Santin, D. Strul, S. Staelens, K. Assié, D. Autret, S. Avner, R. Barbier, M. Bardiès, P. M. Bloomfield, D. Brasse, V. Breton, P. Bruyndonckx, I. Buvat, A. F. Chatziioannou, Y. Choi, Y. H. Chung, C. Comtat, D. Donnarieix, L. Ferrer, S. J. Glick, C. J. Groiselle, D. Guez, P. F. Honore, S. Kerhoas-Cavata, A. S. Kirov, V. Kohli, M. Koole, M. Krieguer, D. J. van der Laan, F. Lamare, G. Largeron, C. Lartizien, D. Lazaro, M. C. Maas, L. Maigne, F. Mayet, F. Melot, C. Merheb, E. Pennacchio, J. Perez, U. Pietrzyk, F. R. Rannou, M. Rey, D. R. Schaart, C. R. Schmidtlein, L. Simon, T. Y. Song, J. M. Vieira, D. Visvikis, R. Van de Walle, E. Wieërs, and C. Morel, “GATE: A simulation toolkit for PET and SPECT,” Phys. Med. Biol. 49(19), 4543–4561 (2004).
[Crossref]

G. G. Poludniowski, G. Landry, F. DeBlois, P. M. Evans, and F. Verhaegen, “SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes,” Phys. Med. Biol. 54(19), N433–N438 (2009).
[Crossref]

PLoS One (1)

A. Dabravolski, K. J. Batenburg, and J. Sijbers, “A multiresolution approach to discrete tomography using DART,” PLoS One 9(9), e106090–10 (2014).
[Crossref]

Proc. IEEE (1)

G. T. Herman and A. Kuba, “Discrete tomography in medical imaging,” Proc. IEEE 91(10), 1612–1626 (2003).
[Crossref]

Rev. Sci. Instrum. (1)

M. Santini, M. Guilizzoni, S. Fest-Santini, and M. Lorenzi, “A novel technique for investigation of complete and partial anisotropic wetting on structured surface by X-ray microtomography,” Rev. Sci. Instrum. 86(2), 023708 (2015).
[Crossref]

Sci. Rep. (1)

J. H. Ketola, S. S. Karhula, M. A. J. Finnilä, R. K. Korhonen, W. Herzog, S. Siltanen, M. T. Nieminen, and S. Saarakkala, “Iterative and discrete reconstruction in the evaluation of the rabbit model of osteoarthritis,” Sci. Rep. 8(1), 12051 (2018).
[Crossref]

Ultramicroscopy (2)

K. J. Batenburg, S. Bals, J. Sijbers, C. Kübel, P. A. Midgley, J. C. Hernandez, U. Kaiser, E. R. Encina, E. A. Coronado, and G. Van Tendeloo, “3D imaging of nanomaterials by discrete tomography,” Ultramicroscopy 109(6), 730–740 (2009).
[Crossref]

T. Roelandts, K. J. Batenburg, E. Biermans, C. Kuebel, S. Bals, and J. Sijbers, “Accurate segmentation of dense nanoparticles by partially discrete electron tomography,” Ultramicroscopy 114, 96–105 (2012).
[Crossref]

Ultrasonic Imaging (1)

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART): A superior implementation of the ART algorithm,” Ultrasonic Imaging 6(1), 81–94 (1984).
[Crossref]

Other (3)

T. M. Buzug, Computed Tomography: From Photon Statistics to Modern Cone-Beam CT (Springer Science & Business Media, 2008).

J. H. Hubbell and S. M. Seltzer, “Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients 1 keV to 20 MeV for elements Z = 1 to 92 and 48 additional substances of dosimetric interest,” Tech. rep., National Institute of Standards and Technology-PL, Gaithersburg, MD, United States (1995).

J. F. P. J. Abascal, M. Abella, C. Mory, N. Ducros, C. de Molina, E. Marinetto, F. Peyrin, and M. Desco, “Sparse reconstruction methods in X-ray CT,” Proc. SPIE.10391, 1039112 (2017).

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Figures (9)

Fig. 1.
Fig. 1. Flowchart for the poly-DART algorithm.
Fig. 2.
Fig. 2. The Pie (a) and Derenzo (b) phantom, as well as the employed X-ray spectrum (c).
Fig. 3.
Fig. 3. Barbapapa phantom used to generate the experimental dataset. The phantom is a smoothly shaped Plexiglass object, with three inserted aluminum rods and two air columns.
Fig. 4.
Fig. 4. Plots showing the change in error by varying (a) number of iterations and (b) number of projection angles on the simulated Pie phantom.
Fig. 5.
Fig. 5. Comparison of the different reconstruction techniques with 40 projection angles on the simulated Pie phantom.
Fig. 6.
Fig. 6. Plots showing the influence of noise on the reconstruction error for the simulated Pie phantom.
Fig. 7.
Fig. 7. Comparison of the different reconstruction techniques on the Derenzo phantom. Techniques in the columns from left to right: SIRT, SIRT segmented, DART, pSIRT, pSIRT segmented and poly-DART. (a-f) 300 projections, (g-l) 50 projections, (m-r) 25 projections.
Fig. 8.
Fig. 8. Plots of the effect of varying number of projection angles (a) and a missing wedge in the projection data (b) on the rNMP for the experimental dataset.
Fig. 9.
Fig. 9. Comparison of the different reconstruction techniques with 40 projection angles of the experimental data.

Equations (7)

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

I ( r ) = I 0 exp ( L r μ ( x ) d x ) ,
I ( r , ϵ ) = I 0 ϵ m i n ϵ m a x D ( ϵ ) S ( ϵ ) exp ( L r μ ( x , ϵ ) d x ) d ϵ ,
P ^ L r = e = 1 E w ( e ) exp ( m = 1 M l r , m μ m ( e ) ) .
p o l y P r o j ( V ) r = log ( P ^ L r e = 1 E w ( e ) ) ,
V ( k + 1 ) = V ( k ) C A R ( A V ( k ) s ) ,
t v = μ m + 1 t v μ m + 1 μ m μ m + t v μ m μ m + 1 μ m μ m + 1 .
V ( k + 1 ) = V ( k ) λ C A R ( p o l y P r o j ( V ( k ) ) s ) .

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