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[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

S. H. Izen, “Sampling in flat detector fan beam tomography,” SIAM J. Appl. Math. 72, 61–84 (2012).

[Crossref]

J. W. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. L. Prince, and J. H. Siewerdsen, “Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties,” Proc. SPIE 7961, 79611L (2011).

[Crossref]

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[Crossref]

K. Choi and D. J. Brady, “Coded aperture computed tomography,” Proc. SPIE 7468, 74680B (2009).

[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

E. Hansis, D. Schafer, O. Dossel, and M. Grass, “Evaluation of iterative sparse object reconstruction from few projections for 3-D rotational coronary angiography,” IEEE Trans. Med. Imaging 27, 1548–1555 (2008).

[Crossref]

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

[Crossref]

G. H. Chen, J. Tang, and S. H. Leng, “Prior image constrained compressed sensing: a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets,” Med. Phys. 35, 660–663 (2008).

[Crossref]

D. J. Crotty, R. L. McKinley, and M. P. Tornai, “Experimental spectral measurements of heavy k-edge filtered beams for x-ray computed mammotomography,” Phys. Med. Biol. 52, 603–616 (2007).

[Crossref]

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[Crossref]

J. A. O’Sullivan and J. Benac, “Alternating minimization algorithms for transmission tomography,” IEEE Trans. Med. Imaging 26, 283–297 (2007).

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[Crossref]

D. L. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory 52, 1289–1306 (2006).

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[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

J. A. O’Sullivan and J. Benac, “Alternating minimization algorithms for transmission tomography,” IEEE Trans. Med. Imaging 26, 283–297 (2007).

[Crossref]

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K. Choi, J. Wang, L. Zhu, T. S. Suh, S. Boyd, and L. Xing, “Compressed sensing based cone-beam computed tomography reconstruction with a first-order method,” Med. Phys. 37, 5113–5125 (2010).

[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

K. P. MacCabe, A. D. Holmgren, M. P. Tornai, and D. J. Brady, “Snapshot 2D tomography via coded aperture x-ray scatter imaging,” Appl. Opt. 52, 4582–4589 (2013).

[Crossref]

J. Hahn, S. Lim, K. Choi, R. Horisaki, and D. J. Brady, “Video-rate compressive holographic microscopic tomography,” Opt. Express 19, 7289–7298 (2011).

[Crossref]

A. A. Wagadarikar, N. P. Pitsianis, X. Sun, and D. J. Brady, “Video rate spectral imaging using a coded aperture snapshot spectral imager,” Opt. Express 17, 6368–6388 (2009).

[Crossref]

K. Choi and D. J. Brady, “Coded aperture computed tomography,” Proc. SPIE 7468, 74680B (2009).

[Crossref]

D. J. Brady, N. Pitsianis, and X. Sun, “Reference structure tomography,” J. Opt. Soc. Am. A 21, 1140–1147 (2004).

[Crossref]

E. Candès and J. Romberg, “Sparsity and incoherence in compressive sampling,” Inverse Probl. 23, 969–985 (2007).

[Crossref]

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

[Crossref]

E. J. Candès, J. K. Romberg, and T. Tao, “Stable signal recovery from incomplete and inaccurate measurements,” Commun. Pure Appl. Math. 59, 1207–1223 (2006).

[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

S. Ji, Y. Xue, and L. Carin, “Bayesian compressive sensing,” IEEE Trans. Signal Process. 56, 2346–2356 (2008).

[Crossref]

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J. Hahn, S. Lim, K. Choi, R. Horisaki, and D. J. Brady, “Video-rate compressive holographic microscopic tomography,” Opt. Express 19, 7289–7298 (2011).

[Crossref]

K. Choi, J. Wang, L. Zhu, T. S. Suh, S. Boyd, and L. Xing, “Compressed sensing based cone-beam computed tomography reconstruction with a first-order method,” Med. Phys. 37, 5113–5125 (2010).

[Crossref]

K. Choi and D. J. Brady, “Coded aperture computed tomography,” Proc. SPIE 7468, 74680B (2009).

[Crossref]

R. Ning, X. Tang, and D. Conover, “X-ray scatter correction algorithm for cone beam CT imaging,” Med. Phys. 31, 1195–1202 (2004).

[Crossref]

R. Ning, X. Tang, and D. L. Conover, “X-ray scatter suppression algorithm for cone-beam volume CT,” Proc. SPIE 4685, 774–781 (2002).

[Crossref]

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[Crossref]

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[Crossref]

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S. Pani, E. Cook, J. Horrocks, L. George, S. Hardwick, and R. Speller, “Modelling an energy-dispersive x-ray diffraction system for drug detection,” IEEE Trans. Nucl. Sci. 56, 1238–1241 (2009).

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S. Ji, Y. Xue, and L. Carin, “Bayesian compressive sensing,” IEEE Trans. Signal Process. 56, 2346–2356 (2008).

[Crossref]

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[Crossref]

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

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

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[Crossref]

M. A. Davenport, M. F. Duarte, Y. C. Eldar, and G. Kutyniok, “Introduction to compressed sensing,” in Compressed Sensing: Theory and Applications (Cambridge University, 2012), Chap. 1.

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[Crossref]

G.-H. Chen, S. Leng, and C. A. Mistretta, “A novel extension of the parallel-beam projection-slice theorem to divergent fan-beam and cone-beam projections,” Med. Phys. 32, 654–665 (2005).

[Crossref]

G. H. Chen, J. Tang, and S. H. Leng, “Prior image constrained compressed sensing: a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets,” Med. Phys. 35, 660–663 (2008).

[Crossref]

M. H. Li, H. Q. Yang, and H. Kudo, “An accurate iterative reconstruction algorithm for sparse objects: application to 3D blood vessel reconstruction from a limited number of projections,” Phys. Med. Biol. 47, 2599–2609 (2002).

[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

A. G. Lindgren and P. A. Rattey, “The inverse discrete Radon transform with applications to tomographic imaging using projection data,” Adv. Electron. Electron Phys. 56, 359–410 (1981).

[Crossref]

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

[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

A. K. Louis, “Incomplete data problems in x-ray computerized tomography,” Numer. Math. 48, 251–262 (1986).

[Crossref]

M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly, “Compressed sensing MRI,” IEEE Signal Process. Mag. 25(2), 72–82 (2008).

[Crossref]

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

[Crossref]

D. J. Crotty, R. L. McKinley, and M. P. Tornai, “Experimental spectral measurements of heavy k-edge filtered beams for x-ray computed mammotomography,” Phys. Med. Biol. 52, 603–616 (2007).

[Crossref]

D. P. Petersen and D. Middleton, “Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces,” Inf. Control 5, 279–323 (1962).

[Crossref]

G.-H. Chen, S. Leng, and C. A. Mistretta, “A novel extension of the parallel-beam projection-slice theorem to divergent fan-beam and cone-beam projections,” Med. Phys. 32, 654–665 (2005).

[Crossref]

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[Crossref]

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G. Harding, J. Kosanetzky, and U. Neitzel, “X-ray diffraction computed tomography,” Med. Phys. 14, 515–525 (1987).

[Crossref]

R. Ning, X. Tang, and D. Conover, “X-ray scatter correction algorithm for cone beam CT imaging,” Med. Phys. 31, 1195–1202 (2004).

[Crossref]

R. Ning, X. Tang, and D. L. Conover, “X-ray scatter suppression algorithm for cone-beam volume CT,” Proc. SPIE 4685, 774–781 (2002).

[Crossref]

J. A. O’Sullivan and J. Benac, “Alternating minimization algorithms for transmission tomography,” IEEE Trans. Med. Imaging 26, 283–297 (2007).

[Crossref]

C. Cozzini, S. Olesinski, and G. Harding, “Modeling scattering for security applications: a multiple beam x-ray diffraction imaging system,” in IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC) (IEEE, 2012), pp. 74–77.

J. W. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. L. Prince, and J. H. Siewerdsen, “Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties,” Proc. SPIE 7961, 79611L (2011).

[Crossref]

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

[Crossref]

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

S. Pani, E. Cook, J. Horrocks, L. George, S. Hardwick, and R. Speller, “Modelling an energy-dispersive x-ray diffraction system for drug detection,” IEEE Trans. Nucl. Sci. 56, 1238–1241 (2009).

[Crossref]

M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly, “Compressed sensing MRI,” IEEE Signal Process. Mag. 25(2), 72–82 (2008).

[Crossref]

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

[Crossref]

H. Peng and H. Stark, “Direct fourier reconstruction in fan-beam tomography,” IEEE Trans. Med. Imaging 6, 209–219 (1987).

[Crossref]

D. P. Petersen and D. Middleton, “Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces,” Inf. Control 5, 279–323 (1962).

[Crossref]

B. Adcock, A. C. Hansen, C. Poon, and B. Roman, “Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing,” arXiv:1302.0561 (2013).

J. W. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. L. Prince, and J. H. Siewerdsen, “Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties,” Proc. SPIE 7961, 79611L (2011).

[Crossref]

A. G. Lindgren and P. A. Rattey, “The inverse discrete Radon transform with applications to tomographic imaging using projection data,” Adv. Electron. Electron Phys. 56, 359–410 (1981).

[Crossref]

B. Adcock, A. C. Hansen, C. Poon, and B. Roman, “Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing,” arXiv:1302.0561 (2013).

E. Candès and J. Romberg, “Sparsity and incoherence in compressive sampling,” Inverse Probl. 23, 969–985 (2007).

[Crossref]

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

[Crossref]

E. J. Candès, J. K. Romberg, and T. Tao, “Stable signal recovery from incomplete and inaccurate measurements,” Commun. Pure Appl. Math. 59, 1207–1223 (2006).

[Crossref]

M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly, “Compressed sensing MRI,” IEEE Signal Process. Mag. 25(2), 72–82 (2008).

[Crossref]

P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady, “Coded aperture compressive temporal imaging,” Opt. Express 21, 10526–10545 (2013).

[Crossref]

E. Hansis, D. Schafer, O. Dossel, and M. Grass, “Evaluation of iterative sparse object reconstruction from few projections for 3-D rotational coronary angiography,” IEEE Trans. Med. Imaging 27, 1548–1555 (2008).

[Crossref]

J. W. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. L. Prince, and J. H. Siewerdsen, “Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties,” Proc. SPIE 7961, 79611L (2011).

[Crossref]

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[Crossref]

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

[Crossref]

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

J. W. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. L. Prince, and J. H. Siewerdsen, “Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties,” Proc. SPIE 7961, 79611L (2011).

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