A. Andersen and A. Kak, “Simultaneous algebraic reconstruction technique (SART): a superior implementation of ART Ultrason,” Imaging 6, 81–94 (1984).

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

P. J. La Rivière, J. Bian, and P. A. Vargas, “Penalized-likelihood sinogram restoration for computed tomography,” IEEE Trans. Med. Imaging 25, 1022–1036 (2006).

[Crossref]
[PubMed]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

A. Borsdorf, R. Raupach, T. Flohr, and J. Hornegger, “Wavelet based noise reduction in CT-images using correlation analysis,” IEEE Trans. Med. Imaging 27, 1685–1703 (2008).

[Crossref]
[PubMed]

K. Sauer and C. Bouman, “A local update strategy for iterative reconstruction from projections,” IEEE Trans. Signal Process. 41, C534–C548 (1993).

[Crossref]

Z. Wang and A. C. Bovik, “A universal image quality index,” IEEE Signal Process. Lett. 9, 81–84 (2002).

[Crossref]

D. J. Brenner and E. J. Hall, “CT – An increasing source of radiation exposure,” New Eng. J. Med. 357, 2277–2284 (2007).

[Crossref]

C. H. McCollough, M. R. Bruesewitz, and J. M. Kofler, “CT dose reduction and dose management tools: Overview of available options,” Radiographics 26, 503–512 (2006).

[Crossref]
[PubMed]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

P. Milasevic and G. R. Ducharme, “Uniqueness of the spatial median,” The Annals of Statistics 15, 1332–1333 (1987).

[Crossref]

A. J. Einstein, M. J. Henzlova, and S. Rajagopalan, “Estimating risk of cancer associated with radiation exposure from 64-slice CT coronary angiography,” J. Am. Med. Assoc. 298, 317–323 (2007).

[Crossref]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

Y. Liu, J. Ma, Y. Fan, and Z. Liang, “Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction,” Phys. Med. Biol. 57, 7923–7956 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

D. F. Yu and J. A. Fessler, “Edge-preserving tomographic reconstruction with nonlocal regularization,” IEEE Trans. Med. Imaging 21, 159–173 (2002).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

A. Borsdorf, R. Raupach, T. Flohr, and J. Hornegger, “Wavelet based noise reduction in CT-images using correlation analysis,” IEEE Trans. Med. Imaging 27, 1685–1703 (2008).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

D. J. Brenner and E. J. Hall, “CT – An increasing source of radiation exposure,” New Eng. J. Med. 357, 2277–2284 (2007).

[Crossref]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

G. Han, Z. Liang, and J. You, “A fast ray-tracing technique for TCT and ECT studies,” in Proceeding of IEEE NSS-MIC, (Seattle, WA, 1999), pp. 1515–1518.

A. J. Einstein, M. J. Henzlova, and S. Rajagopalan, “Estimating risk of cancer associated with radiation exposure from 64-slice CT coronary angiography,” J. Am. Med. Assoc. 298, 317–323 (2007).

[Crossref]

A. Borsdorf, R. Raupach, T. Flohr, and J. Hornegger, “Wavelet based noise reduction in CT-images using correlation analysis,” IEEE Trans. Med. Imaging 27, 1685–1703 (2008).

[Crossref]
[PubMed]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

M. Jiang and G. Wang, “Convergence of the simultaneous algebraic reconstruction technique (SART),” in Proceeding of 35th Asilomar Conf. on Signal, Systems and Computers, (2001), pp. 360–364.

A. Andersen and A. Kak, “Simultaneous algebraic reconstruction technique (SART): a superior implementation of ART Ultrason,” Imaging 6, 81–94 (1984).

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

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

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

C. H. McCollough, M. R. Bruesewitz, and J. M. Kofler, “CT dose reduction and dose management tools: Overview of available options,” Radiographics 26, 503–512 (2006).

[Crossref]
[PubMed]

P. J. La Rivière, J. Bian, and P. A. Vargas, “Penalized-likelihood sinogram restoration for computed tomography,” IEEE Trans. Med. Imaging 25, 1022–1036 (2006).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

J. Wang, T. Li, and L. Xing, “Iterative image reconstruction for CBCT using edge-preserving prior,” Med. Phys. 36, 252–260 (2009).

[Crossref]
[PubMed]

J. Wang, T. Li, H. Lu, and Z. Liang, “Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray CT,” IEEE Trans. Med. Imaging 25, 1272–1283 (2006).

[Crossref]
[PubMed]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

Y. Liu, J. Ma, Y. Fan, and Z. Liang, “Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction,” Phys. Med. Biol. 57, 7923–7956 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

J. Wang, T. Li, H. Lu, and Z. Liang, “Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray CT,” IEEE Trans. Med. Imaging 25, 1272–1283 (2006).

[Crossref]
[PubMed]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

G. Han, Z. Liang, and J. You, “A fast ray-tracing technique for TCT and ECT studies,” in Proceeding of IEEE NSS-MIC, (Seattle, WA, 1999), pp. 1515–1518.

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

Y. Liu, J. Ma, Y. Fan, and Z. Liang, “Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction,” Phys. Med. Biol. 57, 7923–7956 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

J. Wang, T. Li, H. Lu, and Z. Liang, “Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray CT,” IEEE Trans. Med. Imaging 25, 1272–1283 (2006).

[Crossref]
[PubMed]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

Y. Liu, J. Ma, Y. Fan, and Z. Liang, “Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction,” Phys. Med. Biol. 57, 7923–7956 (2012).

[Crossref]
[PubMed]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

C. H. McCollough, M. R. Bruesewitz, and J. M. Kofler, “CT dose reduction and dose management tools: Overview of available options,” Radiographics 26, 503–512 (2006).

[Crossref]
[PubMed]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

P. Milasevic and G. R. Ducharme, “Uniqueness of the spatial median,” The Annals of Statistics 15, 1332–1333 (1987).

[Crossref]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

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

A. J. Einstein, M. J. Henzlova, and S. Rajagopalan, “Estimating risk of cancer associated with radiation exposure from 64-slice CT coronary angiography,” J. Am. Med. Assoc. 298, 317–323 (2007).

[Crossref]

A. Borsdorf, R. Raupach, T. Flohr, and J. Hornegger, “Wavelet based noise reduction in CT-images using correlation analysis,” IEEE Trans. Med. Imaging 27, 1685–1703 (2008).

[Crossref]
[PubMed]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

K. Sauer and C. Bouman, “A local update strategy for iterative reconstruction from projections,” IEEE Trans. Signal Process. 41, C534–C548 (1993).

[Crossref]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

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

[Crossref]
[PubMed]

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

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

P. J. La Rivière, J. Bian, and P. A. Vargas, “Penalized-likelihood sinogram restoration for computed tomography,” IEEE Trans. Med. Imaging 25, 1022–1036 (2006).

[Crossref]
[PubMed]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

M. Jiang and G. Wang, “Convergence of the simultaneous algebraic reconstruction technique (SART),” in Proceeding of 35th Asilomar Conf. on Signal, Systems and Computers, (2001), pp. 360–364.

J. Wang, T. Li, and L. Xing, “Iterative image reconstruction for CBCT using edge-preserving prior,” Med. Phys. 36, 252–260 (2009).

[Crossref]
[PubMed]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

J. Wang, T. Li, H. Lu, and Z. Liang, “Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray CT,” IEEE Trans. Med. Imaging 25, 1272–1283 (2006).

[Crossref]
[PubMed]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

Z. Wang and A. C. Bovik, “A universal image quality index,” IEEE Signal Process. Lett. 9, 81–84 (2002).

[Crossref]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

J. Wang, T. Li, and L. Xing, “Iterative image reconstruction for CBCT using edge-preserving prior,” Med. Phys. 36, 252–260 (2009).

[Crossref]
[PubMed]

G. Han, Z. Liang, and J. You, “A fast ray-tracing technique for TCT and ECT studies,” in Proceeding of IEEE NSS-MIC, (Seattle, WA, 1999), pp. 1515–1518.

D. F. Yu and J. A. Fessler, “Edge-preserving tomographic reconstruction with nonlocal regularization,” IEEE Trans. Med. Imaging 21, 159–173 (2002).

[Crossref]
[PubMed]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

L. Yu, “Radiation dose reduction in computed tomography: techniques and future perspective,” Imaging Med. 1, 65–84 (2009).

[Crossref]
[PubMed]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.

Z. Bian, J. Ma, J. Huang, H. Zhang, S. Niu, Q. Feng, Z. Liang, and W. Chen, “SR-NLM: A sinogram restoration induced non-local means image filtering for low-dose computed tomography,” Comput. Med. Imaging Graph. 37, 293–303 (2013).

[Crossref]
[PubMed]

Z. Wang and A. C. Bovik, “A universal image quality index,” IEEE Signal Process. Lett. 9, 81–84 (2002).

[Crossref]

A. M. Mendrik, E. J. Vonken, A. Rutten, M. A. Viergever, and B. van Ginneken, “Noise reduction in computed tomography scans using 3-D anisotropic hybrid diffusion with continuous switch,” IEEE Trans. Med. Imaging 28, 1585–1594 (2009).

[Crossref]
[PubMed]

A. Borsdorf, R. Raupach, T. Flohr, and J. Hornegger, “Wavelet based noise reduction in CT-images using correlation analysis,” IEEE Trans. Med. Imaging 27, 1685–1703 (2008).

[Crossref]
[PubMed]

J. Wang, T. Li, H. Lu, and Z. Liang, “Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray CT,” IEEE Trans. Med. Imaging 25, 1272–1283 (2006).

[Crossref]
[PubMed]

P. J. La Rivière, J. Bian, and P. A. Vargas, “Penalized-likelihood sinogram restoration for computed tomography,” IEEE Trans. Med. Imaging 25, 1022–1036 (2006).

[Crossref]
[PubMed]

D. F. Yu and J. A. Fessler, “Edge-preserving tomographic reconstruction with nonlocal regularization,” IEEE Trans. Med. Imaging 21, 159–173 (2002).

[Crossref]
[PubMed]

Y. Liu, Z. Liang, J. Ma, H. Lu, K. Wang, H. Zhang, and W. Moore, “Total variation-stokes strategy for sparse-view X-ray CT image reconstruction,” IEEE Trans. Med. Imaging, 33, 749–763 (2014).

[Crossref]

T. Li, X. Li, J. Wang, J. Wen, H. Lu, J. Hsieh, and Z. Liang, “Nonlinear sinogram smoothing for low-dose X-ray CT,” IEEE Trans. Nucl. Sci. 51, 2505–2513 (2004).

[Crossref]

K. Sauer and C. Bouman, “A local update strategy for iterative reconstruction from projections,” IEEE Trans. Signal Process. 41, C534–C548 (1993).

[Crossref]

A. Andersen and A. Kak, “Simultaneous algebraic reconstruction technique (SART): a superior implementation of ART Ultrason,” Imaging 6, 81–94 (1984).

L. Yu, “Radiation dose reduction in computed tomography: techniques and future perspective,” Imaging Med. 1, 65–84 (2009).

[Crossref]
[PubMed]

A. J. Einstein, M. J. Henzlova, and S. Rajagopalan, “Estimating risk of cancer associated with radiation exposure from 64-slice CT coronary angiography,” J. Am. Med. Assoc. 298, 317–323 (2007).

[Crossref]

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

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, W. Chen, and H. Lu, “Variance analysis of x-ray CT sinograms in the presence of electronic noise background,” Med. Phys. 39, 4051–4065 (2012).

[Crossref]
[PubMed]

J. Ma, J. Huang, Q. Feng, H. Zhang, H. Lu, Z. Liang, and W. Chen, “Low-dose computed tomography image restoration using previous normal-dose scan,” Med. Phys. 38, 5714–5731 (2011).

[Crossref]

J. Wang, T. Li, and L. Xing, “Iterative image reconstruction for CBCT using edge-preserving prior,” Med. Phys. 36, 252–260 (2009).

[Crossref]
[PubMed]

Z. Li, L. Yu, J. D. Trzasko, D. S. Lake, D. J. Blezek, J. G. Fletcher, C. H. McCollough, and A. Manduca, “Adaptive nonlocal means filtering based on local noise level for CT denoising,” Med. Phys. 41, 011908 (2013).

[Crossref]

D. J. Brenner and E. J. Hall, “CT – An increasing source of radiation exposure,” New Eng. J. Med. 357, 2277–2284 (2007).

[Crossref]

J. Ma, H. Zhang, Y. Gao, J. Huang, Z. Liang, Q. Feng, and W. Chen, “Iterative image reconstruction for cerebral perfusion CT using a pre-contrast scan induced edge-preserving prior,” Phys. Med. Biol. 57, 7519–7542 (2012).

[Crossref]
[PubMed]

J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, “An experimental study on the noise properties of X-ray CT sinogram data in radon space,” Phys. Med. Biol. 53, 3327–3341 (2008).

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

Y. Liu, J. Ma, Y. Fan, and Z. Liang, “Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction,” Phys. Med. Biol. 57, 7923–7956 (2012).

[Crossref]
[PubMed]

M. K. Kalra, C. Wittram, M. M. Maher, A. Sharma, G. B. Avinash, K. Karau, T. L. Halpern, S. Saini, and J. A. Shepard, “Can noise reduction filters improve low-radiation-dose chest CT images?” Pilot study Radiology 228, 257–264 (2003).

C. H. McCollough, M. R. Bruesewitz, and J. M. Kofler, “CT dose reduction and dose management tools: Overview of available options,” Radiographics 26, 503–512 (2006).

[Crossref]
[PubMed]

M. K. Kalra, M. M. Maher, T. L. Toth, L. M. Hamberg, M. A. Blake, J. A. Shepard, and S. Saini, “Strategies for CT radiation dose optimization,” Radiology 230, 619–628 (2004).

[Crossref]
[PubMed]

P. Milasevic and G. R. Ducharme, “Uniqueness of the spatial median,” The Annals of Statistics 15, 1332–1333 (1987).

[Crossref]

J. Ma, Z. Liang, Y. Fan, Y. Liu, J. Huang, L. Li, W. Chen, and H. Lu, “Variance estimation of X-ray CT sinogram in radon domain,” in Proc. SPIE8313, 83132G (2012).

[Crossref]

N. Liu, Y. Gao, Z. Bian, J. Huang, W. Chen, G. Yu, Z. Liang, and J. Ma, “Sparse-view x-ray CT reconstruction via total generalized variation regularization,” submitted to Phys. Med. Biol. (PMB-100428), in press.

G. Han, Z. Liang, and J. You, “A fast ray-tracing technique for TCT and ECT studies,” in Proceeding of IEEE NSS-MIC, (Seattle, WA, 1999), pp. 1515–1518.

M. Jiang and G. Wang, “Convergence of the simultaneous algebraic reconstruction technique (SART),” in Proceeding of 35th Asilomar Conf. on Signal, Systems and Computers, (2001), pp. 360–364.

Z. Bian, J. Ma, L. Tian, J. Huang, H. Zhang, Y. Zhang, W. Chen, and Z. Liang, “Penalized weighted alpha-divergence approach to sinogram restoration for low-dose X-ray computed tomography,” in Proceeding of IEEE NSS-MIC, (2012), pp. 3675–3678.