Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

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]

J. Zhang, Z. Wei, and L. Xiao, “Adaptive fractional-order multi-scale method for image denoising,” J. Math. Imaging Vis. 43, 39–49 (2012).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

J. Zhang and Z. Wei, “A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising,” Appl. Math. Model. 35, 2516–2528 (2011).

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

H. Yu and G. Wang, “A soft-threshold filtering approach for reconstruction from a limited number of projections,” Phys. Med. Biol. 55, 3905–3916 (2010).

[CrossRef]

Y.-F. Pu, J.-L. Zhou, and X. Yuan, “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement,” IEEE Trans. Image Process. 19, 491–511 (2010).

[CrossRef]

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

[CrossRef]

D. J. Brenner and E. J. Hall, “Computed tomography—an increasing source of radiation exposure,” New Engl. J. Med. 357, 2277–2284 (2007).

[CrossRef]

J. Bai and X. Feng, “Fractional-order anisotropic diffusion for image denoising,” IEEE Trans. Image Process. 16, 2492–2502 (2007).

[CrossRef]

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

[CrossRef]

E. J. Candes, 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. Y. Sidky, C. M. 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. Lysaker, S. Osher, and X.-C. Tai, “Noise removal using smoothed normals and surface fitting,” IEEE Trans. Image Process. 13, 1345–1357 (2004).

[CrossRef]

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

[CrossRef]

Y.-L. You and M. Kaveh, “Fourth-order partial differential equations for noise removal,” IEEE Trans. Image Process. 9, 1723–1730 (2000).

[CrossRef]

T. F. Chan, A. Marquina, and P. Mulet, “High-order total variation based image restoration,” SIAM J. Sci. Comput. 22, 503–516 (2000).

[CrossRef]

R. L. Siddon, “Fast calculation of the exact radiological path for a three-dimensional CT array,” Med. Phys. 12, 252–255 (1985).

[CrossRef]

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

[CrossRef]

A. P. Dempster, N. M. Laired, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Royal Stat. Soc. B 39, 1–38 (1977).

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

[CrossRef]

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

[CrossRef]

J. Bai and X. Feng, “Fractional-order anisotropic diffusion for image denoising,” IEEE Trans. Image Process. 16, 2492–2502 (2007).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

D. J. Brenner and E. J. Hall, “Computed tomography—an increasing source of radiation exposure,” New Engl. J. Med. 357, 2277–2284 (2007).

[CrossRef]

E. J. Candes, 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]

T. F. Chan, A. Marquina, and P. Mulet, “High-order total variation based image restoration,” SIAM J. Sci. Comput. 22, 503–516 (2000).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

A. P. Dempster, N. M. Laired, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Royal Stat. Soc. B 39, 1–38 (1977).

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

[CrossRef]

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]

J. Bai and X. Feng, “Fractional-order anisotropic diffusion for image denoising,” IEEE Trans. Image Process. 16, 2492–2502 (2007).

[CrossRef]

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

[CrossRef]

D. J. Brenner and E. J. Hall, “Computed tomography—an increasing source of radiation exposure,” New Engl. J. Med. 357, 2277–2284 (2007).

[CrossRef]

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

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

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

[CrossRef]

E. Y. Sidky, C. M. 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).

Y.-L. You and M. Kaveh, “Fourth-order partial differential equations for noise removal,” IEEE Trans. Image Process. 9, 1723–1730 (2000).

[CrossRef]

A. P. Dempster, N. M. Laired, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Royal Stat. Soc. B 39, 1–38 (1977).

Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

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]

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]

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

M. Lysaker, S. Osher, and X.-C. Tai, “Noise removal using smoothed normals and surface fitting,” IEEE Trans. Image Process. 13, 1345–1357 (2004).

[CrossRef]

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]

T. F. Chan, A. Marquina, and P. Mulet, “High-order total variation based image restoration,” SIAM J. Sci. Comput. 22, 503–516 (2000).

[CrossRef]

T. F. Chan, A. Marquina, and P. Mulet, “High-order total variation based image restoration,” SIAM J. Sci. Comput. 22, 503–516 (2000).

[CrossRef]

K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, 1974).

M. Lysaker, S. Osher, and X.-C. Tai, “Noise removal using smoothed normals and surface fitting,” IEEE Trans. Image Process. 13, 1345–1357 (2004).

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

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

[CrossRef]

E. Y. Sidky, C. M. 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).

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Y.-F. Pu, J.-L. Zhou, and X. Yuan, “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement,” IEEE Trans. Image Process. 19, 491–511 (2010).

[CrossRef]

E. J. Candes, 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]

A. P. Dempster, N. M. Laired, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Royal Stat. Soc. B 39, 1–38 (1977).

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

[CrossRef]

R. L. Siddon, “Fast calculation of the exact radiological path for a three-dimensional CT array,” Med. Phys. 12, 252–255 (1985).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, 1974).

M. Lysaker, S. Osher, and X.-C. Tai, “Noise removal using smoothed normals and surface fitting,” IEEE Trans. Image Process. 13, 1345–1357 (2004).

[CrossRef]

E. J. Candes, 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]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

H. Yu and G. Wang, “A soft-threshold filtering approach for reconstruction from a limited number of projections,” Phys. Med. Biol. 55, 3905–3916 (2010).

[CrossRef]

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

[CrossRef]

J. Zhang, Z. Wei, and L. Xiao, “Adaptive fractional-order multi-scale method for image denoising,” J. Math. Imaging Vis. 43, 39–49 (2012).

[CrossRef]

J. Zhang and Z. Wei, “A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising,” Appl. Math. Model. 35, 2516–2528 (2011).

[CrossRef]

J. Zhang, Z. Wei, and L. Xiao, “Adaptive fractional-order multi-scale method for image denoising,” J. Math. Imaging Vis. 43, 39–49 (2012).

[CrossRef]

Y.-L. You and M. Kaveh, “Fourth-order partial differential equations for noise removal,” IEEE Trans. Image Process. 9, 1723–1730 (2000).

[CrossRef]

H. Yu and G. Wang, “A soft-threshold filtering approach for reconstruction from a limited number of projections,” Phys. Med. Biol. 55, 3905–3916 (2010).

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

Y.-F. Pu, J.-L. Zhou, and X. Yuan, “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement,” IEEE Trans. Image Process. 19, 491–511 (2010).

[CrossRef]

J. Zhang, Z. Wei, and L. Xiao, “Adaptive fractional-order multi-scale method for image denoising,” J. Math. Imaging Vis. 43, 39–49 (2012).

[CrossRef]

J. Zhang and Z. Wei, “A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising,” Appl. Math. Model. 35, 2516–2528 (2011).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Y.-F. Pu, J.-L. Zhou, and X. Yuan, “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement,” IEEE Trans. Image Process. 19, 491–511 (2010).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, and J.-L. Zhou, “A class of fractional-order variational image inpainting models,” Appl. Math. Inform. Sci. 6, 229–306 (2012).

J. Zhang and Z. Wei, “A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising,” Appl. Math. Model. 35, 2516–2528 (2011).

[CrossRef]

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, Q.-L. Chen, and J.-L. Zhou, “Efficient CT metal artifacts reduction based on fractional-order curvature diffusion,” Comput. Math. Method Med. 2011, 173748 (2011).

[CrossRef]

Y.-F. Pu, J.-L. Zhou, and X. Yuan, “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement,” IEEE Trans. Image Process. 19, 491–511 (2010).

[CrossRef]

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

[CrossRef]

J. Bai and X. Feng, “Fractional-order anisotropic diffusion for image denoising,” IEEE Trans. Image Process. 16, 2492–2502 (2007).

[CrossRef]

Y.-L. You and M. Kaveh, “Fourth-order partial differential equations for noise removal,” IEEE Trans. Image Process. 9, 1723–1730 (2000).

[CrossRef]

M. Lysaker, S. Osher, and X.-C. Tai, “Noise removal using smoothed normals and surface fitting,” IEEE Trans. Image Process. 13, 1345–1357 (2004).

[CrossRef]

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

[CrossRef]

E. J. Candes, 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]

J. Zhang, Z. Wei, and L. Xiao, “Adaptive fractional-order multi-scale method for image denoising,” J. Math. Imaging Vis. 43, 39–49 (2012).

[CrossRef]

A. P. Dempster, N. M. Laired, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Royal Stat. Soc. B 39, 1–38 (1977).

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

[CrossRef]

E. Y. Sidky, C. M. 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).

Y. Zhang, Y.-F. Pu, J.-R. Hu, Y. Liu, and J.-L. Zhou, “A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting,” J. X-Ray Sci. Technol. 19, 373–384 (2011).

R. L. Siddon, “Fast calculation of the exact radiological path for a three-dimensional CT array,” Med. Phys. 12, 252–255 (1985).

[CrossRef]

D. J. Brenner and E. J. Hall, “Computed tomography—an increasing source of radiation exposure,” New Engl. J. Med. 357, 2277–2284 (2007).

[CrossRef]

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

[CrossRef]

Z. Tian, X. Jia, K. Yuan, T. Pan, and S. B. Jiang, “Low-dose CT reconstruction via edge-preserving total variation regularization,” Phys. Med. Biol. 56, 5949–5967 (2011).

[CrossRef]

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]

Z. Chen, X. Jin, L. Li, and G. Wang, “A limited-angle CT reconstruction method based on anisotropic TV minimization,” Phys. Med. Biol. 58, 2119–2141 (2013).

[CrossRef]

H. Yu and G. Wang, “A soft-threshold filtering approach for reconstruction from a limited number of projections,” Phys. Med. Biol. 55, 3905–3916 (2010).

[CrossRef]

T. F. Chan, A. Marquina, and P. Mulet, “High-order total variation based image restoration,” SIAM J. Sci. Comput. 22, 503–516 (2000).

[CrossRef]

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

[CrossRef]

FORBILD Phantoms [Online]. Available: http://www.imp.uni-erlangen.de/phantoms/index.htm .

K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, 1974).