, ? Error-Splitting Forward Model for Iterative Reconstruction in X-ray Computed Tomography and application with Gauss-Markov-Potts prior
, IEEE Transactions on Computational Imaging
International conferences ? Multi-streaming and multi-GPU optimization for a matched pair of Projector and Backprojector, Nicolas Georgin, Bayesian Computed Tomography Reconstruction Algorithm with Gauss-Markov-Potts Prior Model and its Application to Real Data, vol.155, pp.373-405, 2017. ,
, ? Bayesian inference with error variable splitting and sparsity enforcing priors for linear inverse problems, The 26th European Signal Processing Conference, pp.440-444, 2018.
, ? New GPU implementation of Separable Footprint (SF) Projector and Backprojector : first results, pp.314-317, 2018.
, ? Joint Reconstruction and Segmentation of Real 3D Data in Computed Tomography thanks to a Gauss-MarkovPotts Prior Model, pp.810-813, 2017.
Segmentation and Reconstruction Algorithm for 3D Bayesian Computed Tomography using GaussMarkov-Potts prior model, The 42nd IEEE International Conference on Acoustics, Speech and Signal Processing, 2017. ,
Frédéric Pascal, Vincent Lescarret and Pascal Bondon. I am also grateful to Frédéric Desprez, Céline Labrude and Thomas Cuidu for their help to use the GPUs of the laboratory. I would like to thank other L2S members ,
Mathilde Coutelier and Jeff Innocent. I also thank Stéphane Roux at LMT and Aymeric Reshef at GE Healthcare. I would like to thank all my friends and my family. In particular, I thank Rémi Bisognin with whom I closely worked on the development of a deconvolution algorithm for his PhD studies. I thank his supervisor, Gwendal Fève, and Ali for their enthusiasm during this unexpected and very pleasant collaboration. Last but not least, I would like to deeply thank my parents, Morgane Barbet-Massin ,
Bayesian inversion for optical diffraction tomography, Journal of Modern Optics, vol.57, issue.9, pp.765-776, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00444424
Optical diffraction tomography within a variational Bayesian framework, Inverse Problems in Science and Engineering, vol.20, issue.1, pp.59-73, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00638296
Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm, Ultrasonic imaging, vol.6, issue.1, pp.81-94, 1984. ,
Joint NDT image restoration and segmentation using Gauss-Markov-Potts prior models and variational bayesian computation, IEEE Transactions on Image Processing, vol.19, issue.9, pp.2265-2277, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00494945
On the crucial impact of the coupling projector-backprojector in iterative tomographic reconstruction, 2016. ,
Une approche bayésienne de l'inversion. Application à l'imagerie de diffraction dans les domaines micro-onde et optique, 2010. ,
Beam hardening in X-ray reconstructive tomography, Physics in medicine & biology, vol.21, issue.3, p.390, 1976. ,
Spatial interaction and the statistical analysis of lattice systems, Journal of the Royal Statistical Society. Series B (Methodological), pp.192-236, 1974. ,
On the statistical analysis of dirty pictures, Journal of the Royal Statistical Society. Series B (Methodological), pp.259-302, 1986. ,
TomoBayes v1.0 -logiciel de reconstruction en tomographie CT -Ref CNRS du pré-dépôt APP 11562-03 (num IDDN prochainement disponible), 2015. ,
Convex analysis and nonlinear optimization : theory and examples, 2006. ,
Improving robustness of tomographic reconstruction methods, 2015. ,
Distributed optimization and statistical learning via the alternating direction method of multipliers, Machine Learning, vol.3, pp.1-122, 2011. ,
DART: a practical reconstruction algorithm for discrete tomography. Image Processing, IEEE Transactions on, vol.20, issue.9, pp.2542-2553, 2011. ,
A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM journal on imaging sciences, vol.2, issue.1, pp.183-202, 2009. ,
Convex optimization, 2004. ,
Fast approximate energy minimization via graph cuts, IEEE Transactions, vol.23, issue.11, pp.1222-1239, 2001. ,
Fast Iterative Shrinkage/Thresholding Algorithm, Journal of Optimization theory and Applications, vol.166, issue.3, pp.968-982, 2015. ,
New GPU implementation of Separable Footprint Projector and Backprojector : first results, The 5th International Conference on Image Formation in X-Ray Computed Tomography, pp.314-317, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01745746
A 3D Bayesian Computed Tomography Reconstruction Algorithm with Gauss-Markov-Potts Prior Model and its Application to Real Data, Fundamenta Informaticae, vol.155, issue.4, pp.373-405, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01569332
A first-order primal-dual algorithm for convex problems with applications to imaging, Journal of Mathematical Imaging and Vision, vol.40, issue.1, pp.120-145, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00490826
Sparse View X-Ray CT Reconstruction Using l 1 Regularization with Learned Sparsifying Transforms, The 14th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2017. ,
Unsupervised sparsity enforcing iterative algorithms for 3D image reconstruction in X-ray Computed Tomography, The 14th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, pp.359-363, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01568325
Simple and efficient raycasting on modern GPU's read-andwrite memory for fast forward projections in iterative CBCT reconstruction, The 14th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2017. ,
Distance-driven projection and backprojection, Nuclear Science Symposium Conference Record, vol.3, pp.1477-1480, 2002. ,
Distance-driven projection and backprojection in three dimensions, Physics in medicine and biology, vol.49, issue.11, p.2463, 2004. ,
A Bayesian Approach for Periodic Components Estimation for Chronobiological Signals, 2016. ,
URL : https://hal.archives-ouvertes.fr/tel-01318048
GPU accelerated voxel-driven forward projection for iterative reconstruction of cone-beam CT, Biomedical engineering online, vol.16, issue.1, 2017. ,
Ordered subsets algorithms for transmission tomography, Physics in medicine and biology, vol.44, issue.11, p.2835, 1999. ,
Applications of Lagrangian-based alternating direction methods and connections to split Bregman, vol.9, p.31, 2009. ,
Practical cone-beam algorithm, JOSA A, vol.1, issue.6, pp.612-619, 1984. ,
Microwave imaging of inhomogeneous objects made of a finite number of dielectric and conductive materials from experimental data, Inverse Problems, vol.21, issue.6, pp.95-115, 2005. ,
Mean and Variance of Implicitly Defined Biased Estimators (such as Penalized Maximum Likelihood): Applications to Tomography, IEEE Transactions on Image Processing, vol.5, issue.3, pp.493-506, 1996. ,
Statistical image reconstruction methods for transmission tomography. Handbook of medical imaging, vol.2, pp.1-70, 2000. ,
Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs, IEEE Transactions on Image processing, vol.5, issue.9, pp.1346-1358, 1996. ,
Bayesian tomographic reconstruction of microsystems, AIP Conference Proceedings, vol.954, pp.372-380, 2007. ,
An algorithm for quadratic programming, Naval research logistics quarterly, vol.3, issue.1-2, pp.95-110, 1956. ,
Fantôme destiné à être utilisé pour le contrôle de la qualité d'images tomographiques, 2016. ,
Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography, Journal of theoretical Biology, vol.29, issue.3, pp.471-481, 1970. ,
Linear response methods for accurate covariance estimates from Mean Field Variational Bayes, Advances in Neural Information Processing Systems, pp.1441-1449, 2015. ,
Metal artifact reduction in CT: Where are we after four decades, vol.4, pp.5826-5849, 2016. ,
Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images, IEEE Transactions, issue.6, pp.721-741, 1984. ,
Iterative methods for the three-dimensional reconstruction of an object from projections, Journal of theoretical biology, vol.36, issue.1, pp.105-117, 1972. ,
Estimation of the Ising field parameter thanks to the exact partition function, ICIP, pp.1441-1444, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00669080
The split Bregman method for L1-regularized problems, SIAM journal on imaging sciences, vol.2, issue.2, pp.323-343, 2009. ,
The maximum flow problem is log space complete for p, Theoretical Computer Science, vol.21, issue.1, pp.105-111, 1982. ,
Optimal parameter selection for the alternating direction method of multipliers (ADMM): quadratic problems, IEEE Transactions on Automatic Control, vol.60, issue.3, pp.644-658, 2015. ,
Deconvolution-Segmentation for Textured Images, 25th European Signal Processing Conference (EUSIPCO), pp.201-205, 2017. ,
Simulated annealing and iterated conditional modes with selective and confidence enhanced update schemes, Computer-Based Medical Systems, 1992. Proceedings., Fifth Annual IEEE Symposium on, pp.257-264, 1992. ,
Markov random field segmentation of brain mr images, IEEE transactions on medical imaging, vol.16, issue.6, pp.878-886, 1997. ,
Accelerated image reconstruction using ordered subsets of projection data, IEEE transactions on medical imaging, vol.13, issue.4, pp.601-609, 1994. ,
Convolution reconstruction techniques for divergent beams, Computers in biology and medicine, vol.6, issue.4, pp.259-271, 1976. ,
A fast ray-tracing technique for TCT and ECT studies, Nuclear Science Symposium, vol.3, pp.1515-1518, 1999. ,
, Kerson Huang. Statistical mechanics, 1987.
Bayesian approach to inverse problems, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00400668
A Model-Based Image Reconstruction Algorithm With Simultaneous Beam Hardening Correction for X-Ray CT, IEEE Trans. Computational Imaging, vol.1, issue.3, pp.200-216, 2015. ,
An invariant form for the prior probability in estimation problems, Proceedings of the Royal Society of London a: mathematical, physical and engineering sciences, vol.186, pp.453-461, 1946. ,
Selection of a convolution function for Fourier inversion using gridding, IEEE Transactions on, vol.10, issue.3, pp.473-478, 1991. ,
An improved algorithm for reprojecting rays through pixel images, IEEE transactions on medical imaging, vol.1, issue.3, pp.192-196, 1982. ,
A fast algorithm to calculate the exact radiological path through a pixel or voxel space, CIT. Journal of computing and information technology, vol.6, issue.1, pp.89-94, 1998. ,
Accelerated dual gradient-based methods for total variation image denoising/deblurring problems, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.6230-6234, 2017. ,
Reducing non-linear artifacts of multi-material objects in industrial 3D Computed Tomography, Ndt & E International, vol.41, issue.4, pp.242-251, 2008. ,
Simultaneous misalignment correction for approximate circular cone-beam computed tomography, Physics in Medicine & Biology, vol.53, issue.22, p.6267, 2008. ,
A graph-theoretic approach to nonparametric cluster analysis, IEEE Transactions on Computers, vol.100, issue.9, pp.936-944, 1976. ,
Accelerating ordered subsets image reconstruction for X-ray CT using spatially nonuniform optimization transfer, IEEE transactions on medical imaging, vol.32, issue.11, pp.1965-1978, 2013. ,
Combining ordered subsets and momentum for accelerated X-ray CT image reconstruction, IEEE transactions on medical imaging, vol.34, issue.1, pp.167-178, 2015. ,
Color image segmentation using histogram multithresholding and fusion, Image and vision computing, vol.19, issue.13, pp.915-928, 2001. ,
Empirical cupping correction: A first-order raw data precorrection for cone-beam computed tomography, Medical physics, vol.33, issue.5, pp.1269-1274, 2006. ,
EM reconstruction algorithms for emission and transmission tomography, J Comput Assist Tomogr, vol.8, issue.2, pp.306-322, 1984. ,
3D forward and back-projection for X-ray CT using separable footprints, IEEE transactions on medical imaging, vol.29, issue.11, pp.1839-1850, 2010. ,
GPU-based Branchless Distance-Driven Projection and Backprojection, IEEE Transactions on Computational Imaging, vol.3, issue.4, pp.617-632, 2017. ,
Statistical Image Reconstruction and Motion Estimation for Image-Guided Radiotherapy, 2011. ,
Some methods for classification and analysis of multivariate observations, Proceedings of the fifth Berkeley symposium on mathematical statistics and probability, vol.1, pp.281-297, 1967. ,
Majorize-Minimize adapted Metropolis-Hastings algorithm. Application to multichannel image recovery, Signal Processing Conference (EUSIPCO), 2014 Proceedings of the 22nd European, pp.1332-1336, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01909153
Variational Bayes and mean field approximations for Markov field unsupervised estimation, 2009 IEEE International Workshop on Machine Learning for Signal Processing, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00445310
Maximum entropy image reconstruction in X-ray and diffraction tomography, IEEE Transactions on, vol.7, issue.4, pp.345-354, 1988. ,
Fully Bayesian image segmentation -An engineering perspective, Proceedings., International Conference on, vol.3, pp.54-57, 1997. ,
URL : https://hal.archives-ouvertes.fr/inria-00073677
Direct Fourier transform techniques in 3-D image reconstruction, Computers in biology and medicine, vol.6, issue.4, pp.247-251, 1976. ,
Alternating dual updates algorithm for X-ray CT reconstruction on the GPU, IEEE transactions on computational imaging, vol.1, issue.3, pp.186-199, 2015. ,
Statistical Image Reconstruction with SampleBased Beam-Hardening compensation for X-ray CT, The Fifth International Conference on Image Formation in X-Ray Computed Tomography, pp.11-14, 2018. ,
Expectation propagation for approximate Bayesian inference, Proceedings of the Seventeenth conference on Uncertainty in artificial intelligence, pp.362-369, 2001. ,
Divergence measures and message passing, 2005. ,
Improving GPU Scaling for X-ray CT, The Fifth international conference on image formation in X-ray Computed Tomography, 2018. ,
A variational bayesian approach for image restoration. application to image deblurring with poisson-gaussian noise, IEEE Transactions on Computational Imaging, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01613200
Modelling the physics in the iterative reconstruction for transmission computed tomography, Physics in medicine and biology, vol.58, issue.12, p.63, 2013. ,
A method for unconstrained convex minimization problem with the rate of convergence O?1?k 2 q, Doklady AN USSR, vol.269, pp.543-547, 1983. ,
Sparse Regularization of CBCT Reconstruction Using 3D Dual-Tree Complex Wavelet Transform and Dictionary Learning Techniques, The 4th International Conference on Image Formation in X-Ray Computed Tomography, 2016. ,
Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers, SIAM Journal on Numerical Analysis, vol.40, issue.3, pp.965-994, 2002. ,
Parallelizing a matched pair of ray-tracing projector and backprojector for iterative cone-beam CT reconstruction, IEEE Transactions on Nuclear Science, vol.62, issue.1, pp.171-181, 2015. ,
Efficient reconstruction of piecewise constant images using nonsmooth nonconvex minimization, SIAM journal on Imaging Sciences, vol.1, issue.1, pp.2-25, 2008. ,
, , 2018.
A Memory-Efficient Algorithm for Large-Scale Sparsity Regularized Image Reconstruction, The Fifth International Conference on Image Formation in X-Ray Computed Tomography, pp.20-23, 2018. ,
Crystal statistics. I. a two-dimensional model with an order-disorder transition, Physical Review, vol.65, issue.3-4, p.117, 1944. ,
Thresholds selection method form grey-level histograms, IEEE Trans. On Systems, Man and Cybernetics, vol.9, issue.1, p.1979, 1979. ,
Iterative Methods in regularized tomographic reconstruction, 2017. ,
URL : https://hal.archives-ouvertes.fr/tel-01731514
Estimating the granularity coefficient of a Potts-Markov random field within a Markov chain Monte Carlo algorithm. Image Processing, IEEE Transactions on, vol.22, issue.6, pp.2385-2397, 2013. ,
A practical local tomography reconstruction algorithm based on a known sub-region, Journal of synchrotron radiation, vol.24, issue.1, pp.257-268, 2017. ,
Maximum-A-Posteriori estimation with Bayesian Confidence Regions, SIAM Journal on Imaging Sciences, vol.10, issue.1, pp.285-302, 2017. ,
A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.31, issue.5, pp.1262-1275, 1983. ,
Efficient implementation of a local tomography reconstruction algorithm. Advanced structural and chemical imaging, vol.3, p.5, 2017. ,
A survey of stochastic simulation and optimization methods in signal processing, IEEE Journal of Selected Topics in Signal Processing, vol.10, issue.2, pp.224-241, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01312917
A fully GPU-based ray-driven backprojector via a ray-culling scheme with voxel-level parallelization for cone-beam CT reconstruction, Technology in cancer research & treatment, p.2012, 2014. ,
Parameter expanded variational Bayesian methods, Advances in Neural Information Processing Systems, vol.19, p.1097, 2007. ,
A fast discrete wavelet transform using hybrid parallelism on GPUs, IEEE Transactions on Parallel and Distributed Systems, vol.27, issue.11, pp.3088-3100, 2016. ,
Über die bestimmung von funktionen durch ihre integralwerte längs gewisser mannigfaltigkeiten. Classic papers in modern diagnostic radiology, vol.5, 1917. ,
Objective criteria for the evaluation of clustering methods, Journal of the American Statistical association, vol.66, issue.336, pp.846-850, 1971. ,
Algorithmes rapides de reconstruction en tomographie par compression des calculs: application à la tomofluoroscopie 3D, 2002. ,
A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data, Journal of Computational Physics, vol.221, issue.2, pp.539-557, 2007. ,
Divergent-beam backprojection-filtration formula with applications to region-of-interest imaging, The Fifth International Conference on Image Formation in X-Ray Computed Tomography, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01807404
A local update strategy for iterative reconstruction from projections, IEEE Transactions on Signal Processing, vol.41, issue.2, pp.534-548, 1993. ,
pDART : Discrete algebraic reconstruction using a polychromatic forward model, The Fifth International Conference on Image Formation in X-Ray Computed Tomography, 2018. ,
An introduction to the conjugate gradient method without the agonizing pain, 1994. ,
Reduction of artifacts induced by misaligned geometry in conebeam CT, IEEE transactions on biomedical engineering, vol.54, issue.8, pp.1461-1471, 2007. ,
Fast calculation of the exact radiological path for a three-dimensional CT array, Medical physics, vol.12, issue.2, pp.252-255, 1985. ,
Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle & Pock algorithm, Physics in medicine and biology, vol.57, issue.10, p.3065, 2012. ,
Mathematical foundations of computed tomography, Applied Optics, vol.24, issue.23, pp.3950-3957, 1985. ,
CUDA by Example: An Introduction to General-Purpose GPU Programming, Portable Documents, 2010. ,
The Fourier reconstruction of a head section, IEEE Transactions on Nuclear Science, vol.21, issue.3, pp.21-43, 1974. ,
The variational Bayes method in signal processing, 2006. ,
Fast segmentation from blurred data in 3D fluorescence microscopy, IEEE Transactions on Image Processing, vol.26, issue.10, pp.4856-4870, 2017. ,
Local Autoencoding for Parameter Estimation in a Hidden Potts-Markov Random Field, IEEE Transactions on Image Processing, vol.25, issue.5, pp.2324-2336, 2016. ,
Joint image reconstruction and segmentation using the Potts model, Inverse Problems, vol.31, issue.2, p.25003, 2015. ,
Direct Fourier reconstruction in computer tomography, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.29, issue.2, pp.237-245, 1981. ,
An investigation of computerized tomography by direct Fourier inversion and optimum interpolation, IEEE Transactions on Biomedical Engineering, issue.7, pp.496-505, 1981. ,
A recursive filter for noise reduction in statistical iterative tomographic imaging, International Society for Optics and Photonics, pp.60650-60650, 2006. ,
Solution of incorrectly formulated problems and the regularization method, In Soviet Math. Dokl, vol.5, pp.1035-1038, 1963. ,
A three-dimensional statistical approach to improved image quality for multislice helical CT, Medical physics, vol.34, issue.11, pp.4526-4544, 2007. ,
An inversion formula for cone-beam reconstruction, SIAM Journal on Applied Mathematics, vol.43, issue.3, pp.546-552, 1983. ,
Aleksandra Pi?urica, Stefaan Vandenberghe, and Steven Staelens. Iterative CT reconstruction using shearlet-based regularization, IEEE Transactions on Nuclear Science, vol.60, issue.5, pp.3305-3317, 2013. ,
Image quality assessment: from error visibility to structural similarity, IEEE transactions on image processing, vol.13, issue.4, pp.600-612, 2004. ,
GPU acceleration of 3D forward and backward projection using separable footprints for X-ray CT image reconstruction, Proc. Intl. Mtg. on Fully 3D Image Recon. in Rad. and Nuc. Med, vol.6, p.21911, 2011. ,
X-ray Computed Tomography using a sparsity enforcing prior model based on Haar transformation in a Bayesian framework, Fundamenta Informaticae, vol.155, issue.4, pp.449-480, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01490523
Binary tomography reconstruction from few projections with Total Variation regularization for bone microstructure studies, Journal of X-ray science and technology, vol.24, issue.2, pp.177-189, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01967294
An intuitive discussion on the ideal ramp filter in computed tomography (I), Computers & Mathematics with Applications, vol.49, issue.5-6, pp.731-740, 2005. ,
Accelerating separable footprint (SF) forward and back projection on GPU, SPIE Medical Imaging, pages 101322S-101322S. International Society for Optics and Photonics, 2017. ,
Low-dose X-ray CT reconstruction via dictionary learning, IEEE Transactions on Medical Imaging, vol.31, issue.9, pp.1682-1697, 2012. ,
Sparse Bayesian dictionary learning with a Gaussian hierarchical model, Signal Processing, vol.130, pp.93-104, 2017. ,
Joint segmentation and deconvolution of ultrasound images using a hierarchical Bayesian model based on generalized Gaussian priors, IEEE transactions on Image Processing, vol.25, issue.8, pp.3736-3750, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01374064
Segmentation of brain mr images through a hidden markov random field model and the expectation-maximization algorithm, IEEE transactions on medical imaging, vol.20, issue.1, pp.45-57, 2001. ,
An efficient primal-dual hybrid gradient algorithm for total variation image restoration, UCLA CAM Report, vol.34, 2008. ,
Unmatched projector/backprojector pairs in an iterative reconstruction algorithm, IEEE transactions on medical imaging, vol.19, issue.5, pp.548-555, 2000. ,
The Mean Field theory in EM procedures for Markov random fields, IEEE Transactions on signal processing, vol.40, issue.10, pp.2570-2583, 1992. ,
Nonbinary discrete tomography by continuous non-convex optimization, IEEE Transactions on Computational Imaging, vol.2, issue.3, pp.335-347, 2016. ,
Iterative reconstruction of a region of interest for transmission tomography, Medical physics, vol.35, issue.4, pp.1317-1327, 2008. ,
TVR-DART: a more robust algorithm for discrete tomography from limited projection data with automated gray value estimation, IEEE Transactions on Image Processing, vol.25, issue.1, pp.455-468, 2016. ,
PWLS-ULTRA: An efficient clustering and learning-based approach for low-dose 3D CT image reconstruction, IEEE transactions on medical imaging, vol.37, issue.6, pp.1498-1510, 2018. ,