The essential physics of medical imaging (the second edition), 2002. ,
Xcom: Photon cross sections database, 2010. ,
Normalized metal artifact reduction (NMAR) in computed tomography, Medical Physics, vol.31, issue.4, p.5482, 2010. ,
DOI : 10.1118/1.3484090
Reducing non-linear artifacts of multimaterial objects in industrial 3d computed tomography, NDT&E International, p.41 ,
Optimal short scan convolution reconstruction for fan beam ct, Medical Physics, vol.9, issue.2, pp.254-257, 1982. ,
Quantitative reconstruction from truncated projections in classical tomography, IEEE Transactions on Nuclear Science, vol.51, issue.5, pp.2570-2578, 2004. ,
DOI : 10.1109/TNS.2004.835781
Truncated Hilbert transform and image reconstruction from limited tomographic data, Inverse Problems, vol.22, issue.3, p.1037, 2006. ,
DOI : 10.1088/0266-5611/22/3/019
URL : https://hal.archives-ouvertes.fr/ujm-00105167
A method of and apparatus for examination of a body by radiation such as x-ray or gamma radiation, 1972. ,
Metal streak artifacts in X-ray computed tomography: a simulation study, IEEE Transactions on Nuclear Science, vol.46, issue.3, pp.691-696, 1999. ,
DOI : 10.1109/23.775600
The exponential edge-gradient effect in X-ray computed tomography, Physics in Medicine and Biology, vol.26, issue.3, p.473, 1981. ,
DOI : 10.1088/0031-9155/26/3/010
An algorithm for the reduction of metal clip artifacts in CT reconstructions, Medical Physics, vol.8, issue.6, pp.799-807, 1981. ,
DOI : 10.1118/1.595032
Bayesian Multi-Energy Computed Tomography reconstruction approaches based on decomposition models, 2013. ,
¨ uber die bestimmung von funktionen durch ihre integralwerte längs gewisser mannigfaltigkeiten, Berichte Sächsische Akademie der Wissenschaften, pp.262-267, 1917. ,
Energy-selective reconstructions in X-ray computerised tomography, Physics in Medicine and Biology, vol.21, issue.5, p.733, 1976. ,
DOI : 10.1088/0031-9155/21/5/002
An iterative maximum-likelihood polychromatic algorithm for CT, IEEE Transactions on Medical Imaging, vol.20, issue.10, pp.999-1008, 2001. ,
DOI : 10.1109/42.959297
The effects of scatter in x-ray computed tomography, Medical Physics, vol.9, issue.4, 1982. ,
DOI : 10.1118/1.595111
Em reconstruction algorithms for emission and transmission tomography, Journal of Computer Assisted Tomography, vol.8, issue.2, pp.306-316, 1984. ,
A local update strategy for iterative reconstruction from projections, IEEE Transactions on Signal Processing, vol.41, issue.2, pp.534-548, 1993. ,
DOI : 10.1109/78.193196
Iterative reconstruction for helical CT: a simulation study, Physics in Medicine and Biology, vol.43, issue.4, p.729, 1998. ,
DOI : 10.1088/0031-9155/43/4/003
An experimental study on the noise properties of x-ray CT sinogram data in Radon space, Physics in Medicine and Biology, vol.53, issue.12, p.533327, 2008. ,
DOI : 10.1088/0031-9155/53/12/018
A full-spectral bayesian reconstruction approach based on the material decomposition model applied in dualenergy computed tomography, Medical Physics, issue.11, p.40, 2013. ,
Strip Integration in Radio Astronomy, Australian Journal of Physics, vol.9, issue.2, pp.198-217, 1956. ,
DOI : 10.1071/PH560198
Reconstruction of Three Dimensional Structures from Electron Micrographs, Nature, vol.15, issue.5124, pp.130-134, 1968. ,
DOI : 10.1016/0022-2836(68)90050-8
Direct fourier reconstruction in computer tomography. Acoustics, Speech and Signal Processing, IEEE Transactions on, vol.29, issue.2, pp.237-245, 1981. ,
Inversion of Fan-Beam Scans in Radio Astronomy, The Astrophysical Journal, vol.150, p.427, 1967. ,
DOI : 10.1086/149346
Three-dimensional Reconstruction from Radiographs and Electron Micrographs: Application of Convolutions instead of Fourier Transforms, Proceedings of the National Academy of Sciences, vol.68, issue.9, pp.2236-2240, 1971. ,
DOI : 10.1073/pnas.68.9.2236
The Fourier reconstruction of a head section, IEEE Transactions on Nuclear Science, vol.21, issue.3, pp.21-43, 1974. ,
DOI : 10.1109/TNS.1974.6499235
Fast Image Reconstruction Based on a Radon Inversion Formula Appropriate for Rapidly Collected Data, SIAM Journal on Applied Mathematics, vol.33, issue.3, pp.511-533, 1977. ,
DOI : 10.1137/0133033
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. ,
DOI : 10.1016/0022-5193(70)90109-8
Iterative methods for the three-dimensional reconstruction of an object from projections, Journal of Theoretical Biology, vol.36, issue.1, pp.105-117, 1972. ,
DOI : 10.1016/0022-5193(72)90180-4
Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm, Ultrasonic Imaging, vol.12, issue.1, pp.81-94, 1984. ,
DOI : 10.1177/016173468400600107
Maximum Likelihood Reconstruction for Emission Tomography, IEEE Transactions on Medical Imaging, vol.1, issue.2, pp.113-122, 1982. ,
DOI : 10.1109/TMI.1982.4307558
A Theoretical Study of Some Maximum Likelihood Algorithms for Emission and Transmission Tomography, IEEE Transactions on Medical Imaging, vol.6, issue.2, pp.106-114, 1987. ,
DOI : 10.1109/TMI.1987.4307810
Correction for beam hardening in computed tomography, Physics in Medicine and Biology, vol.24, issue.1, p.81, 1979. ,
DOI : 10.1088/0031-9155/24/1/008
Penalized weighted least-squares image reconstruction for positron emission tomography, IEEE Transactions on Medical Imaging, vol.13, issue.2, pp.290-300, 1994. ,
DOI : 10.1109/42.293921
Globally convergent algorithms for maximum a posteriori transmission tomography, IEEE Transactions on Image Processing, vol.4, issue.10, pp.1430-1438, 1995. ,
DOI : 10.1109/83.465107
The Mathematics of Computerized Tomography, 2001. ,
Linograms in Image Reconstruction from Projections, IEEE Transactions on Medical Imaging, vol.6, issue.4, pp.301-307, 1987. ,
DOI : 10.1109/TMI.1987.4307847
The linogram method for image reconstruction from projections applied to fan-beam projection data, IEEE Conference on Nuclear Science Symposium and Medical Imaging, pp.1195-1197, 1992. ,
DOI : 10.1109/NSSMIC.1992.301035
Linogram and Other Direct Fourier Method for Tomographic Reconstruction, 1993. ,
Fast fully 3D image reconstruction using planograms, 2000 IEEE Nuclear Science Symposium. Conference Record (Cat. No.00CH37149), pp.15-239, 2000. ,
DOI : 10.1109/NSSMIC.2000.950111
A study of data sampling in pet with planar detectors, Medical Imaging Coference, 2003. ,
The shannon sampling theorem ; its various extensions and applications: A tutorial review, Proceedings of the IEEE, pp.1565-1596, 1977. ,
Principles of Computerized Tomographic Imaging, 1988. ,
Practical cone-beam algorithm, Journal of the Optical Society of America A, vol.1, issue.6, pp.612-619, 1984. ,
DOI : 10.1364/JOSAA.1.000612
An inversion formula for cone-beam reconstruction, SIAM Journal on Applied Mathematics, vol.43, issue.3, pp.546-552, 1983. ,
Theoretically Exact Filtered Backprojection-Type Inversion Algorithm for Spiral CT, SIAM Journal on Applied Mathematics, vol.62, issue.6, pp.2012-2026, 2002. ,
DOI : 10.1137/S0036139901387186
Analysis of an exact inversion algorithm for spiral cone-beam CT, Physics in Medicine and Biology, vol.47, issue.15, p.2583, 2002. ,
DOI : 10.1088/0031-9155/47/15/302
Angenaherte auflosung von systemen, Bull. Acad. Pol. Sci. Lett. A, pp.6-8, 1937. ,
Resolution in ART, Journal of Theoretical Biology, vol.33, issue.1, pp.213-223, 1971. ,
DOI : 10.1016/0022-5193(71)90225-6
ART: Mathematics and applications a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques, Journal of Theoretical Biology, vol.45, issue.2, pp.1-32, 1973. ,
DOI : 10.1016/0022-5193(74)90135-0
Reconstruction tomography from incomplete projections, 1975. ,
A tutorial on art (algebraic reconstruction techniques) Nuclear Science, IEEE Transactions on, vol.21, issue.3, pp.78-93, 1974. ,
Digital ray tracing in two???dimensional refractive fields, The Journal of the Acoustical Society of America, vol.72, issue.5, 1982. ,
DOI : 10.1121/1.388495
Maximum likelihood from incompelete data via the EM algorithm, Journal of the Royal Statistical Society. Serie B (Methodological), vol.39, issue.1, pp.1-38, 1977. ,
Accelerated image reconstruction using ordered subsets of projection data, IEEE Transactions on Medical Imaging, vol.13, issue.4, pp.601-609, 1994. ,
DOI : 10.1109/42.363108
Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm, IEEE Transactions on Medical Imaging, vol.17, issue.6, pp.1101-1105, 1998. ,
DOI : 10.1109/42.746730
Unsupervised Bayesian Convex Deconvolution Based on a Field With an Explicit Partition Function, IEEE Transactions on Image Processing, vol.17, issue.1, pp.16-26, 2008. ,
DOI : 10.1109/TIP.2007.911819
URL : https://hal.archives-ouvertes.fr/hal-00879198
Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.1-4259, 1992. ,
DOI : 10.1016/0167-2789(92)90242-F
Penalized weighted least-squares image reconstruction for dual energy X-ray transmission tomography, IEEE Transactions on Medical Imaging, vol.19, issue.11, pp.1075-1081, 2000. ,
DOI : 10.1109/42.896783
Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray computed tomography, IEEE Transactions on Medical Imaging, vol.25, issue.10, pp.251272-1283, 2006. ,
DOI : 10.1109/TMI.2006.882141
Numerical Optimization, Oper. Res. Financ. Eng, 2006. ,
DOI : 10.1007/b98874
View sampling requirements in fan beam computed tomography, Medical Physics, vol.7, issue.6, pp.692-702, 1980. ,
DOI : 10.1118/1.594723
Iterative reconstruction methods in X-ray CT, Physica Medica, vol.28, issue.2, pp.94-108 ,
DOI : 10.1016/j.ejmp.2012.01.003
Gpu implementation of a 3d bayesian ct algorithm and its application on real foam reconstruction, The 1st CT Meeting Proceedings, pp.151-155, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00504740
Reduction of ct artifacts caused by metallic implants, Radiology, vol.164, pp.576-577, 1987. ,
Iterative deblurring for CT metal artifact reduction, IEEE Transactions on Medical Imaging, vol.15, issue.5, 1996. ,
DOI : 10.1109/42.538943
Reconstruction algorithm for polychromatic CT imaging: application to beam hardening correction, IEEE Transactions on Medical Imaging, vol.19, issue.1, pp.1-11, 2000. ,
DOI : 10.1109/42.832955
Reduction of metal streak artifacts in X-ray computed tomography using a transmission maximum a posteriori algorithm, IEEE Transactions on Nuclear Science, vol.47, issue.3, pp.977-981, 2000. ,
DOI : 10.1109/23.856534
X-ray CT high-density artefact suppression in the presence of bones, Physics in Medicine and Biology, vol.49, issue.24, p.495407, 2004. ,
DOI : 10.1088/0031-9155/49/24/001
Metal artifact reduction in CT using tissue-class modeling and adaptive prefiltering, Medical Physics, vol.14, issue.8, pp.2852-2859, 2006. ,
DOI : 10.1088/0031-9155/49/24/001
Empirical cupping correction: A first-order raw data precorrection for cone-beam computed tomography, Medical Physics, vol.237, issue.P, 2006. ,
DOI : 10.1118/1.598853
A novel forward projection-based metal artifact reduction method for flat-detector computed tomography, Physics in Medicine and Biology, vol.54, issue.21, p.54, 2009. ,
DOI : 10.1088/0031-9155/54/21/009
Suppression of Metal Artifacts in CT Using a Reconstruction Procedure That Combines MAP and Projection Completion, IEEE Transactions on Medical Imaging, vol.28, issue.2, pp.250-260, 2009. ,
DOI : 10.1109/TMI.2008.929103
Empirical beam hardening correction (EBHC) for CT, Medical Physics, vol.1, issue.10, pp.5179-5187, 2010. ,
DOI : 10.1118/1.3477088
Joint reduce of metal and beam hardening artifacts using Multi-Energy map approach in X-ray Computed Tomography, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.737-740, 2011. ,
DOI : 10.1109/ICASSP.2011.5946509
Frequency split metal artifact reduction (FSMAR) in computed tomography, Medical Physics, vol.19, issue.2, pp.1904-1916, 2012. ,
DOI : 10.1118/1.3691902
Metal artifact reduction in computed tomography using local models in an image block-iterative scheme, Medical Physics, vol.49, issue.4, pp.7080-7093, 2012. ,
DOI : 10.1109/23.958379
CT metal artifact reduction method correcting for beam hardening and missing projections, Physics in Medicine and Biology, vol.57, issue.9, pp.2803-2818, 2012. ,
DOI : 10.1088/0031-9155/57/9/2803
Compton scatter effects in CT reconstructions, Medical Physics, vol.9, issue.6, pp.860-867, 1982. ,
DOI : 10.1118/1.595197
Semiempirical model for generating tungsten target x-ray spectra, Medical Physics, vol.18, issue.2, pp.211-218, 1991. ,
DOI : 10.1118/1.596709
Estimation of a photon energy spectrum for a computed tomography scanner, Medical Physics, vol.22, issue.5, pp.695-702, 1997. ,
DOI : 10.1118/1.598159
Monte Carlo simulation of x-ray spectra in diagnostic radiology and mammography using MCNP4C, Physics in Medicine and Biology, vol.49, issue.21, p.494897, 2004. ,
DOI : 10.1088/0031-9155/49/21/004
X-ray scatter correction algorithm for cone beam CT imaging, Medical Physics, vol.1, issue.6, pp.1195-1202, 2004. ,
DOI : 10.1118/1.1711475
Intersection Line Length Normalization in CT Projection Data, pp.77-81, 2008. ,
DOI : 10.1007/978-3-540-78640-5_16
Spurious structures created by interpolation-based CT metal artifact reduction, Medical Imaging 2009: Physics of Medical Imaging ,
DOI : 10.1117/12.813515
Optimal Threshold Selection for Tomogram Segmentation by Projection Distance Minimization, IEEE Transactions on Medical Imaging, vol.28, issue.5, pp.676-686, 2009. ,
DOI : 10.1109/TMI.2008.2010437
CT Metal Artifact Reduction Method Based on Improved Image Segmentation and Sinogram In-Painting, Mathematical Problems in Engineering, vol.29, issue.1, 2012. ,
DOI : 10.1109/TIP.2004.833105
URL : https://hal.archives-ouvertes.fr/inserm-00770481
A Method for Correcting Bone Induced Artifacts in Computed Tomography Scanners, Journal of Computer Assisted Tomography, vol.2, issue.1, 1978. ,
DOI : 10.1097/00004728-197801000-00017
A Comparative Study of Two Postreconstruction Beam Hardening Correction Methods, IEEE Transactions on Medical Imaging, vol.2, issue.3, 1983. ,
DOI : 10.1109/TMI.1983.4307626
A Framework for Spectral Artifact Corrections in X-Ray CT, IEEE Transactions on Biomedical Engineering, vol.28, issue.2, 1981. ,
DOI : 10.1109/TBME.1981.324786
Segmentation-free statistical image reconstruction for polyenergetic x-ray computed tomography with experimental validation, Physics in Medicine and Biology, vol.48, issue.15, p.2453, 2003. ,
DOI : 10.1088/0031-9155/48/15/314
A method for simultaneous correction of spectrum hardening artifacts in CT images containing both bone and iodine, Medical Physics, vol.28, issue.10, pp.1629-1634, 1997. ,
DOI : 10.1118/1.597970
Surface interpolation with radial basis functions for medical imaging, IEEE Transactions on Medical Imaging, vol.16, issue.1, pp.96-107, 1997. ,
DOI : 10.1109/42.552059
Iterative correction of beam hardening artifacts in CT, Medical Physics, vol.43, issue.S1, p.36, 2011. ,
DOI : 10.1109/42.370409
Cone-beam computed tomography with a flat-panel imager: Magnitude and effects of x-ray scatter, Medical Physics, vol.26, issue.2, pp.220-231, 2001. ,
DOI : 10.1118/1.1339879
A simple, direct method for x-ray scatter estimation and correction in digital radiography and cone-beam CT, Medical Physics, vol.19, issue.5, pp.187-197, 2006. ,
DOI : 10.1118/1.596836
A general framework and review of scatter correction methods in cone beam CT ,
A penalized weighted least-squares image reconstruction based on scatter correction methods for x-ray ct, Nuclear Science Symposium and Medical Imaging Conference 2013 IEEE, pp.1-3, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00843508
A simple and efficient super-short-scan algorithm of fan-beam reconstruction for multiple circular trajectories: solution towards the truncated data, Proceedings of CT Metting, pp.212-215, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01403846
A Threshold Selection Method from Gray-Level Histograms, IEEE Transactions on Systems, Man, and Cybernetics, vol.9, issue.1, pp.62-66, 1979. ,
DOI : 10.1109/TSMC.1979.4310076
A fast algorithm for multilevel thresholding, Journal of Information Science and Engineering, vol.17, pp.713-727, 0201. ,
Penalized weighted least-squares approach for low-dose x-ray computed tomography, Medical Imaging 2006: Physics of Medical Imaging, 2006. ,
DOI : 10.1117/12.653903
Strategies for Reducing Radiation Dose in CT, Radiologic Clinics of North America, vol.47, issue.1, pp.27-40, 2009. ,
DOI : 10.1016/j.rcl.2008.10.006
Short-scan fan-beam algorithms for CT. Nuclear Science, IEEE Transactions on, vol.27, issue.3, pp.1112-1120, 1980. ,
Image reconstruction from fanbeam projections on less than a short scan, p.2525, 2002. ,
DOI : 10.1088/0031-9155/47/14/311
New super-short-scan algorithms for fan-beam and cone-beam reconstruction, 2002 IEEE Nuclear Science Symposium Conference Record, pp.902-906, 2002. ,
DOI : 10.1109/NSSMIC.2002.1239470
A two-step Hilbert transform method for 2D image reconstruction, Physics in Medicine and Biology, vol.49, issue.17, p.493903, 2004. ,
DOI : 10.1088/0031-9155/49/17/006
Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT, Physics in Medicine and Biology, vol.49, issue.6, p.941, 2004. ,
DOI : 10.1088/0031-9155/49/6/006
Tomographic Reconstruction in the 21st Century, IEEE Signal Processing Magazine, vol.27, issue.4, pp.60-80, 2010. ,
DOI : 10.1109/MSP.2010.936743
URL : https://hal.archives-ouvertes.fr/ujm-00492771
The divergent beam x-ray transform, Rocky Mountain Journal of Mathematics, vol.10, issue.1, 1980. ,
DOI : 10.1216/RMJ-1980-10-1-253
Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan, Physics in Medicine and Biology, vol.50, issue.1, 2004. ,
DOI : 10.1088/0031-9155/50/1/002
Crofton's function and inversion formulas in real integral geometry. Functional Analysis and Its Applications, pp.1-5, 1991. ,
Rapport d'algorithme itératif, Laboratoire des Signaux et Systèmes, 2012. ,
Iterative Reconstruction for Reduction of Metal Artifacts in Computed Tomography, 2001. ,
A patchwork (back)projector to accelerate artifact reduction in CT reconstruction, IEEE Nuclear Science Symposuim & Medical Imaging Conference, pp.2625-2629, 2010. ,
DOI : 10.1109/NSSMIC.2010.5874265
Fanbeam data consistency conditions for applications to motion detection, Proceedings of CT Metting, pp.324-328, 2014. ,