Modelling the physics in the iterative reconstruction for transmission computed tomography

Physics in Medicine and Biology

Volumn 58, Issue 12, 2013, Pages

  Nuyts, Johan ^a   De Man, Bruno ^b   Fessler, Jeffrey A ^c   Zbijewski, Wojciech ^d   Beekman, Freek J ^e  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b GE GLOBAL RESEARCH   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

^d Johns Hopkins University   (United States)

^e DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTERIZED TOMOGRAPHY; TURBULENT FLOW; X RAYS;

DETAILED MODELS; DISCRETIZATIONS; ENERGY SPECTRA; HIGHLY ACCURATE; IMAGE DEGRADING; ITERATIVE RECONSTRUCTION; PHOTON TRANSPORT; SPATIAL RESOLUTION;

IMAGE RECONSTRUCTION;

COMPUTER ASSISTED TOMOGRAPHY; HUMAN; IMAGE PROCESSING; MOVEMENT (PHYSIOLOGY); PHYSICAL PHENOMENA; PROCEDURES; RADIATION SCATTERING; THEORETICAL MODEL; METHODOLOGY; REVIEW;

HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; MOVEMENT; PHYSICAL PROCESSES; SCATTERING, RADIATION; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84878841290     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/58/12/R63     Document Type: Review

References (205)

1. Alvarez R E and Macovski A 1976 Energy-selective reconstructions in x-ray computed tomography Phys. Med. Biol. 21 733-44
2. Andersen A H and Kak A C 1984 Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm Ultrasonic Imaging 6 81-94 (Pubitemid 14139189)
3. Angel E et al 2009 Monte Carlo simulations to assess the effects of tube current modulation on breast dose for multidetector CT Phys. Med. Biol. 54 497-512
4. Badal A and Badano A 2009 Accelerating Monte Carlo simulations of photon transport in a voxelized geometry using a massively parallel graphics processing unit Med. Phys. 36 4878-80
5. Badano A and Sempau J 2006 MANTIS: combined x-ray, electron and optical Monte Carlo simulations of indirect radiation imaging systems Phys. Med. Biol. 51 1545-62 (Pubitemid 43332354)
6. Bae K T and Whiting B R 2001 CT data storage reduction by means of compressing projection data instead of images: feasibility study Radiology 219 850-5 (Pubitemid 32476284)
7. Beekman F J, De Jong H W and Slijpen E T 1999 Efficient SPECT scatter calculation in non-uniform media using correlated Monte Carlo simulation Phys. Med. Biol. 44 N183-92
8. Benson T M and De Man B K B 2010 Synthetic CT noise emulation in the raw data domain Proc. IEEE Nucl. Sci. Symp. Med. Imaging Conf. pp 3169-71
9. Benson T M and Gregor J 2006 Three-dimensional focus of attention for iterative cone-beam micro-CT reconstruction Phys. Med. Biol. 51 4533-46 (Pubitemid 44362513)
10. Bertram M, Sattel T, Hohmann S and Wiegert J 2008 Monte-Carlo scatter correction for cone-beam computed tomography with limited scan field-of-view Proc. SPIE 6913 69131Y (Pubitemid 351644018)
11. Bertram M, Wiegert J and Rose G 2005 Potential of software-based scatter corrections in cone-beam volume CT Proc. SPIE 5745 259-70 (Pubitemid 41146374)
12. Bertram M, Wiegert J and Rose G 2006 Scatter correction for cone-beam computed tomography using simulated object models Proc. SPIE 61421 61421C (Pubitemid 43944897)
13. Bian J, Siewerdsen J H, Han X, Sidky E Y, Prince J L, Pelizzari C A and Pan X 2010 Evaluation of sparse-view reconstruction from flat-panel-detector cone-beam CT Phys. Med. Biol. 55 6575-99
14. Bian J, Wang J, Han X, Sidky E Y, Shao L and Pan X 2013 Optimization-based image reconstruction from sparse-view data in offset-detector CBCT Phys. Med. Biol. 58 205-30
15. Blevis I M, Hunt D C and Rowlands J A 1998 X-ray imaging using amorphous selenium: Determination of Swank factor by pulse height spectroscopy Med. Phys. 25 638-41 (Pubitemid 28234882)
16. Bodensteiner C, Darolti C, Schumacher H, Matthäus L and Schweikard A 2007 Motion and positional error correction for cone beam 3D-reconstruction with mobile C-arms Int. Conf. on Medical Image Computing and Computer-Assisted Intervention pp 177-85
17. Bootsma G, Verhaegen F and Jaffray D 2012 SU-F-BRCD-04: efficient scatter distribution estimation and correction in CBCT using concurrent Monte Carlo fitting Med. Phys. 39 3856
18. Bowsher J E, Tornai M P, Peter J, González Trotter D E, Krol A, Gilland D R and Jaszczak R J 2002 Modeling the axial extension of a transmission line source within iterative reconstruction via multiple transmission sources IEEE. Trans. Med. Imaging 21 200-15 (Pubitemid 34630838)
19. Boyd D P 1979 Status of diagnostic x-ray CT: IEEE Trans. Nucl. Sci. 26 2835-9
20. Brankov J G, Yang Y and Wernick M N 2004 Tomographic image reconstruction based on a content-adaptive mesh model IEEE Trans. Med. Imaging 23 202-12
21. Brankov J G, Yang Y and Wernick M N 2005 Spatiotemporal processing of gated cardiac SPECT images using deformable mesh modeling Med. Phys. 32 2839-49 (Pubitemid 41384081)
22. Brooks R A and Di Chiro G 1976 Beam-hardening in x-ray reconstructive tomography Phys. Med. Biol. 21 390-8
23. Browne J A, Boone J M and Holmes T J 1995 Maximum-likelihood x-ray computed-tomography finite-beamwidth considerations Appl. Opt. 34 5199-209
24. Byrne C L 2008 Applied Iterative Methods (Wellesley, MA: A K Peters)
25. Cai W, Ning R and Conover D 2011 Scatter correction for clinical cone beam CT breast imaging based on breast phantom studies J. X-Ray Sci. Technol. 19 91-109
26. Carmi R, Shapiro O and Braunstein D 2004 Resolution enhancement of x-ray CT by spatial and temporal MLEM deconvolution correction IEEE Nucl. Sci. Symp. Med. Imaging Conf. Rec. pp 2765-8 (Pubitemid 41147841)
27. Carvalho B A and Herman G T 2007 Low-dose, large-angled cone-beam helical CT data reconstruction using algebraic reconstruction techniques Image Vis. Comput. 25 78-94 (Pubitemid 44691985)
28. Chun S Y and Fessler J A 2009 Joint image reconstruction and nonrigid motion estimation with a simple penalty that encourages local invertibility Proc. SPIE 7258 72580U
29. Chun S Y and Fessler J A 2012 Spatial resolution properties of motion-compensated image reconstruction methods IEEE Trans. Med. Imaging 31 1413-25
30. Clackdoyle R and Defrise M 2010 Tomographic reconstruction in the 21st century IEEE Signal Process. Mag. 7 60-80
31. Clinthorne N H 1994 A constrained dual-energy reconstruction method for material-selective transmission tomography Nucl. Instrum. Methods Phys. Res. A 353 347-8
32. Colijn A P and Beekman F J 2004 Accelerated simulation of cone beam x-ray scatter projections IEEE Trans. Med. Imaging 23 584-90
33. Colijn A P, Zbijewski W, Sasov A and Beekman F J 2004 Experimental validation of a rapid Monte Carlo based micro-CT simulator Phys. Med. Biol. 49 4321-33 (Pubitemid 39302690)
34. De Man B 2001 Iterative reconstruction for reduction of metal artifacts in computed tomography PhD dissertation KU Leuven, Belgium
35. De Man B and Basu S 2004 Distance-driven projection and backprojection in three dimensions Phys. Med. Biol. 49 2463-75 (Pubitemid 38867914)
36. De Man B, Edic P and Basu S 2003 Phase-weighted sparse-view iterative reconstruction for cardiac CT European College of Radiology Vienna, Austria
37. De Man B, Edic P M and Basu S 2005 An iterative algorithm for time-resolved reconstruction of a CT scan of a beating heart 8th Int. Meeting on Fully Three-Dimensional Image Construction in Radiology and Nuclear Medicine pp 356-9
38. De Man B and Fessler J A 2010 Statistical iterative reconstruction for x-ray computed tomography Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems ed Y Censor, M Jian and G Wang (Madison, WI: Medical Physics Publishing) pp 113-40
39. De Man B, Nuyts J, Dupont P and Marchal G 2000 Reduction of metal steak artifacts in x-ray computed tomography using a transmission maximum a posteriori algorithm IEEE Trans. Nucl. Sci. 47 977-81
40. De Man B, Nuyts J, Dupont P, Marchal G and Suetens P 2001 An iterative maximum-likelihood polychromatic algorithm for CT IEEE Trans. Med. Imaging 20 999-1008 (Pubitemid 33777717)
41. De Man B et al 2007 CatSim: a new computer assisted tomography simulation environment Proc. SPIE 6510 65102G (Pubitemid 47550192)
42. Depypere M, Nuyts J, van Gastel N, Carmeliet G, Maes F and Suetens P 2011 An iterative dual energy CT reconstruction method for a K-edge contrast material Proc. SPIE 7961 79610M
43. Elbakri I A and Fessler J A 2002 Statistical image reconstruction for polyenergetic x-ray computed tomography IEEE Trans. Med. Imaging 21 89-99 (Pubitemid 34466423)
44. Elbakri I A and Fessler J A 2003a Segmentation-free statistical image reconstruction for polyenergetic x-ray computed tomography with experimental validation Phys. Med. Biol. 48 2453-77 (Pubitemid 37020989)
45. Elbakri I A and Fessler J A 2003b Efficient and accurate likelihood for iterative image reconstruction in x-ray computed tomography Proc. SPIE 5032 1839-50
46. Endo M, Tsunoo T, Nakamori N and Yoshida K 2001 Effect of scattered radiation on image noise in cone beam CT Med. Phys. 28 469-74 (Pubitemid 32323298)
47. Evans J D, Whiting B R, Politte D G, O'Sullivan J A, Klahr P F and Williamson J F 2013 Experimental implementation of a polyenergetic statistical reconstruction algorithm for a commercial fan-beam CT scanner Phys. Med. at press (doi:10.1016/j.ejmp.2012.12.005)
48. Feng B, Fessler J A and King M A 2006 Incorporation of system resolution compensation (RC) in the ordered-subset transmission (OSTR) algorithm for transmission imaging in SPECT IEEE Trans. Med. Imaging 25 941-9 (Pubitemid 44088378)
49. Fessler J A 1994 Penalized weighted least-squares image reconstruction for positron emission tomography IEEE Trans. Med. Imaging 13 290-300
50. Fessler J A, Elbakri I, Sukovic P and Clinthorne N H 2002 Maximum-likelihood dual-energy tomographic image reconstruction Proc. SPIE 4684 38-49 (Pubitemid 35237243)
51. Forthmann P, Köhler T, Begemann P G C and Defrise M 2007 Penalized maximum-likelihood sinogram restoration for dual focal spot computed tomography Phys. Med. Biol. 52 4513-23 (Pubitemid 47103139)
52. Frush D P, Slack C C, Hollingsworth C L, Bisset G S, Donnelly L F, Hsieh J, Lavin-Wensell T and Mayo J R 2002 Computer simulated radiation dose reduction for abdominal multidetector CT of pediatric patients Am. J. Roentgenol. 179 1107-13 (Pubitemid 35204359)
53. Gies M, Kalender W A, Wolf H and Suess C 1999 Dose reduction in CT by anatomically adapted tube current modulation: I. Simulation studies Med. Phys. 26 2235-47
54. Ginzburg A and Dick C E 1993 Image information transfer properties of x-ray intensifying screens in the energy range from 17 to 320 keV Med. Phys. 20 1013-21 (Pubitemid 23249846)
55. Glover G H 1982 Compton scatter effects in CT reconstructions Med. Phys. 9 860-7 (Pubitemid 13211407)
56. Glover G H and Pelc N J 1980 Nonlinear partial volume artifacts in x-ray computed tomography Med. Phys. 7 238-48 (Pubitemid 10107784)
57. Goertzen A L, Beekman F J and Cherry S R 2002 Effect of phantom voxelization in CT simulations Med. Phys. 29 492-8 (Pubitemid 34408762)
58. Gordon R, Bender R and Herman G T 1970 Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography J. Theor. Biol. 29 471-81
59. Greess H, Wolf H, Baum U, Lell M, Pirkl M, Kalender W and Bautz W A 2000 Dose reduction in computed tomography by attenuation-based on-line modulation of tube current: evaluation of six anatomical regions Eur. Radiol. 10 391-4 (Pubitemid 30136846)
60. Hamelin B, Goussard Y and Dussault J-P 2007 Penalized-likelihood region-of-interest CT reconstruction by local object supersampling Proc. 29th Annu. Int. Conf. on IEEE Engineering in Medicine and Biology Society pp 739-42
61. Hamelin B, Goussard Y, Dussault J-P, Beaudoin G and Soulez G 2010 Design of iterative ROI transmission tomography reconstruction procedures and image quality analysis Med. Phys. 37 4577-89
62. Heismann B J, Schmidt B T and Flohr T 2012 Spectral Computed Tomography (Bellingham WA: SPIE Optical Engineering Press)
63. Herman G T 1979 Correction for beam hardening in computed tomography Phys. Med. Biol. 24 81-106 (Pubitemid 9097149)
64. Herman G T and Davidi R 2008 Image reconstruction from a small number of projections Inverse Problems 24 045011
65. Herman G T and Trivedi S S 1983 A comparative study of two postreconstruction beam hardening correction methods IEEE Trans. Med. Imaging 2 128-35
66. Hsieh J, Molthen R C, Dawson C A and Johnson R H 2000 An iterative approach to the beam hardening correction in cone beam CT Med. Phys. 27 23-29 (Pubitemid 30051907)
67. Hurwitz L M, Yoshizumi T T, Goodman P C, Nelson R C, Toncheva G, Nguyen G B, Lowry C and Anderson-Evans C 2009 Radiation dose savings for adult pulmonary embolus 64-MDCT using bismuth breast shields, lower peak kilovoltage and automatic tube current modulation Am. J. Roentgenol. 192 244-53
68. Iatrou M, De Man B, Khare K and Benson T M 2007 A 3D study comparing filtered backprojection, weighted least squares and penalized weighted least squares for CT reconstruction Proc. IEEE Nucl. Sci. Symp. Med. Imaging Conf. 2639-43
69. Isola A A, Grass M and Niessen W J 2010 Fully automatic nonrigid registration-based local motion estimation for motion-corrected iterative cardiac CT reconstruction Med. Phys. 37 1093-109
70. Isola A A, Ziegler A, Koehler T, Niessen W J and Grass M 2008 Motion-compensated iterative cone-beam CT image reconstruction with adapted blobs as basis functions Phys. Med. Biol. 53 6777-97
71. Jarry G, Graham S A, Jaffray D A, Moseley D J and Verhaegen F 2006 Scatter correction for kilovoltage cone-beam computed tomography (CBCT) images using Monte Carlo simulations Proc. SPIE 6142 14254
72. Jin J Y, Ren L, Liu Q, Kim J, Wen N, Guan H, Movsas B and Chetty I J 2010 Combining scatter reduction and correction to improve image quality in cone-beam computed tomography (CBCT) Med. Phys. 37 5634-44
73. Johns P C and Yaffe M 1982 Scattered radiation in fan beam imaging-systems Med. Phys. 9 231-9 (Pubitemid 12149639)
74. Johnston S M, Johnson G A and Badea C T 2012 Temporal and spectral imaging with micro-CT Med. Phys. 39 4943-58
75. Jorgensen B 1987 Exponential dispersion models J. R. Stat. Soc. B 49 127-62 (available at www.jstor.org/ stable/2345415)
76. Joseph P M 1982 An improved algorithm for reprojecting rays through pixel images IEEE Trans. Med. Imaging 1 192-6
77. Joseph P M and Ruth C 1997 A method for simultaneous correction of spectrum hardening artifacts in CT images containing both bone and iodine Med. Phys. 24 1629-34 (Pubitemid 27449551)
78. Joseph P M and Spital R D 1978 A method for correcting bone induced artifacts in computed tomography scanners J. Comput. Assist. Tomogr. 2 100-8 (Pubitemid 8260665)
79. Joseph P M and Spital R D 1981 The exponential edge-gradient effect in x-ray computed tomography Phys. Med. Biol. 26 473-87 (Pubitemid 11096430)
80. Joseph P M and Spital R D 1982 The effects of scatter in X-ray computed-tomography Med. Phys. 9 464-72 (Pubitemid 12090959)
81. Kaipio J and Somersalo E 2007 Statistical inverse problems: discretization, model reduction and inverse crimes J. Comput. Appl. Math. 198 493-504 (Pubitemid 44402950)
82. Kalender W A 2006 X-ray computed tomography Phys. Med. Biol. 51 R29-43
83. Kalender W A and Kyriakou Y 2007 Flat-detector computed tomography (FD-CT) Eur. Radiol. 17 2767-79 (Pubitemid 47603972)
84. Kalender W A, Wolf H and Suess C 1999 Dose reduction in CT by anatomically adapted tube current modulation: II. Phantom measurements Med. Phys. 26 2248-53
85. Karmazyn B, Frush D P, Applegate K E, Maxfield C, Cohen M D and Jones R P 2009 CT with a computer-simulated dose reduction technique for detection of pediatric nephroureterolithiasis: comparison of standard and reduced radiation doses Am. J. Roentgenol. 192 143-9
86. Katsevich A 2002 Analysis of an exact inversion algorithm for spiral cone-beam CT Phys. Med. Biol. 47 2583-97
87. Knoll G F 2000 Radiation Detection and Measurement 3rd edn (New York: Wiley)
88. Kunze H, Stierstorfer K and Haerer W 2005 Year. Pre-processing of projections for iterative reconstruction 8th Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 84-87
89. Kwan A L, Boone J M and Shah N 2005 Evaluation of x-ray scatter properties in a dedicated cone-beam breast CT scanner Med. Phys. 32 2967-75 (Pubitemid 41384094)
90. Kyprianou L S, Rudin S, Bednarek D R and Hoffmann K R 2005 Generalizing the MTF and DQE to include x-ray scatter and focal spot unsharpness: application to a new microangiographic system Med. Phys. 32 613-26 (Pubitemid 40322343)
91. Kyriakou Y, Meyer E, Prell D and Kachelriess M 2010 Empirical beam hardening correction (EBHC) for CT Med. Phys. 37 5179-87
92. Kyriakou Y, Riedel T and Kalender W A 2006 Combining deterministic and Monte Carlo calculations for fast estimation of scatter intensities in CT Phys. Med. Biol. 51 4567-86 (Pubitemid 44362515)
93. Lange K and Carson R 1984 EM reconstruction algorithms for emission and transmission tomography J. Comput. Assist. Tomogr. 8 306-16 (Pubitemid 14169679)
94. La Rivière P J, Bian J and Vargas P A 2006 Penalized-likelihood sinogram restoration for computed tomography IEEE. Trans. Med. Imaging 25 1022-36 (Pubitemid 44192174)
95. La Riviére P J and Vargas P 2008 Correction for resolution nonuniformities caused by anode angulation in computed tomography IEEE Trans. Med. Imaging 27 1333-41
96. Lasio G M, Whiting B R and Williamson J F 2007 Statistical reconstruction for x-ray computed tomography using energy-integrating detectors Phys. Med. Biol. 52 2247-66 (Pubitemid 46553649)
97. Lee H, Xing L, Lee R and Fahimian B P 2012 Scatter correction in cone-beam CT via a half beam blocker technique allowing simultaneous acquisition of scatter and image information Med. Phys. 39 2386-95
98. Lei T 2011 Statistics of Medical Imaging (Boca Raton, FL: Chapman and Hall/CRC)
99. Lewitt R M 1990 Multidimensional digital image representations using generalized Kaiser-Bessel window functions J. Opt. Soc. Am. A 7 1834-46
100. Lewitt R M 1992 Alternatives to voxels for image representation in iterative reconstruction algorithms Phys. Med. Biol. 37 706-16
101. Li H, Mohan R and Zhu X R 2008 Scatter kernel estimation with an edge-spread function method for cone-beam computed tomography imaging Phys. Med. Biol. 53 6729-48
102. Little K J and La Rivière P J 2012 An algorithm for modeling non-linear system effects in iterative CT reconstruction IEEE Nucl. Sci. Symp. Med. Imaging Conf. Rec. pp 2174-7
103. Liu X, Shaw C, Altunbas M and Wang T 2005 A scanning sampled measurement (SSM) technique for scatter measurement and correction in cone beam breast CT Med. Phys. 32 2093
104. Liu X, Yu L, Primak A N and McCollough C H 2009 Quantitative imaging of element composition and mass fraction using dual-energy CT: three-material decomposition Med. Phys. 36 1602-9
105. Long Y and Fessler J A 2012 Multi-material decomposition using statistical image reconstruction in x-ray CT Proc. 2nd Int. Mtg. on image formation in X-ray CT pp 413-6
106. Long Y, Fessler J A and Balter J M 2010 3D forward and back-projection for x-ray CT using separable footprints IEEE Trans. Med. Imaging 29 1839-50
107. Long Y, Fessler J A and Balter J M 2011 Two-material decomposition from a single CT scan using statistical image reconstruction Proc. Joint AAPM Conf. Meeting p 3810
108. Love L A and Kruger R A 1987 Scatter estimation for a digital radiographic system using convolution filtering Med. Phys. 14 178-85 (Pubitemid 17063679)
109. Lucy L B 1974 An iterative technique for the rectification of observed distributions Astron. J. 79 745-54
110. Ma J, Liang Z, Fan Y, Liu Y, Huang J, Chen W and Lu H 2012 Variance analysis of x-ray CT sinograms in the presence of electronic noise background Med. Phys. 39 4051-65
111. Maass C, Meyer E and Kachelriess M 2011 Exact dual energy material decomposition from inconsistent rays (MDIR) Med. Phys. 38 691-700
112. Mainegra-Hing E and Kawrakow I 2010 Variance reduction techniques for fast Monte Carlo CBCT scatter correction calculations Phys. Med. Biol. 55 4495-507
113. Maltz J S, Gangadharan B, Bose S, Hristov D H, Faddegon B A, Paidi A and Bani-Hashemi A R 2008 Algorithm for x-ray scatter, beam-hardening, and beam profile correction in diagnostic (kilovoltage) and treatment (megavoltage) cone beam CT IEEE Trans. Med. Imaging 27 1791-810
114. Massoumzadeh P, Don S, Hildebolt C F, Bae K T and Whiting B R 2009 Validation of CT dose-reduction simulation Med. Phys. 36 174-89
115. Matej S and Lewitt RM 1996 Practical considerations for 3-D image reconstruction using spherically symmetrical volume elements IEEE. Trans. Med. Imaging 15 68-78 (Pubitemid 126780300)
116. Mayo J R, Whittall K P, Leung A N, Hartman T E, Park C S, Primack S L, Chambers G K, Limkeman M K, Toth T L and Fox S H 1997 Simulated dose reduction in conventional CT: validation study Radiology 202 453-7 (Pubitemid 27051742)
117. McDavid W D, Waggener R G, Payne W H and Dennis M J 1975 Spectral effects on three-dimensional reconstruction from x-rays Med. Phys. 2 321-4
118. Mendonca P R S, Bhotika R, Thomsen B W, Licato P E and Joshi M C 2010 Multi-material de-composition of dual-energy CT data Proc. SPIE 7622 76221W
119. Meyer M, Kalender W A and Kyriakou Y 2010 A fast and pragmatic approach for scatter correction in flat-detector CT using elliptic modeling and iterative optimization Phys. Med. Biol. 55 99-120
120. Michielsen K, Van Slambrouck K, Jerbko A and Nuyts J 2013 Patchwork reconstruction with resolution modeling for digital breast tomosynthesis Med. Phys. 40 031105
121. Neitzel U 1992 Grids or air gaps for scatter reduction in digital radiography: a model calculation Med. Phys. 19 475-81
122. Neukirchen C, Giordano M and Wiesner S 2010 An iterative method for tomographic x-ray perfusion estimation in a decomposition model-based approach Med. Phys. 37 6125-41
123. Nien H and Fessler J A 2013 Splitting-based statistical x-ray CT image reconstruction with blind gain correction Proc. SPIE. 8668 8668-53
124. Ning R, Tang X Y and Conover D 2004 X-ray scatter correction algorithm for cone beam CT imaging Med. Phys. 31 1195-202 (Pubitemid 38656792)
125. Niu T, Al-Basheer A and Zhu L 2012 Quantitative cone-beam CT imaging in radiation therapy using planning CT as a prior: first patient studies Med. Phys. 39 1991-2000
126. Niu T and Zhu L 2011 Scatter correction for full-fan volumetric CT using a stationary beam blocker in a single full scan Med. Phys. 38 6027-38
127. Noo F, Pack J and Heuscher D 2003 Exact helical reconstruction using native cone-beam geometries Phys. Med. Biol. 48 3787-818 (Pubitemid 37540460)
128. Nuyts J, De Man B, Dupont P, Defrise M, Suetens P and Mortelmans L 1998 Iterative reconstruction for helical CT: a simulation study Phys. Med. Biol. 43 729-37 (Pubitemid 28168404)
129. Nuyts J, Kim J and Fulton R 2011 Iterative CT reconstruction with correction for known rigid motion 11th Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 132-35
130. O'Sullivan J A and Benac J 2003 Alternating minimization multigrid algorithms for transmission tomography Proc. SPIE 5299 216-21
131. O'Sullivan J A and Benac J 2007 Alternating minimization algorithms for transmission tomography IEEE Trans. Med. Imaging 26 283-97 (Pubitemid 46392338)
132. Pack J D, Noo F and Kudo H 2004 Investigation of saddle trajectories for cardiac CT imaging in cone-beam geometry Phys. Med. Biol. 49 2317-36 (Pubitemid 38867904)
133. Pan X, Sidky E Y and Vannier M 2009 Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction? Inverse Problems 25 123009
134. Parker D L 1982 Optimal short scan convolution reconstruction for fanbeam CT Med. Phys. 9 254-7 (Pubitemid 12149642)
135. Poludniowski G, Evans P M, Hansen V N and Webb S 2009 An efficient Monte Carlo-based algorithm for scatter correction in keV cone-beam CT Phys. Med. Biol. 54 3847-64
136. Rathee S, Koles Z J and Overton T R 1992 Image restoration in computed tomography: the spatially invariant point spread function IEEE Trans. Med. Imaging 11 530-8
137. Richardson W H 1972 Bayesian-based iterative method of image restoration J. Opt. Soc. Am. 62 55-59
138. Ritchie C J, Godwin D, Crawford C R, Stanford W, Anno H and Kim Y 1992 Minimum scan speeds for suppression of motion artifacts in CT Radiology 185 37-42
139. Ruhrnschopf E P and Klingenbeck K 2011a A general framework and review of scatter correction methods in x-ray cone-beam computerized tomography: part 1. Scatter compensation approaches Med. Phys. 38 4296-311
140. Ruhrnschopf E P and Klingenbeck K 2011b A general framework and review of scatter correction methods in cone beam CT: part 2. Scatter estimation approaches Med. Phys. 38 5186-99
141. Sauer K and Bouman C 1993 A local update strategy for iterative reconstruction from projections IEEE Trans. Signal Process. 41 534-48 (Pubitemid 23609319)
142. Sechopoulos I 2012 X-ray scatter correction method for dedicated breast computed tomography Med. Phys. 39 2896-903
143. Seibert J A and Boone J M 1988 X-ray scatter removal by deconvolution Med. Phys. 15 567-75
144. Semerci O and Miller E L 2012 A parametric level set approach to simultaneous object identification and background reconstruction for dual energy computed tomography IEEE Trans. Image Process. 21 2917-34
145. Shikhaliev P M 2005 Beam hardening artefacts in computed tomography with photon counting, charge integrating and energy weighting detectors: a simulation study Phys. Med. Biol. 50 5813-28 (Pubitemid 41795835)
146. Siddon R L 1985 Fast calculation of the exact radiological path for a three-dimensional CT array Med. Phys. 12 252-5 (Pubitemid 15089015)
147. Sidky E Y, Kao C-M and Pan X 2006 Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT J. X-Ray Sci. Technol. 14 119-39 (Pubitemid 43893801)
148. Sidky E Y and Pan X 2008 Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization Phys. Med. Biol. 53 4777-807
149. Siewerdsen J H, Antonuk L E, El-Mohri Y, Yorkston J, Huang W, Boudry J M and Cunningham I A 1997 Empirical and theoretical investigation of the noise performance of indirect detection, active matrix flat-panel imagers (AMFPIs) for diagnostic radiology Med. Phys. 24 71-89 (Pubitemid 27051933)
150. Siewerdsen J H, Daly M J, Bakhtiar B, Moseley D J, Richard S, Keller H and Jaffray D A 2006 A simple, direct method for x-ray scatter estimation and correction in digital radiography and cone-beam CT Med. Phys. 33 187-97 (Pubitemid 43121048)
151. Siewerdsen J H and Jaffray D A 2001 Cone-beam computed tomography with a flat-panel imager: magnitude and effects of x-ray scatter Med. Phys. 28 220-31 (Pubitemid 32165760)
152. Siewerdsen J H, Moseley D J, Bakhtiar B, Richard S and Jaffray D A 2004 The influence of antiscatter grids on soft-tissue detectability in cone-beam computed tomography with flat-panel detectors Med. Phys. 31 3506-20 (Pubitemid 40065003)
153. Snyder D L, Hammoud A M and White R L 1993 Image recovery from data acquired with a charge-coupled-device camera J. Opt. Soc. Am. A 10 1014-23
154. Snyder D L, Helstrom C W, Lanterman A D, Faisal M and White R L 1995 Compensation for readout noise in CCD images J. Opt. Soc. Am. A 12 272-83
155. Snyder D L and Miller M I 1985 The use of sieves to stabilize images produced with the EM algorithm for emission tomography IEEE Trans. Nucl. Sci. NS-32 3864-72
156. Snyder D L, Miller M I, Thomas L J and Politte D G 1987 Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography IEEE Trans. Med. Imaging 6 228-38
157. Spanier J and Gelbard E M 1969 Monte Carlo Principles and Neutron Transport Problems (Reading, MA: Addison-Wesley)
158. Srivastava S, Cammin J, Fung G S K, Tsui B M W and Taguchi K 2012 Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration Proc. SPIE 8313 831311
159. Stayman J W, Dang H, Otake Y, Zbijewski W, Noble J, Dawant B, Labadie R F, Carey J P and Siewerdsen J H 2013 Overcoming nonlinear partial volume effects in known-component reconstruction of cochlear implants Proc. SPIE 8668 86681L
160. Sukovic P and Clinthorne N H 2000 Penalized weighted least-squares image reconstruction for dual energy x-ray transmission tomography IEEE Trans. Med. Imaging 19 1075-81 (Pubitemid 32189051)
161. Sun M and Star-Lack J M 2010 Improved scatter correction using adaptive scatter kernel superposition Phys. Med. Biol. 55 6695-720
162. Swank R K 1973 Absorption and noise in x-ray phosphors J. Appl. Phys. 44 4199-203
163. Taguchi K, Srivastava S, Tang Q, Caffo B S, Iwanczyk J S, Hartsough N E, Barber W C and Cammin J 2012 Pulse pileup statistics for energy sensitive photon counting detectors with pulse height analysis Proc. SPIE 8313 83130Z
164. Takahashi T, Itoh H, Shimada T and Takeuchi H 1990 Design of integrated radiation detectors with a-si photodiodes on ceramic scintillators for use in x-ray computed tomography IEEE Trans. Nucl. Sci. 37 1478-82 (Pubitemid 20726067)
165. Tam K C, Samarasekera S and Sauer F 1998 Exact cone beam CT with a spiral scan Phys. Med. Biol. 43 1015-24 (Pubitemid 28168429)
166. Tang J, Hsieh H and Chen G-H 2010 Temporal resolution improvement in cardiac CT using PICCS (TRI-PICCS): performance studies Med. Phys. 37 4377-88
167. Thibault J-B, Bouman C A, Sauer K D and Hsieh J 2006 A recursive filter for noise reduction in statistical iterative tomographic imaging Proc. SPIE 6065 60650X
168. Thibault J B, Sauer K D, Bouman C A and Hsieh J 2007 A three-dimensional statistical approach to improved image quality for multislice helical CT Med. Phys. 34 4526-44 (Pubitemid 350029675)
169. Thibault J-B, Yu Z, Sauer K, Bouman C and Hsieh J 2007 Correction of gain fluctuations in iterative tomographic image reconstruction Proc. Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 112-5
170. Toth T L, Cesmeli E, Ikhlef A and Horiuchi T 2005 Image quality and dose optimization using novel x-ray source filters tailored to patient size Proc. SPIE 5745 283-91 (Pubitemid 41146376)
171. Van Slambrouck K and Nuyts J 2012 Metal artifact reduction in computed tomography using local models in an image block-iterative scheme Med. Phys. 39 7080-93
172. Wang A S, Feng C and Pelc N J 2012 Image-based synthetic CT: simulating arbitrary low dose single and dual energy protocols from dual energy images Proc. SPIE 8313 83131G
173. Wang G, Lin T-H and Cheng P C 1993 A general cone-beam reconstruction algorithm IEEE Trans. Med. Imaging 12 486-96
174. Wang G, Vannier M W, Skinner M W, Cavalcanti M G P and Harding G W 1998 Spiral CT image deblurring for cochlear implantation IEEE Trans. Med. Imaging 17 251-62 (Pubitemid 128747678)
175. Wang J, Mao W and Solberg T 2010 Scatter correction for cone-beam computed tomography using moving blocker strips: a preliminary study Med. Phys. 37 5792-800
176. Whiting B R 2002 Signal statistics in x-ray computed tomography Proc. SPIE 4682 53-60 (Pubitemid 35237098)
177. Whiting B R, Massoumzadeh P, Earl O A, O'Sullivan J A, Snyder D L and Williamson J F 2006 Properties of preprocessed sinogram data in x-ray computed
178. Xiao J, Verzijlbergen F J, Viergever M A and Beekman F J 2010 Small field-of-view dedicated cardiac SPECT systems: impact of projection truncation Eur. J. Nucl. Med. Mol. Imaging 37 528-36
179. Xu D, Langan D A, Wu X, Pack J D, Benson T M, Tkaczky J E and Schmitz A M 2009 Dual energy CT via fast kVp switching spectrum estimation Proc. SPIE 7258 72583T
180. Xu J, Frey E C, Taguchi K and Tsui B M W 2007 A Poisson likelihood iterative reconstruction algorithm for material decomposition in CT Proc. SPIE 6510 65101Z (Pubitemid 47550175)
181. Xu J and Tsui B M W 2007 A compound Poisson maximum-likelihood iterative reconstruction algorithm for x-ray CT Proc. Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 108-11
182. Xu J and Tsui B M W 2009 Electronic noise modeling in statistical iterative reconstruction IEEE Trans. Image Process. 18 1228-38
183. Xu Q et al 2012 Image reconstruction for hybrid true-color micro-CT IEEE Trans. Biomed. Eng. 59 1711-9
184. Yan C H, Whalen R T, Beaupré G S, Yen S Y and Napel S 2000 Reconstruction algorithm for polychromatic CT imaging: application to beam hardening correction IEEE Trans. Med. Imaging 19 1-11 (Pubitemid 30594950)
185. Yang K, Burkett G and Boone J M 2012 An object-specific and dose-sparing scatter correction approach for a dedicated cone-beam breast CT system using a parallel-hole collimator Proc. SPIE 8313 831303
186. Yao W and Leszczynski K W 2009 An analytical approach to estimating the first order scatter in heterogeneous medium: II. A practical application Med. Phys. 36 3157-67
187. Yu D F and Fessler J A 2000 Mean and variance of singles photon counting with deadtime Phys. Med. Biol. 45 2043-56 (Pubitemid 30489684)
188. Yu D F and Fessler J A 2002 Mean and variance of coincidence photon counting with deadtime Nucl. Instrum. Methods Phys. Res. A 488 362-74 (Pubitemid 34808651)
189. Yu D F, Fessler J A and Ficaro E P 2000 Maximum-likelihood transmission image reconstruction for overlapping transmission beams IEEE Trans. Med. Imaging 19 1094-105 (Pubitemid 32189049)
190. Yu H and Wang G 2012 Finite detector based projection model for high spatial resolution J. X-Ray Sci. Technol. 20 229-38
191. Yu Z, Thibault J-B, Wang J, Bouman C A and Sauer K D 2011 Kinetic model for motion compensation in computed tomography 11th Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 466-69
192. Zabic S, Wang Q and Brown K M 2012 A low-dose simulation tool Proc. 2nd Int. Meeting on Image Formation in X-Ray CT pp 61-65
193. Zbijewski W and Beekman F J 2004a Characterization and suppression of edge and aliasing artefacts in iterative x-ray CT reconstruction Phys. Med. Biol. 49 145-57 (Pubitemid 38100628)
194. Zbijewski W and Beekman F J 2004b Suppression of intensity transition artifacts in statistical x-ray computer tomography reconstruction through radon inversion initialization Med. Phys. 31 62-69 (Pubitemid 38113867)
195. Zbijewski W and Beekman F J 2006a Comparison of methods for suppressing edge and aliasing artefacts in iterative x-ray CT reconstruction Phys. Med. Biol. 51 1877-89
196. Zbijewski W and Beekman F J 2006b Efficient Monte Carlo based scatter artifact reduction in cone-beam micro-CT IEEE Trans. Med. Imaging 25 817-27 (Pubitemid 44088367)
197. Zbijewski W, Sisniega A, Vaquero J J, Muhit A, Packard N, Senn R, Yang D, Yorkston J, Carrino J A and Siewerdsen J H 2012 Dose and scatter characteristics of a novel cone beam CT system for musculoskeletal extremities Proc. SPIE 8313 8313-18
198. Zeng K, De Man B and Thibault J 2009a Correction of iterative reconstruction artifacts in helical cone-beam CT 10th Int. Conf. on Fully Three-Dimensional Reconstruction in Radiology and Nuclear Medicine pp 242-45
199. Zeng K, De Man B, Thibault J B, Yu Z, Bouman C and Sauer K 2009b Spatial resolution enhancement in CT iterative reconstruction IEEE Nucl. Sci. Symp. Med. Imaging Conf. Rec. pp 3748-51
200. Zhou J and Qi J 2011 Fast iterative image reconstruction using sparse matrix factorization with GPU acceleration Proc. SPIE 7961 79610K
201. Zhu L, Bennett N R and Fahrig R 2006 Scatter correction method for x-ray CT using primary modulation: theory and preliminary results IEEE Trans. Med. Imaging 25 1573-87 (Pubitemid 44936707)
202. Zhu L, Strobel N and Fahrig R 2005 X-ray scatter correction for cone-beam CT using moving blocker array Proc. SPIE 5745 251-8 (Pubitemid 41146373)
203. Ziegler A, Kohler T, Nielsen T and Proksa R 2006 Efficient projection and backprojection scheme for spherically symmetric basis functions in divergent beam geometry Med. Phys. 33 4653-63 (Pubitemid 44868103)
204. Ziegler A, Nielsen T and Grass M 2008 Iterative reconstruction of a region of interest for transmission tomography Med. Phys. 35 1317-27 (Pubitemid 351457499)
205. Zou Y and Silver M D 2008 Analysis of fast kV-switching in dual energy CT using a pre-reconstruction decomposition technique Proc. SPIE 6913 691313 (Pubitemid 351643989)