Iterative image reconstruction in helical cone-beam x-ray CT using a stored system matrix approach

Physics in Medicine and Biology

Volumn 57, Issue 11, 2012, Pages 3477-3497

  Xu, Jingyan ^a   Tsui, Benjamin M W ^a  

^a JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

3D RECONSTRUCTION; CLINICAL SCANNERS; CONE BEAM; CONE-BEAM CT; CONE-BEAM GEOMETRIES; FIELD OF VIEWS; HELICAL SOURCE TRAJECTORY; ITERATIVE IMAGE RECONSTRUCTION; MEMORY REQUIREMENTS; ON CURRENTS; PATIENT DATA; PROJECTION VIEWS; SLICE THICKNESS; SOURCE POSITION; SYSTEM MATRICES; TRANSAXIAL; X RAY CT IMAGES; X-RAY CT;

HOSPITAL DATA PROCESSING; IMAGE RECONSTRUCTION; THREE DIMENSIONAL;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; CONE BEAM COMPUTED TOMOGRAPHY; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY;

ALGORITHMS; COMPUTER SIMULATION; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; PHANTOMS, IMAGING; SPIRAL CONE-BEAM COMPUTED TOMOGRAPHY;

EID: 84861125572     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/57/11/3477     Document Type: Article

References (28)

1. Andersen A and Kak A 1984 Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm Ultrason. Imaging 6 8194 (Pubitemid 14139189)
2. Bippus R-D, Köhler T, Bergner F, Brendel B, Hansis E and Proksa R 2011 Projector and backprojector for iterative CT reconstruction with blobs using CUDA Proc. 11th Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 6871
3. Bouman C and Sauer K 1996 A unified approach to statistical tomography using coordinate descent optimization IEEE Trans. Image Process. 5 48092 (Pubitemid 126778108)
4. Danielsson P E, Edholm P, Eriksson J and Magnusson S M 1997 Towards exact reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition Proc. 1997 Meeting on Fully 3D Image Reconstruction in Radiology and Nuclear Medicine p 141
5. De Man B and Basu S 2004 Distance-driven projection and backprojection in three dimensions Phys. Med. Biol. 49 2463 (Pubitemid 38867914)
6. 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 9991008 (Pubitemid 33777717)
7. Israel-Jost V, Choquet P, Salmon S, Blondet C, Sonnendrucker E and Constantinesco A 2006 Pinhole SPECT imaging: compact projection/backprojection operator for efficient algebraic reconstruction IEEE Trans. Med. Imaging 25 15867 (Pubitemid 43172570)
8. Jansen F, Qian H and Beque D 2009 Efficient algorithm for modeling keel-edge pinhole response NSS/MIC2009: IEEE Nucl. Sci. Symp. Conf. Rec. pp 387781
9. Kamphuis C and Beekman F 1998 Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm IEEE Trans. Med. Imaging 17 11015 (Pubitemid 128747770)
10. Katsevich A 2004 An improved exact filtered backprojection algorithm for spiral computed tomography Adv. Appl. Math. 32 68197 (Pubitemid 38670597)
11. Katsevich A 2006 3PI algorithms for helical computer tomography Adv. Appl. Math. 36 21350
12. Lange K and Fessler J A 1995 Globally convergent algorithms for maximum a posteriori transmission tomography IEEE Trans. Image Process. 4 14308
13. Lewitt R M 1990 Multidimensional digital image representations using generalized KaiserBessel window functions J. Opt. Soc. Am. A 7 183446
14. Long Y, Fessler J and Balter J 2010 3D forward and back-projection for x-ray CT using separable footprints IEEE Trans. Med. Imaging 29 183950
15. Noo F, Pack J and Heuscher D 2003 Exact helical reconstruction using native cone-beam geometries Phys. Med. Biol. 48 3787 (Pubitemid 37540460)
16. Ortuño J E, Kontaxakis G, Rubio J L, Guerra P and Santos A 2010 Efficient methodologies for system matrix modelling in iterative image reconstruction for rotating high-resolution PET Phys. Med. Biol. 55 183361
17. Scheins J, Herzog H and Shah N 2011 Fully-3D PET image reconstruction using scanner-independent, adaptive projection data and highly rotation-symmetric voxel assemblies IEEE Trans. Med. Imaging 30 87992
18. Schondube H, Stierstorfer K and Noo F 2009 Exact efficient handling of interrupted illumination in helical cone-beam CT with arbitrary pitch Proc. 10th Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine pp 947
19. Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 11322 (Pubitemid 13557763)
20. Snyder D L, OSullivan J A, Murphy R J, Politte D G, Whiting B R and Williamson J F 2006 Image reconstruction for transmission tomography when projection data are incomplete Phys. Med. Biol. 51 5603 (Pubitemid 44773335)
21. Steckmann S, Knaup M and Kachelrie M 2009 High performance cone-beam spiral backprojection with voxel-specific weighting Phys. Med. Biol. 54 3691
22. Steckmann S, Knaup M and Kachelrie M 2010 Algorithm for hyperfast cone-beam spiral backprojection Comput. Methods Programs Biomed. 98 25360
23. Stute S, Benoit D, Martineau A, Rehfeld N S and Buvat I 2011 A method for accurate modelling of the crystal response function at a crystal sub-level applied to PET reconstruction Phys. Med. Biol. 56 793
24. 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 452644 (Pubitemid 350029675)
25. van der Have F, Vastenhouw B, Rentmeester M and Beekman F 2008 System calibration and statistical image reconstruction for ultra-high resolution stationary pinhole SPECT IEEE Trans. Med. Imaging 27 96071
26. Xu J and Tsui B M W 2011 Iterative volume of interest image reconstruction in helical cone beam x-ray CT using a stored system matrix approach Proc. SPIE 7961 79612O
27. Ziegler A, Köhler T, Nielsen T and Proksa R 2006 Efficient projection and backprojection scheme for spherically symmetric basis functions in divergent beam geometry Med. Phys. 33 465363 (Pubitemid 44868103)
28. Ziegler A, Nielsen T and Grass M 2008 Iterative reconstruction of a region of interest for transmission tomography Med. Phys. 35 131727 (Pubitemid 351457499)