A three-dimensional weighted cone beam filtered backprojection (CB-FBP) algorithm for image reconstruction in volumetric CT under a circular source trajectory

Physics in Medicine and Biology

Volumn 50, Issue 16, 2005, Pages 3889-3905

  Tang, Xiangyang ^a   Hsieh, Jiang ^a   Hagiwara, Akira ^a   Nilsen, Roy A ^a   Thibault, Jean Baptiste ^a   Drapkin, Evgeny ^a  

^a GE HEALTHCARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CARDIOLOGY; IMAGE RECONSTRUCTION; TRAJECTORIES;

CONE BEAM (CB); DATA SUFFICIENCY CONDITION (DSC); FILTERED BACKPROJECTION ALGORITHM (FPA); SCANNING TRAJECTORIES;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; CONJUGATION; EVALUATION; GEOMETRY; PRIORITY JOURNAL; RADIATION BEAM; VOLUMETRY;

ALGORITHMS; ARTIFACTS; HEAD; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MODELS, STATISTICAL; MODELS, THEORETICAL; PHANTOMS, IMAGING; RADIOGRAPHIC IMAGE ENHANCEMENT; SCATTERING, RADIATION; TOMOGRAPHY, X-RAY COMPUTED;

EID: 23744435329     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/50/16/016     Document Type: Article

References (39)

1. Crawford C R and King K F 1990 Computed tomography scanning with simultaneous patient translation Med. Phys. 17 967-82
2. Danielsson P E, Edholm P, Eriksson J and Magnusson-Seger M 1997 Towards exact 3D-reconstruction for helical cone-beam scanning of long objects: a new arrangement and a new completeness condition International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine (Pittsburgh) ed D W Townsend and P E Kinahan pp 25-8
3. Defrise M, Noo F and Kudo H 2000 A solution to the long-object problem in helical cone-beam tomography Phys. Med. Biol. 45 623-44
4. Feldkamp L A, Davis L C and Kress J W 1984 Practical cone-beam algorithm J. Opt. Soc. Am. A 1 612-9
5. Grass M, Khler T and Proksa R 2000 3D cone-beam reconstruction for circular trajectories Phys. Med. Biol. 45 329-47
6. Grass M, Khler T and Proksa R 2001 Angular weighted hybrid cone-beam CT reconstruction for circular trajectories Phys. Med. Biol. 46 1595-610
7. Hsieh J 1996 A general approach to the reconstruction of x-ray helical computed tomography Med. Phys. 23 221-9
8. Hsieh J 1997 Nonstationary noise characteristics of the helical scan and its impact on image quality and artifacts Med. Phys. 24 1375-84
9. Hsieh J 2001a Methods and apparatus for cone-tilted parallel sampling and reconstruction US Patent 6,263,040 B1
10. Hsieh J 2001b Cone-beam CT scanner with image reconstruction using multiple sub-images US Patent 6,678,346 B2
11. Hsieh J 2002 N-segment cone beam reconstruction algorithm for single circular orbit CT Radiology 225(P) 253
12. Hu H 1997 Exact regional reconstruction of longitudinally-unbounded objects using the circle-and-line cone beam tomographic system Proc. SPIE 3032 441-4
13. Kachelrieß M and Kalender W 2003 Extended parallel backprojection (EPBP) for arbitrary cone angle and arbitrary pitch 3D and phase-correlated 4D CT reconstruction The VIIth International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine (Saint-Malo)
14. Katsevich A 2002a Analysis of an exact inversion algorithm for spiral cone-beam CT Phys. Med. Biol. 47 2583-98
15. Katsevich A 2002b Theoretically exact filtered backprojection-type inversion algorithm for spiral CT SIAM J. Appl. Math. 62 2012-26
16. Kudo H, Noo F and Defrise M 1998 Cone-beam filtered-backprojection algorithm for truncated helical data Phys. Med. Biol. 43 2885-909
17. Liu Y, Liu H, Wang Y and Wang G 2001 Half-scan cone-beam CT fluoroscopy with multiple x-ray sources Med. Phys. 28 1466-71
18. Noo F, Clack R, White T A and Roney T J 1998 The dual-ellipse cross vertex path for exact reconstruction of long objects in cone-beam tomography Phys. Med. Biol. 43 797-810
19. Pan X 1999 Optimal noise control in and fast reconstruction of fan-beam computed tomography image Med. Phys. 26 689-97
20. Parker D L 1982 Optimal short scan convolution reconstruction for fan-beam CT Med. Phys. 9 254-7
21. Patch S K, Nishide A and Hagiwara A 2002 Volumetric computed tomography data weights - resolution vs. artifact Radiology 225(P) 496
22. Schaller A, Noo F, Sauer F, Tam K C, Lauritsch G and Flohr T 2000 Exact Radon rebinning algorithm for the long object problem in helical cone-beam CT IEEE Trans. Med. Imaging 19 902-21
23. Schaller S, Flohr T and Steffen P 1997 New efficient Fourier- reconstruction method for approximate image reconstruction in spiral cone-beam CT small cone angles Proc. SPIE 3032
24. Silver M 2000 A method for including redundant data in computed tomography Med. Phys. 27 773-4
25. Sourbelle K and Kalender W A 2003 Generalization of Feldkamp reconstruction for clinical spiral cone beam CT The VIIth International Conference on Fully 3D Reconstruction in Radiology and Nuclear Medicine (Saint-Malo)
26. Tam K C 1995 Three-dimensional computerized tomography scanning methods and system for large objects with smaller area detectors US Patent 5,390,112 (Feb. 14, 1995)
27. Tang A and Hsieh J 2004 A filtered backprojection algorithm for cone beam reconstruction using rotational filtering under helical source trajectory Med. Phys. 31 2949-60
28. Tang X 2003 Matched view weighting in tilted-plane-based reconstruction algorithms to suppress helical artifacts and optimize noise characteristics Med. Phys. 30 2912-18
29. Tang X, Hsieh J, Nilsen R A and Dutta S 2004 A helical cone beam filtered backprojection (CB-FBP) reconstruction algorithm using three-dimensional (3D) view weighting Proc. SPIE. 5535 577-87
30. Tang X and Ning R 2001 A cone beam filtered back-projection (CB-FBP) reconstruction algorithm for a circle-plus-two-arc orbit Med. Phys. 28 1042-55
31. Tuy H 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-52
32. Tuy H 2000 3D image reconstruction for helical partial cone beam scanners using wedge beam transform US Patent 6,104,775
33. Wang G, Crawford C R and Kalender W A 2000 Multi-row-detector and cone-beam spiral/helical CT IEEE Trans. Med. Imaging 19 922-9
34. Wang G, Lin T H, Cheng P C and Shinozaki D M 1993 A general cone-beam reconstruction algorithm IEEE Trans. Med. Imaging 12 486-96
35. Wang X and Ning R 1999 A cone-beam reconstruction algorithm for circle-plus-arc data acquisition geometry IEEE Trans. Med. Imaging 18 815-24
36. Yan X and Leahy R M 1992 Cone beam tomography with circular, elliptical and spiral orbits Phys. Med. Biol. 37 493-506
37. Zeng G and Gullberg G T 1992 A cone-beam tomography algorithm for orthogonal circle-and-line orbit Phys. Med. Biol. 37 563-77
38. Zou Y and Pan X 2004a Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT Phys. Med. Biol. 49 941-59
39. Zou Y and Pan X 2004b Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT Phys. Med. Biol. 49 2717-31