Studies on Palamodov's algorithm for cone-beam CT along a general curve

Inverse Problems

Volumn 22, Issue 2, 2006, Pages 447-460

  Yu, Hengyong ^a   Ye, Yangbo ^a,b   Zhao, Shiying ^c   Wang, Ge ^a,b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF IOWA   (United States)

^c UNIVERSITY OF MISSOURI ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DETECTORS; FUNCTIONS; IMAGE RECONSTRUCTION; SCANNING;

CONE-BEAM DATA; PALAMODOV'S ALGORITHM; SCANNING TRAJECTORY;

COMPUTERIZED TOMOGRAPHY;

EID: 33645275191     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/2/004     Document Type: Article

References (29)

1. Palamodov V P 2004 Reconstruction from ray integrals with sources on a curve Inverse Problems 20 239-42
2. 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
3. Wang G, Lin T H, Cheng P C, Shinozaki D M and Kim H G 1991 Scanning cone-beam reconstruction algorithms for x-ray microtomography Proc. SPIE 1556 99-112
4. Wang G, Liu Y N, Ye Y B, Zhao S Y, Hsieh J and Ge S P 2004 Top-level design and preliminary physical analysis for the first electron-beam micro-CT scanner J. X-Ray Sci. Technol. 12 251-60
5. Wang G and Vannier M W 2003 Bolus-chasing angiography with adaptive real-time computed tomography US Patent 6,535,821
6. Wang G and Ye Y B 2004 Nonstandard spiral cone-beam scanning methods, apparatus, and applications US Provisional Patent Application 60/588,682
7. Katsevich A 2002 Theoretically exact filtered backprojection-type inversion algorithm for spiral CT SIAM J. Appl. Math. 62 2012-26
8. Katsevich A 2004 An improved exact filtered backprojection algorithm for spiral computed tomography Adv. Appl. Math. 32 681-97
9. Ye Y B, Zhao S Y, Yu H Y and Wang G 2004 Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves Proc. SPIE 5535 293-300
10. Zou Y and Pan X C 2004 An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT Phys. Med. Biol. 49 N383-7
11. Zhuang T L, Leng S, Nett B E and Chen G H 2004 Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data Phys. Med. Biol. 49 5489-503
12. Pack J D, Noo F and Clackdoyle R 2005 Cone-beam reconstruction using the backprojection of locally filtered projections IEEE Trans. Med. Imaging 24 70-85
13. Ye Y B and Wang G 2005 Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve Med. Phys. 32 42-8
14. Pack J D and Noo F 2005 Cone-beam reconstruction using 1D filtering along the projection of M-lines Inverse Problems 21 1105-20
15. Ye Y B, Zhao S Y, Yu H Y and Wang G 2005 A general exact reconstruction for cone-beam CT via backprojection-filtration IEEE Trans. Med. Imaging 24 1190-8
16. Grangeat P 1991 Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform Mathematical Methods in Tomography ed G T Herman, A K Louis and F Natterer (Berlin: Springer) pp 66-97
17. Katsevich A 2003 A general scheme for constructing inversion algorithms for cone-beam CT Int. J. Math. Math. Sci. 21 1305-21
18. Smith B D 1985 Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods IEEE Trans. Med. Imaging 4 14-25
19. Tuy H K 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-52
20. Zou Y and Pan X C 2004 Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT Phys. Med. Biol. 49 941-59
21. Yu H Y, Ye Y B and Wang G 2004 Katsevich-type algorithms for variable radius spiral cone-beam CT Proc. SPIE 5535 550-7
22. Zhao S Y, Yu H Y and Wang G 2004 A family of analytic algorithms for cone-beam CT Proc. SPIE 5535 318-28
23. Zhao S Y, Yu H Y and Wang G 2005 A unified framework for exact cone-beam reconstruction formulas Med. Phys. 32 1712-21
24. Sidky E Y et al 2005 A consistency condition for cone-beam CT with general source trajectories Proc. SPIE 5747 2042-7
25. Katsevich A 2002 Analysis of an exact inversion algorithm for spiral cone-beam CT Phys. Med. Biol. 47 2583-97
26. Yu H Y and Wang G 2004 Studies on implementation of the Katsevich algorithm for spiral cone-beam CT J. X-ray Sci. Technol. 12 96-117
27. Yu H Y and Wang G 2004 Studies on artifacts of the Katsevich algorithm for spiral cone-beam CT Proc. SPIE 5535 540-9
28. Yu H Y, Zhao S Y, Ye Y B and Wang G 2005 Exact BPF and FBP algorithms for nonstandard saddle curves Med. Phys. 32 3305-12
29. Yu H Y, Zhao S Y and Wang G 2005 A differentiable Shepp-Logan phantom and its applications in exact cone-beam CT Phys. Med. Biol. 50 5583-95