Cone beam cover method: An approach to performing backprojection in Katsevich's exact algorithm for spiral cone beam CT

Journal of X-Ray Science and Technology

Volumn 12, Issue 4, 2004, Pages 199-214

  Yang, Jiansheng ^a   Kong, Qiang ^a   Zhou, Tie ^a   Jiang, Ming ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Cone beam cover; Katsevich's inversion formula; PI segment; Spiral cone beam CT (computerized tomography); Tam Danielsson window

Indexed keywords

COMPUTATIONAL COMPLEXITY; FUNCTIONS; MEDICAL IMAGING; NONLINEAR EQUATIONS; PARALLEL ALGORITHMS; PROBLEM SOLVING; RADIATION DETECTORS; X RAYS;

CONE BEAM COVER; KATSEVICH'S INVERSION FORMULA; PI SEGMENT; SPIRAL CONE BEAM COMPUTERIZED TOMOGRAPHY (CT); TAM-DANIELSSON WINDOW;

COMPUTERIZED TOMOGRAPHY;

EID: 13844294424     PISSN: 08953996     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. H.K. Tuy, An inversion formula for cone-beam reconstruction, SIAM Journal on Applied Mathematics 43 (1983), 546-552.
2. B. Smith, Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods, IEEE Trans. Med. Imaging 4 (1985), 14-25.
3. P. Grangeat, Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform, in: Mathematical Methods in Tomography, Lecture Notes in Math. 1497, G.T. Herman, A.K. Louis and F. Natterer, eds, 1991, pp. 66-97.
4. G. Wang, T.H. Lin, P.C. Cheng and D.M. Shinozaki, A general cone-beam reconstruction algorithm, IEEE Trans. Med. Imaging 12 (1993), 486-496.
5. K.C. Tarn, S. Smarasekela and F. Sauer, Exact cone-beam CT with a spiral scan, Phys. Med. Biol. 43 (1998), 1015-1024.
6. H. Kudo, F. Noo and M. Defrise, Cone-beam filtered-backprojection algorithm for truncated helical data, Phys. Med. Biol. 43 (1998), 2885-2909.
7. H. Kudo, F. Noo and M. Defrise, Quasi-exact filtered backprojection algorithm for long object problem in helical cone-beam tomography, IEEE Trans. Med. Imaging 19 (2000), 902-921.
8. M. Defrise, F. Noo and H. Kudo, A solution to the long-object problem in helical cone-beam tomography, Phys. Med. Biol. 45 (2000), 623-643.
9. S. Schaller, F. Noo, F. Sauer, K.C. Tam, G. Lauritschi and T. Flohr, Exact Radon rebinning algorithm using local regions-of-interest for helical cone-beam CT, IEEE Trans. Med. Imaging 19 (2000), 361-375.
10. A. Katsevich, Theoretically exact filtered backprojection-type inversion algorithm for Spiral CT, SIAM Journal on Applied Mathematics 62 (2002), 2012-2026.
11. A. Katsevich, Improved Exact FBP algorithm for Spiral CT, Adv. Appl. Math. 32 (2004), 681-697.
12. F. Noo, J. Pack and D. Heuscher, Exact helical reconstruction using native cone-beam geometries, Phys. Med. Biol. 48 (2003), 3787-3818.
13. Bonus, T. Kohler and R. Proksa, A quasi-exact reconstruction algorithm for helical CT using a 3-pi acquisition, Med. Phys. 30 (2003), 2493-2502.
14. Y. Zou and X. Pan, Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT, Phys. Med. Biol. 49 (2004), 941-959.
15. P.E. Danielsson, P. Edholm and M. Seger, Towards exact 3D-reconstruction for helical cone-beam scanning of long objects. A new detector arrangement and a new completeness condition. Proc. 1997 Int. Meet. On Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine (Pittsburgh), D.W. Townsend and P.E. Kinahan, eds, 1997, pp. 141-144.
16. H. Yu and G. Wang, Studies on Implementation of the Katsevich Algorithm for Spiral Cone-beam CT, Journal of X-ray Science and Technology 12 (2004), 97-116.
17. H. Yu and G. Wang, Studies on Artifacts of the Katsevich Algorithm for Spiral Cone-beam CT, Proceedings of SPIE 5535 (2004).