PI-line-based image reconstruction in helical cone-beam computed tomography with a variable pitch

Medical Physics

Volumn 32, Issue 8, 2005, Pages 2639-2648

  Zou, Yu ^a   Pan, Xiaochuan ^a   Xia, Dan ^a   Wang, Ge ^a,b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE RECONSTRUCTION; IMAGE SEGMENTATION;

BACKPROJECTION FILTRATIONS; EXACT RECONSTRUCTION; FILTERED BACKPROJECTION ALGORITHM; HELICAL CONE-BEAMS; RECONSTRUCTION ALGORITHMS; REGION-OF-INTEREST IMAGES; TRANSVERSE TRUNCATION; VASCULAR STRUCTURES;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; FLUOROSCOPY; IMAGE RECONSTRUCTION; PITCH; PRIORITY JOURNAL; ROTATION; SPIRAL COMPUTER ASSISTED TOMOGRAPHY; VELOCITY;

EID: 23944432358     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.1902530     Document Type: Article

References (20)

1. 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 Mathematics, edited by G. T. Herman. A. K. Lous, and F. Natterer (Springer-Verlag, Berlin. 1991), pp. 66-97.
2. K. C. Tam, S. Samarasekera, and F. Sauer, "Exact cone-beam CT with a spiral scan," Phys. Med. Biol., 43, 1015-1024 (1998).
3. 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, 902-921 (2000).
4. M. Defrise, F. Noo, and H. Kudo, "A solution to the long-object problem in helical cone-beam tomography." Phys. Med. Biol., 45, 623-643 (2000).
5. S. Schaller, F. Noo, F. Sauer, K. C. Tam, G. Lauritschi, and T. Flohr, "Exact radon rebinning algorithm for the long object problem in helical cone-beam CT." IEEE Trans. Med. Imaging, 19, 361-375 (2000).
6. A. Katsevich, "Theoretically exact FBP-type inversion algorithm for spiral CT," SIAM J. Appl. Math., 62, 2012-2026 (2002).
7. A. Katsevich, "An improved exact FBP algorithm for spiral CT," Adv. Appl. Math., 32, 681-697 (2004).
8. C. Bontus, T. Köhler, and R. Proksa, "A quasiexact reconstruction algorithm for helical CT using a 3-Pi acquisition," Med. Phys., 30, 2493-2502 (2003).
9. A. Katsevich, "On two versions of a 3π algorithm for spiral CT," Phys. Med. Biol., 49, 2129-2143 (2004).
10. 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." in Proceedings of the 1997 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, D. W. Townsend and P. E. Kinahan, Eds., Pittsburgh, 1997, pp. 141-144.
11. Y. Zou and X. Pan, "Exact image reconstructin on Pi-line from minimum data in helical cone-beam CT." Phys. Med. Biol., 49, 941-959 (2004).
12. Y. Zou and X. Pan, "Image reconstruction on Pi-lines by use of filtered backprojection in helical cone-beam CT," Phys. Med. Biol., 49, 2717-2731 (2004).
13. G. Wang and M. W. Vannier, "Bolus-chasing angiography with adaptive real-time computed tomography." U.S. Patent, Vol. 6,535,821, 2003.
14. Y. Ye, J. Zhu, and G. Wang. "Minimum detection windows. Pi-line existence and uniqueness for cone-beam helical scanning of variable pitch." Med. Phys., 31, 556-572 (2004).
15. A. Katsevich, S. Basu, and J. Hsieh. "Exact filtered backprojection reconstruction for dynamic pitch helical cone beam computed tomography." Phys. Med. Biol., 49, 3089-3103 (2004).
16. Y. Zou and X. Pan. "An extended data function and its backprojection onto PI-lines in helical cone-beam CT." Phys. Med. Biol., 49, N383-N387 (2004).
17. A. Katsevich, "Analysis of an exact inversion algorithm for spiral cone-beam CT," Phys. Med. Biol., 47, 2583-2597 (2002).
18. R. P. Kanwal, Linear Integral Equations Theory and Technique (Academic, New York and London, 1971).
19. E. Sidky, Y. Zou, and X. Pan. "Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography," Phys. Med. Biol. 50, 1643-1657 (2005).
20. Y. Zou, X. Pan, and E. Sidky, "Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan," Phys. Med. Biol., 50, 13-27 (2005).