A quasiexact reconstruction algorithm for helical CT using a 3-Pi acquisition

Medical Physics

Volumn 30, Issue 9, 2003, Pages 2493-2502

  Bontus, Claas ^a   Köhler, Thomas ^a   Proksa, Roland ^a  

^a PHILIPS RESEARCH LABORATORIES   (Germany)

Author keywords

Computer tomography; Exact reconstruction; Filtered backprojection

Indexed keywords

RADON;

BACK-PROJECTION; COMPUTATIONALLY EFFICIENT; EXACT RECONSTRUCTION; FILTERED BACK-PROJECTION; KATSEVICH ALGORITHMS; RADON INVERSION; RECONSTRUCTION ALGORITHMS; RECONSTRUCTION METHOD;

COMPUTERIZED TOMOGRAPHY;

ANALYTIC METHOD; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; IMAGE QUALITY; IMAGE RECONSTRUCTION; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SIMULATION;

EID: 0141520674     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.1601913     Document Type: Article

References (24)

1. H. Kudo, F. Noo, and M. Defrise, "Cone-beam filtered-backprojection algorithm for truncated helical data," Phys. Med. Biol. 43, 2885-2909 (1998).
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. Turbell, "Cone-beam reconstruction using filtered backprojection," Tech. Rep. Thesis No. 672, Linköping University, 2001.
4. S. Schaller, F. Noo, F. Sauer, K. C. Tam, G. Lauritsch, 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).
5. G. Larson, C. C. Ruth, and C. R. Crawford, "Nutating slice CT image reconstruction apparatus and method," US Patent 5,802,134 (1998).
6. D. Heuscher, "Helical cone beam scans using oblique 2D surface reconstruction," in Proceedings of the 3D'99 Conference, Egmond aan Zee, The Netherlands, 1999.
7. M. Kachelriedß S. Schaller, and W. A. Kalender, "Advanced single-slice rebinning in cone-beam spiral CT," Med. Phys. 27, 754-772 (2000).
8. S. Schaller, K. Stierstorfer, H. Bruder, M. Kachelrieß, and T. Flohr, "Novel approximate approach for high quality image reconstruction in helical cone-beam CT at arbitrary pitch," Proc. SPIE 4322, 113-127 (2001).
9. K. Stierstorfer, T. Flohr, and H. Bruder, "Segmented multiple plane reconstruction: A novel approximate reconstruction scheme for multi-slice spiral ct," Phys. Med. Biol. 47, 2571-2581 (2002).
10. R. Proksa, T. Köhler, M. Grass, and J. Timmer, "The n-Pl-method for helical cone-beam CT," IEEE Trans. Med. Imaging 19, 848-863 (2000).
11. G. Wang, T. H. Lin, P. C. Cheng, and D. M. Shinozaki, "A general cone-beam reconstruction algorithm," IEEE Trans. Med. Imaging 12, 486-496 (1993).
12. A. Katsevich, "Improved exact FBP algorithm for spiral CT" (unpublished).
13. A. Katsevich, "Analysis of an exact inversion algorithm for spiral cone-beam CT," Phys. Med. Biol. 47, 2583-2597 (2002).
14. A. Katsevich, "Theoretically exact FBP-type inversion algorithm for spiral CT," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 62, 2012-2026 (2002).
15. P. E. Danielsson, P. Edholm, J. Eriksson, and M. Magnusson-Seger, "Towards exact 3D-reconstruction for helical cone-beam scanning of long objects," in "Proceedings of the 3D'97 Conference," Nemacolin, PA, 1997.
16. R. Proksa and J. Timmer, "Computer tomography apparatus with a conical radiation beam and a helical scanning trajectory," US-Patent 6 269 141 B1 (2001).
17. T. Köhler, R. Proksa, C. Bontus, M. Grass, and J. Timmer, "Artifact analysis of approximate cone-beam CT algorithms," Med. Phys. 29, 51-64 (2002).
18. C. Bontus, R. Proksa, J. Timmer, T. Köhler, and M. Grass, "Movement artifacts in helical CT cone-beam reconstruction," Proceedings of the Sixth International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2001, pp. 199-202.
19. A. Katsevich, "A general scheme for constructing inversion algorithms for cone beam CT," Int. J. Math. Math. Sci. 21, 1305-1321 (2003).
20. http://www.imp.uni-erlangen.de/forbild
21. 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).
22. 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).
23. F. Natterer, The Mathematics of Computerized Tomography (Wiley, New York, 1986).
24. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed., edited by A. Jeffrey (Academic, San Diego, 1994).