Noise and resolution in images reconstructed with FBP and OSC algorithms for CT

Medical Physics

Volumn 34, Issue 2, 2007, Pages 585-598

  Ziegler, A ^a   Kohler Th ^a   Proksa, R ^a  

^a PHILIPS RESEARCH LABORATORIES   (Germany)

Author keywords

Computed tomography; FBP; Maximum likelihood; Noise; Ordered subsets; OSC; Reconstruction; Resolution

Indexed keywords

IMAGE RECONSTRUCTION; INVERSE PROBLEMS; ITERATIVE METHODS; MAXIMUM LIKELIHOOD; OPTICAL RESOLVING POWER; SET THEORY; SIGNAL TO NOISE RATIO;

FILTERED BACK PROJECTION; MAXIMUM LIKELIHOOD METHODS; NOISE; NUMBER OF ITERATIONS; ORDERED SUBSETS; STATISTICAL ITERATIVE RECONSTRUCTION ALGORITHMS; TRANSMISSION TOMOGRAPHY; TWO DIMENSIONAL IMAGES;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; CALCULATION; COMPARATIVE STUDY; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER PROGRAM; MODULATION TRANSFER FUNCTION; NOISE; PERFORMANCE; PRIORITY JOURNAL; SIGNAL NOISE RATIO; SIMULATION; STATISTICAL ANALYSIS; X RAY DOSE DISTRIBUTION;

EID: 33846564402     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.2409481     Document Type: Article

References (28)

1. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1987).
2. A. Katsevich, " An improved exact FBP algorithm for spiral CT., " Adv. Appl. Math. 32 (4), 681-697 (2004).
3. C. Bontus, T. Köhler, and R. Proksa, " A quasiexact reconstruction algorithm for helical CT using a 3-Pi acquisition., " Med. Phys. 30 (9), 2493-2502 (2003).
4. C. Bontus, T. Köhler, and R. Proksa, " E n PiT: Filtered back-projection algorithm for helical CT using an n -Pi acquisition., " IEEE Trans. Med. Imaging 24 (8), 977-986 (2005).
5. J. D. Pack and F. Noo, " Cone-beam reconstruction using 1D filtering along the projections of M -lines., " Inverse Probl. 21, 1105-1120 (2005).
6. C. Byrne, " Iterative image reconstruction algorithms based on cross-entropy minimization., " IEEE Trans. Image Process. 2, 96-103 (1993).
7. J. A. Fessler, " Statistical image reconstruction methods for transmission tomography., " in Handbook of Medical Imaging, Vol. 2, edited by, J. M. Fritzpatrick, and, M. Sonka,, ch., pp. 1-70, Bellingham, WA: (SPIE Press, 2000).
8. A. R. DePierro and M. E. B. Yamagishi, " Fast EM-like method for maximum a posteriori estimates in emmision tomography., " IEEE Trans. Med. Imaging 20 (4), 280-288 (2001).
9. L. Parra and H. H. Barrett, " List-mode likelihood: EM algorithm and image quality estimation demonstrated on 2D PET., " IEEE Trans. Med. Imaging 17 (2), 228-235 (1998).
10. M. V. Narayanan, C. L. Byrne, and M. A. King, " An interior point iterative maximum-likelihood reconstruction algorithm incorporating upper and lower bounds with application to SPECT transmission imaging., " IEEE Trans. Med. Imaging 20 (4), 342-353 (2001).
11. J.-B. Thibault, K. Sauer, C. Bouman, and J. Hsieh, " High quality iterative image reconstruction for multi-slice helical CT., " in Proceedings of the 3D'03 Conference (Saint Malo, France, 2003).
12. A. Ziegler, D. Heuscher, T. Köhler, T. Nielsen, R. Proksa, and S. Utrup, " Systematic investigation of the reconstruction of images from transmission tomography using a filtered backprojection and an iterative OSML reconstruction algorithm., " in Nuclear Science Symposium Conference Record, pp. 2516-2519, IEEE, 2004.
13. R. M. Lewitt, " Alternatives to voxels for image representation in iterative reconstruction algorithms., " Phys. Med. Biol. 37 (3), 705-716 (1992).
14. R. M. Lewitt, " Multidimensional digital image representations using generalized Kaiser-Bessel window functions., " J. Opt. Soc. Am. A 7 (10), 1834-1846 (1990).
15. G. N. Watson, Theory of Bessel Functions (Cambridge University Press, Cambridge, U.K., 1944).
16. T. Obi, S. Matej, R. M. Lewitt, and G. T. Herman, " 2.5-D simultaneous multislice reconstruction by series expansion methods from Fourier-rebinned PET data., " IEEE Trans. Med. Imaging 19 (5), 474-484 (2000).
17. S. Matej and R. Lewitt, " Practical considerations for 3D image reconstruction using spherically symmetric volume elements., " IEEE Trans. Med. Imaging 15 (1), 68-78 (1996).
18. A. Ziegler, T. Köhler, T. Nielsen, and R. Proksa, " Iterative cone-beam CT image reconstruction with spherically symmetric basis functions., " in Proceedings of the 3D'2005 Conference (Salt Lake City, Utah, 2005), pp. 80-83.
19. A. Ziegler, T. Köhler, T. Nielsen, and R. Proksa, " Efficient projection and back projection scheme for spherically symmetric basis functions in divergent beam geometry., " Med. Phys. 33 (12), 4653-4663 (2006).
20. L. A. Feldkamp, L. C. Davis, and J. W. Kress, " Practical cone-beam algorithm., " J. Opt. Soc. Am. A 6, 612-619 (1984).
21. C. J. Brunnett, J. R. Cox, D. L. Snyder, and R. A. Mattson, " Transverse tomograph system having multibeam orbital scanning with all beams offset from the center of orbit., " 1975. U.S. patent No. 4,008,400.
22. T. M. Peters and R. M. Lewitt, " Computed tomography with fan-beam geometry., " J. Comput. Assist. Tomogr. 1 (4), 429-436 (1977).
23. K. Lange and J. A. Fessler, " Globally convergent algorithms for maximum a posteriori transmission tomography., " IEEE Trans. Image Process. 4 (10), pp. 1430-1450 (1995).
24. C. Kamphuis and F. Beekman, " Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm., " IEEE Trans. Med. Imaging 17 (6), 1101-1105 (1998).
25. I. A. Cunningham, " Applied linear-systems theroy., " in Handbook of Medical Imaging, edited by, J. Beutel,,, H. L. Kundel,, and, R. Van Metter,, (SPIE Press, Bellingham, WA, 2000), Chap., Vol. 1, pp. 79-160.
26. J. W. Stayman and J. A. Fessler, " Compensation for nonuniform resolution using penelized-likelihood reconstruction in space-variant imaging systems., " IEEE Trans. Med. Imaging 23 (3), 269-284 (2004).
27. J.-B. Thibault, K. Sauer, C. Bouman, and J. Hsieh, " Three-dimensional statistical modeling for image quality improvements in multi-slice helical CT., " in Proceedings of the 3D'05 Conference, Salt Lake City, 2005.
28. B. DeMan and S. Basu, " Distance-driven projection and backprojection in three dimensions., " Phys. Med. Biol. 49, 2463-2475 (2004).