Rotate-and-slant projector for fast LOR-based fully-3-D iterative PET reconstruction

IEEE Transactions on Medical Imaging

Volumn 27, Issue 8, 2008, Pages 1071-1083

  Kadrmas, Dan J ^a,b  

^a IEEE

^b UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

Author keywords

Fully 3 D imaging; Image reconstruction; Positron emission tomography (PET)

Indexed keywords

DATA STORAGE EQUIPMENT; DIAGNOSTIC RADIOGRAPHY; HOLOGRAMS; IMAGING TECHNIQUES; ITERATIVE METHODS; MEDICAL IMAGING; PLASTIC BOTTLES; POSITRON ANNIHILATION SPECTROSCOPY; POSITRON EMISSION TOMOGRAPHY; REPAIR; RESTORATION; ROTATION; STATISTICAL METHODS; TOMOGRAPHY;

BACKGROUND NOISES; COMPUTATIONALLY EFFICIENT; FOURIER REBINNING; FULLY-3-D IMAGING; IMAGE RECONSTRUCTION; ITERATIVE RECONSTRUCTIONS; LINE-OF-RESPONSE; MULTIPLE PROJECTIONS; OBLIQUE PROJECTIONS; ORDERED-SUBSETS; POSITRON EMISSION TOMOGRAPHY (PET); PROCESSING TIMES; RAY-DRIVEN; REBINNING METHODS; SERIAL MEMORY; SINOGRAM; SINOGRAMS; SPATIAL RESOLUTION SR); STATISTICAL RECONSTRUCTION;

THREE DIMENSIONAL;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; METHODOLOGY; POSITRON EMISSION TOMOGRAPHY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 48149108318     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2008.918328     Document Type: Article

References (32)

1. M. Defrise, P. Kinahan, D. Townsend, C. Michel, M. Sibomana, and D. Newport, "Exact and approximate rebinning algorithms for 3-D PET data," IEEE Trans. Med. Imag., vol. 16, no. 2, pp. 145-158, Feb. 1997.
2. M. Defrise and X. Liu, "A fast rebinning algorithm for 3-D positron emission tomography using John's equation," Inverse Problems, vol. 15, no. 4, pp. 1047-1065, 1999.
3. X. Liu, C. Comtat, C. Michel, P. Kinahan, M. Defrise, and D. Townsend, "Comparison of 3-D reconstruction with 3-D-OSEM and with FORE+OSEM for PET," IEEE Trans. Med. Imag., vol. 20, no. 8, pp. 804-814, Aug. 2001.
4. X. Liu, M. Defrise, C. Michel, M. Sibomana, C. Comtat, P. E. Kinahan, and D. W. Townsend, "Exact rebinning methods for three-dimensional positron tomography," IEEE Trans. Med. Imag., vol. 18, no. 8, pp. 657-664, Aug. 1999.
5. M. Defrise and P. Kinahan, "Data acquisition and image reconstruction for 3-D PET," in The Theory and Practice of 3-D PET, B. Bendriem and D. W. Townsend, Eds. Norwell, MA: Kluwer, 1998, pp. 11-53.
6. D. J. Kadrmas, "LOR-OSEM: Statistical PET reconstruction from raw line-of-response histograms," Phys. Med. Biol., vol. 49, pp. 4731-4744, 2004.
7. H. H. Barrett, T. White, and L. C. Parra, "List-mode likelihood," J. Opt. Soc. Amer., vol. 14, pp. 2914-2923, 1997.
8. C. Byrne, "Likelihood maximization for list-mode emission tomographic image reconstruction," IEEE Trans. Med. Imag., vol. 20, no. 10, pp. 1084-1092, Oct. 2001.
9. R. H. Huesman, G. J. Klein, W. W. Moses, J. Qi, B. W. Reutter, and P. R. G. Virador, "List mode maximum, likelihood reconstruction applied to positron emission mammography with irregular sampling," IEEE Trans. Med. Imag., vol. 19, no. 5, pp. 532-537, May 2000.
10. K. Lange and R. Carson, "EM reconstruction algorithms for emission and transmission tomography," J. Comput. Assist. Tomogr., vol. 8, pp. 306-316, 1984.
11. L. A. Shepp and Y. Vardi, "Maximum likelihood estimation for emission tomography," IEEE Trans. Med. Imag., vol. MI-1, no. 2, pp. 113-121, 1982.
12. E. V. R. Di Bella, A. B. Barclay, R. L. Eisner, and R. W. Schafer, "A comparison of rotation-based methods for iterative reconstruction algorithms," IEEE Trans. Nucl. Sci., vol. 43, no. 6, pp. 3370-3376, Dec. 1996.
13. E. C. Frey, Z. W. Ju, and B. M. W. Tsui, "A fast projector-backprojector pair modeling the asymmetric, spatially varying scatter response function for scatter compensation in SPECT imaging," IEEE Trans. Nucl. Sci., vol. 40, no. 4, pp. 1192-1197, Aug. 1993.
14. A. Paeth, "A fast algorithm. for general raster rotation," in Proc. Graph. Interface, 1986, pp. 77-81.
15. J. W. E. J. Engle and D. J. Kadrmas, "Modeling the spatially-variant point spread function in a fast projector for improved fully-3-D PET reconstruction," J. Nucl. Med., vol., pp. 417P-417P, 2007.
16. B. M. W. Tsui, H. B. Hu, D. R. Gilland, and G. T. Gullberg, "Implementation of simultaneous attenuation and detector response correction in SPECT," IEEE Trans. Nucl Sci. vol. 35, no. 1, pp. 778-783, Feb. 1988.
17. S. R. Cherry, J. A. Sorenson, and M. E. Phelps, Physics in NuclearMedicine, 3rd ed. Philadelphia, PA: Saunders, 2003.
18. B. De Man and S. Basu, "Distance-driven projection and back-projection in three dimensions," Phys. Med. Biol., vol. 49, no. 11, pp. 2463-2475, Jun. 2004.
19. E. U. Mumcuoglu, R. M. Leahy, and S. R. Cherry, "Bayesian reconstruction of PET images: Quantitative methodology and performance analysis," Phys. Med. Biol., vol. 41, pp. 1777-1807, 1996.
20. S. Vandenberghe, Y. D. 'Asseler, R. van de Walle, and I. Lemahieu, "Correction for external LOR effects in listmode reconstruction for PET," in 2002 IEEE Int. Symp. Biomed. Imag., Washington, DC, 2002, pp. 537-540.
21. M. L. Egger, C. Joseph, and C. Morel, "Incremental beamwise back-projection using geometrical symmetries for 3-D PET reconstruction in a cylindrical scanner geometry," Phys. Med. Biol., vol. 43, pp. 3009-3024, 1998.
22. P. M. Joseph, "An improved algorithm for reprojecting rays through pixel images," IEEE Trans. Med. Imag., vol. MI-1, no. 3, pp. 192-196, Nov. 1982.
23. I. K. Hong, S. T. Chung, H. K. Kim, Y. B. Kim, Y. D. Son, and Z. H. Cho, "Fast forward projection and backward projection algorithm using SIMD," in Proc. 2006 IEEE Nucl. Sci. Symp. Med. Imag. Conf., San Diego, CA, 2006, pp. 3361-3368.
24. A. Brandt, J. Mann, M. Brodski, and M. Galun, "A fast and accurate multilevel inversion of the radon transform," SIAM J. Appl. Math., vol. 60, no. 2, pp. 437-462, 1999.
25. R. Siddon, "Fast calculation of the exact radiological path for a three dimensional CT array," Med. Phys., vol. 12, pp. 252-255, 1986.
26. D. G. Politte and D. L. Snyder, "Corrections for accidental coincidences and attenuation in maximum-likelihood image reconstruction for positron-emission tomography," IEEE Trans. Med. Imag., vol. 10, no. 1, pp. 82-89, Mar. 1991.
27. D. Brasse, P. E. Kinahan, R. Clackdoyle, M. Defrise, C. Comtat, and D. W. Townsend, "Fast fully 3-D image reconstruction in PET using planograms," IEEE Trans. Med. Imag., vol. 23, no. 4, pp. 4.13-425, Apr. 2004.
28. S. Matej, J. A. Fessler, and I. G. Kazantsev, "Iterative tomographic image reconstruction using fourier-based forward and back-projectors," IEEE Trans. Med. Imag., vol. 23, no. 4, pp. 401-412, Apr. 2004.
29. S. Matej and I. G. Kazantsev, "Fourier-based reconstruction for fully 3-D PET: Optimization of interpolation parameters," IEEE Trans. Med. Imag., vol. 25, no. 7, pp. 845-854, Jul. 2006.
30. Y. Zhang-O'Connor and J. A. Fessler, "Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction," IEEE Trans. Med. Imag., vol. 25, no. 5, pp. 582-589, May 2006.
31. J. J. Scheins, F. Boschen, and H. Herzog, "Analytical calculation of volumes-of-intersection for iterative, fully 3-D PET reconstruction," IEEE Trans. Med. Imag., vol. 25, no. 10, pp. 1363-1369, Oct. 2006.
32. I. K. Hong, S. T. Chung, H. K. Kim, Y. B. Kim, Y. D. Son, and Z. J. Cho, "Ultra fast symmetry and simd-based projection-backprojection (SSP) alogrithm for 3-D PET image reconstruction," IEEE Trans. Med. Imag., vol. 26, no. 6, pp. 789-803, Jun. 2007.