Exact and approximate Fourier rebinning of PET data from time-of-flight to non time-of-flight

Physics in Medicine and Biology

Volumn 54, Issue 3, 2009, Pages 467-484

  Cho, Sanghee ^a   Ahn, Sangtae ^a   Li, Quanzheng ^a   Leahy, Richard M ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER REBINNING; GENERALIZED PROJECTIONS; LARGE DATUM; MISSING DATA PROBLEMS; MONTE CARLO SIMULATIONS; PET DATUM; REBINNING; RECONSTRUCTION PROBLEMS; SINOGRAMS; TIME OF FLIGHTS; UNIFIED FRAMEWORKS;

IMAGE RECONSTRUCTION; MONTE CARLO METHODS; NEGATIVE IONS; POSITRON EMISSION TOMOGRAPHY; THEOREM PROVING;

THREE DIMENSIONAL;

ARTICLE; DATA ANALYSIS; FOURIER ANALYSIS; IMAGE RECONSTRUCTION; MATHEMATICAL ANALYSIS; MONTE CARLO METHOD; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL; THREE DIMENSIONAL IMAGING; TIME OF FLIGHT MASS SPECTROMETRY; TWO DIMENSIONAL IMAGING; ALGORITHM; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; IMAGE ENHANCEMENT; IMAGE QUALITY; INFORMATION PROCESSING; INSTRUMENTATION; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING;

ALGORITHMS; DATA COMPRESSION; FOURIER ANALYSIS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; PHANTOMS, IMAGING; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 63849126605     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/54/3/001     Document Type: Article

References (28)

1. Bai B and Smith A M 2006 Fast 3D iterative reconstruction of PET images using PC graphics hardware Proc. IEEE Nuclear Science Symp. Medical Imaging Conf. pp 2787-90
2. Cho S, Ahn S, Li Q and Leahy R M 2008 Analytical properties of time-of-flight PET data Phys. Med. Biol. 53 2809-21
3. Cho S, Li Q, Ahn S, Bai B and Leahy R M 2007 Iterative image reconstruction using inverse Fourier rebinning for fully 3-D PET IEEE Trans. Med. Imaging 26 745-56
4. Comtat C, Kinahan P E, Defrise M, Michel C and Townsend D W 1998 Fast reconstruction of 3D PET data with accurate statistical modeling IEEE Trans. Nucl. Sci. 45 1083-9
5. De Man B and Basu S 2004 Distance-driven projection and backprojection in three dimensions Phys. Med. Biol. 49 2463-75
6. Defrise M 1995 A factorization method for the 3-D X-ray transform Inverse Problems 11 983-94
7. Defrise M, Casey M E, Michel C and Conti M 2005 Fourier rebinning of time-of-flight PET data Phys. Med. Biol. 50 2749-63
8. Defrise M, Kinahan P E, Townsend D W, Michel C, Sibomana M and Newport D F 1997 Exact and approximate rebinning algorithms for 3-D PET data IEEE Trans. Med. Imaging 16 145-58
9. Defrise M, Panin V, Michel C and Casey M E 2008 Continuous and discrete data rebinning in time-of-flight PET IEEE Trans. Med. Imaging 27 1310-22
10. Fessler J A and Rogers W L 1996 Spatial resolution properties of penalized-likelihood image reconstruction methods: Space-invariant tomographs IEEE Trans. Image Processing 5 1346-58
11. Groiselle C J and Glick S J 2004 3D PET list-mode iterative reconstruction using time-of-flight information Proc. IEEE Nuclear Science Symp. Medical Imaging Conf. pp 2633-8
12. Hong I K, Chung S T, Kim H K, Kim Y B, Son Y D and Cho Z H 2007 Ultra fast symmetry and SIMD-based projection-backprojection(SSP) algorithm for 3-D PET image reconstruction IEEE Trans. Med. Imaging 26 789-803
13. Jakoby B W, Bercier Y, Watson C C, Rappoport V, Young J, Bendriem B and Townsend D W 2006 Physical performance and clinical workflow of a new LSO HI-REZ PET/CT scanner Proc. IEEE Nuclear Science Symp. Medical Imaging Conf. pp 3130-4
14. Kuhn A, Surti S, Karp J, Raby P, Shah K, Perkins A and Muehllehner G 2004 Design of a lanthanum bromide detector for time-of-flight PET IEEE Trans. Nucl. Sci. 51 2550-7
15. Lehmann E L and Casella G 1998 Theory of Point Estimation (New York: Springer)
16. Liu X, Comtat C, Michel C, Kinahan P, Defrise M and Townsend D 2001 Comparison of 3D reconstruction with OSEM and FORE+OSEM for PET IEEE Trans. Med. Imaging 20 804-13
17. Liu X, Defrise M, Michel C, Sibomana M, Comtat C, Kinahan P and Townsend D 1999 Exact rebinning methods for three-dimensional PET IEEE Trans. Med. Imaging 18 657-64
18. Matej S, Fessler J A and Kazantsev I G 2004 Iterative tomographic image reconstruction using Fourier-based forward and back-projectors IEEE Trans. Med. Imaging 23 401-12
19. Matej S and Kazantsev I G 2006 Fourier-based reconstruction for fully 3-D PET: Optimization of interpolation parameters IEEE Trans. Med. Imaging 25 845-54
20. Moses W W and Derenzo S E 1999 Prospects for time-of-flight PET using LSO scintillator IEEE Trans. Nucl. Sci. 46 474-8
21. Mullani N, Wong W, Hartz R, Philippe E and Yerian K 1982 Sensitivity improvement of TOFPET by the utilization of the inter-slice coincidence IEEE Trans. Nucl. Sci. 29 479-83
22. Pratx G, Chinn G, Habte F, Olcott P and Levin C 2006 Fully 3-D list-mode OSEM accelerated by graphics processing units Proc. IEEE Nuclear Science Symp. Medical Imaging Conf. pp 2196-202
23. Qi J, Leahy R M, Hsu C, Farquhar T H and Cherry S R 1998 Fully 3D Bayesian image reconstruction for the ECAT EXACT HR+ IEEE Trans. Nucl. Sci. 45 1096-103
24. Segars W P 2001 Development and application of the new dynamic nurbs-based cardiac-torso (NCAT) phantom PhD Thesis University of North Carolina, Chpel Hill, NC
25. Shattuck D W, Rapela J, Asma E, Chatzioannou A, Qi J and Leahy R 2002 Internet2-based 3D PET image reconstruction using a PC cluster Phys. Med. Biol. 47 2785-95
26. Surti S, Karp J S, Popescu L M, Daube-Witherspoon M E and Werner M 2006 Invesigation of time-of-flight benefit for fully 3-D PET IEEE Trans. Med. Imaging 25 529-38
27. Surti S, Kuhn A, Werner M E, Perkins A E, Kolthammer J and Karp J S 2007 Performance of Philips Gemini TF PET/CT scanner with special consideration for its time-of-flight imaging capabilities J. Nucl. Med. 48 471-80
28. Vandenberghe S, Daube-Witherspoon M E, Lewitt R M and Karp J S 2006 Fast reconstruction of 3D time-of-flight PET data by axial rebinning and transverse mashing Phys. Med. Biol. 51 1603-21