Analytical fan-beam and cone-beam reconstruction algorithms with uniform attenuation correction for SPECT

Physics in Medicine and Biology

Volumn 50, Issue 13, 2005, Pages 3153-3170

  Tang, Qiulin ^a   Zeng, Gengsheng L ^b   Gullberg, Grant T ^c  

^a UNIVERSITY OF UTAH   (United States)

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

^c LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; COMPUTER SIMULATION; DATA ACQUISITION; FILTRATION; IMAGING TECHNIQUES;

BACKPROJECTION; CONE-BEAM RECONSTRUCTION ALGORITHMS; FAN-BEAM RECONSTRUCTION ALGORITHMS; RADON DATA;

ALGORITHMS;

ALGORITHM; ARTICLE; ATTENUATION; COMPUTER SIMULATION; DATA ANALYSIS; GEOMETRY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY;

ALGORITHMS; ARTIFACTS; BRAIN; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; PHANTOMS, IMAGING; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

EID: 21344434835     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/50/13/013     Document Type: Article

References (24)

1. Bellini S, Piacenti M, Caffario C and Rocca F 1979 Compensation of tissue absorption in emission tomography IEEE Trans. Accoust. Speech Signal Process. 27 213-8
2. Bronnikov A V 2000 A filtering approach to image reconstruction in 3D SPECT Phys. Med. Biol. 45 2639-51
3. Clough A V and Barrett H H 1983 Attenuated Radon and Abel transforms J. Opt. Soc. Am. 73 1590-5
4. Feldkamp L A, Davis L C and Kress J W 1984 Practical cone-beam algorithm J. Opt. Soc. Am. A 1 612-9
5. Gullberg G T 1979 The reconstruction of fan-beam data by filtering the back-projection Comput. Graph. Image Process. 10 30-47
6. Gullberg G T and Budinger T F 1981 The use of filtering methods to compensate for constant attenuation in single photon emission computed tomography IEEE Trans. Biomed. Eng. 28 142-57
7. Gullberg G T, Malko J A and Eisner R L 1983 Boundary detection methods for attenuation correction in single photon emission computed tomography Emission Computed Tomography: Current Trends ed P Esser (New York: The Society of Nuclear Medicine) pp 33-53
8. Gullberg G T, Christian P E, Zeng G L, Datz F L and Morgan H T 1991 Cone beam tomography of the heart using single-photon emission-computed tomography Invest Radiol. 26 681-8
9. Gullberg G T and Zeng G L 1995 Backprojection filtering for variable orbit fan-beam tomography IEEE Trans. Nucl. Sci. 42 1257-66
10. Hawkins W G, Leichner P K and Yang N C 1988 The circular harmonic transform for SPECT reconstruction and boundary conditions on the Fourier transform of the sinogram IEEE Trans. Med. Imaging 7 135-48
11. Inouye T, Kose K and Hasegawa H 1989 Image reconstruction algorithm for single-photon-emission computed tomography with uniform attenuation Phys. Med. Biol. 34 299-304
12. Jaszczak R J et al 1979 Whole body single photon emission computed tomography using large field of view scintillation cameras Phys. Med. Biol. 24 1123-43
13. Jaszczak R J 1982 Physics characteristics of SPECT systems J. Comput. Assist. Tomogr. 6 1205-15
14. Jaszczak R J, Greer K L and Coleman R E 1988 SPECT using a specially designed cone beam collimator J. Nucl. Med. 29 1398-405
15. Markoe A 1984 Fourier inversion of the attenuated x-ray transform SIAM J. Math. Anal. 15 718-22
16. Macey D J, DeNardo G L and DeNardo S J 1988 Comparison of three boundary detection methods for SPECT using Compton scattered photons J. Nucl. Med. 29 203-7
17. Metz C E and Pan X 1995 A unified analysis of exact methods of inverting the 2D exponential Radon transform, with implications for noise control in SPECT IEEE Trans. Med. Imaging 17 643-58
18. Natterer F 1986 The Mathematics of Computerized Tomography (New York: Wiley)
19. Natterer F 2001 Inversion of the attenuated Radon transform Inverse Problems 17 113-9
20. Tretiak O and Metz C E 1980 The exponential Radon transform SIAM J. Appl. Math. 39 341-54
21. Tuy H 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-52
22. Weng Y, Zeng G L and Gullberg G T 1997 Analytical inversion formula for uniformly attenuated fan-beam projections IEEE Trans. Nucl. Sci. 44 243-9
23. You J, Liang Z and Zeng G L 1999 A unified reconstruction framework for both parallel-beam and variable focal-length fan-beam collimators by a Cormack-type inversion of exponential Radon transform IEEE Trans. Med. Imaging 18 59-65
24. Zeng G L and Gullberg G T 1994 A backprojection filtering algorithm for a spatially varying focal length collimator IEEE Trans. Med. Imaging 13 549-56