Attenuation correction in SPECT using consistency conditions for the exponential ray transform

Physics in Medicine and Biology

Volumn 44, Issue 10, 1999, Pages 2483-2510

  Mennessier, C ^a,c   Noo, F ^a   Clackdoyle, R ^a   Bal, G ^a   Desbat, L ^b  

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

^b UNIV GRENOBLE ALPES   (France)

^c LABORATOIRE TIMC IMAG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COLLIMATOR; DATA ANALYSIS; DIAGNOSTIC IMAGING; PRIORITY JOURNAL; QUANTITATIVE DIAGNOSIS; RADIATION ATTENUATION; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY; TRANSMISSION ELECTRON MICROSCOPY;

EID: 0032872072     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/44/10/309     Document Type: Article

References (33)

1. Aguilar V, Ehrenpresi L and Kuchment P 1996 Range conditions for the exponential Radon transform J. Anal. Math. 681-13
2. Aguilar V and Kuchment P 1995 Range conditions for the multidimensional exponential x-ray transform Inverse Problems 11 977-82
3. Bailey D L, Hutton B F and Walker P J 1987 Improved SPECT using simultaneous emission and transmission tomography J. Nucl. Med. 28 844-51
4. Bronnikov A V 1995 Approximate reconstruction of attenuation map in SPECT imaging IEEE Trans. Nucl. Sci. 42 1483-8
5. Censor Y, Gustafson D E, Lent A and Tuy H 1979 A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients IEEE. Trans. Nucl. Sci. 26 2775-9
6. Chang W, Loncaric S, Huang G and Sanpitak P 1995 Asymmetric fan transmission CT on SPECT systems Phys. Med. Biol. 40 913-28
7. Clack R, Christian P E, Defrise M and Welch A E 1996 Image reconstruction for a novel SPECT system with rotating slant-hole collimators Conf. Rec. 1995 IEEE Medical Imaging Conf. pp 1948-52
8. Desbat L 1995 Algebraic reconstructions from efficient sampling in tomography Computerized Tomography (Novosibirsk: VSP) pp 124-37
9. Dicken V 1998 Simultaneous activity and attenuation reconstruction in single photon emission computed tomography, a non linear ill-posed problem PhD Thesis Universität Potsdam, Germany
10. Girard D A 1989 A fast 'Monte-Carlo cross-validation' procedure for large least squares problems with noisy data Numer. Math. 56 1-23
11. Guilland D R, Jaszczak R J, Greer K L and Coleman R E 1998 Transmission imaging for nonuniform attenuation correction using a three-headed SPECT camera J. Nucl. Med. 39 1105-10
12. Gullberg G T, Huesman R H, Malko J A, Pelc N J and Budinger T F 1985 An attenuated projector-backprojector for iterative SPECT reconstruction Phys. Med. Biol. 30 799-816
13. Gullberg G T and Zeng G L 1994 A reconstruction algorithm using singular value decomposition of a discrete representation of the exponential Radon transform using natural pixels IEEE Trans. Nucl. Sci. 41 2812-19
14. Hazou I A and Solman D C 1988 Inversion of the exponential x-ray transform. I: Analysis Math. Meth. Appl. Sci. 10 561-74
15. _ 1990 Inversion of the exponential x-ray transform. II: Numerics Math. Meth. Appl. Sci. 13 205-18
16. Laurette I, Welch A, Natterer F, Clackdoyle R and Gullberg G T 1999 Comparison of three applications for contraspect IEEE Trans. Nucl. Sci. at press
17. Linz P 1985 Analytical and Numerical Methods for Volterra Equations (SIAM Studies in Applied Mathematics)
18. Manglos S H and Young T M 1993 Constrained IntraSPECT reconstruction from SPECT projections Conf. Rec. IEEE Nuclear Science Symp. and Medical Imaging Conf. (San Francisco, CA) pp 1605-9
19. Markoe A 1984 Fourier inversion of the attenuated x-ray transform SIAM J. Math. Anal. 15 718-22
20. Matsunari I, Boning G, Ziegler S I, Kosa I, Nekolla S G, Ficaro E P and Schwaiger M 1998 Effects of misalignment between transmission and emission scans on attenuation-corrected cardiac SPECT Nucl Cardiol. 5 48-55
21. Metz C E and Pan X 1995 A unified analysis of exact methods of inverting the 2-D exponential Radon transform, with implications for noise control in SPECT IEEE Trans. Med. Imaging 14 643-58
22. Moore S C, Kijeewski M F and Mueller S P 1997 A general approach to non uniform attenuation correction using emission data alone J. Nucl. Med. 38 68P
23. Natterer F 1983 Computerized tomography with unknown sources SIAM J. Appl. Math. 43 1201-12
24. _ 1986 The Mathematics of Computerized Tomography (New York: Wiley)
25. _ 1993 Determination of tissue attenuation in emission tomography of optically dense media Inverse Problems 9 731-6
26. Orlov S S 1976 Theory of three-dimensional reconstruction, conditions of a complete set of projections Sov. Phys. Crystallogr. 20 312
27. Pan X and Metz C E 1995 Analysis of noise properties of a class of exact method of inverting the 2-D exponential Radon transform IEEE Trans. Med. Imaging 14 659-68
28. Press W H, Flannery B P, Teukolsky S A and Vetterling W T 1988 Numerical Recipes in C (Cambridge: Cambridge University Press)
29. Ramlau R, Clackdoyle R, Noo F and Bal G 1999 Accurate attenuation correction in SPECT imaging using optimization of bilinear functions and assuming an unknown spatially-varying attenuation distribution IEEE Trans. Nucl. Sci. submitted
30. Tsui B M, Gullberg G T, Edgerton E R, Ballard J G, Perry J R, McCartney W H and Berg J 1989 Correction of nonuniform attenuation in cardiac SPECT imaging J. Nucl Med. 30 497-507
31. Tsui B M, Terry J A and Gullberg G T 1983 Evaluation of cardiac cone-beam single photon emission computed tomography using observer performance experiments and receiver operating characteristic analysis Phys. Med. Biol. 28 1101-12
32. Tung C H, Gullberg G T, Zeng G L, Christian P E, Datz F L and Morgan H T 1992 Non-uniform attenuation correction using simultaneous transmission and emission converging tomography IEEE Trans. Nucl. Sci 39 1134-43
33. Welch A, Clack R, Natterer F and Gullberg G 1997 Toward accurate attenuation correction in SPECT without transmission measurement IEEE Trans. Med. Imaging 16 532-41