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Volumn 23, Issue 2, 2007, Pages 645-667

Image reconstruction from truncated data in single-photon emission computed tomography with uniform attenuation

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION EQUALIZERS; COMPUTER SIMULATION; IMAGE RECONSTRUCTION; MATHEMATICAL TECHNIQUES; PHOTONS; PROBLEM SOLVING;

EID: 33947409224     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/2/011     Document Type: Article
Times cited : (25)

References (39)
  • 1
    • 4043157202 scopus 로고    scopus 로고
    • Quantitative reconstruction from truncated projections in classical tomography
    • Clackdoyle R, Noo F, Guo J and Roberts J A 2004 Quantitative reconstruction from truncated projections in classical tomography IEEE Trans. Nucl. Sci. 51 2570-78
    • (2004) IEEE Trans. Nucl. Sci. , vol.51 , Issue.5 , pp. 2570-2578
    • Clackdoyle R1    Noo F2    Guo J3    Roberts J A4
  • 2
    • 4544351987 scopus 로고    scopus 로고
    • A two-step Hilbert transform method for 2D image reconstruction
    • Noo F, Clackdoyle R and Pack J D 2004 A two-step Hilbert transform method for 2D image reconstruction Phys. Med. Biol. 49 3903-23
    • (2004) Phys. Med. Biol. , vol.49 , Issue.17 , pp. 3903-3923
    • Noo F1    Clackdoyle R2    Pack J D3
  • 3
    • 13244255699 scopus 로고    scopus 로고
    • Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan
    • Zou Y, Pan X and Sidky E Y 2005 Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan Phys. Med. Biol. 50 13-28
    • (2005) Phys. Med. Biol. , vol.50 , Issue.1 , pp. 13-28
    • Zou Y1    Pan X2    Sidky E Y3
  • 4
    • 33744522312 scopus 로고
    • Crofton's function and inversion formulas in real integral geometry
    • Gelfand I M and Graev M I 1991 Crofton's function and inversion formulas in real integral geometry Funct. Anal. Appl. 1-5
    • (1991) Funct. Anal. Appl. , pp. 1-5
    • Gelfand I M1    Graev M I2
  • 5
    • 0019394035 scopus 로고
    • The use of filtering methods to compensate for constant attenuation in single-photon emission computed tomography
    • 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
    • (1981) IEEE Trans. Biomed. Eng. , vol.28 , pp. 142-157
    • Gullberg G T1    Budinger T F2
  • 7
    • 0342712594 scopus 로고
    • Attenuated Radon and Abel transforms
    • Clough A and Barrett H H 1980 Attenuated Radon and Abel transforms J. Opt. Soc. Am. 39 341-54
    • (1980) J. Opt. Soc. Am. , vol.39 , pp. 341-354
    • Clough A1    Barrett H H2
  • 8
    • 0001197863 scopus 로고
    • The exponential Radon transform
    • Tretiak O and Metz C 1980 The exponential Radon transform SIAM J. Appl. Math. 39 341-54
    • (1980) SIAM J. Appl. Math. , vol.39 , Issue.2 , pp. 341-354
    • Tretiak O1    Metz C2
  • 9
    • 0000850444 scopus 로고
    • Fourier inversion of the attenuated x-ray transform
    • Markoe A 1984 Fourier inversion of the attenuated x-ray transform SIAM J. Math. Anal. 15 718-22
    • (1984) SIAM J. Math. Anal. , vol.15 , Issue.4 , pp. 718-722
    • Markoe A1
  • 10
    • 0040462241 scopus 로고
    • The exponential radon transform
    • Finch D V and Hertle A 1987 The exponential radon transform Integral Geometry (Contemporary Mathematics vol 63) ed Bryant, Guillemin, Helgason and Wells (Providence, RI: American Mathematical Society) pp 67-73
    • (1987) Integral Geometry , pp. 67-73
    • Finch D V1    Hertle A2
  • 11
    • 0024032820 scopus 로고
    • The circular harmonic transform for SPECT reconstruction and boundary conditions on the Fourier transform of the sinogram
    • 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. Imag. 7 135-48
    • (1988) IEEE Trans. Med. Imag. , vol.7 , Issue.2 , pp. 135-148
    • Hawkins W G1    Leichner P K2    Yang N C3
  • 12
    • 0024511456 scopus 로고
    • Image reconstruction algorithm for single-photon-emission computed tomography with uniform attenuation
    • Inouye T, Kose K and Hasegawa A 1989 Image reconstruction algorithm for single-photon-emission computed tomography with uniform attenuation Phys. Med. Biol. 34 299-304
    • (1989) Phys. Med. Biol. , vol.34 , Issue.3 , pp. 299-304
    • Inouye T1    Kose K2    Hasegawa A3
  • 13
    • 84988144233 scopus 로고
    • Inversion of the exponential x-ray transform: I: analysis
    • Hazou I A and Solmon D C 1988 Inversion of the exponential x-ray transform: I: analysis Math. Methods Appl. Sci. 10 561-74
    • (1988) Math. Methods Appl. Sci. , vol.10 , Issue.5 , pp. 561-574
    • Hazou I A1    Solmon D C2
  • 14
    • 0000065177 scopus 로고
    • Filtered-backprojection and the exponential Radon transform
    • Hazou I A and Solmon D C 1989 Filtered-backprojection and the exponential Radon transform J. Math. Anal. Appl. 141 109-19
    • (1989) J. Math. Anal. Appl. , vol.141 , Issue.1 , pp. 109-119
    • Hazou I A1    Solmon D C2
  • 15
    • 0028097089 scopus 로고
    • An analytical approach to quantitative reconstruction of non-uniform attenuated brain SPECT
    • Liang Z, Ye J and Harrington D P 1994 An analytical approach to quantitative reconstruction of non-uniform attenuated brain SPECT Phys. Med. Biol. 39 2023-41
    • (1994) Phys. Med. Biol. , vol.39 , Issue.11 , pp. 2023-2041
    • Liang Z1    Ye J2    Harrington D P3
  • 16
    • 0029773376 scopus 로고    scopus 로고
    • The inversion of the exponential Radon transform for quantitative brain SPECT
    • Liang Z, Ye J, Cheng J and Harrington D P 1996 The inversion of the exponential Radon transform for quantitative brain SPECT Phys. Med. Biol. 41 1227-32
    • (1996) Phys. Med. Biol. , vol.41 , Issue.7 , pp. 1227-1232
    • Liang Z1    Ye J2    Cheng J3    Harrington D P4
  • 17
    • 0000017205 scopus 로고    scopus 로고
    • Projections onto the range of the exponential Radon transform and reconstruction algorithms
    • Clarkson E 1999 Projections onto the range of the exponential Radon transform and reconstruction algorithms Inverse Problems 15 563-71
    • (1999) Inverse Problems , vol.15 , Issue.2 , pp. 563-571
    • Clarkson E1
  • 18
    • 0029521071 scopus 로고
    • A unified analysis of exact methods of inverting the 2D exponential Radon transform, with implications for noise control in SPECT
    • 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. Imag. 14 643-58
    • (1995) IEEE Trans. Med. Imag. , vol.14 , Issue.4 , pp. 643-658
    • Metz C E1    Pan X2
  • 19
    • 0029505766 scopus 로고
    • Analysis of noise properties of a class of exact methods of inverting the 2D exponential Radon transform
    • Pan X and Metz C E 1995 Analysis of noise properties of a class of exact methods of inverting the 2D exponential Radon transform IEEE Trans. Med. Imag. 14 659-68
    • (1995) IEEE Trans. Med. Imag. , vol.14 , Issue.4 , pp. 659-668
    • Pan X1    Metz C E2
  • 20
    • 0035473378 scopus 로고    scopus 로고
    • Image reconstruction in 2D SPECT with 180° acquisition
    • Noo F and Wagner J-M 2001 Image reconstruction in 2D SPECT with 180° acquisition Inverse Problems 17 1357-71
    • (2001) Inverse Problems , vol.17 , Issue.5 , pp. 1357-1371
    • Noo F1    Wagner J-M2
  • 21
    • 0036609141 scopus 로고    scopus 로고
    • A family of π-scheme exponential Radon transforms and the uniqueness of their inverses
    • Pan X, Kao C-M and Metz C E 2002 A family of π-scheme exponential Radon transforms and the uniqueness of their inverses Inverse Problems 18 825-36
    • (2002) Inverse Problems , vol.18 , Issue.3 , pp. 825-836
    • Pan X1    Kao C-M2    Metz C E3
  • 22
    • 33947398372 scopus 로고    scopus 로고
    • Wagner J-M 2002 Méthodes analytiques pour la correction d'atténuation en tomographie tridimensionelle par émission monophotonique PhD Thesis Collection des Publications de la Faculté des Sciences Apppliquées, University of Liège, Belgium p 214
    • (2002) PhD Thesis , pp. 214
    • Wagner J-M1
  • 23
    • 8744226637 scopus 로고    scopus 로고
    • An explicit inversion formula for the exponential Radon transform using data from 180°
    • Rullgård H 2004 An explicit inversion formula for the exponential Radon transform using data from 180° Ark. Mat. 42 353-62
    • (2004) Ark. Mat. , vol.42 , Issue.2 , pp. 353-362
    • Rullgård H1
  • 24
    • 0343272676 scopus 로고
    • Die Lösungen der Integralgleichung and deren Anwendung in the Tragflügeltheorie
    • Söhngen H 1937 Die Lösungen der Integralgleichung and deren Anwendung in the Tragflügeltheorie Math. Z. 45 245-64
    • (1937) Math. Z. , vol.45 , Issue.1 , pp. 245-264
    • Söhngen H1
  • 29
    • 26844472018 scopus 로고    scopus 로고
    • An efficient reconstruction method for nonuniform attenuation compensation in nonparallel beam geometries based on Novikov's explicit inversion formula
    • Li T, You J, Wen J and Liang Z 2005 An efficient reconstruction method for nonuniform attenuation compensation in nonparallel beam geometries based on Novikov's explicit inversion formula IEEE Trans. Med. Imag. 24 1357-68
    • (2005) IEEE Trans. Med. Imag. , vol.24 , Issue.10 , pp. 1357-1368
    • Li T1    You J2    Wen J3    Liang Z4
  • 31
    • 0011033142 scopus 로고    scopus 로고
    • Two-dimensional tomography problems and the theory of A-analytic functions
    • Arbuzov E V, Bukhgeim A L and Kazantsev S G 1998 Two-dimensional tomography problems and the theory of A-analytic functions Siberian Adv. Math. 8 1-20
    • (1998) Siberian Adv. Math. , vol.8 , pp. 1-20
    • Arbuzov E V1    Bukhgeim A L2    Kazantsev S G3
  • 32
    • 0036546781 scopus 로고    scopus 로고
    • An inversion formula for the attenuated x-ray transformation
    • Novikov R G 2002 An inversion formula for the attenuated x-ray transformation Ark. Mat. 40 145-67
    • (2002) Ark. Mat. , vol.40 , Issue.1 , pp. 145-167
    • Novikov R G1
  • 33
    • 0034832061 scopus 로고    scopus 로고
    • Inversion of the attenuated Radon transform
    • Natterer F 2001 Inversion of the attenuated Radon transform Inverse Problems 17 113-19
    • (2001) Inverse Problems , vol.17 , Issue.1 , pp. 113-119
    • Natterer F1
  • 34
    • 0035305957 scopus 로고    scopus 로고
    • A new SPECT reconstruction algorithm based on the Novikov explicit inversion formula
    • Kunyansky L A 2001 A new SPECT reconstruction algorithm based on the Novikov explicit inversion formula Inverse Problems 17 293-306
    • (2001) Inverse Problems , vol.17 , Issue.2 , pp. 293-306
    • Kunyansky L A1
  • 35
    • 84867961903 scopus 로고    scopus 로고
    • Novikov's inversion formula for the attenuated Radon transform-a new approach
    • Boman J and Strömberg J-O 2004 Novikov's inversion formula for the attenuated Radon transform-a new approach J. Geom. Anal. 14 185-98
    • (2004) J. Geom. Anal. , vol.14 , pp. 185-198
    • Boman J1    Strömberg J-O2
  • 36
    • 2142657981 scopus 로고    scopus 로고
    • On the attenuated Radon transform with full and partial measurements
    • Bal G 2004 On the attenuated Radon transform with full and partial measurements Inverse Problems 20 399-418
    • (2004) Inverse Problems , vol.20 , Issue.2 , pp. 399-418
    • Bal G1
  • 37
    • 0036906132 scopus 로고    scopus 로고
    • Variable sinograms and redundant information in single-photon emission computed tomography with non-uniform attenuation
    • Sidky E Y and Pan X 2002 Variable sinograms and redundant information in single-photon emission computed tomography with non-uniform attenuation Inverse Problems 18 1483-97
    • (2002) Inverse Problems , vol.18 , Issue.6 , pp. 1483-1497
    • Sidky E Y1    Pan X2
  • 38
    • 3042631067 scopus 로고    scopus 로고
    • Stability of the inverse problem for the attenuated Radon transform with 180° data
    • Rullgård H 2004 Stability of the inverse problem for the attenuated Radon transform with 180° data Inverse Problem 20 781-97
    • (2004) Inverse Problem , vol.20 , Issue.3 , pp. 781-797
    • Rullgård H1
  • 39
    • 25444502632 scopus 로고    scopus 로고
    • The attenuated x-ray transform: recent developments
    • Finch D V 2003 The attenuated x-ray transform: recent developments Inside Out: Inverse Problems vol 47 (MSRI Publications) pp 47-66
    • (2003) Inside Out: Inverse Problems , vol.47 , pp. 47-66
    • Finch D V1


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