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Volumn 26, Issue 3, 2010, Pages

Hierarchical regularization for edge-preserving reconstruction of PET images

Author keywords

[No Author keywords available]

Indexed keywords

APRIORI; BAYESIAN PARADIGM; EDGE PRESERVING; EFFECTIVE ALGORITHMS; ESTIMATION PROBLEM; HIERARCHICAL MODEL; INTEGRAL GEOMETRY; LOW DOSE; MINIMIZATION ALGORITHMS; PET IMAGES; POISSON PROCESS; RECONSTRUCTION ALGORITHMS; TRANSMISSION TOMOGRAPHY; WELL-DEFINED STRUCTURES; X-RAY TOMOGRAPHY;

EID: 77749311485     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/3/035010     Document Type: Article
Times cited : (30)

References (45)
  • 1
    • 0038444390 scopus 로고    scopus 로고
    • Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms
    • Ahn S and Fessler J 2003 Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms IEEE Trans. Med. Imaging 22 613-26
    • (2003) IEEE Trans. Med. Imaging , vol.22 , pp. 613-626
    • Ahn, S.1    Fessler, J.2
  • 2
    • 70350288449 scopus 로고    scopus 로고
    • An efficient computational method for total variation-penalized poisson likelihood estimation
    • Bardsley J M 2008 An efficient computational method for total variation-penalized poisson likelihood estimation Inverse Probl. Imaging 2 (2) 167-85
    • (2008) Inverse Probl. Imaging , vol.2 , pp. 167-185
    • Bardsley, J.M.1
  • 3
    • 77249103546 scopus 로고    scopus 로고
    • An iterative method for edge-preserving MAP estimation when data-noise is Poisson
    • Bardsley J M and Goldes J 2010 An iterative method for edge-preserving MAP estimation when data-noise is Poisson SIAM J. Sci. Comput. 32 171-85
    • (2010) SIAM J. Sci. Comput. , vol.32 , pp. 171-185
    • Bardsley, J.M.1    Goldes, J.2
  • 4
    • 70350637680 scopus 로고    scopus 로고
    • Regularization parameter selection methods for Ill-posed poisson maximum likelihood estimation
    • doi:10.1088/0266-5611/25/9/095005
    • Bardsley J M and Goldes J 2009 Regularization parameter selection methods for Ill-posed poisson maximum likelihood estimation Inverse Problems 25 095005 (doi:10.1088/0266-5611/25/9/095005)
    • (2009) Inverse Problems , vol.25 , pp. 095005
    • Bardsley, J.M.1    Goldes, J.2
  • 7
    • 2342654684 scopus 로고    scopus 로고
    • A non-negatively constrained convex programming method for image reconstruction
    • Bardsley J M and Vogel C R 2004 A non-negatively constrained convex programming method for image reconstruction SIAM J. Sci. Comput. 25 1326-43
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 1326-1343
    • Bardsley, J.M.1    Vogel, C.R.2
  • 8
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures (with discussions)
    • Besag J 1986 On the statistical analysis of dirty pictures (with discussions) J. R. Stat. Soc. B 48 259-302
    • (1986) J. R. Stat. Soc. , vol.48 , pp. 259-302
    • Besag, J.1
  • 9
    • 84947672901 scopus 로고
    • Towards Bayesian image analysis
    • Besag J 1989 Towards Bayesian image analysis J. Appl. Stat. 16 395-406
    • (1989) J. Appl. Stat. , vol.16 , pp. 395-406
    • Besag, J.1
  • 11
    • 33947368708 scopus 로고    scopus 로고
    • Gaussian hypermodels and recovery of blocky objects
    • Calvetti D and Somersalo E 2007 Gaussian hypermodels and recovery of blocky objects Inverse Probl. 23 733-54
    • (2007) Inverse Probl. , vol.23 , pp. 733-754
    • Calvetti, D.1    Somersalo, E.2
  • 13
    • 44449098586 scopus 로고    scopus 로고
    • Hypermodels in the Bayesian imaging framework
    • DOI 10.1088/0266-5611/24/3/034013, PII S0266561108643427
    • Calvetti D and Somersalo E 2008 Hypermodels in the Bayesian imaging framework Inverse Problems 24 034013 (20pp) doi:10.1088/0266-5611/24/3/034013 (Pubitemid 351763254)
    • (2008) Inverse Problems , vol.24 , Issue.3 , pp. 034013
    • Calvetti, D.1    Somersalo, E.2
  • 15
    • 33749183385 scopus 로고    scopus 로고
    • Bayesian restoration using a new nonstationary edge-preserving image prior
    • Chanta G K, Galatsanos N P and Likas A C 2006 Bayesian restoration using a new nonstationary edge-preserving image prior IEEE Trans. Image Process. 15 2987-97
    • (2006) IEEE Trans. Image Process. , vol.15 , pp. 2987-2997
    • Chanta, G.K.1    Galatsanos, N.P.2    Likas, A.C.3
  • 16
    • 33846894465 scopus 로고    scopus 로고
    • An efficient deconvolution algorithm for estimating oxygen consumption during muscle activities
    • Dash R K, Somersalo E, Cabrera M E and Calvetti D 2007 An efficient deconvolution algorithm for estimating oxygen consumption during muscle activities Comput. Methods Programs Biomed. 85 247-56
    • (2007) Comput. Methods Programs Biomed. , vol.85 , pp. 247-256
    • Dash, R.K.1    Somersalo, E.2    Cabrera, M.E.3    Calvetti, D.4
  • 18
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm
    • Dempster A P, Laird N M and Rubin D B 1977 Maximum likelihood from incomplete data via the EM algorithm J. R. Stat. Soc. B 39 1-38
    • (1977) J. R. Stat. Soc. , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 19
    • 0028446166 scopus 로고
    • Penalized weighted least-squares image reconstruction for positron emission tomography
    • Fessler J 1994 Penalized weighted least-squares image reconstruction for positron emission tomography IEEE Trans. Med. Imaging 13 290-300
    • (1994) IEEE Trans. Med. Imaging , vol.13 , pp. 290-300
    • Fessler, J.1
  • 20
    • 0029392038 scopus 로고
    • Penalized maximum-likelihood image reconstruction using space alternation generalized em algorithms
    • Fessler J and Hero A O 1995 Penalized maximum-likelihood image reconstruction using space alternation generalized EM algorithms IEEE Trans. Image Process. 4 1417-29
    • (1995) IEEE Trans. Image Process. , vol.4 , pp. 1417-1429
    • Fessler, J.1    Hero, A.O.2
  • 22
    • 0342963103 scopus 로고
    • Focal physiological uncoupling of cerebral blood flow and oxidative metabolism during somatosensory stimulation of human subjects
    • Fox P T and Raichle M E 1986 Focal physiological uncoupling of cerebral blood flow and oxidative metabolism during somatosensory stimulation of human subjects Proc. Natl Acad. Sci. USA 83 1140-4
    • (1986) Proc. Natl Acad. Sci. USA , vol.83 , pp. 1140-1144
    • Fox, P.T.1    Raichle, M.E.2
  • 23
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
    • Geman S and Geman D 1984 Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images IEEE Trans. Pattern Anal. Mach. Intell. 6 721-41
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 24
    • 0025404969 scopus 로고
    • Bayesian reconstructions from emission tomography data using a modified em algorithm
    • Green P 1990 Bayesian reconstructions from emission tomography data using a modified EM algorithm IEEE Trans. Med. Imaging 9 84-93
    • (1990) IEEE Trans. Med. Imaging , vol.9 , pp. 84-93
    • Green, P.1
  • 25
    • 0037286773 scopus 로고    scopus 로고
    • Bayesian image reconstruction for transmission tomography using deterministic annealing
    • doi:10.1117/1.1526103
    • Hsiao T, Rangarajan A and Gindi G 2003 Bayesian image reconstruction for transmission tomography using deterministic annealing J. Electron. Imaging 12 7-16 doi:10.1117/1.1526103
    • (2003) J. Electron. Imaging , vol.12 , pp. 7-16
    • Hsiao, T.1    Rangarajan, A.2    Gindi, G.3
  • 26
    • 0024681039 scopus 로고
    • A generalized em algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors
    • Herbert T and Leahy R 1989 A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors IEEE Trans. Med. Imaging 8 194-202
    • (1989) IEEE Trans. Med. Imaging , vol.8 , pp. 194-202
    • Herbert, T.1    Leahy, R.2
  • 29
    • 0021327145 scopus 로고
    • EM reconstruction algorithms for emission and transmission tomography
    • Lange K and Carson R 1984 EM reconstruction algorithms for emission and transmission tomography J. Comput. Assist. Tomogr. 8 306-16
    • (1984) J. Comput. Assist. Tomogr. , vol.8 , pp. 306-316
    • Lange, K.1    Carson, R.2
  • 30
    • 0029512905 scopus 로고
    • Bayesian image reconstruction in SPECT using higher order mechanical models as priors
    • Lee S-J, Rangarajan A and Gindi G 1995 Bayesian image reconstruction in SPECT using higher order mechanical models as priors IEEE Trans. Med. Imaging 14 669-80
    • (1995) IEEE Trans. Med. Imaging , vol.14 , pp. 669-680
    • Lee, S.-J.1    Rangarajan, A.2    Gindi, G.3
  • 31
    • 0026678659 scopus 로고
    • On the convergence of the coordinate descent method for convex differentiable minimization
    • Luo Z-Q and Tseng P 1992 On the convergence of the coordinate descent method for convex differentiable minimization J. Optim. Theory Appl. 72 7-35
    • (1992) J. Optim. Theory Appl. , vol.72 , pp. 7-35
    • Luo, Z.-Q.1    Tseng, P.2
  • 32
    • 33845418028 scopus 로고
    • On the solution of large quadratic programming problems with bound constraints
    • Moré J J and Toraldo G 1991 On the solution of large quadratic programming problems with bound constraints SIAM J. Optim. 1 93-113
    • (1991) SIAM J. Optim. , vol.1 , pp. 93-113
    • Moré, J.J.1    Toraldo, G.2
  • 33
    • 0346456853 scopus 로고    scopus 로고
    • Increased lactate/pyruvate ratio augments blood flow in physiologically activated human brain
    • Mintun M A, Vlassenko A G, Rundle M M and Raichle M E 2004 Increased lactate/pyruvate ratio augments blood flow in physiologically activated human brain Proc. Natl Acad. Sci. USA 101 659-64
    • (2004) Proc. Natl Acad. Sci. USA , vol.101 , pp. 659-664
    • Mintun, M.A.1    Vlassenko, A.G.2    Rundle, M.M.3    Raichle, M.E.4
  • 34
    • 0028711560 scopus 로고
    • Fast gradient-based methods for Bayesian reconstruction of transmission and Emission PET images
    • Mumcuoglu E U, Leahy R, Cherry S R and Zhou Z 1994 Fast gradient-based methods for Bayesian reconstruction of transmission and Emission PET images IEEE Trans. Med. Imaging 13 687-701
    • (1994) IEEE Trans. Med. Imaging , vol.13 , pp. 687-701
    • Mumcuoglu, E.U.1    Leahy, R.2    Cherry, S.R.3    Zhou, Z.4
  • 35
    • 0001116184 scopus 로고
    • A generalized conjugate gradient algorithm for solving a class of quadratic programming problems
    • O'Leary D P 1980 A generalized conjugate gradient algorithm for solving a class of quadratic programming problems Linear Algebr. Appl. 34 371-99
    • (1980) Linear Algebr. Appl. , vol.34 , pp. 371-399
    • O'Leary, D.P.1
  • 38
    • 0020194763 scopus 로고
    • Maximum likelihood reconstruction in positron emission tomography
    • Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction in positron emission tomography IEEE Trans. Med. Imaging 1 113-22
    • (1982) IEEE Trans. Med. Imaging , vol.1 , pp. 113-122
    • Shepp, L.A.1    Vardi, Y.2
  • 40
    • 0010293907 scopus 로고
    • A statistical model for positron emission tomography
    • Vardi Y, Shepp L A and Kaufman L 1985 A statistical model for positron emission tomography J. Am. Stat. Assoc. 80 8-37
    • (1985) J. Am. Stat. Assoc. , vol.80 , pp. 8-37
    • Vardi, Y.1    Shepp, L.A.2    Kaufman, L.3
  • 43
    • 13744250201 scopus 로고    scopus 로고
    • Hierarchical Bayesian models for inverse problems in heat conduction
    • Wang J and Zabaras N 2005 Hierarchical Bayesian models for inverse problems in heat conduction Inverse Problems 21 183-206
    • (2005) Inverse Problems , vol.21 , pp. 183-206
    • Wang, J.1    Zabaras, N.2
  • 44
    • 84956852480 scopus 로고    scopus 로고
    • New statistical models for randoms-precorrected PET scans
    • (Berlin: Springer)
    • Yavuz M and Fessler J A 1997 New statistical models for randoms-precorrected PET scans Information Processing in Medical Imaging ed J Duncan and G Gindi (Berlin: Springer) pp 190-203
    • (1997) Information Processing in Medical Imaging , pp. 190-203
    • Yavuz, M.1    Fessler, J.A.2
  • 45
    • 0036462558 scopus 로고    scopus 로고
    • Edge-preserving tomographic reconstruction with nonlocal regularization
    • Yu D and Fessler J 2002 Edge-preserving tomographic reconstruction with nonlocal regularization IEEE Trans. Med. Imaging 21 159-73
    • (2002) IEEE Trans. Med. Imaging , vol.21 , pp. 159-173
    • Yu, D.1    Fessler, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.