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Volumn 28, Issue 1, 2012, Pages

High-order total variation minimization for interior SPECT

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTED TOMOGRAPHY; EXPLICIT FORMULA; HIGH-ORDER; INTERIOR PROBLEM; PIECEWISE POLYNOMIAL FUNCTIONS; PIECEWISE POLYNOMIALS; REGION OF INTEREST; SPECT PROJECTIONS; THEORETICAL RESULT; TOTAL VARIATION MINIMIZATION;

EID: 84855371329     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/28/1/015001     Document Type: Article
Times cited : (27)

References (31)
  • 1
    • 26844472018 scopus 로고    scopus 로고
    • An efficient reconstruction method for nonuniform attenuation compensation in nonparallel beam geometries based on Novikov's explicit inversion formula
    • DOI 10.1109/TMI.2005.857026
    • Li T et al 2005 An efficient reconstruction method for nonuniform attenuation compensation in nonparallel beam geometries based on Novikov's explicit inversion formula IEEE Trans. Med. Imaging 24 135768 (Pubitemid 41463572)
    • (2005) IEEE Transactions on Medical Imaging , vol.24 , Issue.10 , pp. 1357-1368
    • Li, T.1    You, J.2    Wen, J.3    Liang, Z.4
  • 2
    • 21344434835 scopus 로고    scopus 로고
    • Analytical fan-beam and cone-beam reconstruction algorithms with uniform attenuation correction for SPECT
    • DOI 10.1088/0031-9155/50/13/013
    • Tang Q L, Zeng G S L and Gullberg G T 2005 Analytical fan-beam and cone-beam reconstruction algorithms with uniform attenuation correction for SPECT Phys. Med. Biol. 50 315370 (Pubitemid 40905191)
    • (2005) Physics in Medicine and Biology , vol.50 , Issue.13 , pp. 3153-3170
    • Tang, Q.1    Zeng, G.L.2    Gullberg, G.T.3
  • 3
    • 28044451067 scopus 로고    scopus 로고
    • Exact fan-beam and 4 pi-acquisition cone-beam SPECT algorithms with uniform attenuation correction
    • Tang Q L et al 2005 Exact fan-beam and 4 pi-acquisition cone-beam SPECT algorithms with uniform attenuation correction Med. Phys. 32 34407
    • (2005) Med. Phys. , vol.32 , Issue.11 , pp. 3440-3447
    • Tang, Q.L.1
  • 4
    • 33947409224 scopus 로고    scopus 로고
    • Image reconstruction from truncated data in single-photon emission computed tomography with uniform attenuation
    • DOI 10.1088/0266-5611/23/2/011, PII S0266561107282395, 011
    • Noo F et al 2007 Image reconstruction from truncated data in single-photon emission computed tomography with uniform attenuation Inverse Problems 23 64567 (Pubitemid 46453827)
    • (2007) Inverse Problems , vol.23 , Issue.2 , pp. 645-667
    • Noo, F.1    Defrise, M.2    Pack, J.D.3    Clackdoyle, R.4
  • 5
    • 8744226637 scopus 로고    scopus 로고
    • An explicit inversion formula for the exponential Radon transform using data from 180°
    • Rullgard H 2004 An explicit inversion formula for the exponential Radon transform using data from 180 Ark. Mat. 42 35362 (Pubitemid 39525751)
    • (2004) Arkiv for Matematik , vol.42 , Issue.2 , pp. 353-362
    • Rullgard, H.1
  • 6
    • 68149172849 scopus 로고    scopus 로고
    • Interior SPECT-exact and stable ROI reconstruction from uniformly attenuated local projections
    • Yu H Y, Yang J S, Jiang M and Wang G 2009 Interior SPECT-exact and stable ROI reconstruction from uniformly attenuated local projections Commun. Numer. Methods Eng. 25 693710
    • (2009) Commun. Numer. Methods Eng. , vol.25 , Issue.6 , pp. 693-710
    • Yu, H.Y.1    Yang, J.S.2    Jiang, M.3    Wang, G.4
  • 7
    • 58049200299 scopus 로고    scopus 로고
    • Reconstruction from uniformly attenuated SPECT projection data using the DBH method
    • Huang Q et al 2009 Reconstruction from uniformly attenuated SPECT projection data using the DBH method IEEE Trans. Med. Imaging 28 1729
    • (2009) IEEE Trans. Med. Imaging , vol.28 , Issue.1 , pp. 17-29
    • Huang, Q.1
  • 8
    • 69249235575 scopus 로고    scopus 로고
    • Exact emission SPECT reconstruction with truncated transmission data
    • Zeng G S L and Gullberg G T 2009 Exact emission SPECT reconstruction with truncated transmission data Phys. Med. Biol. 54 332940
    • (2009) Phys. Med. Biol. , vol.54 , Issue.11 , pp. 3329-3340
    • Zeng, G.S.L.1    Gullberg, G.T.2
  • 9
    • 3042631067 scopus 로고    scopus 로고
    • Stability of the inverse problem for the attenuated Radon transform with 180 degrees data
    • Rullgard H 2004 Stability of the inverse problem for the attenuated Radon transform with 180 degrees data Inverse Problems 20 78197
    • (2004) Inverse Problems , vol.20 , Issue.3 , pp. 781-797
    • Rullgard, H.1
  • 10
    • 38749116981 scopus 로고    scopus 로고
    • A general local reconstruction approach based on a truncated Hilbert transform
    • Ye Y B, Yu H Y, Wei Y C and Wang G 2007 A general local reconstruction approach based on a truncated Hilbert transform Int. J. Biomed. Imaging 2007 63634
    • (2007) Int. J. Biomed. Imaging , vol.2007 , pp. 1
    • Ye, Y.B.1    Yu, H.Y.2    Wei, Y.C.3    Wang, G.4
  • 11
    • 40049084056 scopus 로고    scopus 로고
    • Exact interior reconstruction with cone-beam CT
    • Ye Y B, Yu H Y and Wang G 2007 Exact interior reconstruction with cone-beam CT Int. J. Biomed. Imaging 2007 10693
    • (2007) Int. J. Biomed. Imaging , vol.2007 , pp. 1
    • Ye, Y.B.1    Yu, H.Y.2    Wang, G.3
  • 12
    • 43949102371 scopus 로고    scopus 로고
    • Exact interior reconstruction from truncated limited-angle projection data
    • Ye Y B, Yu H Y and Wang G 2008 Exact interior reconstruction from truncated limited-angle projection data Int. J. Biomed. Imaging 2008 427989
    • (2008) Int. J. Biomed. Imaging , vol.2008
    • Ye, Y.B.1    Yu, H.Y.2    Wang, G.3
  • 13
    • 56249107008 scopus 로고    scopus 로고
    • Local reconstruction using the truncated Hilbert transform via singular value decomposition
    • Yu H Y, Ye Y B and Wang G 2008 Local reconstruction using the truncated Hilbert transform via singular value decomposition J. X-Ray Sci. Technol. 16 24351
    • (2008) J. X-Ray Sci. Technol. , vol.16 , pp. 243-251
    • Yu, H.Y.1    Ye, Y.B.2    Wang, G.3
  • 14
    • 42449133835 scopus 로고    scopus 로고
    • Tiny a priori knowledge solves the interior problem in computed tomography
    • DOI 10.1088/0031-9155/53/9/001, PII S0031915508723194
    • Kudo H et al 2008 Tiny a priori knowledge solves the interior problem in computed tomography Phys. Med. Biol. 53 220731 (Pubitemid 351570907)
    • (2008) Physics in Medicine and Biology , vol.53 , Issue.9 , pp. 2207-2231
    • Kudo, H.1    Courdurier, M.2    Noo, F.3    Defrise, M.4
  • 15
    • 62649137658 scopus 로고    scopus 로고
    • Solving the interior problem of computed tomography using a priori knowledge
    • Courdurier M et al 2008 Solving the interior problem of computed tomography using a priori knowledge Inverse Problems 24 065001
    • (2008) Inverse Problems , vol.24 , Issue.6
    • Courdurier, M.1
  • 19
  • 20
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • DOI 10.1109/TIT.2005.862083
    • Candes E J, Romberg J and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489509 (Pubitemid 43174093)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 21
    • 67649892573 scopus 로고    scopus 로고
    • Compressed sensing based Interior tomography
    • Yu H Y and Wang G 2009 Compressed sensing based Interior tomography Phys. Med. Biol. 54 2791805
    • (2009) Phys. Med. Biol. , vol.54 , Issue.9 , pp. 2791-2805
    • Yu, H.Y.1    Wang, G.2
  • 22
    • 71049127510 scopus 로고    scopus 로고
    • Supplemental analysis on compressed sensing based interior tomography
    • Yu H Y, Yang J S, Jiang M and Wang G 2009 Supplemental analysis on compressed sensing based interior tomography Phys. Med. Biol. 54 N42532
    • (2009) Phys. Med. Biol. , vol.54 , Issue.18
    • Yu, H.Y.1    Yang, J.S.2    Jiang, M.3    Wang, G.4
  • 23
    • 71149113125 scopus 로고    scopus 로고
    • A total variation minimization theorem for compressed sensing based tomography
    • Han W M, Yu H Y and Wang G 2009 A total variation minimization theorem for compressed sensing based tomography Int. J. Biomed. Imaging 2009 125871
    • (2009) Int. J. Biomed. Imaging , vol.2009
    • Han, W.M.1    Yu, H.Y.2    Wang, G.3
  • 24
    • 77749340954 scopus 로고    scopus 로고
    • High-order total variation minimization for interior tomography
    • Yang J S, Yu H Y, Jiang M and Wang G 2010 High-order total variation minimization for interior tomography Inverse Problems 26 29
    • (2010) Inverse Problems , vol.26 , pp. 29
    • Yang, J.S.1    Yu, H.Y.2    Jiang, M.3    Wang, G.4
  • 25
    • 38049066552 scopus 로고
    • The divergent beam x-ray transform
    • Hamaker C et al 1980 The divergent beam x-ray transform Rocky Mt. J. Math. 10 25383
    • (1980) Rocky Mt. J. Math. , vol.10 , Issue.1 , pp. 253-283
    • Hamaker, C.1
  • 26
    • 0001197863 scopus 로고
    • The exponential Radon transform
    • Tretiak O and Metz C 1980 The exponential Radon transform SIAM J. Appl. Math. 39 34154
    • (1980) SIAM J. Appl. Math. , vol.39 , Issue.2 , pp. 341-354
    • Tretiak, O.1    Metz, C.2
  • 27
  • 29
    • 22044455983 scopus 로고    scopus 로고
    • Ordered-subset simultaneous algebraic reconstruction techniques (OS-SART)
    • Wang G and Jiang M 2004 Ordered-subset simultaneous algebraic reconstruction techniques (OS-SART) J. X-ray Sci. Technol. 12 16977 (Pubitemid 40963308)
    • (2004) Journal of X-Ray Science and Technology , vol.12 , Issue.3 , pp. 169-177
    • Wang, G.1    Jiang, M.2
  • 30
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • Harten A et al 1987 Uniformly high order accurate essentially non-oscillatory schemes III J. Comput. Phys. 71 231303
    • (1987) J. Comput. Phys. , vol.71 , Issue.2 , pp. 231-303
    • Harten, A.1
  • 31
    • 68149180924 scopus 로고    scopus 로고
    • A scheme for multi-source interior tomography
    • Wang G, Yu H Y and Ye Y B 2009 A scheme for multi-source interior tomography Med. Phys. 36 357581
    • (2009) Med. Phys. , vol.36 , Issue.8 , pp. 3575-3581
    • Wang, G.1    Yu, H.Y.2    Ye, Y.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.