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Volumn 56, Issue 1, 2011, Pages 57-72

On epicardial potential reconstruction using regularization schemes with the L1-norm data term

Author keywords

[No Author keywords available]

Indexed keywords

BODY SURFACE POTENTIALS; DATA TERMS; ECG INVERSE; EPICARDIAL POTENTIALS; ILL POSED; INVERSE SOLUTION; L1 NORM; L2-NORM; MEASUREMENT NOISE; NORMAL DERIVATIVES; NUMERICAL IMPLEMENTATION; PENALTY TERM; REGULARIZATION SCHEMES; RELATIVE ERRORS; TIKHONOV; TIKHONOV METHOD;

EID: 79551659351     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/56/1/004     Document Type: Article
Times cited : (28)

References (44)
  • 1
    • 0031124308 scopus 로고    scopus 로고
    • A property of the minimum vectors of a regularizing functional defined by means of the absolute norm
    • Alliney S 1997 A property of the minimum vectors of a regularizing functional defined by means of the absolute norm IEEE Trans. Signal Process. 45 913-7
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 913-917
    • Alliney, S.1
  • 2
    • 70350655978 scopus 로고    scopus 로고
    • Use of activation time based Kalman filtering in inverse problem of electrocardiography
    • Berlin: Springer
    • Aydin Ü and Serinagaoglu Y 2009 Use of activation time based Kalman filtering in inverse problem of electrocardiography IFMBE Proc. vol 22 (Berlin: Springer) pp 1200-3
    • (2009) IFMBE Proc. , vol.22 , pp. 1200-1203
    • Aydin, Ü.1    Serinagaoglu, Y.2
  • 3
    • 33947192939 scopus 로고    scopus 로고
    • Evaluation of cortical current density imaging methods using intracranial electrocorticograms and functional MRI
    • Bai X, Towle V L, He E J and He B 2007 Evaluation of cortical current density imaging methods using intracranial electrocorticograms and functional MRI Neuroimage 35 598-608
    • (2007) Neuroimage , vol.35 , pp. 598-608
    • Bai, X.1    Towle, V.L.2    He, E.J.3    He, B.4
  • 4
    • 65349187150 scopus 로고    scopus 로고
    • Validation of a novel catheter guiding method for the ablative therapy of ventricular tachycardia in a phantom model
    • Barley M, CHoppu K J, Galea A M, Armoundas A A, Hirschman G B and Cohen R J 2009a Validation of a novel catheter guiding method for the ablative therapy of ventricular tachycardia in a phantom model IEEE Trans. Biomed. Eng. 56 907-10
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , pp. 907-910
    • Barley, M.1    Choppu, K.J.2    Galea, A.M.3    Armoundas, A.A.4    Hirschman, G.B.5    Cohen, R.J.6
  • 5
    • 65349176592 scopus 로고    scopus 로고
    • A method for guiding ablation catheters to arrhythmogenic sites using body surface electrocardiographic signals
    • Barley M E, Armoundas A A and Cohen R J 2009b A method for guiding ablation catheters to arrhythmogenic sites using body surface electrocardiographic signals IEEE Trans. Biomed. Eng. 56 810-9
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , pp. 810-819
    • Barley, M.E.1    Armoundas, A.A.2    Cohen, R.J.3
  • 9
    • 77953709191 scopus 로고    scopus 로고
    • An efficient two-phase L1-TV method for restoring blurred images with impulse noise
    • Chan R, Dong Y and Hintermuller M 2010 An efficient two-phase L1-TV method for restoring blurred images with impulse noise IEEE Trans. Image Process. 19 1731-9
    • (2010) IEEE Trans. Image Process. , vol.19 , pp. 1731-1739
    • Chan, R.1    Dong, Y.2    Hintermuller, M.3
  • 10
    • 27844461945 scopus 로고    scopus 로고
    • Aspects of total variation regularized L1 function approximation
    • Chan T F and Esedoglu S 2005 Aspects of total variation regularized L1 function approximation SIAM J. Appl. Math. 65 1817-37
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1817-1837
    • Chan, T.F.1    Esedoglu, S.2
  • 11
    • 77953827486 scopus 로고    scopus 로고
    • A duality-based splitting method for L1-TV image restoration with automatic regularization parameter choice
    • Clason C, Jin B and Kunisch K 2010a A duality-based splitting method for L1-TV image restoration with automatic regularization parameter choice SIAM J. Sci. Comput. 32 1484-505
    • (2010) SIAM J. Sci. Comput. , vol.32 , pp. 1484-1505
    • Clason, C.1    Jin, B.2    Kunisch, K.3
  • 12
    • 77953861275 scopus 로고    scopus 로고
    • A semismooth Newton method for L1 data fitting with automatic choice of regularization parameters and noise
    • Clason C, Jin B and Kunisch K 2010b A semismooth Newton method for L1 data fitting with automatic choice of regularization parameters and noise SIAM J. Imaging Sci. 3 119-231
    • (2010) SIAM J. Imaging Sci. , vol.3 , pp. 119-231
    • Clason, C.1    Jin, B.2    Kunisch, K.3
  • 13
    • 84903875993 scopus 로고    scopus 로고
    • Electrical impedance tomography reconstruction using L1 norms for data and image terms
    • Dai T and Adler A 2008 Electrical impedance tomography reconstruction using L1 norms for data and image terms IEEE EMBC 2008 pp 2721-4
    • (2008) IEEE EMBC 2008 , pp. 2721-2724
    • Dai, T.1    Adler, A.2
  • 14
    • 51449090353 scopus 로고    scopus 로고
    • Sparse source imaging in electroencephalography with accurate field modeling
    • Ding L and He B 2008 Sparse source imaging in electroencephalography with accurate field modeling Hum. Brain Mapp. 29 1053-67
    • (2008) Hum. Brain Mapp. , vol.29 , pp. 1053-1067
    • Ding, L.1    He, B.2
  • 15
    • 4243975588 scopus 로고    scopus 로고
    • Inverse problem of electro- and magnetocardiography: Review and recent progress
    • Dössel O 2000 Inverse problem of electro- and magnetocardiography: review and recent progress Int. J. Bioelectromagn. 2 (2)
    • (2000) Int. J. Bioelectromagn. , vol.2 , Issue.2
    • Dössel, O.1
  • 16
    • 70349110051 scopus 로고    scopus 로고
    • Non-invasive model-based localization of ventricular ectopic centers from multichannel ECG
    • Farina D and Dossel O 2009 Non-invasive model-based localization of ventricular ectopic centers from multichannel ECG Int. J. Appl. Electromagn. Mech. 30 289-97
    • (2009) Int. J. Appl. Electromagn. Mech. , vol.30 , pp. 289-297
    • Farina, D.1    Dossel, O.2
  • 17
    • 77349122522 scopus 로고    scopus 로고
    • Acceleration of FEM-based transfer matrix computation for forward and inverse problems of electrocardiography
    • Farina D, Jiang Y and Dossel O 2009 Acceleration of FEM-based transfer matrix computation for forward and inverse problems of electrocardiography Med. Biol. Eng. Comput. 47 1229-36
    • (2009) Med. Biol. Eng. Comput. , vol.47 , pp. 1229-1236
    • Farina, D.1    Jiang, Y.2    Dossel, O.3
  • 18
    • 63949083530 scopus 로고    scopus 로고
    • Application of L1-norm regularization to epicardial potential solution of the inverse electrocardiography problem
    • Ghosh S and Rudy Y 2009 Application of L1-norm regularization to epicardial potential solution of the inverse electrocardiography problem Ann. Biomed. Eng. 37 902-12
    • (2009) Ann. Biomed. Eng. , vol.37 , pp. 902-912
    • Ghosh, S.1    Rudy, Y.2
  • 20
    • 34247267689 scopus 로고    scopus 로고
    • Combination of the LSQR method and a genetic algorithm for solving the electrocardiography inverse problem
    • Jiang M, Xia L, Shou G and Tang M 2007 Combination of the LSQR method and a genetic algorithm for solving the electrocardiography inverse problem Phys. Med. Biol. 52 1277-94
    • (2007) Phys. Med. Biol. , vol.52 , pp. 1277-1294
    • Jiang, M.1    Xia, L.2    Shou, G.3    Tang, M.4
  • 21
    • 79551659953 scopus 로고    scopus 로고
    • Optimization of the electrode positions of multichannel ECG for the reconstruction of ischemic areas by solving the inverse electrocardiographic problem
    • Jiang Y, Qian C, Hanna R, Farina D and Dössel O 2009 Optimization of the electrode positions of multichannel ECG for the reconstruction of ischemic areas by solving the inverse electrocardiographic problem Int. J. Bioelectromagn. 11 27-37
    • (2009) Int. J. Bioelectromagn. , vol.11 , pp. 27-37
    • Jiang, Y.1    Qian, C.2    Hanna, R.3    Farina, D.4    Dössel, O.5
  • 22
    • 0028736851 scopus 로고
    • Use of current density in the regularization of the inverse problem of electrocardiography
    • Khoury D S 1994 Use of current density in the regularization of the inverse problem of electrocardiography Proc. IEEE EMBS 3-6 133-4
    • (1994) Proc. IEEE EMBS , vol.3-6 , pp. 133-134
    • Khoury, D.S.1
  • 23
    • 0027798103 scopus 로고
    • Map3d: Interactive scientific visualization for bioengineering data
    • MacLeod R S and Johnson C R 1993 Map3d: interactive scientific visualization for bioengineering data IEEE EMBS 15 30-1
    • (1993) IEEE EMBS , vol.15 , pp. 30-31
    • MacLeod, R.S.1    Johnson, C.R.2
  • 24
    • 0015360629 scopus 로고
    • Unconstrained inverse electrocardiography: Epicardial potentials
    • Martin R O and Pilkington T C 1972 Unconstrained inverse electrocardiography: epicardial potentials IEEE Trans. Biomed. Eng. 19 276-85
    • (1972) IEEE Trans. Biomed. Eng. , vol.19 , pp. 276-285
    • Martin, R.O.1    Pilkington, T.C.2
  • 27
    • 0038042413 scopus 로고    scopus 로고
    • Minimizers of cost-functions involving nonsmooth data-fidelity terms.Application to the processing of outliers
    • NikolovaM2002 Minimizers of cost-functions involving nonsmooth data-fidelity terms.Application to the processing of outliers SIAM J. Numer. Anal. 40 965-94
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 965-994
    • Nikolova, M.1
  • 28
    • 67349215185 scopus 로고    scopus 로고
    • Cardiac anisotropy in boundary-element models for the electrocardiogram
    • Potse M, Dube B and Vinet A 2009 Cardiac anisotropy in boundary-element models for the electrocardiogram Med. Biol. Eng. Comput. 47 719-29
    • (2009) Med. Biol. Eng. Comput. , vol.47 , pp. 719-729
    • Potse, M.1    Dube, B.2    Vinet, A.3
  • 29
    • 1942454316 scopus 로고    scopus 로고
    • Noninvasive electrocardiographic imaging for cardiac electrophysiology and arrhythmia
    • Ramanathan C, Ghanem R N, Jia P, Ryu K and Rudy Y 2004 Noninvasive electrocardiographic imaging for cardiac electrophysiology and arrhythmia Nat. Med. 10 422-8
    • (2004) Nat. Med. , vol.10 , pp. 422-428
    • Ramanathan, C.1    Ghanem, R.N.2    Jia, P.3    Ryu, K.4    Rudy, Y.5
  • 30
    • 0042878627 scopus 로고    scopus 로고
    • Noninvasive electrocardiographic imaging (ECGI): Application of the generalized minimal residual (GMRes) method
    • Ramanathan C, Jia P, Ghanem R, Calvetti D and Rudy Y 2003 Noninvasive electrocardiographic imaging (ECGI): application of the generalized minimal residual (GMRes) method Ann. Biomed. Eng. 31 981-94
    • (2003) Ann. Biomed. Eng. , vol.31 , pp. 981-994
    • Ramanathan, C.1    Jia, P.2    Ghanem, R.3    Calvetti, D.4    Rudy, Y.5
  • 31
    • 33646598095 scopus 로고    scopus 로고
    • Activation and repolarization of the normal human heart under complete physiological conditions
    • Ramanathan C, Jia P, Ghanem R, Ryu K and Rudy Y 2006 Activation and repolarization of the normal human heart under complete physiological conditions Proc. Natl Acad. Sci. 103 6309-14
    • (2006) Proc. Natl Acad. Sci. , vol.103 , pp. 6309-6314
    • Ramanathan, C.1    Jia, P.2    Ghanem, R.3    Ryu, K.4    Rudy, Y.5
  • 32
    • 59649097565 scopus 로고    scopus 로고
    • Efficient minimization method for a generalized total variation functional
    • Rodriguez P and Wohlberg B 2009 Efficient minimization method for a generalized total variation functional IEEE Trans. Image Process. 18 322-32
    • (2009) IEEE Trans. Image Process. , vol.18 , pp. 322-332
    • Rodriguez, P.1    Wohlberg, B.2
  • 33
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin L, Osher S J and Fatemi E 1992 Nonlinear total variation based noise removal algorithms Physica D 60 259-68
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.J.2    Fatemi, E.3
  • 34
    • 64249130529 scopus 로고    scopus 로고
    • A computationally efficient method for determining the size and location of myocardial ischemia
    • Ruud T S, Nielsen B F, Lysaker M and Sundnes J 2009 A computationally efficient method for determining the size and location of myocardial ischemia IEEE Trans. Biomed. Eng. 56 263-72
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , pp. 263-272
    • Ruud, T.S.1    Nielsen, B.F.2    Lysaker, M.3    Sundnes, J.4
  • 35
    • 20444490023 scopus 로고    scopus 로고
    • Bayesian solutions and performance analysis in bioelectric inverse problems
    • Serinagaoglu Y, Brooks D H and MacLeod R S 2005 Bayesian solutions and performance analysis in bioelectric inverse problems IEEE Trans. Biomed. Eng. 52 1009-20
    • (2005) IEEE Trans. Biomed. Eng. , vol.52 , pp. 1009-1020
    • Serinagaoglu, Y.1    Brooks, D.H.2    MacLeod, R.S.3
  • 36
    • 41149142828 scopus 로고    scopus 로고
    • Truncated total least squares (TTLS): A new regularization method for the solution of ECG inverse problems
    • Shou G, Xia L, Jiang M,Wei Q, Liu F and Crozier S 2008 Truncated total least squares (TTLS): a new regularization method for the solution of ECG inverse problems IEEE Trans. Biomed. Eng. 55 1327-35
    • (2008) IEEE Trans. Biomed. Eng. , vol.55 , pp. 1327-1335
    • Shou, G.1    Xia, L.2    Jiang Mwei, Q.3    Liu, F.4    Crozier, S.5
  • 37
    • 67649218437 scopus 로고    scopus 로고
    • Solving the ECG forward problem by means of standard h- and h-hierachical adaptive linear boundary element method: Comparison with two refinement schemes
    • Shou G, Xia L, Jiang M, Wei Q, Liu F and Crozier S 2009 Solving the ECG forward problem by means of standard h- and h-hierachical adaptive linear boundary element method: comparison with two refinement schemes IEEE Trans. Biomed. Eng. 56 1454-64
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , pp. 1454-1464
    • Shou, G.1    Xia, L.2    Jiang, M.3    Wei, Q.4    Liu, F.5    Crozier, S.6
  • 39
    • 0034477904 scopus 로고    scopus 로고
    • A comparison of spatial regularization with zero and first order Tikhonov regularization for the inverse problem of electrocardiography
    • Throne R D and Olson L G 2000 A comparison of spatial regularization with zero and first order Tikhonov regularization for the inverse problem of electrocardiography Comput. Cardiol. 27 493-6
    • (2000) Comput. Cardiol. , vol.27 , pp. 493-496
    • Throne, R.D.1    Olson, L.G.2
  • 42
    • 77950355123 scopus 로고    scopus 로고
    • Physiological-model-constrained noninvasive reconstruction of volumetric myocardial transmembrane potentials
    • Wang L W, Zhang H Y, Wong K C L, Liu H F and Shi P C 2010 Physiological-model-constrained noninvasive reconstruction of volumetric myocardial transmembrane potentials IEEE Trans. Biomed. Eng. 57 296-315
    • (2010) IEEE Trans. Biomed. Eng. , vol.57 , pp. 296-315
    • Wang, L.W.1    Zhang, H.Y.2    Wong, K.C.L.3    Liu, H.F.4    Shi, P.C.5
  • 43
    • 79551676234 scopus 로고    scopus 로고
    • A new method for estimating cardiac transmembrane potentials from the body surface
    • Wang S and Arthur R M 2009 A new method for estimating cardiac transmembrane potentials from the body surface Int. J. Bioelectromagn. 11 59-63
    • (2009) Int. J. Bioelectromagn. , vol.11 , pp. 59-63
    • Wang, S.1    Arthur, R.M.2
  • 44
    • 36749031147 scopus 로고    scopus 로고
    • An iteratively reweighted norm algorithm for minimization of total variation functionals
    • Wohlberg B and Rodriguez P 2007 An iteratively reweighted norm algorithm for minimization of total variation functionals IEEE Signal Process. Lett. 14 948-51
    • (2007) IEEE Signal Process. Lett. , vol.14 , pp. 948-951
    • Wohlberg, B.1    Rodriguez, P.2


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