메뉴 건너뛰기




Volumn 52, Issue 5, 2007, Pages 1277-1294

Combination of the LSQR method and a genetic algorithm for solving the electrocardiography inverse problem

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GENETIC ALGORITHMS; INVERSE PROBLEMS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING; SINGULAR VALUE DECOMPOSITION;

EID: 34247267689     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/52/5/005     Document Type: Article
Times cited : (32)

References (44)
  • 1
    • 8544273733 scopus 로고    scopus 로고
    • An advanced boundary element method (BEM) implementation for the forward problem of electromagnetic source imaging
    • Akalin Z and Gencer N G 2004 An advanced boundary element method (BEM) implementation for the forward problem of electromagnetic source imaging Phys. Med. Biol. 49 5011-28
    • (2004) Phys. Med. Biol. , vol.49 , Issue.21 , pp. 5011-5028
    • Akalin, Z.1    Gencer, N.G.2
  • 2
    • 0142009025 scopus 로고    scopus 로고
    • CGLS-GCV: A hybrid algorithm for low-rank-deficient problems
    • Bazan F S V 2003 CGLS-GCV: a hybrid algorithm for low-rank-deficient problems Appl. Numer. Math. 47 91-108
    • (2003) Appl. Numer. Math. , vol.47 , Issue.2 , pp. 91-108
    • Bazan, F.S.V.1
  • 4
    • 33744532619 scopus 로고    scopus 로고
    • A framework for studying the regularizing properties of Krylov subspace methods
    • Brianzi P, Favati P, Menchi O and Romani F 2006 A framework for studying the regularizing properties of Krylov subspace methods Inverse Problems 22 1007-21
    • (2006) Inverse Problems , vol.22 , Issue.3 , pp. 1007-1021
    • Brianzi, P.1    Favati, P.2    Menchi, O.3    Romani, F.4
  • 5
    • 0013183906 scopus 로고    scopus 로고
    • On the choice of subspace for iterative methods for linear discrete ill-posed problems
    • Calvetti D, Lewis B and Reichel L 2001 On the choice of subspace for iterative methods for linear discrete ill-posed problems Int. J. Appl. Math. Comput. Sci. 11 1069-92
    • (2001) Int. J. Appl. Math. Comput. Sci. , vol.11 , Issue.5 , pp. 1069-1092
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 6
    • 0042232525 scopus 로고    scopus 로고
    • GMRES, L-curves, and discrete ill-posed problems
    • Calvetti D, Lewis B and Reichel L 2002 GMRES, L-curves, and discrete ill-posed problems BIT Numer. Math. 42 44-65
    • (2002) BIT Numer. Math. , vol.42 , Issue.1 , pp. 44-65
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 7
    • 4043103309 scopus 로고    scopus 로고
    • Tikhonov regularization of large linear problems
    • Calvetti D and Reichel L 2003 Tikhonov regularization of large linear problems BIT Numer. Math. 43 263-83
    • (2003) BIT Numer. Math. , vol.43 , Issue.2 , pp. 263-283
    • Calvetti, D.1    Reichel, L.2
  • 8
    • 0037281306 scopus 로고    scopus 로고
    • Comparison of potential and activation-based formulations for the inverse problem of electrocardiology
    • Cheng L K, Bodley J M and Pullan A J 2003 Comparison of potential and activation-based formulations for the inverse problem of electrocardiology IEEE Trans. Biomed. Eng. 50 11-22
    • (2003) IEEE Trans. Biomed. Eng. , vol.50 , Issue.1 , pp. 11-22
    • Cheng, L.K.1    Bodley, J.M.2    Pullan, A.J.3
  • 9
    • 0022360366 scopus 로고
    • A mathematical procedure for solving the inverse potential problem of electrocardiography-analysis of the time space accuracy from in vitro experimental data
    • Colli Franzone P, Guerri L, Tentoni S, Viganotti C, Baruffi S, Spaggiari S and Taccardi B 1985 A mathematical procedure for solving the inverse potential problem of electrocardiography-analysis of the time space accuracy from in vitro experimental data Math. Biosci. 77 353-96
    • (1985) Math. Biosci. , vol.77 , Issue.1-2 , pp. 353-396
    • Colli Franzone, P.1    Guerri, L.2    Tentoni, S.3    Viganotti, C.4    Baruffi, S.5    Spaggiari, S.6    Taccardi, B.7
  • 11
    • 0000924593 scopus 로고
    • Numerical methods for solving linear least-squares problems
    • Golub G H 1965 Numerical methods for solving linear least-squares problems Numer. Math. 7 206-16
    • (1965) Numer. Math. , vol.7 , Issue.3 , pp. 206-216
    • Golub, G.H.1
  • 12
    • 0000288016 scopus 로고
    • Calculating the singular values and pseudoinverse of a matrix
    • Golub G H and Kahan W 1965 Calculating the singular values and pseudoinverse of a matrix SIAM J. Numer. Anal. 2 205-24
    • (1965) SIAM J. Numer. Anal. , vol.2 , Issue.2 , pp. 205-224
    • Golub, G.H.1    Kahan, W.2
  • 13
    • 0031498439 scopus 로고    scopus 로고
    • Generalized cross-validation for large-scale problems
    • Golub G H and von Matt U 1997 Generalized cross-validation for large-scale problems J. Comput. Graph. Stat. 6 1-34
    • (1997) J. Comput. Graph. Stat. , vol.6 , Issue.1 , pp. 1-34
    • Golub, G.H.1    Von Matt, U.2
  • 14
    • 0024220133 scopus 로고
    • The inverse problem of electrocardiography: Solutions in terms of equivalent sources
    • Gulrajani R M, Savard P and Roberge F A 1988 The inverse problem of electrocardiography: Solutions in terms of equivalent sources CRC Crit. Rev. Biomed. Eng. 16 171-214
    • (1988) CRC Crit. Rev. Biomed. Eng. , vol.16 , Issue.3 , pp. 171-214
    • Gulrajani, R.M.1    Savard, P.2    Roberge, F.A.3
  • 15
    • 0000374864 scopus 로고
    • Truncated SVD solutions to discrete ill-posed problems with ill-determined numerical rank
    • Hansen P C 1990 Truncated SVD solutions to discrete ill-posed problems with ill-determined numerical rank SIAM J. Sci. Stat. Comput. 11 503-18
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , Issue.3 , pp. 503-518
    • Hansen, P.C.1
  • 16
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen P C 1992 Analysis of discrete ill-posed problems by means of the L-curve SIAM Rev. 34 561-80
    • (1992) SIAM Rev. , vol.34 , Issue.4 , pp. 561-580
    • Hansen, P.C.1
  • 17
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problems
    • Hansen P C and O'Leary D P 1993 The use of the L-curve in the regularization of discrete ill-posed problems SIAM J. Sci. Comput. 14 1487-503
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.6 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 18
    • 0003610530 scopus 로고    scopus 로고
    • Hansen P C 1998 Regularization Tools-a Matlab package for analysis and solution of discrete ill-posed problems Technical Report Dept. of Mathematical Modeling, Technical University of Denmark
    • (1998) Technical Report
    • Hansen, P.C.1
  • 19
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes M R and Stiefel E L 1952 Methods of conjugate gradients for solving linear systems J. Res. Natl Bur. Stand. 49 409-36
    • (1952) J. Res. Natl Bur. Stand. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.L.2
  • 20
    • 0024713903 scopus 로고
    • Tailored versus realistic geometry in the inverse problem of electrocardiography
    • Huiskamp G and van Oosterom A 1989 Tailored versus realistic geometry in the inverse problem of electrocardiography IEEE Trans. Biomed. Eng. 36 827-35
    • (1989) IEEE Trans. Biomed. Eng. , vol.36 , Issue.8 , pp. 827-835
    • Huiskamp, G.1    Van Oosterom, A.2
  • 21
    • 0031023091 scopus 로고    scopus 로고
    • A new method for regularization parameter determination in the inverse problem of electrocardiography
    • Johnston P R and Gulrajani R M 1997 A new method for regularization parameter determination in the inverse problem of electrocardiography IEEE Trans. Biomed. Eng. 44 19-39
    • (1997) IEEE Trans. Biomed. Eng. , vol.44 , Issue.1 , pp. 19-39
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 22
    • 0034283123 scopus 로고    scopus 로고
    • Selecting the corner in the L-Curve approach to Tikhonov regularization
    • Johnston P R and Gulrajani R M 2000 Selecting the corner in the L-Curve approach to Tikhonov regularization IEEE Trans. Biomed. Eng. 47 1293-6
    • (2000) IEEE Trans. Biomed. Eng. , vol.47 , Issue.9 , pp. 1293-1296
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 23
    • 0035537408 scopus 로고    scopus 로고
    • Choosing regularization parameters in iterative methods for ill-posed problems
    • Kilmer M E and O'Leary D P 2001 Choosing regularization parameters in iterative methods for ill-posed problems SIAM J. Matrix Anal. Appl. 22 1204-21
    • (2001) SIAM J. Matrix Anal. Appl. , vol.22 , Issue.4 , pp. 1204-1221
    • Kilmer, M.E.1    O'Leary, D.P.2
  • 24
    • 33144489605 scopus 로고    scopus 로고
    • Generalized head models for MEG/EEG: Boundary element method beyond nested volumes
    • Kybic J, Clerc M, Faugeras O, Keriven R and Papadopoulo T 2006 Generalized head models for MEG/EEG: boundary element method beyond nested volumes Phys. Med. Biol. 51 1333-46
    • (2006) Phys. Med. Biol. , vol.51 , Issue.5 , pp. 1333-1346
    • Kybic, J.1    Clerc, M.2    Faugeras, O.3    Keriven, R.4    Papadopoulo, T.5
  • 25
    • 0030088116 scopus 로고    scopus 로고
    • Computer simulation of epicardial potentials using a heart-torso model with realistic geometry
    • Lu W and Xia L 1996 Computer simulation of epicardial potentials using a heart-torso model with realistic geometry IEEE Trans. Biomed. Eng. 43 211-7
    • (1996) IEEE Trans. Biomed. Eng. , vol.43 , Issue.2 , pp. 211-217
    • Lu, W.1    Xia, L.2
  • 26
    • 0031907090 scopus 로고    scopus 로고
    • Recent progress in inverse problems in electrocardiology
    • MacLeod R S and Brooks D H 1998 Recent progress in inverse problems in electrocardiology IEEE Eng. Med. Biol. Mag. 17 73-83
    • (1998) IEEE Eng. Med. Biol. Mag. , vol.17 , Issue.1 , pp. 73-83
    • MacLeod, R.S.1    Brooks, D.H.2
  • 27
    • 0037995749 scopus 로고    scopus 로고
    • On the use of genetic algorithms for solving ill-posed problems
    • Meral N S, Elliott L and Ingham D B 2003 On the use of genetic algorithms for solving ill-posed problems Inverse Problems Eng. 11 105-21
    • (2003) Inverse Problems Eng. , vol.11 , Issue.2 , pp. 105-121
    • Meral, N.S.1    Elliott, L.2    Ingham, D.B.3
  • 30
    • 0001452365 scopus 로고
    • A bidiagonalization-regularization procedure for large scale discretization of ill-posed problems
    • O'Leary D P and Simmons J A 1981 A bidiagonalization-regularization procedure for large scale discretization of ill-posed problems SIAM J. Sci. Stat. Comput. 2 474-89
    • (1981) SIAM J. Sci. Stat. Comput. , vol.2 , Issue.4 , pp. 474-489
    • O'Leary, D.P.1    Simmons, J.A.2
  • 31
    • 0030762582 scopus 로고    scopus 로고
    • Noninvasive electrocardiographic imaging: Reconstruction of epicardial potentials, electrograms, and isochrones and localization of single and multiple electrocardiac events
    • Oster H S et al. 1997 Noninvasive electrocardiographic imaging: reconstruction of epicardial potentials, electrograms, and isochrones and localization of single and multiple electrocardiac events Circulation 96 1012-24
    • (1997) Circulation , vol.96 , pp. 1012-1024
    • Oster, H.S.1
  • 32
    • 0032554675 scopus 로고    scopus 로고
    • Electrocardiographic imaging: Noninvasive characterization of intramural myocardial activation from inverse-reconstructed epicardial potentials and electrograms
    • Oster H S et al. 1998 Electrocardiographic imaging: noninvasive characterization of intramural myocardial activation from inverse-reconstructed epicardial potentials and electrograms Circulation 97 1496-507
    • (1998) Circulation , vol.97 , pp. 1496-1507
    • Oster, H.S.1
  • 33
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares
    • Paige C C and Saunders M A 1982 LSQR: An algorithm for sparse linear equations and sparse least squares ACM Trans. Math. Softw. 8 43-71
    • (1982) ACM Trans. Math. Softw. , vol.8 , Issue.1 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 35
    • 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 Nature Med. 10 422-8
    • (2004) Nature Med. , vol.10 , Issue.4 , pp. 422-428
    • Ramanathan, C.1    Ghanem, R.N.2    Jia, P.3    Ryu, K.4    Rudy, Y.5
  • 36
    • 0042878627 scopus 로고    scopus 로고
    • Noninvasive electrocardiographic imaging (ECGI): Application of the generalized minimal residual (GMRes) method
    • Ramanathan C, Jia P, Ghamen 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 , Issue.8 , pp. 981-994
    • Ramanathan, C.1    Jia, P.2    Ghamen, R.3    Calvetti, D.4    Rudy, Y.5
  • 37
    • 0024254770 scopus 로고
    • The inverse problem in electrocardiography: Solutions in terms of epicardial potentials
    • Rudy Y and Messinger-Rapport B J 1988 The inverse problem in electrocardiography: Solutions in terms of epicardial potentials CRC Crit. Rev. Biomed. Eng. 16 215-68
    • (1988) CRC Crit. Rev. Biomed. Eng. , vol.16 , Issue.3 , pp. 215-268
    • Rudy, Y.1    Messinger-Rapport, B.J.2
  • 38
    • 13844275386 scopus 로고    scopus 로고
    • Lead field computation for the electrocardiographic inverse problem-finite elements versus boundary elements
    • Seger M, Fischer G, Modre R, Messnarz B, Hanser F and Tilg B 2005 Lead field computation for the electrocardiographic inverse problem-finite elements versus boundary elements Comput. Methods Programs Biomed. 77 241-52
    • (2005) Comput. Methods Programs Biomed. , vol.77 , Issue.3 , pp. 241-252
    • Seger, M.1    Fischer, G.2    Modre, R.3    Messnarz, B.4    Hanser, F.5    Tilg, B.6
  • 39
    • 0000369043 scopus 로고    scopus 로고
    • A comparison of higher-order generalized eigensystem techniques and Tikhonov regularization for the inverse problem of electrocardiography
    • Throne R D, Olson L G and Harbik T J 1999 A comparison of higher-order generalized eigensystem techniques and Tikhonov regularization for the inverse problem of electrocardiography Inverse Problems Eng. 7 143-93
    • (1999) Inverse Problems Eng. , vol.7 , pp. 143-193
    • Throne, R.D.1    Olson, L.G.2    Harbik, T.J.3
  • 40
    • 0036721384 scopus 로고    scopus 로고
    • A new method for incorporating weighted temporal and spatial smoothing in the inverse problem of electrocardiography
    • Throne R D, Olson L G and Windle J R 2002 A new method for incorporating weighted temporal and spatial smoothing in the inverse problem of electrocardiography IEEE Trans. Biomed. Eng. 49 1054-9
    • (2002) IEEE Trans. Biomed. Eng. , vol.49 , Issue.9 , pp. 1054-1059
    • Throne, R.D.1    Olson, L.G.2    Windle, J.R.3
  • 41
    • 0001300995 scopus 로고
    • Regularization of incorrectly posed problems
    • Tikhonov A N 1963 Regularization of incorrectly posed problems Sov. Math. 4 1624-7
    • (1963) Sov. Math. , vol.4 , pp. 1624-1627
    • Tikhonov, A.N.1
  • 42
    • 13544268442 scopus 로고    scopus 로고
    • Krylov subspace iterative methods for boundary element method based near-field acoustic holography
    • Valdivia N and Williams E G 2005 Krylov subspace iterative methods for boundary element method based near-field acoustic holography J. Acoust. Soc. Am. 117 711-24
    • (2005) J. Acoust. Soc. Am. , vol.117 , Issue.2 , pp. 711-724
    • Valdivla, N.1    Williams, E.G.2
  • 43
    • 0033013156 scopus 로고    scopus 로고
    • The use of spatial covariance in computing pericardial potentials
    • van Oosterom A 1999 The use of spatial covariance in computing pericardial potentials IEEE Trans. Biomed. Eng. 46 778-87
    • (1999) IEEE Trans. Biomed. Eng. , vol.46 , Issue.7 , pp. 778-787
    • Van Oosterom, A.1
  • 44
    • 22844446646 scopus 로고    scopus 로고
    • Analysis of cardiac ventricular wall motion based on a three-dimensional electromechanical biventricular model
    • Xia L, Huo M, Wei Q, Liu F and Crozier S 2005 Analysis of cardiac ventricular wall motion based on a three-dimensional electromechanical biventricular model Phys. Med. Biol. 50 1901-17
    • (2005) Phys. Med. Biol. , vol.50 , Issue.8 , pp. 1901-1917
    • Xia, L.1    Huo, M.2    Wei, Q.3    Liu, F.4    Crozier, S.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.