-
1
-
-
8544273733
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
10
-
-
0033083687
-
Application of high-order boundary elements to the electrocardiographic inverse problem
-
Fischer G, Tilg B, Wach P, Modre R, Leder U and Nowak H 1999 Application of high-order boundary elements to the electrocardiographic inverse problem Comput. Methods Programs Biomed. 58 119-31
-
(1999)
Comput. Methods Programs Biomed.
, vol.58
, Issue.2
, pp. 119-131
-
-
Fischer, G.1
Tilg, B.2
Wach, P.3
Modre, R.4
Leder, U.5
Nowak, H.6
-
11
-
-
0000924593
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
34
-
-
0034747382
-
Noninvasive electrical imaging of the heart: Theory and model development
-
Pullan A J, Cheng L K, Nash M P, Bradley C P and Paterson D J 2001 Noninvasive electrical imaging of the heart: theory and model development Ann. Biomed. Eng. 29 817-36
-
(2001)
Ann. Biomed. Eng.
, vol.29
, Issue.10
, pp. 817-836
-
-
Pullan, A.J.1
Cheng, L.K.2
Nash, M.P.3
Bradley, C.P.4
Paterson, D.J.5
-
35
-
-
1942454316
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
|