The inverse problem of electrocardiography: A solution in terms of single- and double-layer sources on the epicardial surface

De Ambroggi, 1989, Body-surface mapping, 1015 Gulrajani, 1989, The inverse problem of electrocardiography, 237 Rudy, 1988, The inverse problem in electrocardiography: solutions in terms of epicardial potentials, CRC Crit. Rev. Biomed. Eng., 16, 215 Plonsey, 1969, Bioelectric Phenomena, 355 Tikhonov, 1963, On the solution of incorrectly posed problems and the method of regularization, Sov. Math. Dokl., 4, 1035 Tikhonov, 1977 Colli Franzone, 1985, Finite element approximation of regularized solution of the inverse potential problem of electrocardiography and application to experimental data, Calcolo, 22, 91, 10.1007/BF02576202 Hansen, 1992, Analysis of discrete ill-posed problems by means of the L curve, SIAM Rev., 34, 561, 10.1137/1034115 Plonsey, 1969, Bioelectric Phenomena, 203 Barnard, 1967, The application of electromagnetic theory to electrocardiology I: derivation of the integral equations, Biophys. J., 7, 443, 10.1016/S0006-3495(67)86598-6 Barr, 1977, Relating epicardial and body surface potential distributions by means of transfer coefficients based on geometry measurements, IEEE Trans. Biomed. Eng., BME-24, 1, 10.1109/TBME.1977.326201 Courant, 1962, Vol. 1 Sternberg, 1946 Horáček, 1983, Human epicardial potential distributions computed from body-surface-available data, 47 Pilkington, 1987, A comparison of finite element and integral equation formulations for the calculation of electrocardiographic potentials II, IEEE Trans. Biomed. Eng., BME-34, 258, 10.1109/TBME.1987.325956 Meijs, 1989, On the numerical accuracy of the boundary element method, IEEE Trans. Biomed. Eng., BME-36, 1038, 10.1109/10.40805 Messinger-Rapport, 1988, Regularization of the inverse problem in electrocardiography: a model study, Math. Biosci., 89, 79, 10.1016/0025-5564(88)90113-7 Björck, 1990, Constrained least squares problems, 589 Landweber, 1951, An iteration formula for Fredholm integral equations of the first kind, Am. J. Math., 73, 615, 10.2307/2372313 Skilling, 1985, Algorithms and applications, 83 Hansen, 1993, The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Stat. Comput., 14, 1487, 10.1137/0914086 Morozov, 1993 Clements, 1996, On regularization parameters for inverse problems in electrocardiography, 235 Anderson, 1992 Iakovidis, 1992, Improving Tikhonov regularization with linearly constrained optimization: application to the inverse epicardial potential solution, Math. Biosci., 112, 53, 10.1016/0025-5564(92)90088-E Barnard, 1967, The application of electromagnetic theory in electrocardiology II: numerical solution of the integral equations, Biophys. J., 7, 463, 10.1016/S0006-3495(67)86599-8 1988 Oostendorp, 1989, Interpolation on a triangulated 3D surface, J. Comp. Phys., 80, 331, 10.1016/0021-9991(89)90103-4 Martin, 1972, Unconstrained inverse electrocardiography: epicardial potentials, IEEE Trans. Biomed. Eng., BME-19, 276, 10.1109/TBME.1972.324070 Barr, 1976, Inverse solutions directly in terms of potentials, 294 Martin, 1970, Inverse electrocardiography: epicardial potentials Geselowitz, 1963, The concept of an equivalent cardiac generator, Vol. 1, 325 Gabor, 1954, Determination of the resultant dipole of the heart from measurements on the body surface, J. Appl. Phys., 25, 413, 10.1063/1.1721655 Barber, 1961, Heart dipole regions and the measurement of dipole moment, Nature, 192, 141, 10.1038/192141a0 Geselowitz, 1960, Multipole representation of an equivalent cardiac generator, 48, 75 Zablow, 1966, An equivalent cardiac generator which preserves topography, Biophys. J., 6, 535, 10.1016/S0006-3495(66)86674-2 Helmholtz, 1853, Über einige Gesetze der Vertheilung elektrischer Ströme in körperlischen Leitern, mit Anwendung auf die thierisch elektrischen Versuche, Pogg. Ann., 89, 211, 10.1002/andp.18531650603 Helmholtz, 1853, Über einige Gesetze der Vertheilung elektrischer Ströme in körperlischen Leitern, mit Anwendung auf die thierisch elektrischen Versuche, Pogg. Ann., 89, 353, 10.1002/andp.18531650702 Pilkington, 1967, Effect of conductivity interfaces, Bull. Math. Biophys., 29, 705, 10.1007/BF02476921 Plonsey, 1974, On the effect of the torso boundary on surface maps, Adv. Cardiol., 10, 58, 10.1159/000394435 Geselowitz, 1976, Determination of multipole components, 202 Horáček, 1982, A noise-reduction method applicable in body-surface potential mapping, 413 Gelernter, 1964, A mathematical-physical model of the genesis of the electrocardiogram, Biophys. J., 4, 285, 10.1016/S0006-3495(64)86783-7 Barr, 1966, Determining surface potentials from current dipoles, with application to electrocardiography, IEEE Trans. Biomed. Eng., BME-13, 88, 10.1109/TBME.1966.4502411 Cruse, 1974, An improved boundary-integral equation method for three dimensional elastic stress analysis, Comput. Struct., 4, 741, 10.1016/0045-7949(74)90042-X Davis, 1972, Numerical interpolation, differentiation, and integration, 893 Radon, 1948, Zur mechanischen Kubatur, Monatsh. Math., 52, 286, 10.1007/BF01525334 Stroud, 1971 MacLeod, 1990, Percutaneous transluminal coronary angioplasty as a model of cardiac ischemia: clinical and modelling studies