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Volumn 24, Issue 2, 2003, Pages 428-442

An analysis of the zero-crossing method for choosing regularization parameters

Author keywords

Discrete ill posed problems; Inverse problem of electrocardiography; L curve; Parameter choice; Regularization

Indexed keywords

ELECTROCARDIOGRAPHY; INVERSE PROBLEMS; PROBLEM SOLVING;

EID: 0037246540     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500373516     Document Type: Article
Times cited : (15)

References (23)
  • 2
    • 0019705785 scopus 로고
    • A numerical procedure to inversely compute epicardial potentials from body surface maps applied to a normal human subject
    • IEEE Computer Society Press, Los Alamitos, CA
    • P. COLLI-FRANZONE, L. GUERRI, B. TACCARDI, AND C. VIGANOTTI, A numerical procedure to inversely compute epicardial potentials from body surface maps applied to a normal human subject, in Computers in Cardiology, IEEE Computer Society Press, Los Alamitos, CA, 1981, pp. 187-190.
    • (1981) Computers in Cardiology , pp. 187-190
    • Colli-Franzone, P.1    Guerri, L.2    Taccardi, B.3    Viganotti, C.4
  • 3
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • G. H. GOLUB, M. HEATH, AND G. WAHBA, Generalized cross-validation as a method for choosing a good ridge parameter, Technometrics, 21 (1979), pp. 215-223.
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 7
    • 0001562505 scopus 로고
    • The inverse problem of electrocardiology
    • 1st ed., Pergamon Press
    • R. M. GULRAJANI, F. A. ROBERGE, AND P. SAVARD, The inverse problem of electrocardiology, in Comprehensive Electrocardiology, Vol. 1, 1st ed., Pergamon Press, 1989, pp. 237-288.
    • (1989) Comprehensive Electrocardiology , vol.1 , pp. 237-288
    • Gulrajani, R.M.1    Roberge, F.A.2    Savard, P.3
  • 8
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • P. C. HANSEN, Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev., 34 (1992), pp. 561-580.
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 9
    • 13344267706 scopus 로고
    • Regularization Tools: A MATLAB package for analysis and solution of discrete ill-posed problems
    • P. C. HANSEN, Regularization Tools: A MATLAB package for analysis and solution of discrete ill-posed problems, Numer. Algorithms, 6 (1994), pp. 1-35.
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 12
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problems
    • P. C. HANSEN AND D. P. O'LEARY, The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Comput., 14 (1993), pp. 1487-1503.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 13
    • 84973553839 scopus 로고    scopus 로고
    • Inverse problems for partial differential equations
    • Springer-Verlag, New York
    • V. ISAKOV, Inverse Problems for Partial Differential Equations, Appl. Math. Sci. 127, Springer-Verlag, New York, 1998.
    • (1998) Appl. Math. Sci. , vol.127
    • Isakov, V.1
  • 14
    • 0031023091 scopus 로고    scopus 로고
    • A new method for regularisation parameter determination in the inverse problem of electrocardiography
    • P. R. JOHNSTON AND R. M. GULRAJANI, A new method for regularisation parameter determination in the inverse problem of electrocardiography, IEEE Trans. Biomed. Engrg., 44 (1997), pp. 19-39.
    • (1997) IEEE Trans. Biomed. Engrg. , vol.44 , pp. 19-39
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 15
    • 0034283123 scopus 로고    scopus 로고
    • Selecting the corner in the L-curve approach to Tikhonov regularisation
    • P. R. JOHNSTON AND R. M. GULRAJANI, Selecting the corner in the L-curve approach to Tikhonov regularisation, IEEE Trans. Biomed. Engrg., 47 (2000), pp. 1293-1297.
    • (2000) IEEE Trans. Biomed. Engrg. , vol.47 , pp. 1293-1297
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 16
    • 85160637572 scopus 로고    scopus 로고
    • A comparison of methods for regularisation parameter determination in the inverse problem of electrocardiography
    • P. R. Johnston, ed., WIT Press, Southampton, UK
    • P. R. JOHNSTON AND R. M. GULRAJANI, A comparison of methods for regularisation parameter determination in the inverse problem of electrocardiography, in Computational Inverse Problems in Electrocardiography, Advances in Computational Bioengineering 5, P. R. Johnston, ed., WIT Press, Southampton, UK, 2001, pp. 191-227.
    • (2001) Computational Inverse Problems in Electrocardiography, Advances in Computational Bioengineering , vol.5 , pp. 191-227
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 21
    • 0000169154 scopus 로고    scopus 로고
    • A regularization parameter in discrete ill-posed problems
    • T. REGIŃSKA, A regularization parameter in discrete ill-posed problems, SIAM J. Sci. Comput., 17 (1996), pp. 740-749.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 740-749
    • Regińska, T.1
  • 23
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy
    • G. WAHBA, Practical approximate solutions to linear operator equations when the data are noisy, SIAM J. Numer. Anal., 14 (1977), pp. 651-667.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 651-667
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.