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On Regularization Parameters for Inverse Problems in Electrocardiography

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Biomedical and Life Physics

Abstract

Regularization methods for applied inverse and ill-posed problems have received considerable attention (see e.g. [1, 2]). We shall be concerned here with determining the optimal regularization parameter required for the solution of the discrete ill-posed problem Aø H = ø B , which arises in electrocardiography when one seeks to recover epicardial potentials ø H from body-surface potentials ø B via a transfer-coefficient matrix A [3, 4]. In saying that the problem is ill-posed, we mean that the matrix A is ill-conditioned, with singular values decaying to zero in such a way that no practical separation point can be identified in the singular value spectrum of A.

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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Clements, J.C., Carroll, R., Horáček, B.M. (1996). On Regularization Parameters for Inverse Problems in Electrocardiography. In: Ghista, D.N. (eds) Biomedical and Life Physics. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-85017-1_22

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  • DOI: https://doi.org/10.1007/978-3-322-85017-1_22

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-85019-5

  • Online ISBN: 978-3-322-85017-1

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