Regularization of the inverse problem in electrocardiography: A model study

作者: Barbara J. Messinger-Rapport , Yoram Rudy

DOI: 10.1016/0025-5564(88)90113-7

关键词: Inverse problemInverseMathematicsGaussian noiseGeometryTransfer matrixTorsoRegularization (mathematics)Approximation errorMathematical analysisTikhonov regularization

摘要: Abstract An analytic, eccentric-spheres model was used to test the efficacy of different regularization techniques based on Tikhonov family regularizers. The model, although simple, retains relative size and position heart within body may incorporate all inhomogeneities human torso. boundary-element method construct a transfer matrix relating surface potentials epicardial potentials, for homogeneous form model. Different were compared in presence potential noise errors estimating conductivities, position. Results indicate that error inverse-recovered with does not rise proportionally level. (RE) 5% Gaussian level is 0.17; 20% it 0.29. Additionally, regularized inverse procedure shown restore smoothness accuracy size, which, using an unregularized inversion, would lead large-amplitude oscillations solution.

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