Numerical solution of the inverse electrocardiography problem with the use of the Tikhonov regularization method

DOI10.3103/S0278641908020015zbMath1161.78006OpenAlexW1976016584MaRDI QIDQ949225

A. V. Kalinin, E. V. Zakharov, A. M. Denisov, V. V. Kalinin

Publication date: 21 October 2008

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641908020015

zbMATH Keywords

Cauchy problemLaplace equationTikhonov regularizationinverse electrocardiography problem

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Sensitivity studies and parameters identification for noisy 3D moving AWJM model ⋮ A method to compute the electric field vector on the surface of the cardiac muscle ⋮ Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary ⋮ Iterative algorithm for the inverse problem of electrocardiography in a medium with piecewise-constant electrical conductivity ⋮ Spectral regularization methods for an abstract ill-posed elliptic problem

Uses Software

• BEMLIB

Cites Work

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• The Cauchy problem for Laplace's equation via the conjugate gradient method
• Optimizational method for solving the Cauchy problem for an elliptic equation

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