Compensation of domain modelling errors in the inverse source problem of the Poisson equation: application in electroencephalographic imaging

DOI10.1016/J.APNUM.2016.01.005zbMath1382.65365OpenAlexW2510440694MaRDI QIDQ284924

Ville Rimpiläinen, Jari P. Kaipio, Mike Brookes, Alexandra Koulouri

Publication date: 18 May 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/32134

zbMATH Keywords

Poisson equationelectroencephalographyinverse source problemBayesian inversionmodelling errors

Mathematics Subject Classification ID

Bayesian inference (62F15) Boundary value problems for second-order elliptic equations (35J25) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

Recent trends and advances in solving the inverse problem for EEG source localization

Uses Software

• FieldTrip
• EMD

Cites Work

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• The earth mover's distance as a metric for image retrieval
• Statistical inverse problems: discretization, model reduction and inverse crimes
• Approximation errors and model reduction with an application in optical diffusion tomography
• An approximation error approach for compensating for modelling errors between the radiative transfer equation and the diffusion approximation in diffuse optical tomography
• Mathematical theory and numerical analysis of bioluminescence tomography
• Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem
• Introduction to Bayesian Scientific Computing

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