Statistical inversion in electrical impedance tomography using mixed total variation and non-convex \(\ell_{p}\) regularization prior

DOI10.1515/JIIP-2013-0064zbMath1331.35391OpenAlexW2564574066MaRDI QIDQ887675

Taufiquar Khan, Thilo Strauss

Publication date: 27 October 2015

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2013-0064

zbMATH Keywords

inverse problemelectrical impedance tomographyEITmetropolis-Hastings algorithmstatistical inversionMarkov chain Monte Carlo method (MCMC)mixed TV and \(\ell_{p}\) priornon-convex \(\ell_{p}\) regularizationnon-convex priortotal variation (TV) prior

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Composite media; random media in optics and electromagnetic theory (78A48) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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An Optimal Bayesian Estimator for Absorption Coefficient in Diffuse Optical Tomography ⋮ Comparison of statistical inversion with iteratively regularized Gauss Newton method for image reconstruction in electrical impedance tomography ⋮ Inverse Problems Involving PDEs with Applications to Imaging

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