Edge-Enhancing Reconstruction Algorithm for Three-Dimensional Electrical Impedance Tomography

DOI10.1137/140971750zbMath1325.78007arXiv1406.1279OpenAlexW2031753015MaRDI QIDQ5251933

Nuutti Hyvönen, Stratos Staboulis, Lauri Harhanen, H. Majander

Publication date: 21 May 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1279

zbMATH Keywords

electrical impedance tomographycomplete electrode modeledge-preferring regularizationpriorconditioningleast squares QR factorization (LSQR)

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (11)

Stochastic Galerkin Finite Element Method with Local Conductivity Basis for Electrical Impedance Tomography ⋮ Efficient Inclusion of Total Variation Type Priors in Quantitative Photoacoustic Tomography ⋮ Generalized linearization techniques in electrical impedance tomography ⋮ Bayesian design of measurements for magnetorelaxometry imaging ^* ⋮ Isotropic and anisotropic total variation regularization in electrical impedance tomography ⋮ Edge-promoting reconstruction of absorption and diffusivity in optical tomography ⋮ Equivalence of weak and strong modes of measures on topological vector spaces ⋮ Approximation error method for imaging the human head by electrical impedance tomography* ⋮ Sound speed uncertainty in acousto-electric tomography ⋮ Edge-Promoting Adaptive Bayesian Experimental Design for X-ray Imaging ⋮ A data-driven edge-preserving D-bar method for electrical impedance tomography

Uses Software

• LSQR
• CRAIG

Cites Work

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