A Hybrid Segmentation and D-Bar Method for Electrical Impedance Tomography
From MaRDI portal
Publication:3188204
DOI10.1137/15M1025992zbMath1432.35254arXiv1506.05660MaRDI QIDQ3188204
Sarah Jane Hamilton, Xiaoqun Zhang, Samuli Siltanen, Juan Manuel Reyes
Publication date: 17 August 2016
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05660
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)
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Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness ⋮ Propagation and recovery of singularities in the inverse conductivity problem ⋮ Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT ⋮ The D-bar method for electrical impedance tomography—demystified ⋮ Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data ⋮ A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón’s method in the plane ⋮ Electrical impedance tomography with multiplicative regularization
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