A D-Bar Algorithm with A Priori Information for 2-Dimensional Electrical Impedance Tomography

DOI10.1137/15M1020137zbMath1381.94007arXiv1505.01196OpenAlexW2529376980MaRDI QIDQ3179617

Jennifer L. Mueller, Melody Alsaker

Publication date: 19 December 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01196

zbMATH Keywords

inverse problemselectrical impedance tomographyD-bar algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (13)

Automated filtering in the nonlinear Fourier domain of systematic artifacts in 2D electrical impedance tomography ⋮ Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness ⋮ Direct regularized reconstruction for the three-dimensional Calderón problem ⋮ Use of an optimized spatial prior in D-bar reconstructions of EIT tank data ⋮ The D-bar method for electrical impedance tomography—demystified ⋮ Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data ⋮ A second order Calderón’s method with a correction term and a priori information ⋮ Incorporating structural prior information and sparsity into EIT using parallel level sets ⋮ 3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion \(\mathbf{t}^{\mathbf{exp}}\) and Calderón methods ⋮ A direct D-bar method for partial boundary data electrical impedance tomography with a priori information ⋮ Complementary use of priors for pulmonary imaging with electrical impedance and ultrasound computed tomography ⋮ Electrical impedance tomography with multiplicative regularization ⋮ Dynamic optimized priors for D-bar reconstructions of human ventilation using electrical impedance tomography

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