Hybrid tomography for conductivity imaging
From MaRDI portal
Publication:3168158
DOI10.1088/0266-5611/28/8/084008zbMath1252.92043arXiv1112.2958OpenAlexW3101047122MaRDI QIDQ3168158
Publication date: 29 October 2012
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.2958
Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
Related Items
Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness ⋮ Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ Analysis of the Magnetoacoustic Tomography with Magnetic Induction ⋮ Jacobian of solutions to the conductivity equation in limited view ⋮ Enforcing Local Non-Zero Constraints in PDEs and Applications to Hybrid Imaging Problems ⋮ Imaging conductivity from current density magnitude using neural networks* ⋮ Critical points for elliptic equations with prescribed boundary conditions ⋮ A fully non-linear optimization approach to acousto-electric tomography ⋮ Imaging Anisotropic Conductivities from Current Densities ⋮ Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems ⋮ Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness ⋮ Lipschitz stability of recovering the conductivity from internal current densities ⋮ Stability and Reconstruction of a Special Type of Anisotropic Conductivity in Magneto-Acoustic Tomography with Magnetic Induction ⋮ Convergence Analysis of the Harmonic \(\boldsymbol{B_{{z}}}\) Algorithm with Single Injection Current in MREIT ⋮ Microlocally accurate solution of the inverse source problem of thermoacoustic tomography ⋮ Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging ⋮ Propagation of singularities for linearised hybrid data impedance tomography ⋮ Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data ⋮ Acousto-electric tomography with total variation regularization ⋮ A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction ⋮ Admittivity imaging from multi-frequency micro-electrical impedance tomography ⋮ Stability in conductivity imaging from partial measurements of one interior current ⋮ On multiple frequency power density measurements II. The full Maxwell's equations ⋮ Reconstruction of a Piecewise Smooth Absorption Coefficient by an Acousto-Optic Process ⋮ Numerical conductivity reconstruction from partial interior current density information in three dimensions ⋮ Parametrix for the inverse source problem of thermoacoustic tomography with reduced data ⋮ A mathematical and numerical framework for ultrasonically-induced Lorentz force electrical impedance tomography ⋮ Iterative regularization for constrained minimization formulations of nonlinear inverse problems
