Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
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Publication:1701280
DOI10.1016/j.jcp.2017.10.017zbMath1380.65038arXiv1707.08413OpenAlexW2963523459MaRDI QIDQ1701280
Simona Perotto, Stefano Micheletti, Elena Beretta, Matteo Santacesaria
Publication date: 22 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.08413
regularizationshape optimizationreconstruction algorithmNeumann-to-Dirichlet mapelectrical impedance tomography
Biomedical imaging and signal processing (92C55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Optimization of shapes other than minimal surfaces (49Q10) Optimization problems in optics and electromagnetic theory (78M50)
Related Items (16)
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements ⋮ Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements ⋮ Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion ⋮ Electrical impedance tomography with deep Calderón method ⋮ Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion ⋮ Shape sensitivity analysis for a microchannel cooling system ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ Reconstruction of piecewise constant layered conductivities in electrical impedance tomography ⋮ Recovering elastic inclusions by shape optimization methods with immersed finite elements ⋮ Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains ⋮ A transmission problem on a polygonal partition: regularity and shape differentiability ⋮ An adjoint state method for an Schrödinger inverse problem ⋮ Shape optimization of Navier-Stokes flows by a two-grid method ⋮ Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map ⋮ Optimization of Bathymetry for Long Waves with Small Amplitude
Uses Software
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