3D reconstruction for partial data electrical impedance tomography using a sparsity prior

DOI10.3934/PROC.2015.0495zbMath1335.65088arXiv1412.6288OpenAlexW3099654760WikidataQ60548988 ScholiaQ60548988MaRDI QIDQ260830

Henrik Garde, Kim Knudsen

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6288

zbMATH Keywords

numerical exampleregularizationCauchy problemTikhonov functionalgradient method3D reconstructionprior informationelectrical impedance tomographysparsitypartial data

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Electro- and magnetostatics (78A30)

Related Items (4)

Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ Low-Frequency Electromagnetic Imaging Using Sensitivity Functions and Beamforming ⋮ 3D reconstruction for partial data electrical impedance tomography using a sparsity prior

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