2001/10/26 by Kim Knudsen, Knudsen, Kim, Alexandru Tamasan +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Electrical and Bioimpedance Tomography #FOS: Mathematics #Functional Analysis (math.FA) #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #math.AP #math.FA
paper · pdf · doi:10.48550/arxiv.math/0110298
arxiv created 2001/10/26 · openalex publication_date 2001/10/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution γ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction algorithm for the conductivity γ∈ C1+ε(\ol \Om) in the plane domain Ω from the associated Dirichlet to Neumann map on ∂ \Om. Hence we improve earlier reconstruction results. The method used relies on a well-known reduction to a first order system, for which the \ol∂-method of inverse scattering theory can be applied.