Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography - Archive ouverte HAL
Journal Articles SIAM Journal on Applied Mathematics Year : 2015

Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography

Abstract

We explain how to build invisible isotropic conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the implementation of an algorithm for approximating the invisible perturbations. The functionality of the method is demonstrated via numerical examples.
Fichier principal
Vignette du fichier
invisible.pdf (1.84 Mo) Télécharger le fichier
Figure1.pdf (434.29 Ko) Télécharger le fichier
Figure3.pdf (9.53 Ko) Télécharger le fichier
Figure4.pdf (415.25 Ko) Télécharger le fichier
Figure5.pdf (230.01 Ko) Télécharger le fichier
Figure6.pdf (57.62 Ko) Télécharger le fichier
Figure8.pdf (196.83 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01109544 , version 1 (26-01-2015)

Identifiers

  • HAL Id : hal-01109544 , version 1

Cite

Lucas Chesnel, Nuutti Hyvönen, Stratos Staboulis. Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography. SIAM Journal on Applied Mathematics, 2015. ⟨hal-01109544⟩
209 View
372 Download

Share

More