Skip to Main content Skip to Navigation
Journal articles

A non-iterative sampling approach using noise subspace projection for EIT

Cédric Bellis 1 Andrei Constantinescu 1 Thomas Coquet 1 Thomas Jaravel 1 Armin Lechleiter 2
2 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This study concerns the problem of the reconstruction of inclusions embedded in a conductive medium in the context of electrical impedance tomography (EIT), which is investigated within the framework of a non-iterative sampling approach. This type of identification strategy relies on the construction of a special indicator function that takes, roughly speaking, small values outside the inclusion and large values inside. Such a function is constructed in this paper from the projection of a fundamental singular solution onto the space spanned by the singular vectors associated with some of the smallest singular values of the data-to-measurement operator. The behavior of the novel indicator function is analyzed. For a subsequent implementation in a discrete setting, the quality of classical finite-dimensional approximations of the measurement operator is discussed. The robustness of this approach is also analyzed when only noisy spectral information is available. Finally, this identification method is implemented numerically and experimentally, and its efficiency is discussed on a set of, partly experimental, examples.
Complete list of metadatas

Cited literature [49 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-00757299
Contributor : Andrei Constantinescu <>
Submitted on : Monday, November 26, 2012 - 3:56:16 PM
Last modification on : Thursday, September 24, 2020 - 4:00:22 PM
Long-term archiving on: : Wednesday, February 27, 2013 - 3:45:40 AM

File

Article_EIT_IP.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Cédric Bellis, Andrei Constantinescu, Thomas Coquet, Thomas Jaravel, Armin Lechleiter. A non-iterative sampling approach using noise subspace projection for EIT. Inverse Problems, IOP Publishing, 2012, ⟨10.1088/0266-5611/28/7/075015⟩. ⟨hal-00757299⟩

Share

Metrics

Record views

1707

Files downloads

794