Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Elena Beretta; Stefano Micheletti; Simona Perotto; Matteo Santacesaria

doi:10.1016/j.jcp.2017.10.017

Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Elena Beretta, Stefano Micheletti, Simona Perotto, Matteo Santacesaria

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.

Original language	English (US)
Pages (from-to)	264-280
Number of pages	17
Journal	Journal of Computational Physics
Volume	353
DOIs	https://doi.org/10.1016/j.jcp.2017.10.017
State	Published - Jan 15 2018

Keywords

Electrical impedance tomography
Neumann-to-Dirichlet map
Reconstruction algorithm
Regularization
Shape optimization

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2017.10.017

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abstract = "In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.",

keywords = "Electrical impedance tomography, Neumann-to-Dirichlet map, Reconstruction algorithm, Regularization, Shape optimization",

author = "Elena Beretta and Stefano Micheletti and Simona Perotto and Matteo Santacesaria",

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AU - Beretta, Elena

AU - Micheletti, Stefano

AU - Perotto, Simona

AU - Santacesaria, Matteo

PY - 2018/1/15

Y1 - 2018/1/15

N2 - In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.

AB - In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.

KW - Electrical impedance tomography

KW - Neumann-to-Dirichlet map

KW - Reconstruction algorithm

KW - Regularization

KW - Shape optimization

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JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Abstract

Keywords

ASJC Scopus subject areas

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