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Volume 27, Issue 3
An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography

Tianhong Feng & Fuming Ma

Commun. Math. Res., 27 (2011), pp. 279-288.

Published online: 2021-05

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  • Abstract

We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We give an algorithm for solving this inverse problem based on the output nonlinear least-square formulation and the regularized Newton-type iteration. In particular, we present a number of numerical results to highlight the potential and the limitations of this method.

  • Keywords

electrical impedance tomography, conductivity, Levenberg-Marquardt (L-M) algorithm.

  • AMS Subject Headings

35R30, 65M32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-279, author = {Tianhong and Feng and and 18409 and and Tianhong Feng and Fuming and Ma and and 18410 and and Fuming Ma}, title = {An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {3}, pages = {279--288}, abstract = {

We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We give an algorithm for solving this inverse problem based on the output nonlinear least-square formulation and the regularized Newton-type iteration. In particular, we present a number of numerical results to highlight the potential and the limitations of this method.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19091.html} }
TY - JOUR T1 - An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography AU - Feng , Tianhong AU - Ma , Fuming JO - Communications in Mathematical Research VL - 3 SP - 279 EP - 288 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19091.html KW - electrical impedance tomography, conductivity, Levenberg-Marquardt (L-M) algorithm. AB -

We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We give an algorithm for solving this inverse problem based on the output nonlinear least-square formulation and the regularized Newton-type iteration. In particular, we present a number of numerical results to highlight the potential and the limitations of this method.

Tianhong Feng & Fuming Ma. (2021). An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography. Communications in Mathematical Research . 27 (3). 279-288. doi:
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