Applying the conventional Output Least Squares method to the nonlinear inverse problem of Electrical Impedance Tomography involves the inversion of a sequence of dense nonstructured matrix problems. Given the dimensionality of currently studied 3D problems, such an approach becomes computationally prohibitive. Starting from a modified problem formulation which retains the underlying sparsity structure, we derived a fast iterative solution method based on imbedding the original displacement rank concept in a conjugate gradient scheme.
Dimiccoli, L, Truyen, B, Cornelis, J & Cornelis, J 2006, Displacement rank concept for solving the inverse problem of Electrical Impedance Tomography. in Proceedings SIAM 2006 Annual Meeting. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, pp. 149-149, SIAM 2006 Annual Meeting
, Boston, Massachusetts, United States, 10/07/06.
Dimiccoli, L., Truyen, B., Cornelis, J., & Cornelis, J. (2006). Displacement rank concept for solving the inverse problem of Electrical Impedance Tomography. In Proceedings SIAM 2006 Annual Meeting (pp. 149-149). Society for Industrial and Applied Mathematics (SIAM).
@inproceedings{33bab7dcee1446298a76cb9863585296,
title = "Displacement rank concept for solving the inverse problem of Electrical Impedance Tomography",
abstract = "Applying the conventional Output Least Squares method to the nonlinear inverse problem of Electrical Impedance Tomography involves the inversion of a sequence of dense nonstructured matrix problems. Given the dimensionality of currently studied 3D problems, such an approach becomes computationally prohibitive. Starting from a modified problem formulation which retains the underlying sparsity structure, we derived a fast iterative solution method based on imbedding the original displacement rank concept in a conjugate gradient scheme.",
keywords = "inverse problems, Electrical Impedance Tomography, sparsity structures, displacement rank",
author = "Luca Dimiccoli and Bart Truyen and Jan Cornelis and Jan Cornelis",
year = "2006",
month = jul,
day = "10",
language = "English",
pages = "149--149",
booktitle = "Proceedings SIAM 2006 Annual Meeting",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
note = "SIAM 2006 Annual Meeting<br/> ; Conference date: 10-07-2006 Through 14-07-2006",
}