The well-established concept of subspace algorithms has led us to introduce a new structured problem formulation for Electrical Impedance Tomography. Whereas conventional output-least squares methods can be regarded as minimizing a certain error norm, solutions are recovered here as the minimizers of a closely related residual norm problem. An iterative solution scheme is shown to lead to a sequence of structured sparse matrix problems, the conditioning of which appears to be far more favorable than typically observed in output least squares.
Truyen, B, Dimiccoli, L & Cornelis, J 2006, Structure preserving solution method for 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.
Truyen, B., Dimiccoli, L., & Cornelis, J. (2006). Structure preserving solution method for Electrical Impedance Tomography. In Proceedings SIAM 2006 Annual Meeting (pp. 149-149). Society for Industrial and Applied Mathematics (SIAM).
@inproceedings{89914ca30c9a499b9e762b4de684623a,
title = "Structure preserving solution method for Electrical Impedance Tomography",
abstract = "The well-established concept of subspace algorithms has led us to introduce a new structured problem formulation for Electrical Impedance Tomography. Whereas conventional output-least squares methods can be regarded as minimizing a certain error norm, solutions are recovered here as the minimizers of a closely related residual norm problem. An iterative solution scheme is shown to lead to a sequence of structured sparse matrix problems, the conditioning of which appears to be far more favorable than typically observed in output least squares.",
keywords = "Electrical Impedance Tomography, output least squares methods, structured sparse matrix problems",
author = "Bart Truyen and Luca Dimiccoli 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",
}