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, 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 = " 149149 " ,

booktitle = " Proceedings SIAM 2006 Annual Meeting " ,

publisher = " Society for Industrial and Applied Mathematics (SIAM) " ,

note = " SIAM 2006 Annual Meeting Conference date: 10-07-2006 Through 14-07-2006 " ,

}