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, 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 = " 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 " ,

}