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Image reconstruction algorithm based on 1-norm for electrical resistance tomography

By: Zhang, L.; Wang, D.; Xu, Y.; Wang, H.;

2011 / IEEE / 978-1-4577-0816-9

Description

This item was taken from the IEEE Conference ' Image reconstruction algorithm based on 1-norm for electrical resistance tomography ' Image reconstruction for Electrical Resistance Tomography (ERT) is an inverse problem, which is both nonlinear and ill-posed. In this paper, the l1-regularized least-squares program (LSP) is presented to improve the results of the reconstructed images due to the sparse feature of the ERT measurement data. The idea is to transform the reconstructed problem into a convex quadratic problem with linear inequality constraints and the solution is obtained by interior-point methods. The simulation results of this LSP were compared with the l2 regularization method, indicating that the new method can avoid the over-smoothing of the reconstructed image based on l1 regularization method and improve the quality of reconstruction images.