Total Variation Regularization in Electrical Impedance Tomography

Borsic, Andrea and Graham, Brad M. and Adler, Andy and Lionheart, William R.B. (2007) Total Variation Regularization in Electrical Impedance Tomography. [MIMS Preprint]

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Abstract

This paper presents an evaluation of the use of Primal Dual Methods for efficiently regularizing the electric impedance tomography (EIT) problem with the Total Variation (TV) functional. The Total Variation functional is assuming an important role in the regularization of inverse problems thanks to its ability to preserve dis- continuities in reconstructed profiles. This property is desirable in many fields of application of EIT imaging, such as the medical and the industrial, where inter-organ boundaries, in the first case, and inter-phase boundaries, in the latter case, present step changes in electrical properties which are difficult to be reconstructed with traditional regularization methods, as they tend to smooth the reconstructed image. Though desirable, the TV functional leads to the formulation of the inverse problem as a minimization of a non-differentiable function whichcannot be efficiently solved with traditional optimization techniques such as the Newton Method. In this paper we demonstrate the use of Primal Dual - Interior Point Methods (PD-IPM) as a framework for TV regularized inversion.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	Electrical Impedance Tomography, Total Variation, primal dual, interior pointmethod
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 49 Calculus of variations and optimal control; optimization
Depositing User:	Prof WRB Lionheart
Date Deposited:	02 Jun 2007
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/813

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