Journal Article

A regularized solution for the inverse conductivity problem using mollifiers

Abstract

In this article, we present a reconstruction method for the inverse conductivity problem suitable for smooth conductivity distributions. The inverse problem is reformulated in terms of a pair of coupled integral equations, one of which is of the first kind which we regularize using mollifier methods. An interesting feature of this method is that the kernel of this integral equation is not given, but can be modified for the choice of mollifier. We are able to obtain conductivity reconstructions rapidly and without relying on accurate a priori information.

Attached files

Authors

Maass, P
Pidcock, M
Sebu, C

Oxford Brookes departments

Faculty of Technology, Design and Environment
Faculty of Technology, Design and Environment\Department of Mechanical Engineering and Mathematical Sciences

Dates

Year of publication: 2010
Date of RADAR deposit: 2011-03-28

---

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

---

Related resources

This RADAR resource is a version of A regularized solution for the inverse conductivity problem using mollifiers