An algorithm based on Perturbation Theory for Electrical Capacitance Tomography

L.F.C. Jeanmeure, W.B.J. Zimmerman, T. Dyakowski,

A.J. Jaworski, and G.A. Davies,

Department of Chemical Engineering, UMIST, PO Box 88, Manchester M60 1QD England.

e-mail: MJKSELJ@fs1.ce.umist.ac.uk

Abstract - This paper presents a new algorithm for an image reconstruction for Electrical Capacitance Tomography (ECT). This algorithm is based on the perturbation theory and uses an estimate of the permittivity distribution from a back-projection algorithm. By providing a guess of the D distribution, the problem of limiting the degree of freedom or uncertainty in the image-reconstruction process will be solved. The gain of this new method would not only be a higher speed for the imaging process as it would be possible to implement it on a parallel computation device, in this case the Cellular Neural Network (CNN) paradigm, but also a better resolution than usual back-projection or other techniques.

Keywords: Reconstruction algorithm, perturbation theory, ECT, Cellular Neural Network