Un algoritmo no iterativo para la tomografía de capacitancia eléctrica

Abstract

A novel method is described to solve the 2D inverse parameter identification problem, for image reconstruction of permittivity distribution in the cross section of a pipeline that contain multiphase dielectric fluid, using Electrical Capacitance Tomography. This method is non-iterative and consists of the decomposition of the inverse problem in several simpler problems, each one of them can be solved with a numerically stable procedure, with the necessary theoretical justification. The method takes into account important characteristics of the problem: its non-linearity, its ill posedness and the need to perform a theoretically justified regularization because the errors in data may not allow getting the images of the cross section with all the desired precision. In this paper three of the five problems of the novel method are studied and results for algorithms used for each one are established.