relation: http://www.eledia.org/students-reports/408/
title: An Integrated Multi-Scaling Strategy based on a Particle Swarm Algorithm for Inverse Scattering Problems
creator: Donelli, Massimo
creator: Franceschini, Gabriele
creator: Martini, Anna
creator: Massa, Andrea
subject: TU Technical Reports and Publications
description: The application of a multiscale strategy integrated with a stochastic technique to the solution of nonlinear inverse scattering problems is presented. The approach allows for the explicit and easy handling of many difficulties associated with such a problem ranging from ill-conditioning to nonlinearity and false solutions drawback. The choice of a finite dimensional representation for the unknowns, due to the upper bound to the essential dimension of the data, is iteratively accomplished by means of an adaptive multi-resolution model, which offers considerable flexibility for the inclusion of the a-priori knowledge and of the knowledge acquired during the iterative steps of the multiscaling process. Even though a suitable representation of the unknowns could limit the local minima problem, the multi-resolution strategy is integrated with a customized stochastic optimizer based on the behavior of a particle swarm (PSO), which allows to prevent that nonlinearity could induce the solution algorithm into false solutions without a large increasing of the overall computational burden. Selected examples are presented by considering a two-dimensional microwave imaging problem so as to illustrate the key features of the integrated stochastic multi-scaling strategy.
date: 2004-10
type: Technical Report
type: NonPeerReviewed
format: text
language: en
identifier: http://www.eledia.org/students-reports/408/1/DIT-04-081.pdf
identifier:   Donelli, Massimo and Franceschini, Gabriele and Martini, Anna and Massa, Andrea  (2004) An Integrated Multi-Scaling Strategy based on a Particle Swarm Algorithm for Inverse Scattering Problems.  [Technical Report]    (In Press)