TY  - INPR
Y1  - 2004/10//
TI  - An Integrated Multi-Scaling Strategy based on a Particle Swarm Algorithm for Inverse Scattering Problems
A1  - Donelli, Massimo
A1  - Franceschini, Gabriele
A1  - Martini, Anna
A1  - Massa, Andrea
N2  - 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.
AV  - public
UR  - http://www.eledia.org/students-reports/408/
ID  - elediasc12408
ER  -