Title :
A numerical analysis concerning microwave imaging in Lp Banach spaces by using an inexact Newton method
Author :
Estatico, Claudio ; Fedeli, A. ; Pastorino, Matteo ; Randazzo, Andrea
Author_Institution :
Dept. of Math., Univ. of Genoa, Genoa, Italy
Abstract :
In this paper, we seek to find some guidelines for the selection of the main parameters of a recently proposed microwave imaging method developed in the framework of Banach spaces. In fact, its capability of reconstructing unknown targets better than the standard Hilbert space techniques has been already proven in various situations. However, in order to exploit the full potential of this method, it is of great importance to find some rules for the choice of the main parameters that characterize the reconstruction procedure. To this end, several numerical evaluations with canonical targets are presented and discussed, in order to provide optimal imaging conditions.
Keywords :
Banach spaces; Hilbert spaces; Newton method; microwave imaging; numerical analysis; Lp Banach spaces; inexact Newton method; microwave imaging method; numerical analysis; optimal imaging conditions; standard Hilbert space techniques; Dielectrics; Image reconstruction; Imaging; Inverse problems; Noise; Permittivity; Standards; Banach spaces; Inverse problems; Iterative algorithms; Microwave imaging; Newton method;
Conference_Titel :
Imaging Systems and Techniques (IST), 2014 IEEE International Conference on
Conference_Location :
Santorini
DOI :
10.1109/IST.2014.6958437