EDGE-PRESERVING REGULARIZATION SCHEME APPLIED TO MODIFIED GRADIENT METHOD TO RECONSTRUCT TWO-DIMENSIONAL TARGETS FROM DATA LABORATORY-CONTROLLED
Kamal Belkebir, Alexandre Baussard, Denis Prémel · Electromagnetic waves · 2005
In this paper, a two-dimensional inverse scattering problem dealing with microwave tomography is considered.To solve this non linear and ill-posed problem, an iterative scheme based on the Modified Gradient Method (MGM) is used.The object to be estimated is represented by a complex function, and some modifications of the MGM formulation have been considered.This algorithm leads to an efficient regularization scheme, based on edge preserving functions which act separately on the real and imaginary parts of the object.In order to show the interest of this regularized MGM, the algorithm is tested against laboratory-controlled microwave data.