Detection, Location, and Imaging of Multiple Scatterers by Means of the Iterative Multiscaling Method

Multi-Resolution Retrieval of Non-Measurable Equivalent Currents in Microwave Imaging Problems-Experimental Assessment

“…, I, I = s being the finer resolution and N (i) is the number of partition sub-domains at the i-th resolution level. To solve the inverse problem at hand, the Data and State equations are evaluated at each step of the multi-resolution approach within the RoI where a synthetic zoom takes place [21] and the dielectric properties of the remaining part of Γ inv are set to those of the background. More specifically, the LippmannSchwinger integral equations [22] are expressed as…”

“…, I, cells for the bare and multi-resolution approach, respectively. Dataset "dielT M dec8f.exp" -Benchmark "Marseille" [21]. Qualitative error figures for the reconstructions of …”

“…Dataset "twodielT M 8f.exp" -Benchmark "Marseille" [21]. Object function reconstruction -Retrieved distributions with the IM SA-N R approach at s = S end .…”

Microwave Imaging Within the Interval Analysis Framework

“…In order to avoid nonuniqueness and instability as well as to prevent the retrieval of false solutions [28], several inversion strategies have been proposed based on (a) a suitable definition of the integral equations either in exact [29,30] or approximated [31][32][33][34][35] forms to model the scattering phenomena, (b) the exploitation of the available a-priori information on some features of the scenario/scatterers under test [15,[36][37][38][39] or/and the knowledge of input-output samples of data and reference solutions [40][41][42] and/or the information acquired during the inversion process [43][44][45][46][47], and (c) the use of suitable global optimization strategies [48][49][50][51][52][53][54][55]. Whatever the approach, inversion methods generally consider an optimization step aimed at minimizing/maximizing a suitably defined data-mismatch cost function through gradient or evolutionarybased algorithms with still not fully resolved drawbacks.…”

Experimental Results for Microwave Tomography Imaging Based on FDTD and Ga

“…However, the number of unknowns in this approach is greater than that in second approach, and therefore, it requires much more iterations to converge [6]. The second approach for solving the inverse scattering problem measures the scattered field outside the object and tries to minimize the error calculated for a possible solution using a forward solver [9,10]. This approach is computationally intensive because the system of equations that is used to calculate the scattered fields (whether using Integral Equations (IE) or Partial Differential Equations (PDE)), has to be built at each iteration.…”