Subsurface inverse scattering problems: quantifying, qualifying, and achieving the available information

Bucci, O.M.; Crocco, Lorenzo; Isernia, Tommaso; Pascazio, Vito

doi:10.1109/36.964991

Cited by 85 publications

(61 citation statements)

References 24 publications

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“…wavelet transform in order to expand the contrast function characterizing scatterers with respect to the surrounding medium and advance inversion reliability [19], [20].…”

Section: Discussionmentioning

confidence: 99%

Sparse reconstruction algorithms for nonlinear microwave imaging

Zaimaga¹,

Fraysse²,

Lambert³

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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Abstract-This paper presents a two-step inverse process which allows sparse recovery of the unknown (complex) dielectric profiles of scatterers for nonlinear microwave imaging. The proposed approach is applied to a nonlinear inverse scattering problem arising in microwave imaging and correlated with joint sparsity which gives multiple sparse solutions that share a common nonzero support. Numerical results demonstrate the potential of the proposed two step inversion approach when compared to existing sparse recovery algorithm for the case of small scatterers.

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“…wavelet transform in order to expand the contrast function characterizing scatterers with respect to the surrounding medium and advance inversion reliability [19], [20].…”

Section: Discussionmentioning

confidence: 99%

Sparse reconstruction algorithms for nonlinear microwave imaging

Zaimaga¹,

Fraysse²,

Lambert³

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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“…An interesting feature of inverse scattering problems from buried targets is the decrease of the achievable spatial resolution for increasing depth, according to which the faster spatial variation of the unknown contrast can be retrieved only for shallow targets [12]. Although such an observation has been derived for the traditional formulation, it can be applied to the CS-EB formulation as well, again owing to its analogy with the CS model.…”

Section: Exploiting the Cs-eb Model As A Backbone For Inversion Appromentioning

confidence: 99%

“…Hence, approximate solutions, such as the Extended Born (EB) approximation [4] and its heuristic extensions [5] or algebraic preconditioners [6,7] are worth studying as means to improve the convergence rate. The inverse scattering problem is non-linear and ill-posed [8] and it is usually cast as the global optimization of a suitable cost functional [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

The Contrast Source-Extended Born Model for 2d Subsurface Scattering Problems

Crocco¹,

D’Urso²,

Isernia³

2009

PIER B

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Abstract-In this paper, we describe a new full-wave integral equation model to tackle electromagnetic scattering problems arising from objects buried in layered media. Such a model is a rewriting of the usually adopted Contrast Source integral equation and is named Contrast Source-Extended Born (CS-EB) owing to this circumstance and to the relationship existing among its linearization and the Extended Born approximation. By means of this alternative formulation, it is possible to modify the relationship among the scatterer permittivity and the field it scatters, thus possibly reducing the degree of non-linearity of this latter relationship. Accordingly, in these cases, the adoption of the CS-EB model may be convenient with respect to traditional ones in both forward and inverse scattering problems.

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“…In several cases, the inversion strategies have to retrieve a large amount of parameters starting from a limited number of independent measures, fully collectable through multi-illumination/multi-view measurement systems [14] [15]. However, the data are usually corrupted by several kind of errors and because of the ill-posedness and the false solution problems, other types of diversity are usually looked for.…”

Section: Introductionmentioning

confidence: 99%