A Kirchhoff-Based Shape Reconstruction Algorithm for the Multimonostatic Configuration: The Realistic Case of Buried Pipes

Soldovieri, Francesco; Brancaccio, Adriana; Prisco, G.; Leone, Giovanni; Pierri, Rocco

doi:10.1109/tgrs.2008.921959

Cited by 90 publications

(28 citation statements)

References 26 publications

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“…Moreover, we can extend the integral to the union of the different Γ ill (y m ) (corresponding to different x S ), let us call itΓ(y m ). This way, neither the unknown nor the mathematical relationship linking the unknown to the scattered field depend on the source position [17] and the problem can now be stated as the inversion of the following linear integral operator…”

Section: Mathematical Formulation and Inversion Algorithmmentioning

confidence: 99%

3d Sliced Tomographic Inverse Scattering Experimental Results

Solimene¹,

Brancaccio²,

Napoli³

et al. 2010

PIER

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Abstract-The problem of imaging three-dimensional strong scatterers by means of a two-dimensional sliced tomographic reconstruction algorithm is dealt with. In particular, the focus of the paper is on the experimental validation of the involved inversion algorithm thanks to measurements collected in a controlled environment. A simple strategy exploiting reconstructions obtained at different time instants in order to detect slowly moving scatterers is also experimentally validated.

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Section: Mathematical Formulation and Inversion Algorithmmentioning

confidence: 99%

3d Sliced Tomographic Inverse Scattering Experimental Results

Solimene¹,

Brancaccio²,

Napoli³

et al. 2010

PIER

Self Cite

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“…S(f ) = −j/(4πωµ 0 ) is a term only-frequency dependent, wherein j is the imaginary unit and ω = 2πf (being f the working frequency); β and µ 0 represent the wavenumber of the investigated medium and the magnetic permeability in free space, respectively. We assume that the objects to be investigated have a planar shape and dimensions comparable with the probing wavelength, and that they are located in a plane at constant depthz; under these assumptions, it is possible to exploit the Kirchhoff Approximation [10,11] and to write the electric density current induced on the target's surface as…”

Section: Problem Formulationmentioning

confidence: 99%

“…In particular, the formulation of the reconstruction problem as a linear inverse one is achieved by means of the adoption of the Kirchhoff Approximation (see [10,11]). By using a linear formulation, the inverse problem is solved by exploiting the assessed tool of the Singular Value Decomposition [12], which permits to set-up stable inversion schemes and also to investigate their reconstruction performances [12][13][14][15].…”

Section: Introduction and Motivationsmentioning

confidence: 99%

A Simple Processing Approach for Holographic Rascan Data

Soldovieri

Morabito²,

D’Agostino³

et al. 2010

PIER

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Abstract-This paper presents a reconstruction approach which exploits the field detected by a holographic radar in order to localize and geometrically qualify a set of scattering objects. In particular, thanks to the adoption of the Kirchhoff Approximation, the problem is formulated as a linear inverse one wherein the unknown function is the characteristic function accounting for the support (location and geometry) of the target(s). The reconstruction performances of the approach are investigated through an accurate numerical analysis, and an experimental validation is also performed with the aim of testing the effectiveness and the practical relevance of the proposed method.

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“…The migration techniques are the traditional GPR imaging tools enabling to localize the targets with relatively high-resolution [4], [5], [6]. The Kirchhoff migration is applied onto the B-scan GPR data obtained either using the measurements in the CentraleSupélec anechoic chamber or the synthetic data computed by the electromagnetic simulation software CST MICROWAVE STUDIO (CST-MWS).…”

Section: Introductionmentioning

confidence: 99%

Ground penetrating radar data imaging via Kirchhoff migration method

Liu¹,

Serhir²,

Kameni³

et al. 2017

2017 International Applied Computational Electromagnetics Society Symposium - Italy (ACES)

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Abstract-In this paper the imaging of Ground Penetrating Radar (GPR) scenario via Kirchhoff migration (KM) method is seen as a validation of the controlled experimental data and as a first step toward more elaborate imaging techniques. One of our goals is to have the possibility to acquire experimental data in a controlled laboratory environment. The bi-static GPR data is then acquired and validated by comparison with electromagnetic simulation. The imaging process is obtained using either the total field or the filtered one.

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A Kirchhoff-Based Shape Reconstruction Algorithm for the Multimonostatic Configuration: The Realistic Case of Buried Pipes

Cited by 90 publications

References 26 publications

3d Sliced Tomographic Inverse Scattering Experimental Results

3d Sliced Tomographic Inverse Scattering Experimental Results

A Simple Processing Approach for Holographic Rascan Data

Ground penetrating radar data imaging via Kirchhoff migration method

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