Ground‐penetrating radar land mine imaging: Two‐dimensional seismic migration and three‐dimensional inverse scattering in layered media

Song, Lin-Ping; Liu, Qing

doi:10.1029/2004rs003087

Cited by 16 publications

(12 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…such as the assumptions of a point scatter, a homogeneous soil, and no interactions between the targets [2], [8]- [15]. The model in (1) describes a setup where a series of steppedfrequency signals of strength A, at frequency ω, are sent from a transmitter located at l s and then reflected off a target at location l t = (x t , y t , z t ) with reflection coefficient ρ.…”

Section: A Response Modelmentioning

confidence: 99%

Efficient Algorithm Design for GPR Imaging of Landmines

Krueger

McClellan

Scott

2015

IEEE Trans. Geosci. Remote Sensing

View full text Add to dashboard Cite

Ground-penetrating radar (GPR) is used to image and detect subterranean objects, for example, in landmine detection. Although full 3-D inversion of GPR measurements is possible for simple algorithms such as backprojection, it is impractical when using more advanced algorithms that involve 1 -minimization. Many of the algorithms used for GPR imaging involve the storage, or online generation, of a huge dictionary matrix created from discretizing a high-dimensional nonlinear model. This parametric model includes all the target features that need to be extracted, including 3-D location, object orientation, and target type. As more parameters are added to the model, the dimensionality increases. If uniform sampling is done over high-dimensional parameter space, the size of the dictionary and the complexity of the inversion algorithms rapidly grow, exceeding the capability of real-time processors. This paper shows that strategic structuring of the dictionary, which takes advantage of translational invariance in the model, can reduce the dictionary storage by several orders of magnitude and exploit the fast Fourier transform for fast computation of previously highly impractical, bordering on impossible, 3-D GPR imaging problems.

show abstract

Section: A Response Modelmentioning

confidence: 99%

Efficient Algorithm Design for GPR Imaging of Landmines

Krueger

McClellan

Scott

2015

IEEE Trans. Geosci. Remote Sensing

View full text Add to dashboard Cite

show abstract

“…Once the fields for a given model are obtained, the scatterer can be reconstructed via an inversion method such as the contrast source inversion (CSI) method [14,16,20,29], the Born (BIM) and distorted Born (DBIM) iterative methods [30,38,39], among others. The CSI method constructs a sequence of contrast sources and contrasts iteratively without using a forward solver.…”

Section: Introductionmentioning

confidence: 99%

“…The forward scattering solver is required in most inversion methods [20][21][22][23][24][25][26][27][28][29][30][31][32]. For the numerical solution, the volume integral equation is an appropriate choice since the reconstruction domain is an inhomogeneous medium in most applications.…”

Section: Introductionmentioning

confidence: 99%

“…It is well known that iterative methods, e.g. the conjugate-gradient (CG) method and biconjugate-gradient (BCG) method, are much more efficient than direct fullwave solvers, such as the Method of Moments (MoM) [21][22][23][24][25][26][27][28][29][30][31][32]. For this reason, the stabilized biconjugate-gradient/fast Fourier transform algorithm (BCGS-FFT) has been chosen as a fullwave forward solver [25,27,28].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three-dimensional electromagnetic nonlinear inversion in layered media by a hybrid diagonal tensor approximation: Stabilized biconjugate gradient fast Fourier transform method

Wei

Şimşek

et al. 2007

Waves in Random and Complex Media

Self Cite

View full text Add to dashboard Cite

This paper presents an efficient three-dimensional nonlinear electromagnetic inversion method in a multilayered medium for radar applications where the object size is comparable to the wavelength. In the first step of this two-step inversion algorithm, the diagonal tensor approximation is used in the Born iterative method. The solution of this approximate inversion is used as an initial guess for the second step in which further inversion is carried out using a distorted Born iterative method. Since the aim of the second step is to improve the accuracy of the inversion, a full-wave solver, the stabilized biconjugate-gradient fast Fourier transform algorithm, is used for forward modelling. The conjugategradient method is applied at each inversion iteration to minimize the functional cost. The usage of an iterative solver based on the FFT algorithm and the developed recursive matrix method combined with an interpolation technique to evaluate the layered medium Green's functions rapidly, makes this method highly efficient. An inversion problem with 32 768 complex unknowns can be solved with 1% relative error by using a simple personal computer. Several numerical experiments for arbitrarily located source and receiver arrays are presented to show the high efficiency and accuracy of the proposed method.

show abstract

“…In particular, such applications are common to geophysical exploration, environmental characterization, and subsurface sensing of landmines, through-wall-imaging, medical imaging and underground structures [1][2][3][4][5][6]. Electromagnetic inverse scattering for subsurface sensing is complicated and challenging in two-fold: one is that electromagnetic wave propagation is essentially three-dimensional wave phenomena and waves interact in a complex way with ground surface, subsurface layers, and objects; the other is that this class of inverse problems involve intensive computation and are nonlinear and ill-posed.…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of Objects Buried in Layered Media Based on an Equivalent Current Source

Zhang¹,

Peng²,

Wen³

et al. 2015

PIER M

View full text Add to dashboard Cite

Abstract-In this paper, a novel algorithm based on an equivalent current source is proposed to reconstruct objects buried in a multilayered medium. First, a radiating current source, one part of the equivalent current source, is obtained directly in closed-form from scattering data via the signalsubspace method. Secondly, a nonradiating current source, the other part of the equivalent current source, is represented with the linear superposition of vectors in the noise-subspace. Finally, the objects and equivalent current source are reconstructed efficiently by solving an optimization problem in a lower dimensional linear space with the conjugate gradient (CG) method. To test the new method, the effects of the frequency of incident wave, array aperture size, and SNR are studied in detail. Numerical results show that the proposed method has a high capacity to reconstruct objects buried in a multilayered medium.

show abstract

Ground‐penetrating radar land mine imaging: Two‐dimensional seismic migration and three‐dimensional inverse scattering in layered media

Cited by 16 publications

References 29 publications

Efficient Algorithm Design for GPR Imaging of Landmines

Efficient Algorithm Design for GPR Imaging of Landmines

Three-dimensional electromagnetic nonlinear inversion in layered media by a hybrid diagonal tensor approximation: Stabilized biconjugate gradient fast Fourier transform method

Reconstruction of Objects Buried in Layered Media Based on an Equivalent Current Source

Contact Info

Product

Resources

About