Wavelet methods for Ground Penetrating Radar imaging

Fengshan Liu; Yi Ling; Xianggen Xia; Xiquan Shi

doi:10.1016/j.cam.2003.12.036

Wavelet methods for Ground Penetrating Radar imaging

Fengshan Liu^*, Yi Ling, Xianggen Xia, Xiquan Shi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.

Original language	English
Pages (from-to)	459-474
Number of pages	16
Journal	Journal of Computational and Applied Mathematics
Volume	169
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2003.12.036
Publication status	Published - 15 Aug 2004
Externally published	Yes

Keywords

Born approximation
Ground Penetrating Radar imaging
Scattering
Wavelets

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10.1016/j.cam.2003.12.036

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Liu, F., Ling, Y., Xia, X., & Shi, X. (2004). Wavelet methods for Ground Penetrating Radar imaging. Journal of Computational and Applied Mathematics, 169(2), 459-474. https://doi.org/10.1016/j.cam.2003.12.036

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abstract = "A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.",

keywords = "Born approximation, Ground Penetrating Radar imaging, Scattering, Wavelets",

author = "Fengshan Liu and Yi Ling and Xianggen Xia and Xiquan Shi",

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AU - Liu, Fengshan

AU - Ling, Yi

AU - Xia, Xianggen

AU - Shi, Xiquan

PY - 2004/8/15

Y1 - 2004/8/15

N2 - A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.

AB - A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.

KW - Born approximation

KW - Ground Penetrating Radar imaging

KW - Scattering

KW - Wavelets

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DO - 10.1016/j.cam.2003.12.036

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Wavelet methods for Ground Penetrating Radar imaging

Abstract

Keywords

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