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

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2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	459-474
页数	16
期刊	Journal of Computational and Applied Mathematics
卷	169
期	2
DOI	https://doi.org/10.1016/j.cam.2003.12.036
出版状态	已出版 - 15 8月 2004
已对外发布	是

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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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title = "Wavelet methods for Ground Penetrating Radar imaging",

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",

year = "2004",

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AU - Liu, Fengshan

AU - Ling, Yi

AU - Xia, Xianggen

AU - Shi, Xiquan

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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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EP - 474

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

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ER -

Wavelet methods for Ground Penetrating Radar imaging

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