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

^*此作品的通讯作者

Delaware State University
University of Delaware

科研成果: 期刊稿件 › 文章 › 同行评审

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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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.",

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AU - Ling, Yi

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AU - Shi, Xiquan

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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.

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KW - Born approximation

KW - Ground Penetrating Radar imaging

KW - Scattering

KW - Wavelets

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Wavelet methods for Ground Penetrating Radar imaging

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