Wavelet methods for Ground Penetrating Radar imaging

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 e...

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Published in:Journal of computational and applied mathematics Vol. 169; no. 2; pp. 459 - 474
Main Authors: Liu, Fengshan, Ling, Yi, Xia, Xianggen, Shi, Xiquan
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 15.08.2004
Elsevier
Subjects:
Born approximation
Exact sciences and technology
Fourier analysis
Ground Penetrating Radar imaging
Integral equations, integral transforms
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Scattering
Sciences and techniques of general use
Wavelets
65R32
Wavelets
65R20
42C40
65F22
Scattering
65T60
Born approximation
Ground Penetrating Radar imaging
Ground penetrating radar
Green function
Laplacian
Inverse problem
Scattering theory
Numerical approximation
Numerical analysis
Applied mathematics
Radar imaging
Integral equation
Galerkin method
ISSN:0377-0427, 1879-1778
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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.
AbstractList 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.
Author Liu, Fengshan
Shi, Xiquan
Xia, Xianggen
Ling, Yi
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  fullname: Xia, Xianggen
  organization: Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA
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  givenname: Xiquan
  surname: Shi
  fullname: Shi, Xiquan
  organization: Applied Mathematics Research Center, Department of Mathematics, Delaware State University, Dover, DE 19901, USA
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10.1007/BF02072014
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Issue 2
Keywords 65R32
Wavelets
65R20
42C40
65F22
Scattering
65T60
Born approximation
Ground Penetrating Radar imaging
Ground penetrating radar
Green function
Laplacian
Inverse problem
Scattering theory
Numerical approximation
Numerical analysis
Applied mathematics
Radar imaging
Integral equation
Galerkin method
Language English
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SubjectTerms Born approximation
Exact sciences and technology
Fourier analysis
Ground Penetrating Radar imaging
Integral equations, integral transforms
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Scattering
Sciences and techniques of general use
Wavelets
Title Wavelet methods for Ground Penetrating Radar imaging
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