NDLI: Solving the full nonlinear inverse problem for GPR using a three step method

Content Provider	IEEE Xplore Digital Library
Author	van Kempen, L. Thanh, N. T. Sahli, H. Hao, D. N.
Copyright Year	2007
Description	Author affiliation: Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium, lmkempen@etro.vub.ac.be (van Kempen, L.) \|\| Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium, ntthanh@etro.vub.ac.be (Thanh, N. T.) \|\| Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium, hsahli@etro.vub.ac.be (Sahli, H.) \|\| Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium, Hanoi Institute of Mathematics, 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam, hao@etro.vub.ac.be (Hao, D. N.)
Abstract	In order to extract accurate quantitative information out of Ground Penetrating Radar (GPR) measurement data, one needs to solve a nonlinear inverse problem. In this paper we formulate such problem as a nonlinear least squares problem which is non convex. Solving a non-convex optimization problem requires a good initial estimation of the optimal solution. Therefore we use a three step method to solve the above non-convex problem. In a first step the qualitative solution of the linearized problem is estimated to obtain the detection and support of the subsurface scatterers. For this first step Synthetic Aperture Radar (SAR) is proposed. The second step consists out of a qualitative solution of the linearized problem to obtain a first guess for the material parameter values of the detected objects. The method proposed for this is Algebraic Reconstruction Technique (ART), which is an iterative method, starting from the initial value, given by the first step, and improving on this until an optimum is achieved. The final step then consists out of the solution of the nonlinear inverse problem using a variational method.
Starting Page	147
Ending Page	152
File Size	5028404
Page Count	6
File Format	PDF
ISBN	1424408865
DOI	10.1109/AGPR.2007.386542
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-06-27
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Inverse problems Ground penetrating radar Radar detection Synthetic aperture radar Data mining Least squares methods Radar scattering Object detection Subspace constraints Iterative methods Adjoint Method Ground Penetrating Radar Nonlinear Inverse Problem ART
Content Type	Text
Resource Type	Article

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