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

Luc Van Kempen, Thanh NGUYEN Trung, Hichem Sahli, Hao Dinh Nho

Research output: Chapter in Book/Report/Conference proceedingConference paper

2 Citations (Scopus)

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.
Original languageEnglish
Title of host publicationProceedings of the 4th International Workshop on Advanced Ground Penetrating Radar, 2007
Pages147-152
Number of pages6
Publication statusPublished - 27 Jun 2007

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