Title : 
Wavelet galerkin algorithms for ground penetrating radar imaging
         
        
            Author : 
Fengshan Liu ; Yi Ling ; Xiquan Shi ; Xianggen Xia
         
        
            Author_Institution : 
Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, USA
         
        
        
        
        
        
            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 : 
Approximation methods; Green function; Ground penetrating radar; Integral equations; Inverse problems; Laplace equations; Optical imaging; Optical scattering; Radar imaging; Radar scattering; Born approximation; Ground Penetrating Radar imaging; Scattering; Wavelets;
         
        
        
        
            Conference_Titel : 
Ground Penetrating Radar, 2004. GPR 2004. Proceedings of the Tenth International Conference on
         
        
            Conference_Location : 
Delft, The Netherlands
         
        
            Print_ISBN : 
90-9017959-3