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24 August 2000 Microwave imaging as applied to remote sensing making use of a multilevel fast multipole algorithm
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A nonlinear reconstruction scheme based on the Distorted Born Iterative Method (DBIM) applied to metallic scatterers is presented to solve two-dimensional inverse scattering problems. By making use of half-quadratic regularization the inherently ill-posed problem of nonlinear inverse scattering can be alleviated and edges of the scatterer's profile function simultaneously be preserved. Reconstruction results are found by the minimization of a cost function. A bistatic simulated experimental set-up is proposed in angular and frequency diversity. A Multilevel Fast Multipole Algorithm (MLFMA) in combination with a conjugate gradient (CG) scheme is introduced to solve the forward as well as the inverse scattering problem involved in the DBIM algorithm. Through the use of MLFMA for the forward and for the inverse solver, the computational complexity per CG iteration is of order O(N log N) compared to O(N2) in a standard implementation without the MLFMA. Numerical reconstruction results obtained from synthetic scattering data are presented.
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Michael Brandfass and Weng Cho Chew "Microwave imaging as applied to remote sensing making use of a multilevel fast multipole algorithm", Proc. SPIE 4053, Algorithms for Synthetic Aperture Radar Imagery VII, (24 August 2000);

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