IEEE Trans Image Process - Efficient reconstruction of dielectric objects based on integral equation approach with Gauss-Newton minimization.

Tópicos

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Resumo

Reconstruction of unknown objects by microwave illumination requires efficient inversion for measured electromagnetic scattering data. In the integral equation approach for reconstructing dielectric objects based on the Born iterative method or its variations, the volume integral equations are involved because the imaging domain is fully inhomogeneous. When solving the forward scattering integral equation, the Nystr?m method is used because the traditional method of moments may be inconvenient due to the inhomogeneity of the imaging domain. The benefits of the Nystr?m method include the simple implementation without using any basis and testing functions and low requirement on geometrical discretization. When solving the inverse scattering integral equation, the Gauss-Newton minimization approach with a line search method (LSM) and multiplicative regularization method (MRM) is employed. The LSM can optimize the search of step size in each iteration, whereas the MRM may reduce the number of numerical experiments for choosing the regularization parameter. Numerical examples for reconstructing typical dielectric objects under limited observation angles are presented to illustrate the inversion approach.

Resumo Limpo

reconstruct unknown object microwav illumin requir effici invers measur electromagnet scatter data integr equat approach reconstruct dielectr object base born iter method variat volum integr equat involv imag domain fulli inhomogen solv forward scatter integr equat nystrm method use tradit method moment may inconveni due inhomogen imag domain benefit nystrm method includ simpl implement without use basi test function low requir geometr discret solv invers scatter integr equat gaussnewton minim approach line search method lsm multipl regular method mrm employ lsm can optim search step size iter wherea mrm may reduc number numer experi choos regular paramet numer exampl reconstruct typic dielectr object limit observ angl present illustr invers approach

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