Enhancement of a Gauss-Newton reconstruction for an inhomogeneous refraction index through defects localization
Résumé
This paper deals with the reconstruction of both the internal geometry and the values of an inhomogenous acoustic refraction index through a piece-wise constant iterative approximation. We propose to enhance a classical Gauss-Newton scheme through the use of geometrical informations gained from a previously developed defects localization method. Both enhancements are aimed to reducing the number of computed parameters. The first one consists in a preliminary selection of relevant parameters, while the second one is an adaptive refinement to enhance precision with a low number of parameters. Each of them is numerically illustrated.
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