Adaptive refinement and selection process through defect localization for reconstructing an inhomogeneous refraction index

We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In this context, we propose two enhancements intended to reduce the number of parameters to reconstruct, while preserving ac...

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Bibliographic Details
Published inarXiv.org
Main Authors Grisel, Yann, Raymond, Jean-Pierre, Mazet, Pierre-Alain, Mouysset, Vincent
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.03.2014
Subjects
Iterative methods
Localization
Localization method
Mathematics - Numerical Analysis
Parameters
Refraction
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Summary:We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In this context, we propose two enhancements intended to reduce the number of parameters to reconstruct, while preserving accuracy. This is achieved through the use of geometrical informations obtained from a previously developed defect localization method. The first enhancement 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1304.4743