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Proceedings Paper

Optimal modeling by the use of reparameterizations
Author(s): Gilles Fleury; Marie-Eve Davoust
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Paper Abstract

A measurement can be defined as the best way to take advantage of the information given by the observed data. For this purpose, a natural formalism, based on a couple of fundamental equations, is presented. The model, which described the physical phenomenon, should in that sense be wisely built. The parameterization of the model structure is proved to have no effect on the statistical properties of the measurement. Then, a reparameterization of the model structure can be a way of optimizing the inversion process. An optimal reparameterization can be described. It leads to the inversion of a nonlinear system which cannot be solved in a closed form. So, to avoid such a problem, a new suboptimal method is proposed. The results are eventually exemplified on an eddy-current non-destructive testing problem.

Paper Details

Date Published: 25 June 1999
PDF: 10 pages
Proc. SPIE 3816, Mathematical Modeling, Bayesian Estimation, and Inverse Problems, (25 June 1999); doi: 10.1117/12.351315
Show Author Affiliations
Gilles Fleury, Ecole Superieure d'Electricite (France)
Marie-Eve Davoust, Ecole Superieure d'Electricite (France)

Published in SPIE Proceedings Vol. 3816:
Mathematical Modeling, Bayesian Estimation, and Inverse Problems
Françoise J. Prêteux; Ali Mohammad-Djafari; Edward R. Dougherty, Editor(s)

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