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Type: Artigo de evento
Title: Geometrical Interpretation And Visualization Of Inverse Acoustic Problems In The Presence Of Model Uncertainties And Measurement Error
Author: Viana E.S.
Martin V.
Arruda J.R.F.
Abstract: The geometrical interpretation can be used to evaluate the quality of inverse acoustic problems. Considering a well-conditioned inverse problem, the results will depend on the model uncertainties and on measurement errors (random perturbations around the objective). The accuracy of the model can be analyzed through the geometrical distances based on the perturbed objective. This approach has shown to be robust for different examples with complex matrix equations. In these cases, the obtained dispersion cloud has well defined bounds and a characteristic shape related to the propagation model. When dealing with arbitrary problems in the real domain, some bounds are not observed. This is understandable via the geometrical explanation, being related to the difference between the rank of the model and the dimension of the objective. A straightforward graphical visualization is proposed for a simple example of source identification problem. Although the problem is defined in the complex domain, a corresponding problem in the 3D real domain was derived.
Editor: KU Leuven
Rights: fechado
Identifier DOI: 
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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