Optimization of Total Variation regularization to improve the accuracy of the characterization of vertical cracks by lock-in vibrothermography
Resumen: We use lock-in vibrothermography to characterize vertical cracks. In the presence of ultrasounds, the rubbing of the crack faces produces heat which induces a temperature rise at the surface that is measured with an infrared camera. We fit data obtained by modulating the amplitude of the ultrasounds at several modulation frequencies. The inverse problem consisting of finding the geometry and location of the heat source from vibrothermography data is ill-posed, which makes it necessary to stabilize the inversion algorithm. We analyze the effect of the stabilizing term on the accuracy of the reconstructions.
Idioma: Inglés
DOI: 10.21611/qirt.2016.087
Año: 2016
ISSN: 2371-4085

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MAT2011-23811
Tipo y forma: Article (Published version)
Área (Departamento): Matemática Aplicada (Departamento de Matemática Aplicada)

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