Display Abstract

Title On Qualitative Identification of Linear Discrete Dynamical Systems arising in Nondestructive Testing using Infrared Thermography

Name Juan Peran
Country Spain
Email jperan@ind.uned.es
Co-Author(s) Laura Vega
Submit Time 2014-02-26 10:49:41
Session
Special Session 30: Discrete dynamics and applications
Contents
Infrared thermography provides a non-destructive technique for testing of the surface or near-surface defects in certain materials. The part to be inspected is illuminated with infrared light and the thermal response is recorded by an infrared detector to obtain a three dimensional array (\emph{frame width (number of pixels) $\times$ frame length (number of pixels) $\times$ time (number of frames})) which can be visualized as a greyscale video clip. We model this process as a first order linear discrete dynamical system (discrete anisotropic diffusion equation) whose unknown coefficients have to be estimated to localize defects. The amount of information of the greyscale video clip (a \emph{slice} of the total evolution of the dynamical system) is summarized into a RGB colour image to which we apply edge detection techniques.