Reconstruction of inclusions in photothermal imaging


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Carpio, Ana and Rapun, Maria Luisa (2014) Reconstruction of inclusions in photothermal imaging. In IPTA 2014: Inverse Problems from Theory to Application, 26-28th August 2014, Bristol (UK). (Unpublished)

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Photothermal imaging allows to inspect the structure of composite materials by means of nondestructive tests. The surface of a medium is heated at a number of locations. The resulting temperature field is recorded on the same surface. Thermal waves are strongly damped. Robust schemes are needed to reconstruct the structure of the medium from the decaying time dependent temperature field. The inverse problem is formulated as a weighted optimization problem with a time dependent constraint. The inclusions buried in the medium and their material constants are the design variables. We propose an approximation scheme in two steps. First, Laplace transforms are used to generate an approximate optimization problem with a small number of stationary constraints. Then, we implement a descent strategy alternating topological derivative techniques to reconstruct the geometry of inclusions with gradient methods to identify their material parameters. Numerical simulations assess the effectivity of the technique.

Item Type:Conference or Workshop Item (Lecture)
Uncontrolled Keywords:Phototermal imaging, topological derivatives, gradient methods, constrained optimization
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Materials
Sciences > Mathematics > Numerical analysis
Sciences > Mathematics > Differential equations
ID Code:39808
Deposited On:02 Nov 2016 08:47
Last Modified:12 Dec 2018 15:06

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